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) | 
|---|---|
| 284.98096319577433105 + 2.5911966511996916472e-4121j | 6.96e-2009, 6.96e-2009j | 
| 313.26799256172201403 - 2.2431864957778015453e-4129j | 5.45e-2012, 5.45e-2012j | 
| 332.18219692152196776 + 1.3640570559190977041e-4133j | 3.65e-2014, 3.65e-2014j | 
| 262.37345904926202134 - 1.9466188508226140406e-4135j | 1.45e-2006, 1.45e-2006j | 
| 105.96661064269406182 + 1.0053010836355935389e-4171j | 4.11e-1998, 4.11e-1998j | 
| 50.605366742250001059 + 1.3715244789181928272e-4197j | 6.16e-2003, 6.16e-2003j | 
| 298.11728919340084913 - 3.3568993285150182789e-4197j | 2.86e-2010, 2.86e-2010j | 
| 252.33838450093746407 + 8.1231629616519810507e-4227j | 1.39e-2005, 1.39e-2005j | 
| 273.18347897676703535 + 6.0024719305485037966e-4311j | 1.12e-2007, 1.12e-2007j | 
| 9.3950709123011331292 + 6.1995572796959627446e-4379j | 5.03e-2019, 5.03e-2019j | 
| 182.38595939384120127 - 3.1416890918427931142e-4404j | 4.65e-2000, 4.65e-2000j | 
| 53.186765126382670242 + 3.0620177626335161957e-4470j | 1.83e-2002, 1.83e-2002j | 
| 34.567586950325321638 + 2.1325768791661502792e-4516j | 1.09e-2006, 1.09e-2006j | 
| 132.53126241776213118 + 3.895454655222732767e-4571j | 4.25e-1998, 4.25e-1998j | 
| 10.28614777666996332 + 3.124179745980949819e-4628j | 3.06e-2018, 3.06e-2018j | 
| 48.09876628053535148 + 7.9206541988451597488e-4608j | 2.12e-2003, 2.12e-2003j | 
| 23.480776674305115654 - 6.4695653172617296386e-4643j | 1.26e-2010, 1.26e-2010j | 
| 43.30525747125625543 + 3.0508720290964483218e-4647j | 1.99e-2004, 1.99e-2004j | 
| 242.9371869888890083 + 9.2156709982810563303e-4737j | 1.01e-2004, 1.01e-2004j | 
| 158.4698560422363105 + 4.8717160817336872713e-4823j | 7.96e-1999, 7.96e-1999j | 
| 152.96230241627978395 + 8.8534002091887533933e-4870j | 1.25e-1998, 1.25e-1998j | 
| 188.90080452259714084 + 4.8482971891555734288e-4891j | 1.82e-2000, 1.82e-2000j | 
| 25.165549672991246063 + 5.848581954952119029e-4913j | 6.09e-2010, 6.09e-2010j | 
| 70.321905089042023834 - 4.4966453585386504468e-4901j | 3.66e-2000, 3.66e-2000j | 
| 26.914767349204254882 + 1.1688268814466366957e-4912j | 3e-2009, 3e-2009j | 
| 118.69302967935984256 + 6.3651737323793460907e-4900j | 5.61e-1998, 5.61e-1998j | 
| 210.01467950425420519 - 3.6546644780217753639e-4911j | 6.09e-2002, 6.09e-2002j | 
| 17.379978398204387104 + 3.6401655543991983753e-4932j | 1.22e-2013, 1.22e-2013j | 
| 64.286676465685281939 + 7.4850830845700997427e-4919j | 7.29e-2001, 7.29e-2001j | 
| 94.242186952705374507 + 1.2927683903176034621e-4915j | 1.89e-1998, 1.89e-1998j | 
| 83.43243820409450721 + 4.6049827042552563797e-4928j | 4.83e-1999, 4.83e-1999j | 
| 202.69224458053648812 - 2.1174902172378894703e-4954j | 2.03e-2001, 2.03e-2001j | 
| 18.80959478592825573 - 6.4820178150294044359e-5012j | 6.9e-2013, 6.9e-2013j | 
| 73.466642296589362209 - 4.3551843722275813238e-4997j | 7.66e-2000, 7.66e-2000j | 
| 164.15473174619474146 - 2.2367848439927528861e-5069j | 4.24e-1999, 4.24e-1999j | 
| 234.07007988699505508 - 3.8482651528085937791e-5158j | 6.18e-2004, 6.18e-2004j | 
| 36.648242890455150357 + 6.0043775241755334391e-5211j | 4.65e-2006, 4.65e-2006j | 
| 14.715520424736034244 + 3.5190337992747030734e-5259j | 3.31e-2015, 3.31e-2015j | 
| 28.728949418856172376 + 7.4689189721815850956e-5241j | 1.42e-2008, 1.42e-2008j | 
| 142.44255023126607247 + 1.0838792689850426144e-5317j | 2.71e-1998, 2.71e-1998j | 
| 176.10003729744354428 + 5.474498518445099831e-5413j | 1.11e-1999, 1.11e-1999j | 
| 8.5348283148203149759 - 8.046590373267013633e-5487j | 5.85e-2020, 5.85e-2020j | 
| 6.022441439504456259 - 3.5735353691433233892e-5490j | 4.57e-2023, 4.57e-2023j | 
| 61.392724668587589165 - 1.3957503839778459132e-5465j | 3.14e-2001, 3.14e-2001j | 
| 225.66313038494488743 - 3.3074226473317993869e-5535j | 3.36e-2003, 3.36e-2003j | 
| 170.02748376623400807 - 6.2094148716587979998e-5618j | 2.23e-1999, 2.23e-1999j | 
| 110.09252733973113764 - 1.2806488622702846692e-5682j | 4.88e-1998, 4.88e-1998j | 
| 86.938714238543213004 - 1.0724295313103596678e-5731j | 7.5e-1999, 7.5e-1999j | 
| 0.50745403152084128147 + 1.7825598060167600764e-5800j | 7.12e-2036, 7.12e-2036j | 
| 20.303001532311023716 + 4.5495448999196662944e-5776j | 4.05e-2012, 4.05e-2012j | 
| 55.844222094287443683 + 4.2237339149893626916e-5762j | 5e-2002, 5e-2002j | 
| 147.62267238555513463 - 1.8728813904323812049e-5793j | 1.97e-1998, 1.97e-1998j | 
| 80.019832248095909645 - 5.1111755064620208868e-5836j | 2.57e-1999, 2.57e-1999j | 
| 137.41436244476372949 - 1.5418765388901924877e-5878j | 3.8e-1998, 3.8e-1998j | 
| 7.6766620001928113483 + 2.4144843150286307603e-5934j | 5.78e-2021, 5.78e-2021j | 
| 32.554664450334369889 + 2.2033847903966951779e-5920j | 2.97e-2007, 2.97e-2007j | 
| 123.17601689527993575 - 1.1952866973767051685e-5908j | 5.44e-1998, 5.44e-1998j | 
| 30.608693593098759049 + 1.6894265613161225849e-5942j | 6.44e-2008, 6.44e-2008j | 
| 1.353484525714873029 + 7.5243908120489287797e-5966j | 2.75e-2032, 2.75e-2032j | 
| 1.0174529102088945199 - 7.2887406886992980746e-5967j | 1.95e-2033, 1.95e-2033j | 
| 13.48518494122766298 + 1.9333766960214306151e-5949j | 5.54e-2016, 5.54e-2016j | 
| 98.044773724521254091 - 3.367587803639120547e-5930j | 2.39e-1998, 2.39e-1998j | 
| 101.95184478148035799 + 1.6734997423027273466e-5951j | 3.23e-1998, 3.23e-1998j | 
| 45.665772014327238977 - 3.8751048728739165486e-5968j | 6.55e-2004, 6.55e-2004j | 
| 0.73675179257765023875 - 4.8748482064928030331e-5999j | 1.2e-2034, 1.2e-2034j | 
| 16.0147952398787541 - 1.1199762355674031511e-5978j | 2.08e-2014, 2.08e-2014j | 
| 4.5366202969211279833 - 1.2998551477026573127e-5989j | 2.83e-2025, 2.83e-2025j | 
| 76.698614088425947772 + 3.2521295827642957218e-5962j | 1.51e-1999, 1.51e-1999j | 
| 6.833216466499709473 - 2.6834711936492515511e-5991j | 5.77e-2022, 5.77e-2022j | 
| 21.860025398994743248 - 6.30133869858222927e-5981j | 2.2e-2011, 2.2e-2011j | 
| 1.7457611011583465757 + 6.7316577475777588368e-6001j | 4.44e-2031, 4.44e-2031j | 
| 41.016158244483974765 - 3.3471822023321508284e-5973j | 6.35e-2005, 6.35e-2005j | 
| 38.79746930976246501 + 7.6543762578436423514e-5974j | 1.66e-2005, 1.66e-2005j | 
| 67.262510310853793567 - 1.0269981956414177712e-5966j | 1.66e-2000, 1.66e-2000j | 
| 217.65959184237326224 - 3.3808989398494273739e-5973j | 1.55e-2002, 1.55e-2002j | 
| 2.6979036886100121543 + 4.8539216916632572713e-6026j | 9.58e-2029, 9.58e-2029j | 
| 3.2567657723161068722 - 5.3600350991648782932e-6025j | 1.52e-2027, 1.52e-2027j | 
| 2.1940581292083786988 + 7.3154791572673669316e-6028j | 6.95e-2030, 6.95e-2030j | 
| 195.66256192675519269 - 9.3574732210494779483e-5996j | 6.53e-2001, 6.53e-2001j | 
| 5.2550655058877950737 - 9.3269983731448047601e-6037j | 3.37e-2024, 3.37e-2024j | 
| 58.579071417300359574 + 6.5802992779765627294e-6010j | 1.26e-2001, 1.26e-2001j | 
| 0.17739532692902294374 + 1.0034721087730069985e-6057j | 1.62e-2038, 1.62e-2038j | 
| 0.3225476896193923118 - 2.4429804591348608099e-6056j | 3.27e-2037, 3.27e-2037j | 
| 114.33332320555780738 + 1.1677350444517426962e-6015j | 5.46e-1998, 5.46e-1998j | 
| 0.014041271908644915452 - 1.0086677292450631067e-6099j | 1.09e-2041, 1.09e-2041j | 
| 3.8699899657627556702 + 1.4784773422408261023e-6083j | 2.03e-2026, 2.03e-2026j | 
| 0.07333781032852999008 - 2.3012926675051435784e-6097j | 4.61e-2040, 4.61e-2040j | 
| 11.259728651356320879 + 1.0882238805543738107e-6074j | 1.65e-2017, 1.65e-2017j | 
| 90.54109606103725735 - 6.7101869973895285755e-6055j | 1.3e-1998, 1.3e-1998j | 
| 127.78703500499127928 + 2.1418213052129566605e-6099j | 5.38e-1998, 5.38e-1998j | 
| 12.329744954317142862 - 5.0316031155308494673e-6143j | 9.75e-2017, 9.75e-2017j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.1254305320176769687e-123 - 2.7833751827321348869e-4244j | 1.02e-368, 1.59e-1873j | 
| 1.4740396256817274763e-135 + 1.4023537133885994589e-4251j | 1.02e-372, 1.59e-1877j | 
| 1.2085903765057898561e-143 - 6.9565571754486177985e-4256j | 2.22e-375, 3.46e-1880j | 
| 1.1734279739173565381e-113 - 2.0552611717272828894e-4240j | 7.83e-367, 1.22e-1871j | 
| 3.8801880520830160969e-46 + 6.1641164492739881103e-4207j | 7.93e-336, 1.24e-1840j | 
| 2.6782468982098757035e-22 - 1.3304986936353122949e-4194j | 4.11e-309, 6.41e-1814j | 
| 4.7314687318001801822e-129 - 5.8373457902533042755e-4248j | 3.02e-371, 4.71e-1876j | 
| 2.4977410343478160205e-109 + 2.205212607122367253e-4238j | 3.3e-366, 5.14e-1871j | 
| 2.5672102423857589951e-118 + 1.7312916162352633718e-4242j | 2.9e-368, 4.51e-1873j | 
| 7.2026176822062713888e-05 - 2.9686581973099189846e-4184j | 2.63e-255, 4.11e-1760j | 
| 3.9518613308858845963e-79 - 1.4586220846190892843e-4223j | 2.41e-357, 3.76e-1862j | 
| 2.0866614092509903114e-23 + 3.4460766283931155965e-4195j | 6.18e-315, 9.64e-1820j | 
| 1.9885303546083963029e-15 + 6.7342303208657590488e-4191j | 1.08e-301, 1.69e-1806j | 
| 1.3328789271818342198e-57 + 9.401915425068650184e-4213j | 2.37e-347, 3.69e-1852j | 
| 3.1578206721160079354e-05 + 1.7356649679738469931e-4184j | 2.34e-262, 3.65e-1767j | 
| 3.188589339830952404e-21 + 4.9621246501481431072e-4194j | 6.72e-312, 1.05e-1816j | 
| 1.0486306607896119309e-10 + 3.2103991081680159584e-4188j | 6.94e-291, 1.08e-1795j | 
| 3.623433741481087331e-19 + 6.2400268230204882312e-4193j | 3.74e-309, 5.84e-1814j | 
| 2.8426093130597814193e-105 - 1.9365368855287850554e-4236j | 7.56e-367, 1.18e-1871j | 
| 8.4174739085128728646e-69 - 2.1497855174232553359e-4218j | 2.34e-354, 3.65e-1859j | 
| 2.0113360785841028548e-66 + 3.3659182900160131841e-4217j | 2.77e-353, 4.32e-1858j | 
| 6.0711185065451971027e-82 + 5.7804833899429864412e-4225j | 2.44e-360, 3.8e-1865j | 
| 2.0206434527362769452e-11 - 1.2243538437233753659e-4188j | 9.37e-299, 1.46e-1803j | 
| 8.9370229521293229437e-31 + 4.8074748844821173897e-4199j | 9.32e-331, 1.45e-1835j | 
| 3.6465048393149619167e-12 + 4.5587938837522801635e-4189j | 3.69e-301, 5.75e-1806j | 
| 1.2524264768036247979e-51 - 9.9497281252456747768e-4210j | 8.27e-347, 1.29e-1851j | 
| 4.6300237226331845783e-91 - 1.7358257479454395345e-4229j | 6.91e-365, 1.08e-1869j | 
| 3.9567784188376708743e-08 + 1.2357203511927696489e-4186j | 9.29e-293, 1.45e-1797j | 
| 3.5334845705683389108e-28 + 1.0797943217437867321e-4197j | 2.02e-328, 3.15e-1833j | 
| 4.4190282643026982949e-41 - 2.3572023282335191012e-4204j | 7.15e-341, 1.11e-1845j | 
| 2.017014866012308122e-36 + 5.8073715815143935986e-4202j | 2.32e-337, 3.62e-1842j | 
| 6.7218680764502064892e-88 + 6.3659795963928161321e-4228j | 3.2e-364, 4.99e-1869j | 
| 9.9064211998660139522e-09 - 5.0949711501605013379e-4187j | 2.46e-299, 3.83e-1804j | 
| 3.9569902146074830273e-32 - 9.5493839277061750969e-4200j | 1.09e-333, 1.7e-1838j | 
| 2.9525980265993685391e-71 + 1.2616369887913856679e-4219j | 1.7e-357, 2.65e-1862j | 
| 1.9075821384322733306e-101 + 1.3874202272587432792e-4234j | 7.08e-370, 1.1e-1874j | 
| 2.5653052354970294242e-16 - 2.1873507059621197018e-4191j | 1.04e-317, 1.62e-1822j | 
| 5.1450680336822997394e-07 + 7.0061743671406343464e-4186j | 7.36e-299, 1.15e-1803j | 
| 6.1604043650612809564e-13 - 1.6551183318774563114e-4189j | 5.93e-312, 9.25e-1817j | 
| 7.0114579830529265857e-62 + 6.5097020636830271382e-4215j | 1.86e-354, 2.9e-1859j | 
| 2.0487584888177024266e-76 + 3.3050776227803776219e-4222j | 2.55e-360, 3.98e-1865j | 
| 0.00016881410315937067989 + 4.2875621060039636733e-4184j | 1.15e-292, 1.8e-1797j | 
| 0.0019155406581626093961 - 9.3600105861991520913e-4184j | 2.19e-287, 3.41e-1792j | 
| 6.2067372205269232178e-27 - 4.8264786102516730423e-4197j | 7.57e-333, 1.18e-1837j | 
| 8.1170515504067935278e-98 - 8.2190198584268271387e-4233j | 7.53e-370, 1.17e-1874j | 
| 8.5904424804378707063e-74 - 6.7707926915440701647e-4221j | 2.81e-359, 4.37e-1864j | 
| 6.4399235011986750887e-48 - 7.6471073809347084578e-4208j | 1.41e-349, 2.2e-1854j | 
| 6.2187415545301573192e-38 - 9.7050345347769977585e-4203j | 9.68e-344, 1.51e-1848j | 
| 0.1239449718336176549 + 8.9587581930299030055e-4183j | 4.11e-289, 6.41e-1794j | 
| 2.3219340511237879546e-09 + 2.067021312013304284e-4187j | 3.22e-314, 5.02e-1819j | 
| 1.5061569458475819679e-24 - 8.6151400875241099231e-4196j | 5.09e-333, 7.94e-1838j | 
| 4.0658730230527153441e-64 - 4.863285730344896976e-4216j | 1.63e-356, 2.54e-1861j | 
| 5.9567953840057279426e-35 - 3.3225537103673456555e-4201j | 3.26e-342, 5.08e-1847j | 
| 1.0392154645071259659e-59 - 8.1007717469362103709e-4214j | 3.05e-355, 4.75e-1860j | 
| 0.00039597568614979781794 - 5.6356490358005852405e-4184j | 1.28e-306, 1.99e-1811j | 
| 1.4394782563629684571e-14 - 2.0135979365054811341e-4190j | 2.83e-326, 4.41e-1831j | 
| 1.4553984291017772724e-53 + 1.0393039010184976104e-4210j | 2.36e-353, 3.67e-1858j | 
| 9.7379954922788426202e-14 + 5.8526305006752637493e-4190j | 1.45e-325, 2.26e-1830j | 
| 0.094072593624492812716 - 6.9293075135822480925e-4183j | 1.81e-291, 2.82e-1796j | 
| 0.11135902825757036278 + 8.2366261599658965827e-4183j | 4.09e-289, 6.38e-1794j | 
| 1.6616615507757175133e-06 - 1.6457106792209833675e-4185j | 1.41e-316, 2.2e-1821j | 
| 1.0130777549024672784e-42 + 3.4167466024417530629e-4205j | 2.15e-348, 3.36e-1853j | 
| 2.0922398407525824077e-44 - 4.7097591693670044786e-4206j | 2.97e-349, 4.63e-1854j | 
| 3.5253129028368406611e-20 - 1.7890222086744245365e-4193j | 3.1e-334, 4.84e-1839j | 
| 0.12158189180480063265 - 9.1272883691347394354e-4183j | 1.54e-297, 2.39e-1802j | 
| 1.4775882116051046703e-07 - 2.9575526590770070851e-4186j | 1.9e-321, 2.96e-1826j | 
| 0.0074204349749225707687 - 1.594803594200621754e-4183j | 6.74e-313, 1.05e-1817j | 
| 1.6054325473904818904e-33 + 1.8196092574604790422e-4200j | 1.79e-343, 2.79e-1848j | 
| 0.00089369169715424212871 + 7.242705736263948963e-4184j | 1.09e-315, 1.7e-1820j | 
| 5.097942064421521256e-10 - 8.230988368656917575e-4188j | 8.63e-325, 1.35e-1829j | 
| 0.073357584913595362783 + 5.6185973948179238927e-4183j | 2.63e-308, 4.1e-1813j | 
| 3.4658595764672947542e-18 - 2.1072053309618764978e-4192j | 1.95e-333, 3.04e-1838j | 
| 3.0880683428054593989e-17 + 6.8945513867821682591e-4192j | 1.14e-332, 1.78e-1837j | 
| 1.8530417185663116312e-29 - 2.3239931715739870615e-4198j | 4.94e-342, 7.7e-1847j | 
| 2.315858774541428804e-94 + 4.0902735419971497661e-4231j | 1.14e-376, 1.78e-1881j | 
| 0.035791220171744220813 + 3.4946683761935741433e-4183j | 5.56e-319, 8.66e-1824j | 
| 0.022575002026605713381 - 2.7088620379764996182e-4183j | 3.75e-320, 5.85e-1825j | 
| 0.053073925674155162517 - 4.4619351123180924782e-4183j | 4.91e-318, 7.66e-1823j | 
| 7.2974298162680333054e-85 - 2.041194396951114565e-4226j | 3.81e-372, 5.94e-1877j | 
| 0.0038820773884436015724 + 1.2194808829029370072e-4183j | 1.95e-323, 3.04e-1828j | 
| 1.0058667201948838274e-25 + 2.0772186837457537231e-4196j | 3.68e-341, 5.73e-1846j | 
| 0.10484771742452731206 + 5.0056394784959403064e-4183j | 7.8e-321, 1.22e-1825j | 
| 0.11935644988847495832 - 7.4153050212569606426e-4183j | 2.38e-320, 3.71e-1825j | 
| 9.5299774187832307346e-50 + 8.9761955043398869226e-4209j | 1.53e-355, 2.38e-1860j | 
| 0.035460166238073820911 + 7.3742732247236592496e-4184j | 7.38e-323, 1.15e-1827j | 
| 0.013352092963329605072 + 2.0835186096831454633e-4183j | 1.88e-325, 2.94e-1830j | 
| 0.0764267379769357341 - 2.5885369740481693044e-4183j | 5.79e-323, 9.02e-1828j | 
| 1.3175973518132823857e-05 - 8.5483637383401268088e-4185j | 1.24e-329, 1.94e-1834j | 
| 1.7415969481992778571e-39 + 1.5487855870852033419e-4203j | 3.57e-350, 5.56e-1855j | 
| 1.4884605581117969574e-55 - 1.0207059578044278373e-4211j | 1.35e-358, 2.1e-1863j | 
| 4.9259744680483150793e-06 + 3.8179014074526103283e-4185j | 8.65e-331, 1.35e-1835j | 
All rules of Laguerre type can be downloaded here packed into a single file.