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) | 
|---|---|
| 336.06219853674965933 - 5.53813172452843186e-5858j | 6.99e-2014, 6.99e-2014j | 
| 288.66339990486927593 - 2.1875561198200801976e-5842j | 1.41e-2008, 1.41e-2008j | 
| 255.86856879061422846 - 2.6995261191997955925e-5842j | 3.15e-2005, 3.15e-2005j | 
| 276.81254094969291458 + 8.1321565973609558947e-5853j | 2.62e-2007, 2.62e-2007j | 
| 69.403237096999028988 - 6.1147113604247982067e-5856j | 5.25e-2000, 5.25e-2000j | 
| 7.875511280283962492 - 5.1159204437824866761e-5884j | 3.21e-2021, 3.21e-2021j | 
| 301.85715558889329497 + 6.1344453038214671354e-5860j | 5.26e-2010, 5.26e-2010j | 
| 198.88762395296957946 - 4.2151921777980639795e-5866j | 1.49e-2000, 1.49e-2000j | 
| 213.32283673834676741 + 6.7148610398332197181e-5888j | 1.38e-2001, 1.38e-2001j | 
| 265.95200781963301367 + 9.1036145178455321734e-5901j | 3e-2006, 3e-2006j | 
| 23.16338616652780367 - 1.180753364492741731e-5934j | 6.75e-2011, 6.75e-2011j | 
| 108.53051372141080196 - 8.3172985799311674599e-5920j | 1.08e-1997, 1.08e-1997j | 
| 40.49636177560777036 - 1.1223120465618624097e-5968j | 5.1e-2005, 5.1e-2005j | 
| 150.53092974760464817 - 8.0361718874076495374e-5969j | 4.53e-1998, 4.53e-1998j | 
| 6.1530813711086658207 - 1.6778854696624675281e-6024j | 3.49e-2023, 3.49e-2023j | 
| 24.831157847073692374 - 2.120490327422501925e-6012j | 3.59e-2010, 3.59e-2010j | 
| 66.388265890768749227 + 6.6876591970728319574e-5999j | 2.42e-2000, 2.42e-2000j | 
| 34.126962506505544073 + 2.2890532054939876152e-6015j | 8.67e-2007, 8.67e-2007j | 
| 167.1797385501192718 + 1.368412932700038785e-6004j | 1.04e-1998, 1.04e-1998j | 
| 161.45574775736292722 - 3.9837544251372372078e-6026j | 1.84e-1998, 1.84e-1998j | 
| 14.446773841110629678 + 4.7711696413674072623e-6051j | 9.53e-2016, 9.53e-2016j | 
| 26.561840964387153881 + 4.0478622333305506186e-6044j | 1.91e-2009, 1.91e-2009j | 
| 21.557926163987615506 + 3.5218634660753848747e-6046j | 1.15e-2011, 1.15e-2011j | 
| 317.07167102869531546 + 1.2958372816647905634e-6046j | 1.08e-2011, 1.08e-2011j | 
| 60.601885709812344935 - 4.4604533085383445218e-6036j | 3.9e-2001, 3.9e-2001j | 
| 116.97345777255787247 - 5.0071536144826820873e-6031j | 1.47e-1997, 1.47e-1997j | 
| 10.897237510077119062 + 1.4160573391952856155e-6054j | 2.06e-2018, 2.06e-2018j | 
| 30.214521163818167461 + 5.9412236040696077997e-6044j | 4.32e-2008, 4.32e-2008j | 
| 121.37129146626493167 - 1.095369060023654935e-6031j | 1.45e-1997, 1.45e-1997j | 
| 96.691585893460253332 + 5.2115096065161696911e-6040j | 4.87e-1998, 4.87e-1998j | 
| 36.182495611649253528 - 9.8593704682033270757e-6060j | 3.66e-2006, 3.66e-2006j | 
| 3.4142135623730950488 - 9.5771657171040651732e-6084j | 3.14e-2027, 3.14e-2027j | 
| 125.89243438951420728 + 4.4348354737109431691e-6051j | 1.46e-1997, 1.46e-1997j | 
| 17.109946175547613593 + 2.03975890818806405e-6084j | 4.41e-2014, 4.41e-2014j | 
| 78.955898212715523805 + 2.906430987389836878e-6067j | 3.89e-1999, 3.89e-1999j | 
| 221.01025368170920655 + 3.5369248647507035423e-6095j | 3.48e-2002, 3.48e-2002j | 
| 9.8315865677302446272 + 1.0153391455234356369e-6173j | 2.44e-2019, 2.44e-2019j | 
| 205.95856673297495162 + 4.4552546288891491742e-6152j | 5.12e-2001, 5.12e-2001j | 
| 229.05708183557411383 + 6.8835403079501395368e-6199j | 7.35e-2003, 7.35e-2003j | 
| 75.685204621187684258 - 9.3780168796416311346e-6231j | 2.08e-1999, 2.08e-1999j | 
| 38.305335424981433939 - 1.7784075081696968471e-6267j | 1.39e-2005, 1.39e-2005j | 
| 179.20403966289876446 + 3.3533841956822249166e-6270j | 2.47e-1999, 2.47e-1999j | 
| 0.85441270684190060635 - 3.4393828462732136466e-6331j | 2.88e-2034, 2.88e-2034j | 
| 6.9850325531926201383 + 3.0045182441092083006e-6320j | 3.49e-2022, 3.49e-2022j | 
| 72.501618870949328667 + 1.3708381092697924489e-6294j | 1.1e-1999, 1.1e-1999j | 
| 145.31223073493357562 - 6.853138308151652615e-6302j | 6.73e-1998, 6.73e-1998j | 
| 52.50856780382642681 + 6.0013264589196768282e-6327j | 1.97e-2002, 1.97e-2002j | 
| 18.531718176915523516 - 1.0165236278939411208e-6338j | 3.17e-2013, 3.17e-2013j | 
| 28.356071209458483165 - 7.7052976131361837917e-6334j | 9.45e-2009, 9.45e-2009j | 
| 32.137901514937166231 + 1.3717994307914681873e-6332j | 2.01e-2007, 2.01e-2007j | 
| 8.8243709066927300114 - 1.5680735464631009055e-6345j | 2.86e-2020, 2.86e-2020j | 
| 237.5082497832158162 - 1.2335998026430318804e-6322j | 1.34e-2003, 1.34e-2003j | 
| 246.42068757783647546 - 6.9663476203826487847e-6348j | 2.19e-2004, 2.19e-2004j | 
| 63.455014146513978763 - 1.5631073724012362909e-6396j | 1.03e-2000, 1.03e-2000j | 
| 2.3817759229859428309 - 5.011653544365908123e-6486j | 1.89e-2029, 1.89e-2029j | 
| 104.47761436602204563 - 2.3207065761679584679e-6507j | 9.22e-1998, 9.22e-1998j | 
| 130.5416535347987433 - 6.5200869280510096438e-6647j | 1.26e-1997, 1.26e-1997j | 
| 49.961650306410453398 + 6.4442105468614475156e-6767j | 7.06e-2003, 7.06e-2003j | 
| 5.3799222917557839349 - 2.7510770848094681926e-6824j | 3.58e-2024, 3.58e-2024j | 
| 1.1705028427167453126 + 1.4467945928493262793e-6850j | 5.88e-2033, 5.88e-2033j | 
| 4.010921949123464195 - 2.3916564050099515344e-6861j | 3.35e-2026, 3.35e-2026j | 
| 173.09184812959614915 + 6.3434415119611724526e-7001j | 5.14e-1999, 5.14e-1999j | 
| 185.52992325493172818 - 1.6044055544172186533e-7192j | 1.05e-1999, 1.05e-1999j | 
| 155.90928774062218813 - 5.8208932996250402509e-7333j | 3.26e-1998, 3.26e-1998j | 
| 135.32414530891569448 - 8.8718735872112492368e-7455j | 1.09e-1997, 1.09e-1997j | 
| 13.204569803846427392 + 1.3047740271026645364e-7533j | 1.35e-2016, 1.35e-2016j | 
| 1.5316617330872488523 - 4.7296670498554418785e-7551j | 9.22e-2032, 9.22e-2032j | 
| 92.952232144219619135 - 3.552789662765299202e-7584j | 3.34e-1998, 3.34e-1998j | 
| 0.5857864376269049512 - 4.1451107302646625915e-7698j | 1.1e-2035, 1.1e-2035j | 
| 89.311519296012244572 - 3.0918375355328720694e-7704j | 2.15e-1998, 2.15e-1998j | 
| 2.8728596976314857202 + 1.6980165343949452116e-7781j | 2.46e-2028, 2.46e-2028j | 
| 192.08510262883012972 - 2.7392358638987762148e-7772j | 4.13e-2000, 4.13e-2000j | 
| 55.130049670274200889 - 2.5641627342728829288e-7800j | 5.82e-2002, 5.82e-2002j | 
| 82.315723031335609576 + 4.6357445027540452127e-7795j | 7.56e-1999, 7.56e-1999j | 
| 57.827372734869285558 - 2.9201847284777368673e-7808j | 1.52e-2001, 1.52e-2001j | 
| 0.19782770624862616156 + 9.4186074348286490277e-7850j | 1.72e-2038, 1.72e-2038j | 
| 47.488087722933959892 - 2.5912139890463810873e-7814j | 2.26e-2003, 2.26e-2003j | 
| 140.24559236173113684 + 7.5122924381082702161e-7807j | 8.89e-1998, 8.89e-1998j | 
| 100.5323796220770418 - 1.7612424200692640718e-7819j | 6.88e-1998, 6.88e-1998j | 
| 15.748438600819434209 - 4.1788966569339264245e-7849j | 6.88e-2015, 6.88e-2015j | 
| 45.086733865291635816 + 3.9896312610098225117e-7837j | 6.54e-2004, 6.54e-2004j | 
| 0.36649520237436817168 - 1.3747600891928387012e-7870j | 4.76e-2037, 4.76e-2037j | 
| 42.756502068386686042 - 7.9866050452886613371e-7838j | 1.94e-2004, 1.94e-2004j | 
| 1.9356135903888197848 - 4.3696966354037872701e-7864j | 1.42e-2030, 1.42e-2030j | 
| 20.014213347804574648 - 2.4783380880158970139e-7845j | 2.19e-2012, 2.19e-2012j | 
| 12.021487665448864897 - 2.328697609222870345e-7851j | 1.72e-2017, 1.72e-2017j | 
| 85.766832085718194225 - 1.3474473460561669088e-7831j | 1.33e-1998, 1.33e-1998j | 
| 4.6658551508680268826 - 3.429750686181341173e-7861j | 3.51e-2025, 3.51e-2025j | 
| 112.69454733150154119 + 1.7472236839084684703e-7832j | 1.23e-1997, 1.23e-1997j | 
| 0.015310628059075577455 + 5.6345843248944433917e-7921j | 1.61e-2041, 1.61e-2041j | 
| 0.080609829434750851415 + 1.5237590690449319147e-7886j | 6.03e-2040, 6.03e-2040j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.5056759078059740722e-145 + 7.5587730687843807403e-5946j | 5.76e-359, 5.46e-1865j | 
| 5.3717204241359384426e-125 - 1.4538394133311552729e-5935j | 2.86e-353, 2.71e-1859j | 
| 7.3540716825606395776e-111 + 2.1266264118125484483e-5928j | 2.22e-349, 2.11e-1855j | 
| 6.8449934830425652157e-120 + 5.6042889660365644403e-5933j | 4.38e-352, 4.15e-1858j | 
| 2.2068121026008013567e-30 + 6.8503234845633229231e-5886j | 4.04e-304, 3.83e-1810j | 
| 0.00034941944914586891749 + 1.0370081203249113604e-5873j | 2.38e-224, 2.26e-1730j | 
| 1.1288964300450726449e-130 + 1.9433994149833630469e-5938j | 9.33e-356, 8.85e-1862j | 
| 2.9182281565955940524e-86 - 6.9363001530012327787e-5916j | 1.55e-342, 1.47e-1848j | 
| 1.7033735288886469821e-92 - 4.6002882027411580259e-5919j | 7.84e-345, 7.43e-1851j | 
| 3.2913137589655169573e-115 - 1.3234478712834913495e-5930j | 3.6e-351, 3.41e-1857j | 
| 1.4262321248726423534e-10 + 4.323536348998392384e-5877j | 9.38e-271, 8.89e-1777j | 
| 3.0158732532891855135e-47 + 1.0080703367452385317e-5895j | 6.49e-324, 6.15e-1830j | 
| 5.7552797805755546225e-18 - 1.0092653092573395607e-5880j | 7.5e-291, 7.11e-1797j | 
| 2.2350842261806015286e-65 - 3.5340938655574042345e-5905j | 6.87e-335, 6.52e-1841j | 
| 0.0017070794503019563474 + 2.6800768534410281331e-5873j | 1.75e-229, 1.66e-1735j | 
| 2.7937681552397369004e-11 - 1.905269552272285411e-5877j | 7.05e-275, 6.68e-1781j | 
| 4.3778384719266048157e-29 - 2.0411189106257283662e-5885j | 1.23e-307, 1.17e-1813j | 
| 3.0525610638571881367e-15 + 2.0957786414056837491e-5879j | 4.01e-286, 3.8e-1792j | 
| 1.4434436054699947549e-72 + 7.0609408724454162832e-5909j | 1.2e-338, 1.13e-1844j | 
| 4.2799913439577375756e-70 - 1.3147648470751278197e-5907j | 1.96e-337, 1.86e-1843j | 
| 6.7653456011266849362e-07 + 3.3559065979494673167e-5875j | 9.26e-263, 8.78e-1769j | 
| 5.133701758321092107e-12 + 8.1689220395378363002e-5878j | 5.2e-280, 4.93e-1786j | 
| 6.8336538885205331815e-10 - 9.5472561052998244905e-5877j | 6.21e-274, 5.89e-1780j | 
| 3.2990035713198711131e-137 - 9.6175584235876932105e-5942j | 1.68e-362, 1.59e-1868j | 
| 1.3495661075318915581e-26 - 1.2889385783279059446e-5884j | 8.74e-308, 8.28e-1814j | 
| 6.8600824230131606444e-51 + 1.2028119355982295252e-5897j | 4.14e-329, 3.92e-1835j | 
| 2.0266142588751690365e-05 - 2.0829560347632003186e-5874j | 3.58e-260, 3.39e-1766j | 
| 1.4277240550632766206e-13 + 1.3825780117670152893e-5878j | 4.08e-287, 3.87e-1793j | 
| 8.6761837577111949304e-53 - 1.2147569015580441263e-5898j | 1.61e-330, 1.53e-1836j | 
| 3.8545185917891099971e-42 - 5.4880596395654623135e-5893j | 7.52e-325, 7.13e-1831j | 
| 4.0372842914035848084e-16 - 7.831677674055307694e-5880j | 9.91e-295, 9.4e-1801j | 
| 0.018699881600476516847 + 1.2164517183043546363e-5872j | 5.54e-238, 5.26e-1744j | 
| 9.7026068610684351631e-55 + 1.1596291626762512688e-5899j | 4.37e-332, 4.14e-1838j | 
| 5.1611765231204496752e-08 + 8.746470134019964706e-5876j | 6.75e-277, 6.4e-1783j | 
| 1.6996560105393604697e-34 + 1.1578821074476084082e-5888j | 3.35e-319, 3.18e-1825j | 
| 8.1641978913662182734e-96 + 9.3895811373498776126e-5921j | 4.43e-352, 4.2e-1858j | 
| 5.5683794352552467864e-05 + 3.6432194668622010478e-5874j | 9.11e-268, 8.63e-1774j | 
| 2.5790051724560874329e-89 + 1.9206767645522555731e-5917j | 1.31e-349, 1.24e-1855j | 
| 2.7398989351688949507e-99 - 1.6039142064432161857e-5922j | 8.14e-354, 7.72e-1860j | 
| 4.356192182778333404e-33 - 9.11528334350065581e-5888j | 1.73e-320, 1.64e-1826j | 
| 4.9889661906333700086e-17 + 2.8488076213347851553e-5880j | 1.26e-302, 1.19e-1808j | 
| 9.2518479937592019278e-78 + 1.5361910271188567266e-5911j | 2.64e-346, 2.5e-1852j | 
| 0.12456272612440738654 + 1.4886419860326822853e-5872j | 1.47e-256, 1.39e-1762j | 
| 0.00079720161120434444078 - 1.6878547259011304309e-5873j | 6.63e-269, 6.29e-1775j | 
| 1.0232225981531551651e-31 + 9.1631035494109337731e-5887j | 2.11e-319, 2e-1825j | 
| 4.0067020941888596164e-63 + 5.1497655583464329659e-5904j | 1.01e-339, 9.58e-1846j | 
| 4.0561127761614166906e-23 + 3.9767123361661736483e-5883j | 2.31e-313, 2.19e-1819j | 
| 1.2994508528211846835e-08 - 4.2931034992505935448e-5876j | 6.59e-290, 6.24e-1796j | 
| 8.8444126797657353034e-13 - 3.407353797039946573e-5878j | 1.92e-297, 1.82e-1803j | 
| 2.1581222659332640506e-14 - 5.4574005829955557297e-5879j | 3.39e-300, 3.21e-1806j | 
| 0.00014387245787908447723 - 6.220420114510215019e-5874j | 7.64e-279, 7.24e-1785j | 
| 6.15958778670716743e-103 + 2.2422005917916314022e-5924j | 3e-357, 2.85e-1863j | 
| 8.770720092189571255e-107 - 2.4936646958383004391e-5926j | 7.39e-359, 7e-1865j | 
| 8.0015786349559762431e-28 + 4.5309932467348203625e-5885j | 1.52e-319, 1.44e-1825j | 
| 0.043225218721939175103 + 1.7963683359345206788e-5872j | 5.51e-269, 5.22e-1775j | 
| 1.6898447135712371607e-45 - 8.5861642100602263114e-5895j | 2.9e-333, 2.75e-1839j | 
| 9.5489888867424738786e-57 - 1.0431891350676885147e-5900j | 3.52e-339, 3.33e-1845j | 
| 5.0305130127466002263e-22 - 1.2502842727240106499e-5882j | 8.18e-317, 7.75e-1823j | 
| 0.0034269039627698540382 - 4.142835416159984018e-5873j | 2.68e-283, 2.54e-1789j | 
| 0.10517704388951716449 - 1.727231838063735152e-5872j | 1.15e-267, 1.09e-1773j | 
| 0.011332700029570666663 - 8.9275617510019623767e-5873j | 2.46e-280, 2.33e-1786j | 
| 4.0368452908115917781e-75 - 3.458979148762145007e-5910j | 1.09e-347, 1.03e-1853j | 
| 1.7143986903188277778e-80 - 6.142537775287913281e-5913j | 2.11e-350, 2e-1856j | 
| 1.0634641608415826128e-67 + 2.2453076623625957627e-5906j | 9.87e-345, 9.36e-1851j | 
| 8.2281042322805679123e-59 + 8.8156968859108089418e-5902j | 2.11e-341, 2e-1847j | 
| 2.23379002898558371e-06 - 6.3243486683138133353e-5875j | 2.53e-302, 2.4e-1808j | 
| 0.082765317210527124153 + 1.8822235384697814258e-5872j | 1.98e-283, 1.87e-1789j | 
| 1.5788313633026742213e-40 + 4.1549323980978622321e-5892j | 4.1e-334, 3.89e-1840j | 
| 0.13594891614112399972 - 1.2006067102063473571e-5872j | 4.36e-284, 4.13e-1790j | 
| 5.8596275848396504419e-39 - 3.057455826404851224e-5891j | 1.38e-333, 1.3e-1839j | 
| 0.029130372609556208154 - 1.5428393026253209154e-5872j | 1.45e-292, 1.37e-1798j | 
| 2.5292455030333235755e-83 + 2.1939450275468449503e-5914j | 5.75e-353, 5.45e-1859j | 
| 3.034394217212381049e-24 - 1.2540009770854088543e-5883j | 4.43e-325, 4.2e-1831j | 
| 6.0654799383403897369e-36 - 1.5830448923303158214e-5889j | 3.18e-332, 3.02e-1838j | 
| 2.1035726984713018331e-25 + 3.9676662677815382681e-5884j | 8.31e-326, 7.88e-1832j | 
| 0.11737282546445471973 - 5.8376076245267997138e-5873j | 2.57e-298, 2.44e-1804j | 
| 5.7954824212928144573e-21 + 3.8703257217319397129e-5882j | 3.89e-324, 3.69e-1830j | 
| 6.1726357187931457515e-61 - 6.9754235161486072931e-5903j | 1.16e-344, 1.1e-1850j | 
| 8.5029667379676576177e-44 + 7.0015990632257724396e-5894j | 7.5e-337, 7.11e-1843j | 
| 1.9270252942227076055e-07 - 1.735666032496994789e-5875j | 2.55e-315, 2.42e-1821j | 
| 6.2090422649884935811e-20 - 1.1745944621142237179e-5881j | 2.17e-324, 2.05e-1830j | 
| 0.1345775890310127766 + 8.9068632922845709977e-5873j | 6.03e-308, 5.72e-1814j | 
| 6.1926043544451243117e-19 + 3.4852750309086762703e-5881j | 7.89e-324, 7.48e-1830j | 
| 0.061329940416851063884 - 1.9143134758863277056e-5872j | 5.13e-310, 4.86e-1816j | 
| 3.0745521496453378473e-09 + 2.0519036936426276005e-5876j | 2.94e-318, 2.78e-1824j | 
| 6.9374181402553023536e-06 + 1.1621125090334769292e-5874j | 4.26e-316, 4.04e-1822j | 
| 1.9755874010507180295e-37 + 2.2062751794750351698e-5890j | 1.2e-334, 1.13e-1840j | 
| 0.0064415803668463168723 + 6.2053557782315461133e-5873j | 1.97e-315, 1.87e-1821j | 
| 4.8170061574407692547e-49 - 1.1291581762342885128e-5896j | 1.23e-340, 1.17e-1846j | 
| 0.038688267022238328637 - 8.8734261771013918725e-5874j | 1.03e-316, 9.73e-1823j | 
| 0.084237085517039163165 + 3.0579511917344838242e-5873j | 3.32e-316, 3.14e-1822j | 
All rules of Laguerre type can be downloaded here packed into a single file.