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) | 
|---|---|
| 368.02139370614123338 + 1.3399384439522265752e-5367j | 1.4e-2011, 1.4e-2011j | 
| 332.73039471550149556 - 2.4914578516957696814e-5363j | 1.48e-2007, 1.48e-2007j | 
| 266.04805709107733237 + 1.5384257390733148103e-5354j | 1.01e-2000, 1.01e-2000j | 
| 306.82804934776995841 - 5.6131600573270164605e-5361j | 9.44e-2005, 9.44e-2005j | 
| 43.898349917098887271 - 4.7943081509610225145e-5358j | 1.32e-2001, 1.32e-2001j | 
| 31.74493629695640098 + 1.2407494908093297027e-5361j | 2.61e-2005, 2.61e-2005j | 
| 248.87443684286296479 + 7.0771997226946731912e-5350j | 3.09e-1999, 3.09e-1999j | 
| 102.08549417141104045 - 1.0796250144980337582e-5354j | 3.53e-1994, 3.53e-1994j | 
| 98.431551082220233016 - 3.4528500015425136155e-5354j | 2.34e-1994, 2.34e-1994j | 
| 233.17211387374430034 - 1.4754561033459398251e-5353j | 5.55e-1998, 5.55e-1998j | 
| 29.928895866487845859 - 1.0228761844497166785e-5379j | 5.39e-2006, 5.39e-2006j | 
| 144.06369579902989734 - 6.7341520973909001555e-5366j | 1.41e-1993, 1.41e-1993j | 
| 55.75346873008113415 - 8.8092732519386516359e-5382j | 5.23e-1999, 5.23e-1999j | 
| 48.445441058402326338 - 2.3043565897371976451e-5383j | 1.56e-2000, 1.56e-2000j | 
| 113.60114484283663225 + 2.1834997585429021846e-5375j | 9.89e-1994, 9.89e-1994j | 
| 50.815560836038692604 + 4.0700659457796639239e-5397j | 5.72e-2000, 5.72e-2000j | 
| 5.2147039940429966677 - 3.7712949410832727126e-5420j | 2.58e-2023, 2.58e-2023j | 
| 18.815567884684410666 + 3.7217692676619617228e-5408j | 2.82e-2011, 2.82e-2011j | 
| 121.76551363694349543 - 4.2442663458450542999e-5389j | 1.47e-1993, 1.47e-1993j | 
| 87.99227415038638543 - 3.2394869178671110843e-5410j | 5.14e-1995, 5.14e-1995j | 
| 17.450426975921772865 + 6.8460180266673163484e-5470j | 3.88e-2012, 3.88e-2012j | 
| 158.89552124275437425 - 3.7938848645694150084e-5450j | 6.63e-1994, 6.63e-1994j | 
| 109.66784206403990625 - 2.5141937249902905847e-5528j | 7.86e-1994, 7.86e-1994j | 
| 153.81946799188936022 - 1.1815263882184104907e-5635j | 8.71e-1994, 8.71e-1994j | 
| 41.719694276660180377 + 1.0589267979152686068e-5708j | 3.54e-2002, 3.54e-2002j | 
| 218.66638302612213076 - 6.4461922659475037996e-5723j | 6.63e-1997, 6.63e-1997j | 
| 66.448180228272545166 + 2.6973983145640535721e-5761j | 2.89e-1997, 2.89e-1997j | 
| 295.5767744642202234 - 1.2419745839963968194e-5762j | 1.37e-2003, 1.37e-2003j | 
| 78.296438179734755939 + 9.163140310670917353e-5776j | 7.33e-1996, 7.33e-1996j | 
| 94.866077229824814764 + 7.1414190442742457043e-5805j | 1.58e-1994, 1.58e-1994j | 
| 5.9464303742889674156 + 2.5430248799911589437e-5877j | 2.72e-2022, 2.72e-2022j | 
| 186.50977936897377291 + 1.2614710123227461729e-5847j | 5.67e-1995, 5.67e-1995j | 
| 348.43925059044690165 + 1.8555644675345865659e-5880j | 2.54e-2009, 2.54e-2009j | 
| 319.0919751920595672 + 8.3231693272494346915e-5874j | 4.75e-2006, 4.75e-2006j | 
| 11.431949157349067924 - 8.2710695929977963946e-5889j | 1.53e-2016, 1.53e-2016j | 
| 37.548235980099749858 - 6.7216448595422067613e-5876j | 2.21e-2003, 2.21e-2003j | 
| 58.323198515970269692 + 1.6040106321402338403e-5870j | 1.51e-1998, 1.51e-1998j | 
| 23.240978631727038733 - 1.8971327646710966569e-5881j | 6.58e-2009, 6.58e-2009j | 
| 81.448716315798993547 + 6.8186413502093103374e-5868j | 1.51e-1995, 1.51e-1995j | 
| 285.11938041681413137 - 5.4286373894682001196e-5865j | 1.54e-2002, 1.54e-2002j | 
| 117.63274036204532176 + 1.0107776394016267923e-5875j | 1.22e-1993, 1.22e-1993j | 
| 14.882675490688022563 - 2.1582009339545704299e-5913j | 7.72e-2014, 7.72e-2014j | 
| 33.619752561658378805 + 6.165844002809906379e-5905j | 1.17e-2004, 1.17e-2004j | 
| 26.470787333452511218 + 5.7411185425405309484e-5906j | 2.16e-2007, 2.16e-2007j | 
| 21.710405999505009366 - 3.6932833709343768171e-5909j | 1.1e-2009, 1.1e-2009j | 
| 53.251254215180285809 + 1.0496329477085711429e-5897j | 1.69e-1999, 1.69e-1999j | 
| 60.961487102396631489 + 1.714339225125507311e-5896j | 4.52e-1998, 4.52e-1998j | 
| 84.680107191568753781 - 7.6325193697734580708e-5892j | 2.91e-1995, 2.91e-1995j | 
| 16.13959074542356911 - 2.7849566689400432859e-5952j | 5.62e-2013, 5.62e-2013j | 
| 4.5366202969211279833 + 2.3587685552129681264e-5963j | 2.81e-2024, 2.81e-2024j | 
| 148.87730354315478442 + 2.7213949834660475063e-5930j | 1.25e-1993, 1.25e-1993j | 
| 35.553968182952369422 - 5.0404629432395511829e-5991j | 5.28e-2004, 5.28e-2004j | 
| 46.139991372977434473 + 2.0874829034143093792e-5988j | 4.78e-2001, 4.78e-2001j | 
| 2.5201455313799015446 + 2.7233205963262362008e-6015j | 7.67e-2028, 7.67e-2028j | 
| 39.60323945286084896 - 7.2959539417184210366e-5990j | 9.38e-2003, 9.38e-2003j | 
| 130.34718353122869293 + 2.3610991779367136553e-5979j | 1.73e-1993, 1.73e-1993j | 
| 275.3106949997419915 - 8.8765816719566018772e-6031j | 1.32e-2001, 1.32e-2001j | 
| 75.221698594347568811 + 1.3802292220505124721e-6097j | 3.51e-1996, 3.51e-1996j | 
| 10.387330968530879812 + 3.6047774322184800682e-6157j | 1.87e-2017, 1.87e-2017j | 
| 0.51762149542578636892 - 4.404099901788298868e-6179j | 1.17e-2035, 1.17e-2035j | 
| 3.3602344920506509742 + 7.5571276802263373256e-6168j | 3.68e-2026, 3.68e-2026j | 
| 1.3759584110051114869 + 8.7638104580114416179e-6175j | 1.45e-2031, 1.45e-2031j | 
| 169.4731764650285905 + 1.1013893735956634982e-6201j | 2.95e-1994, 2.95e-1994j | 
| 211.80048080871768778 + 8.6639265704850475984e-6312j | 1.87e-1996, 1.87e-1996j | 
| 7.5668222840579235025 + 5.1153550568835745558e-6407j | 2.62e-2020, 2.62e-2020j | 
| 2.1397777692600917252 + 6.5438517000759679596e-6426j | 6.02e-2029, 6.02e-2029j | 
| 134.80296648404751651 - 1.193090461383781929e-6408j | 1.67e-1993, 1.67e-1993j | 
| 198.74956180318004022 - 1.1799611509959797721e-6523j | 1.2e-1995, 1.2e-1995j | 
| 164.11129241905771702 + 5.7106741084140002676e-6646j | 4.57e-1994, 4.57e-1994j | 
| 2.8955058203298725737 + 1.5750867494675975308e-6782j | 5.55e-2027, 5.55e-2027j | 
| 8.4549535346584709744 - 5.7095868881628256862e-6771j | 2.46e-2019, 2.46e-2019j | 
| 192.53461743520956741 - 5.7606434072712007302e-6750j | 2.66e-1995, 2.66e-1995j | 
| 12.529182300167124996 - 2.8336231197279963516e-6837j | 1.21e-2015, 1.21e-2015j | 
| 6.7306138855145305084 + 1.275610640029467802e-6842j | 2.83e-2021, 2.83e-2021j | 
| 174.98821599462526404 + 1.6969027867943099502e-6814j | 1.8e-1994, 1.8e-1994j | 
| 1.7457611011583465757 + 4.1793084358661264086e-6897j | 2.85e-2030, 2.85e-2030j | 
| 257.25542262853102402 - 1.2823991482563340655e-6859j | 6.35e-2000, 6.35e-2000j | 
| 24.827607664299658864 + 2.326868031945255272e-6912j | 3.64e-2008, 3.64e-2008j | 
| 225.78306232800576447 - 2.1906500081125846695e-6897j | 2.13e-1997, 2.13e-1997j | 
| 105.83013419843603985 + 1.56959689416822752e-6928j | 5.34e-1994, 5.34e-1994j | 
| 69.29894744509227467 + 1.6081697421955713029e-6956j | 6.77e-1997, 6.77e-1997j | 
| 0.17356981352010466552 - 7.3711255789639596037e-7072j | 1.41e-2038, 1.41e-2038j | 
| 13.679319203168437951 + 4.3110869587803014611e-7028j | 1.03e-2014, 1.03e-2014j | 
| 126.00255546383657051 + 7.837551944075434972e-7035j | 1.56e-1993, 1.56e-1993j | 
| 139.37375146823016589 - 1.387273810150275509e-7180j | 1.56e-1993, 1.56e-1993j | 
| 20.235418642542285638 - 2.0182435542600467095e-7279j | 1.87e-2010, 1.87e-2010j | 
| 0.3225476896193923118 - 2.1136691300739828231e-7311j | 4.34e-2037, 4.34e-2037j | 
| 28.171035766415474068 + 1.559095620763582234e-7268j | 1.13e-2006, 1.13e-2006j | 
| 205.16686866657885049 + 5.0484330280186971548e-7291j | 4.88e-1996, 4.88e-1996j | 
| 180.66419939541166249 - 3.3743922078995667942e-7335j | 1.05e-1994, 1.05e-1994j | 
| 1.0453734740216174746 + 2.7532034343296303036e-7383j | 6.38e-2033, 6.38e-2033j | 
| 0.070574161579490260737 + 8.4454307102893237401e-7391j | 4.77e-2040, 4.77e-2040j | 
| 72.223006322747197478 - 9.0339497166077244723e-7347j | 1.61e-1996, 1.61e-1996j | 
| 63.669430446074142144 + 1.6023887756248477403e-7348j | 1.15e-1997, 1.15e-1997j | 
| 0.75872984805940752766 - 6.775148384747450067e-7385j | 2.82e-2034, 2.82e-2034j | 
| 0.013388516862177638679 + 1.9229455522777144043e-7391j | 1.1e-2041, 1.1e-2041j | 
| 91.386976530913163674 + 1.419358558317548464e-7345j | 9.01e-1995, 9.01e-1995j | 
| 9.3950709123011331292 - 5.7812573287687779722e-7369j | 2.2e-2018, 2.2e-2018j | 
| 3.9153653213677857323 + 7.0805899088432351343e-7376j | 2.89e-2025, 2.89e-2025j | 
| 240.85905419201167856 + 6.7915763684225997411e-7344j | 1.41e-1998, 1.41e-1998j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.406052339049856202e-159 + 1.9423865758666226914e-5450j | 1.84e-356, 5.13e-1858j | 
| 4.5575263498349326302e-144 + 9.221256024870281126e-5443j | 2.85e-352, 7.94e-1854j | 
| 2.581324145836720263e-115 + 3.9322865634163860513e-5428j | 1.19e-343, 3.31e-1845j | 
| 6.5301539566234967489e-133 + 4.3082782938606283694e-5437j | 2.27e-349, 6.33e-1851j | 
| 1.9036364914706511366e-19 + 4.8783701536747878215e-5377j | 1.37e-271, 3.83e-1773j | 
| 3.0159395165597512511e-14 + 2.4735284680876980897e-5375j | 1.74e-258, 4.85e-1760j | 
| 6.7384562904929371652e-108 + 2.3948221350595955277e-5424j | 2.63e-341, 7.33e-1843j | 
| 1.7096484486934041238e-44 - 1.472681058951010525e-5391j | 5.53e-307, 1.54e-1808j | 
| 6.4439081216154131392e-43 + 1.013866650887568934e-5390j | 1.44e-305, 4e-1807j | 
| 4.0890905397248403508e-101 + 7.0092411020157975882e-5421j | 7.8e-340, 2.17e-1841j | 
| 1.7952898337518266625e-13 - 4.8493361417180296292e-5375j | 3.67e-260, 1.02e-1761j | 
| 1.2903763504902368334e-62 - 4.626854205221114395e-5401j | 5.62e-322, 1.56e-1823j | 
| 1.5512850219325251442e-24 + 1.5643478523209641006e-5380j | 3.81e-285, 1.06e-1786j | 
| 2.1339757329043212374e-21 - 1.8397418045042913897e-5378j | 1.26e-279, 3.5e-1781j | 
| 1.835478160297077343e-49 + 3.4802235395729950713e-5394j | 7.38e-313, 2.06e-1814j | 
| 2.0501769908086264722e-22 + 3.5042737000862923844e-5379j | 7.77e-282, 2.16e-1783j | 
| 0.0038335172018214711402 - 5.2488258420673676542e-5369j | 1.74e-204, 4.86e-1706j | 
| 9.3815582270903083647e-09 + 2.0128499189855256404e-5372j | 2.57e-249, 7.16e-1751j | 
| 5.4895894142571572433e-53 + 4.8976748621689348522e-5396j | 4.89e-316, 1.36e-1817j | 
| 2.0459342689967893006e-38 - 2.6020884879426674961e-5388j | 4.05e-304, 1.13e-1805j | 
| 3.5302618682111706132e-08 - 4.0954129965306518353e-5372j | 9.83e-249, 2.74e-1750j | 
| 5.0574142522892319446e-69 + 2.201453096227155313e-5404j | 5.22e-328, 1.46e-1829j | 
| 9.1466117639170687786e-48 - 2.7324890502202363319e-5393j | 4.71e-312, 1.31e-1813j | 
| 7.8837681718440028421e-67 - 3.0086341870567500117e-5403j | 1.63e-326, 4.53e-1828j | 
| 1.6341257866619218602e-18 - 1.3286484118020342327e-5376j | 4.16e-280, 1.16e-1781j | 
| 7.5639340872504797723e-95 + 1.1308875074467332444e-5417j | 3.78e-342, 1.05e-1843j | 
| 3.9023947550833279623e-29 + 3.2491775443913346241e-5383j | 1.53e-297, 4.25e-1799j | 
| 4.6460389859630130269e-128 - 1.266650499697542694e-5434j | 5.4e-355, 1.5e-1856j | 
| 3.0867641351576418297e-34 + 4.7988559473426940207e-5386j | 2.05e-303, 5.71e-1805j | 
| 2.2231518263738635415e-41 - 6.6999297915248031641e-5390j | 1.79e-308, 4.99e-1810j | 
| 0.0019824696439828132375 + 3.0543590700499024409e-5369j | 2.04e-230, 5.67e-1732j | 
| 5.9312115926196577927e-81 - 1.5360312901203319537e-5410j | 9e-337, 2.51e-1838j | 
| 8.1141603083058452011e-151 - 3.452827021668412573e-5446j | 6.8e-364, 1.89e-1865j | 
| 3.3868491970952965633e-138 - 8.8610475566601620644e-5440j | 5.51e-359, 1.54e-1860j | 
| 1.161203564170820546e-05 + 1.0550914652171003191e-5370j | 9.79e-255, 2.73e-1756j | 
| 9.9845888188551417839e-17 - 4.3096867475987788219e-5376j | 8.42e-285, 2.35e-1786j | 
| 1.2194654796855414581e-25 - 3.3892502402651178422e-5381j | 7.21e-297, 2.01e-1798j | 
| 1.2568507835030939945e-10 - 2.0934354553945367129e-5373j | 3.69e-274, 1.03e-1775j | 
| 1.3529309439279695852e-35 - 8.724719351952212761e-5387j | 5.35e-307, 1.49e-1808j | 
| 1.5104627136958827722e-123 + 2.5090890577854366264e-5432j | 8.78e-355, 2.45e-1856j | 
| 3.3387943927085130544e-51 - 4.2297859939202377049e-5395j | 8.18e-319, 2.28e-1820j | 
| 4.2312486936664363752e-07 - 1.5932485122971965202e-5371j | 4.04e-266, 1.12e-1767j | 
| 4.7740542234990019229e-15 - 2.7061553534038083729e-5375j | 7.4e-284, 2.06e-1785j | 
| 5.3336210890970335578e-12 - 4.0378210061073502061e-5374j | 3.71e-279, 1.03e-1780j | 
| 5.5996867541035171208e-10 + 4.5560588393493492594e-5373j | 8.15e-275, 2.27e-1776j | 
| 1.8439905110283566382e-23 - 7.2826242421198880557e-5380j | 1.77e-295, 4.94e-1797j | 
| 8.9484935501647836408e-27 + 7.307919987981767107e-5382j | 4.23e-300, 1.18e-1801j | 
| 5.4782625080076959185e-37 + 1.5335612775792325391e-5387j | 1.13e-309, 3.14e-1811j | 
| 1.2565123636643959489e-07 + 8.1605433709500390899e-5372j | 7.29e-272, 2.03e-1773j | 
| 0.0069664291420119271405 + 9.1507637191777428879e-5369j | 1.99e-249, 5.55e-1751j | 
| 1.0753863782200853372e-64 + 3.8503253730387332505e-5402j | 3.24e-331, 9.02e-1833j | 
| 7.116691257470288118e-16 + 1.0032112505171677198e-5375j | 3.25e-287, 9.05e-1789j | 
| 2.0812929678340325319e-20 + 1.2502369971669193769e-5377j | 4.81e-293, 1.34e-1794j | 
| 0.02923122690703418372 + 6.4341681454812179151e-5368j | 1.39e-244, 3.86e-1746j | 
| 1.3175409997718752571e-17 + 2.0888953257236828566e-5376j | 1.02e-289, 2.83e-1791j | 
| 1.0823046388209918172e-56 + 5.6391948897639695363e-5398j | 2.87e-327, 7.98e-1829j | 
| 2.5868646835817681716e-119 - 3.5985822435424363019e-5430j | 3.71e-358, 1.03e-1859j | 
| 6.5162981868254691202e-33 - 2.5560900134430160219e-5385j | 4.82e-309, 1.34e-1810j | 
| 3.1387562812912153359e-05 - 1.9106972144975430559e-5370j | 3.18e-274, 8.84e-1776j | 
| 0.12998889432286201331 + 1.8215094875262369015e-5368j | 4.04e-245, 1.13e-1746j | 
| 0.01790134551153616554 + 3.0523767526728253393e-5368j | 2.89e-257, 8.05e-1759j | 
| 0.088774445995174652988 - 3.4879976183618219526e-5368j | 4.04e-245, 1.13e-1746j | 
| 1.3617967424550996276e-73 + 9.5605625741728329587e-5407j | 3.6e-339, 1e-1840j | 
| 7.0036481353860657282e-92 - 3.7473187061860327413e-5416j | 6.88e-349, 1.92e-1850j | 
| 0.00044602950921323478321 + 1.0370838510525804693e-5369j | 4.33e-274, 1.21e-1775j | 
| 0.046507054124931837119 - 5.630733191334089272e-5368j | 5.44e-257, 1.52e-1758j | 
| 1.2889737976598949399e-58 - 5.5867912671195648124e-5399j | 6.86e-330, 1.91e-1831j | 
| 3.0511485830381359226e-86 - 2.9338287938176513088e-5413j | 7.69e-347, 2.14e-1848j | 
| 2.8225326717213665907e-71 - 1.5039039610223117308e-5405j | 3.12e-338, 8.7e-1840j | 
| 0.022681486988663882273 - 5.240817016758622799e-5368j | 6.25e-268, 1.74e-1769j | 
| 0.00019456116262722350918 - 5.9781455715210408262e-5370j | 8.09e-282, 2.25e-1783j | 
| 1.4787191739363849883e-83 + 7.0368107227734053114e-5412j | 1.15e-345, 3.21e-1847j | 
| 4.0669641190566978116e-06 - 5.7249547209895171781e-5371j | 5.12e-288, 1.43e-1789j | 
| 0.00096725549113961199785 - 1.7833123406214341571e-5369j | 1.39e-280, 3.87e-1782j | 
| 5.6404943676590340691e-76 - 5.6356378716347043714e-5408j | 1.02e-341, 2.84e-1843j | 
| 0.06735943474043770045 + 4.3671344350573962859e-5368j | 3.94e-271, 1.1e-1772j | 
| 1.6172910062259215475e-111 - 3.4000455364028495755e-5426j | 3.94e-359, 1.1e-1860j | 
| 2.6645944330369358265e-11 + 9.3620574010332188943e-5374j | 3.15e-299, 8.77e-1801j | 
| 6.3670501685267164502e-98 - 3.0127874402337465658e-5419j | 4.4e-353, 1.23e-1854j | 
| 4.1427020826290326773e-46 + 2.0504238921860489467e-5392j | 4.2e-326, 1.17e-1827j | 
| 2.3137992174920924858e-30 - 6.635896561454656322e-5384j | 1.14e-317, 3.17e-1819j | 
| 0.1058900797103540377 + 8.7827933176544053974e-5369j | 3.03e-281, 8.45e-1783j | 
| 1.3483726272647520449e-06 + 3.0493916962748999477e-5371j | 2.01e-296, 5.59e-1798j | 
| 8.1333463225162977939e-55 - 5.3936548387085448675e-5397j | 2.84e-331, 7.93e-1833j | 
| 1.3686626932231148726e-60 + 5.2340096719830117681e-5400j | 1.63e-334, 4.54e-1836j | 
| 2.3574459580023577153e-09 - 9.6833157322598759812e-5373j | 2.27e-302, 6.32e-1804j | 
| 0.12459128762677064884 - 1.3399926930261846436e-5368j | 1.08e-288, 3e-1790j | 
| 1.0075346308548152747e-12 + 1.625268131972211712e-5374j | 1.81e-305, 5.03e-1807j | 
| 5.1476266671766416279e-89 + 1.1063626904858244328e-5414j | 3.75e-350, 1.04e-1851j | 
| 1.9902235989591088883e-78 + 3.0681929221513301544e-5409j | 1.27e-344, 3.55e-1846j | 
| 0.10864323078760581841 + 2.8513136300513176258e-5368j | 4.19e-296, 1.17e-1797j | 
| 0.074603363769606954691 - 4.6145193426231595788e-5369j | 6.78e-296, 1.89e-1797j | 
| 1.27469629395539178e-31 + 1.3208713841391675653e-5384j | 7.28e-321, 2.03e-1822j | 
| 6.1230416778082518247e-28 - 1.5553289601443041688e-5382j | 8.43e-319, 2.35e-1820j | 
| 0.12362892947324847509 - 2.3178331639778487768e-5368j | 1.22e-299, 3.41e-1801j | 
| 0.033905885701921298044 + 1.3425655480956044317e-5369j | 5.51e-300, 1.53e-1801j | 
| 7.0350483846034928213e-40 + 4.2558135843210006522e-5389j | 1.81e-325, 5.05e-1827j | 
| 8.0319357003930568393e-05 + 3.4043546492015355545e-5370j | 9.81e-306, 2.72e-1807j | 
| 0.011773741360266434569 - 1.6431988903637298318e-5368j | 1.2e-303, 3.3e-1805j | 
| 1.9537407224153696481e-104 - 1.4059926250747345968e-5422j | 9.1e-359, 2.54e-1860j | 
All rules of Laguerre type can be downloaded here packed into a single file.