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) | 
|---|---|
| 333.66125081806382836 - 6.0945199079626640565e-6039j | 1.91e-2010, 1.91e-2010j | 
| 318.18544034466022578 - 3.8693408410813390777e-6036j | 1.15e-2008, 1.15e-2008j | 
| 352.96404195460949004 + 2.8221686375906832476e-6047j | 1.09e-2012, 1.09e-2012j | 
| 304.75635187079270179 - 1.5291026310513220009e-6033j | 3.05e-2007, 3.05e-2007j | 
| 168.97384514503259002 - 2.0122290789190432214e-6054j | 2.26e-1996, 2.26e-1996j | 
| 13.03271658400975535 - 4.131565418882597789e-6126j | 5.12e-2016, 5.12e-2016j | 
| 147.75080131651276562 - 1.4414042283306995759e-6104j | 1.1e-1995, 1.1e-1995j | 
| 96.290301737019362203 - 9.2662316302440461517e-6176j | 3.97e-1996, 3.97e-1996j | 
| 138.00218239947583917 + 2.315097694025244599e-6248j | 1.74e-1995, 1.74e-1995j | 
| 25.952233173339263399 - 5.3207652917215496969e-6321j | 1.17e-2008, 1.17e-2008j | 
| 69.830323442000379406 - 2.7779789372090953937e-6312j | 2.37e-1998, 2.37e-1998j | 
| 37.234343600305512891 - 1.1337868716319798641e-6343j | 1.19e-2004, 1.19e-2004j | 
| 213.10042553045396429 + 2.9204886091967067162e-6375j | 6.85e-1999, 6.85e-1999j | 
| 55.885417406791551964 + 3.6580650595003693987e-6418j | 2.25e-2000, 2.25e-2000j | 
| 292.68662884075102202 - 3.855298380952156278e-6429j | 5.94e-2006, 5.94e-2006j | 
| 235.74042237740172657 - 2.5589874756763536405e-6475j | 1.29e-2000, 1.29e-2000j | 
| 75.943961223775541697 + 8.2762232668029983729e-6502j | 1.11e-1997, 1.11e-1997j | 
| 199.40824472044961506 - 1.302126349881618775e-6518j | 5.94e-1998, 5.94e-1998j | 
| 33.226260123401965912 - 5.2111230820443083501e-6553j | 6.63e-2006, 6.63e-2006j | 
| 79.121592880672001815 - 2.3963718321749084052e-6543j | 2.17e-1997, 2.17e-1997j | 
| 48.384727982577228719 + 1.8235599111929936405e-6563j | 8.06e-2002, 8.06e-2002j | 
| 180.5668453102191441 - 3.5696583593769280123e-6565j | 6.67e-1997, 6.67e-1997j | 
| 61.240739593101939502 - 2.5236412805107460381e-6598j | 1.56e-1999, 1.56e-1999j | 
| 220.34141401145439366 - 4.0539037160959286289e-6594j | 2.08e-1999, 2.08e-1999j | 
| 174.68118461445530969 - 9.6920095745920670364e-6608j | 1.23e-1996, 1.23e-1996j | 
| 46.022118176301439717 + 8.9265695761935778178e-6629j | 2.37e-2002, 2.37e-2002j | 
| 43.726669960667922282 + 8.5973544973545617977e-6629j | 6.91e-2003, 6.91e-2003j | 
| 64.028407951548747647 + 1.2684672157161938856e-6624j | 3.73e-1999, 3.73e-1999j | 
| 85.727128731083265217 + 1.3421659489500673841e-6621j | 7.89e-1997, 7.89e-1997j | 
| 142.80975448887621355 + 2.2600154214046112373e-6622j | 1.44e-1995, 1.44e-1995j | 
| 163.43527521314440099 + 9.1981693151338803285e-6652j | 3.71e-1996, 3.71e-1996j | 
| 35.198803145831572298 - 1.8988816159802893266e-6694j | 2.66e-2005, 2.66e-2005j | 
| 5.3514926872733469054 + 3.1619970353405638143e-6714j | 8.11e-2024, 8.11e-2024j | 
| 19.634665990318761633 - 1.8696634548895122798e-6701j | 9.79e-2012, 9.79e-2012j | 
| 58.526824249779044699 - 2.5384698571346361264e-6685j | 5.55e-2000, 5.55e-2000j | 
| 133.32281646758055944 - 8.1962044811984906083e-6688j | 1.88e-1995, 1.88e-1995j | 
| 8.7556402755219753057 - 1.456701380623982116e-6756j | 7.92e-2020, 7.92e-2020j | 
| 82.3820384254804059 + 7.5429901533675876397e-6731j | 4.22e-1997, 4.22e-1997j | 
| 206.12981926826499919 + 4.9964845344356091836e-6803j | 2e-1998, 2e-1998j | 
| 10.784134929976865891 - 5.0387861267756402885e-6902j | 6.6e-2018, 6.6e-2018j | 
| 18.200676252374821016 - 3.8528688591150974447e-6896j | 1.38e-2012, 1.38e-2012j | 
| 89.158805909280311027 - 2.5718388154841626266e-6903j | 1.38e-1996, 1.38e-1996j | 
| 29.467333571905964156 + 3.2305721338531613074e-6992j | 2.94e-2007, 2.94e-2007j | 
| 3.9750174695909860102 - 3.4176699032918727935e-7030j | 7.32e-2026, 7.32e-2026j | 
| 271.33682825931776579 - 1.7796111365415095453e-7137j | 7.96e-2004, 7.96e-2004j | 
| 243.96538208632418234 + 1.1630192422655389324e-7292j | 2.61e-2001, 2.61e-2001j | 
| 50.81546332312872651 + 4.8798391720920398402e-7362j | 2.65e-2001, 2.65e-2001j | 
| 261.69716887547733718 - 6.9152737726165809789e-7416j | 6.94e-2003, 6.94e-2003j | 
| 281.61883362916459247 + 1.9080638927192617959e-7474j | 8.1e-2005, 8.1e-2005j | 
| 107.69300772114227456 - 2.1792414205189360811e-7527j | 9.93e-1996, 9.93e-1996j | 
| 1.948038458417908552 - 5.1482994957461646376e-7594j | 7.46e-2030, 7.46e-2030j | 
| 14.240314837033824304 + 5.7988883192356171192e-7579j | 3.94e-2015, 3.94e-2015j | 
| 53.315337751661903099 - 6.0242898946869562812e-7560j | 7.3e-2001, 7.3e-2001j | 
| 92.679132504639947148 + 3.1132153735250716473e-7588j | 2.38e-1996, 2.38e-1996j | 
| 7.8232631436879996743 - 6.4343576114741500617e-7650j | 7.96e-2021, 7.96e-2021j | 
| 27.679618094949116983 + 4.8322009592985693134e-7636j | 5.95e-2008, 5.95e-2008j | 
| 227.87801129130552305 + 1.4825372073611925266e-7623j | 5.44e-2000, 5.44e-2000j | 
| 99.99464894374368896 + 1.0101065540961215276e-7632j | 5.48e-1996, 5.48e-1996j | 
| 21.126325047279132443 - 7.4020186183314595542e-7654j | 6.4e-2011, 6.4e-2011j | 
| 31.315997731748091876 + 1.365820420309558316e-7650j | 1.41e-2006, 1.41e-2006j | 
| 111.69252411492975502 - 3.5501126022527974531e-7638j | 1.26e-1995, 1.26e-1995j | 
| 1.6293059199236552525 + 8.5281742019249232548e-7702j | 9.99e-2031, 9.99e-2031j | 
| 39.333634374144967378 - 3.6592604503930259533e-7676j | 4.66e-2004, 4.66e-2004j | 
| 128.76682243835169656 + 1.1629428305340241684e-7665j | 2.13e-1995, 2.13e-1995j | 
| 1.3137924939849685003 - 1.537957494247567715e-7748j | 7.89e-2032, 7.89e-2032j | 
| 2.3432094002181817945 - 1.0411081774450169553e-7744j | 6.35e-2029, 6.35e-2029j | 
| 41.497466265533012324 + 5.7491480673565906106e-7711j | 1.84e-2003, 1.84e-2003j | 
| 186.64155252779222406 - 2.3321348742555770858e-7710j | 3.26e-1997, 3.26e-1997j | 
| 4.6359332858372246184 + 8.0410527206087447928e-7786j | 7.39e-2025, 7.39e-2025j | 
| 22.676131840131440405 + 5.1269321599524164967e-7771j | 3.57e-2010, 3.57e-2010j | 
| 0.28988861380303484764 + 5.7596197669383965309e-7799j | 2.11e-2037, 2.11e-2037j | 
| 0.056897625001077184683 + 1.9499981415387157155e-7800j | 2.72e-2040, 2.72e-2040j | 
| 124.32975136638467191 + 8.6726975040307737007e-7754j | 1.99e-1995, 1.99e-1995j | 
| 152.83108334437056839 - 3.776885340095900625e-7799j | 8.48e-1996, 8.48e-1996j | 
| 2.8232520098685572178 + 5.5997190995730921407e-7875j | 6.39e-2028, 6.39e-2028j | 
| 120.00749762668925206 + 3.7444641814643365948e-7841j | 1.78e-1995, 1.78e-1995j | 
| 6.1212813136103333861 - 7.0685004737940198954e-7900j | 8.48e-2023, 8.48e-2023j | 
| 16.823902700822268187 + 7.2412551049672749501e-7891j | 2.08e-2013, 2.08e-2013j | 
| 1 + 1.2450937318568754934e-7910j | 3.36e-2033, 3.36e-2033j | 
| 9.7425175451747513675 - 1.9809397853061712942e-7896j | 7.43e-2019, 7.43e-2019j | 
| 72.847415546791729062 + 4.8658106731597141176e-7872j | 5.25e-1998, 5.25e-1998j | 
| 0.47994174263413944232 + 1.4382889880019851307e-7946j | 6.51e-2036, 6.51e-2036j | 
| 11.880766717394457692 + 1.8594355926523539824e-7928j | 6.07e-2017, 6.07e-2017j | 
| 115.79626274975633684 + 1.9133177739014872182e-7905j | 1.61e-1995, 1.61e-1995j | 
| 3.369839231310923141 + 5.9420431664595586772e-7984j | 6.32e-2027, 6.32e-2027j | 
| 252.59840508637707816 + 1.6036545441120044091e-7951j | 4.53e-2002, 4.53e-2002j | 
| 0.71798092110102556981 - 1.4755928025093517988e-8020j | 1.5e-2034, 1.5e-2034j | 
| 0.14903758114399597611 - 2.8899810974523452562e-8025j | 7.68e-2039, 7.68e-2039j | 
| 66.891141251866302602 + 2.6664958470605337399e-7980j | 9.43e-1999, 9.43e-1999j | 
| 158.05692092491798312 + 3.5467311931677511564e-7983j | 6.16e-1996, 6.16e-1996j | 
| 24.284590789856582663 + 2.8318724307614109448e-8021j | 2.13e-2009, 2.13e-2009j | 
| 15.503916920715091853 + 3.7047248259345579622e-8027j | 2.83e-2014, 2.83e-2014j | 
| 6.9451893027064972208 + 3.0569345652431279979e-8033j | 8.4e-2022, 8.4e-2022j | 
| 192.91742389361318574 + 5.3694149490104304543e-8006j | 1.41e-1997, 1.41e-1997j | 
| 103.79466439910615715 - 2.0404236502197390107e-8021j | 7.83e-1996, 7.83e-1996j | 
| 0.010091997876027062321 - 1.2634345264500539082e-8079j | 5.11e-2042, 5.11e-2042j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.093492847506383005e-144 + 3.734776583339467308e-6165j | 1.3e-365, 5.77e-1866j | 
| 9.3092158390131932796e-138 - 9.2231305650692337919e-6162j | 7.21e-364, 3.21e-1864j | 
| 1.1626997401735446449e-152 - 2.3216728496001996436e-6169j | 1.13e-368, 5.02e-1869j | 
| 5.6085404525480820719e-132 + 8.2998727874393762366e-6159j | 1.47e-362, 6.54e-1863j | 
| 2.3197431917562037923e-73 + 2.3663640533903396487e-6127j | 1.29e-341, 5.75e-1842j | 
| 2.5807200549642710863e-06 + 1.7631997178955155135e-6094j | 2.27e-243, 1.01e-1743j | 
| 3.4076152779616838278e-64 + 9.8599707897967638321e-6124j | 9.81e-337, 4.37e-1837j | 
| 5.5567466251912401459e-42 + 5.9976195007711033625e-6113j | 9.44e-322, 4.21e-1822j | 
| 5.5262793460213475611e-60 + 9.3119366630038747548e-6122j | 2.02e-334, 9e-1835j | 
| 9.0965595695901205897e-12 - 1.6581314498138698333e-6097j | 7.82e-274, 3.48e-1774j | 
| 1.4027622382713359655e-30 + 3.1631536807632570693e-6107j | 1.53e-310, 6.82e-1811j | 
| 1.3955031414494965943e-16 - 4.7414012413568028072e-6100j | 9.44e-288, 4.21e-1788j | 
| 2.0092710228687824588e-92 + 2.36422524687809266e-6138j | 2.59e-352, 1.15e-1852j | 
| 1.3969190879249711086e-24 - 3.5392490220745004287e-6104j | 1.28e-303, 5.72e-1804j | 
| 8.900730591825401115e-127 - 3.8150822139374993314e-6156j | 4.57e-364, 2.04e-1864j | 
| 3.3444530792701616371e-102 - 1.7851280586195860305e-6143j | 1.37e-356, 6.09e-1857j | 
| 3.2692246507982993897e-33 + 1.4825411380356875319e-6108j | 6.77e-316, 3.01e-1816j | 
| 1.6514507027799922422e-86 + 3.3643598301895111076e-6135j | 2.5e-350, 1.11e-1850j | 
| 7.2128704623765925204e-15 - 3.7481968955996780367e-6099j | 1.25e-289, 5.57e-1790j | 
| 1.3983472080130249829e-34 - 3.0328933026714716832e-6109j | 1.05e-317, 4.66e-1818j | 
| 2.324654897370908852e-21 + 1.5863606448446054643e-6102j | 2.28e-302, 1.02e-1802j | 
| 2.2771536554107379486e-78 - 1.1667091472446030222e-6130j | 4.77e-347, 2.12e-1847j | 
| 6.9648031106645811618e-27 - 2.3716404510956799538e-6105j | 1.12e-310, 4.97e-1811j | 
| 1.4970771436085638559e-95 - 5.3257699988072075485e-6140j | 7.37e-355, 3.28e-1855j | 
| 7.9426448206034381207e-76 + 4.6023804018717439637e-6129j | 9.99e-346, 4.45e-1846j | 
| 2.3987982022563172187e-20 - 5.2801655266507012641e-6102j | 3.37e-303, 1.5e-1803j | 
| 2.3135297307469963657e-19 + 1.7026314781793495055e-6101j | 4.66e-302, 2.08e-1802j | 
| 4.4038300996032032223e-28 + 5.8283404499546654608e-6106j | 2.66e-313, 1.18e-1813j | 
| 1.9912734241774654106e-37 - 1.1294703646971132566e-6110j | 5.81e-324, 2.59e-1824j | 
| 4.6381314146932828806e-62 - 9.7063100764607810851e-6123j | 4.72e-341, 2.1e-1841j | 
| 5.7269671698925937074e-71 - 1.3769969011263352288e-6126j | 1.79e-345, 7.99e-1846j | 
| 1.0357006698877388567e-15 + 1.3529051860558946746e-6099j | 7.36e-300, 3.28e-1800j | 
| 0.0035212419569808485828 + 1.936922568648853891e-6092j | 9.21e-256, 4.1e-1756j | 
| 4.3445225935908168447e-09 - 4.7323972613244399317e-6096j | 3.3e-288, 1.47e-1788j | 
| 1.0229302609153953671e-25 + 9.320139403489451544e-6105j | 2.65e-312, 1.18e-1812j | 
| 5.7941229463781295856e-58 - 8.6196660153025157975e-6121j | 6.69e-340, 2.98e-1840j | 
| 0.00015120273409695469427 + 2.1202908250589088343e-6093j | 1.12e-271, 4.99e-1772j | 
| 5.5051867331781917381e-36 + 5.9691952284017436735e-6110j | 1.66e-323, 7.41e-1824j | 
| 2.0615386102502316675e-89 - 9.3588516889940224492e-6137j | 2.73e-355, 1.22e-1855j | 
| 2.2157380254321907691e-05 + 6.3711357858818950831e-6094j | 1.38e-278, 6.17e-1779j | 
| 1.7511297107806467454e-08 + 1.0247929747355093647e-6095j | 3.94e-290, 1.75e-1790j | 
| 6.6047794024706239859e-39 + 2.0531431642674109858e-6111j | 4.26e-327, 1.9e-1827j | 
| 2.898101767401331902e-13 - 2.6378160674244125758e-6098j | 1.62e-300, 7.21e-1801j | 
| 0.011893093396638204291 + 5.625066589673614214e-6092j | 8.67e-261, 3.86e-1761j | 
| 1.4366393277923081821e-117 - 2.0333535302161005747e-6151j | 1.49e-369, 6.62e-1870j | 
| 9.3868565766461306996e-106 + 2.5542586372879673586e-6145j | 9.53e-365, 4.24e-1865j | 
| 2.1036079643213464126e-22 - 4.6150369695411910945e-6103j | 1.18e-314, 5.24e-1815j | 
| 2.0768319070649827571e-113 + 2.821119798396291575e-6149j | 2.92e-368, 1.3e-1868j | 
| 5.2685944216310118288e-122 + 1.0690003146817575569e-6153j | 1.67e-371, 7.43e-1872j | 
| 6.6980205293325366208e-47 - 2.1762002226879344533e-6115j | 3.35e-339, 1.49e-1839j | 
| 0.049573032079819262181 + 5.3202618504967025754e-6091j | 7.82e-263, 3.49e-1763j | 
| 8.079160977360587869e-07 - 8.9711153432160327976e-6095j | 7.47e-297, 3.33e-1797j | 
| 1.7757663553553239355e-23 + 1.2994280757056760797e-6103j | 3.51e-318, 1.57e-1818j | 
| 2.0047899922450844779e-40 - 3.5828481287949230723e-6112j | 3.08e-333, 1.37e-1833j | 
| 0.00036236233493937702995 - 3.7632125990246778384e-6093j | 9.43e-290, 4.2e-1790j | 
| 1.6740850238026849951e-12 + 6.7061390777979977459e-6098j | 3.83e-309, 1.71e-1809j | 
| 8.3174192869640983132e-99 + 1.0512579517905481791e-6141j | 3.87e-363, 1.72e-1863j | 
| 1.4031688845120195775e-43 - 9.623840697378159456e-6114j | 1.29e-336, 5.73e-1837j | 
| 1.0162093223937540229e-09 + 2.1301176981515950646e-6096j | 2.14e-307, 9.55e-1808j | 
| 4.7167536747195886432e-14 + 1.0086824874130979304e-6098j | 4.94e-312, 2.2e-1812j | 
| 1.259291328290182401e-48 + 3.0627362680731978717e-6116j | 3.52e-341, 1.57e-1841j | 
| 0.060264945019803488574 - 6.4441670970189743114e-6091j | 4.09e-278, 1.82e-1778j | 
| 1.7631528107812000421e-17 + 1.6127058370166645492e-6100j | 1.05e-316, 4.67e-1817j | 
| 5.3714133098371522503e-56 + 7.6591954120709730729e-6120j | 9.15e-346, 4.08e-1846j | 
| 0.086297129530515762453 + 5.6948032642954165226e-6091j | 2.89e-280, 1.29e-1780j | 
| 0.042384890977753585414 - 3.1812818112911424323e-6091j | 1.62e-286, 7.21e-1787j | 
| 2.0873057094830645707e-18 - 5.3213772740206304606e-6101j | 3.74e-318, 1.67e-1818j | 
| 5.4089110528944174259e-81 + 3.5879136206126357727e-6132j | 3.83e-358, 1.71e-1858j | 
| 0.0066749132408668347596 - 3.2951727025863939801e-6092j | 2.52e-297, 1.12e-1797j | 
| 2.2401444108838964709e-10 - 9.3410831866633516287e-6097j | 3.68e-313, 1.64e-1813j | 
| 0.12386350001577696527 + 2.5104698370261745748e-6091j | 2.23e-286, 9.95e-1787j | 
| 0.064751331754484562339 + 1.2089685490981245867e-6091j | 1.81e-286, 8.08e-1787j | 
| 4.4223231191901569211e-54 - 6.5159310525019458883e-6119j | 2.54e-345, 1.13e-1845j | 
| 2.179094082948165871e-66 - 9.9665777419059938683e-6125j | 7.08e-352, 3.16e-1852j | 
| 0.0306199433829511066 + 1.7362914867542850167e-6091j | 1.35e-298, 6.02e-1799j | 
| 3.2466883843901747854e-52 + 5.3006038694612295538e-6118j | 8.45e-345, 3.76e-1845j | 
| 0.0017495976327627965048 - 1.1337941730242260102e-6092j | 5.44e-307, 2.42e-1807j | 
| 6.6567423117128594625e-08 - 2.1641504802654163312e-6095j | 1.93e-315, 8.61e-1816j | 
| 0.1107936031465151633 - 4.5190932616072385706e-6091j | 4.89e-298, 2.18e-1798j | 
| 5.9566738356281782343e-05 - 1.1735738089326346818e-6093j | 3.88e-311, 1.73e-1811j | 
| 7.0469557015309039646e-32 - 6.9769279670363827191e-6108j | 3.83e-333, 1.7e-1833j | 
| 0.13267617823792117487 - 3.0637062534677104295e-6091j | 3.03e-300, 1.35e-1800j | 
| 7.7822791873482660263e-06 - 3.3881658444837961515e-6094j | 2.02e-313, 9.02e-1814j | 
| 2.1335059407085264138e-50 - 4.1212815067498206177e-6117j | 4.67e-344, 2.08e-1844j | 
| 0.019832530137005591885 - 9.7425573604256595227e-6092j | 4.5e-308, 2.01e-1808j | 
| 1.7583173953117447142e-109 - 3.0051834321252332759e-6147j | 4.34e-374, 1.93e-1874j | 
| 0.12733910851890682465 + 3.6835320442553239758e-6091j | 4.81e-306, 2.14e-1806j | 
| 0.10015257965440892289 - 1.9193690234863496897e-6091j | 7.94e-306, 3.54e-1806j | 
| 2.5825717810212627226e-29 - 1.3824722709991371786e-6106j | 2.03e-332, 9.05e-1833j | 
| 1.2053112440071520816e-68 + 1.0539242848182459004e-6125j | 4.61e-354, 2.05e-1854j | 
| 4.6519975032137009843e-11 + 3.989014054057755687e-6097j | 1.86e-322, 8.31e-1823j | 
| 2.3872929185769764512e-07 + 4.4593472993319535028e-6095j | 4.73e-320, 2.11e-1820j | 
| 0.0008197076448341079995 + 6.5747976101543648713e-6093j | 3.21e-317, 1.43e-1817j | 
| 1.0517410767141120256e-83 - 1.1225260542356422143e-6133j | 6.8e-362, 3.03e-1862j | 
| 3.220078474476975283e-45 + 1.4791819383005130507e-6114j | 4.5e-342, 2e-1842j | 
| 0.026185885118673368295 - 4.0748760188045766386e-6092j | 2.77e-317, 1.23e-1817j | 
All rules of Laguerre type can be downloaded here packed into a single file.