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) | 
|---|---|
| 163.70576817691822711 + 6.1386029628459942449e-1153j | 1.73e-494, 1.73e-494j | 
| 137.25171168108557505 + 3.0892742062690209984e-1149j | 1.08e-491, 1.08e-491j | 
| 127.25983333016726591 - 1.3654859253033425211e-1145j | 9.71e-491, 9.71e-491j | 
| 118.39856736337667253 - 7.8917759310545334801e-1146j | 5.98e-490, 5.98e-490j | 
| 148.92604333292058754 + 3.5062094971803502531e-1153j | 6.14e-493, 6.14e-493j | 
| 50.995703650155781653 - 5.0670160916925887153e-1150j | 3.98e-487, 3.98e-487j | 
| 37.06803774572865041 - 1.263090043886397305e-1161j | 7.48e-488, 7.48e-488j | 
| 19.489990377765696814 + 6.7724064105054836743e-1178j | 4.1e-490, 4.1e-490j | 
| 110.37992111230039823 + 1.9034231081887141706e-1176j | 2.86e-489, 2.86e-489j | 
| 31.161378362991358447 - 1.5601006032747019095e-1197j | 2.01e-488, 2.01e-488j | 
| 3.0116676633841944792 + 5.0882292184351071281e-1225j | 6.71e-500, 6.71e-500j | 
| 23.54719157727562468 - 8.6255506429823088308e-1224j | 2.11e-489, 2.11e-489j | 
| 78.420304195311031422 - 6.8188828131398008907e-1256j | 2.41e-487, 2.41e-487j | 
| 11.238002918682145245 + 7.0919307582551686255e-1284j | 2.46e-493, 2.46e-493j | 
| 28.454858638018066749 - 2.9272654242753351805e-1293j | 1.06e-488, 1.06e-488j | 
| 7.1571780963097337607 - 8.1839787688450324027e-1318j | 2.33e-495, 2.33e-495j | 
| 12.829387593764969814 + 4.0090132237167521822e-1317j | 1.51e-492, 1.51e-492j | 
| 63.574542760882187436 - 3.9778162524460217322e-1345j | 5.51e-487, 5.51e-487j | 
| 17.837562636834985847 - 1.8856056129729730063e-1373j | 1.53e-490, 1.53e-490j | 
| 40.275540566246339918 - 6.1068290456888737068e-1382j | 1.29e-487, 1.29e-487j | 
| 5.6761128976338315004 + 6.742783333398822254e-1412j | 2.08e-496, 2.08e-496j | 
| 25.913465774183642815 - 3.5375250456172193637e-1403j | 4.44e-489, 4.44e-489j | 
| 68.24483059235169895 - 7.79784834796540668e-1418j | 4.59e-487, 4.59e-487j | 
| 6.2899450829374791969 + 2.3435016617406795345e-1442j | 8.03e-496, 8.03e-496j | 
| 96.230339419030212565 - 1.0185233564558802305e-1433j | 3e-488, 3e-488j | 
| 43.660528364198898309 - 6.4095071565870961182e-1450j | 2.04e-487, 2.04e-487j | 
| 2.2942803602790417198 + 2.2265606249617365384e-1481j | 5.56e-501, 5.56e-501j | 
| 14.501292642300796639 + 5.8825433616601017452e-1471j | 8.2e-492, 8.2e-492j | 
| 16.199176121951090198 - 3.9530650853249191915e-1470j | 4.12e-491, 4.12e-491j | 
| 89.900896917568547007 + 3.6320299010798431926e-1466j | 6.79e-488, 6.79e-488j | 
| 0.20592891009617054562 - 3.6688880615207330766e-1500j | 1.82e-507, 1.82e-507j | 
| 21.386110825520344838 - 1.1254498925445468574e-1479j | 9.17e-490, 9.17e-490j | 
| 1.6909753443312066252 + 7.6856324963929879127e-1504j | 6.42e-502, 6.42e-502j | 
| 34.031588713616204177 + 1.3340923024613685302e-1489j | 4.07e-488, 4.07e-488j | 
| 54.965902411554794749 - 1.2170451999513991452e-1522j | 4.8e-487, 4.8e-487j | 
| 4.7497053381688388761 - 2.1046866266485652591e-1561j | 1.28e-497, 1.28e-497j | 
| 73.185248195531981902 + 4.2777816135338648522e-1553j | 3.46e-487, 3.46e-487j | 
| 0.71223966644492667954 + 7.0471186957932754515e-1597j | 1.32e-504, 1.32e-504j | 
| 3.8343455071274751198 - 1.1124227726400573326e-1589j | 9.43e-499, 9.43e-499j | 
| 47.230836315705455068 - 6.8014908021487290933e-1578j | 2.98e-487, 2.98e-487j | 
| 0.077311092319026922809 + 7.3537340898288988886e-1626j | 8.15e-509, 8.15e-509j | 
| 83.979850448354222371 - 6.6780723713946877618e-1603j | 1.46e-487, 1.46e-487j | 
| 1.2627083649697538623 - 4.2070267894456461795e-1636j | 1.26e-502, 1.26e-502j | 
| 1.0480692470897750704 + 1.3066021305260680838e-1637j | 3.42e-503, 3.42e-503j | 
| 59.153969191215018806 - 1.3046361374285325409e-1620j | 5.35e-487, 5.35e-487j | 
| 103.02924029726093676 - 9.7759635687955215711e-1633j | 1.01e-488, 1.01e-488j | 
| 9.7500082014447782041 - 4.0038599952388212968e-1643j | 4.44e-494, 4.44e-494j | 
| 8.3792074722440796233 + 7.7437563654290820878e-1644j | 9.46e-495, 9.46e-495j | 
| 0.41577455678347908331 - 1.0629908010940917454e-1655j | 4.63e-506, 4.63e-506j | 
| 0.013993151608491287585 + 1.3498263003541168921e-1658j | 2.78e-510, 2.78e-510j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.4017324683555955182e-70 - 5.4573718740922536598e-1200j | 2.28e-201, 1.23e-443j | 
| 2.6418350688181568533e-59 - 6.4745262525611603263e-1194j | 7.07e-198, 3.82e-440j | 
| 5.0493862420051695185e-55 + 1.3921043504150924553e-1191j | 1.21e-196, 6.55e-439j | 
| 3.1962743656115911182e-51 - 1.7009302900589939108e-1189j | 1.04e-195, 5.64e-438j | 
| 2.6972755836060365329e-64 + 1.2936989542750153387e-1196j | 3.59e-200, 1.94e-442j | 
| 2.7546360236634632435e-22 + 8.2647084655984011445e-1172j | 3.84e-182, 2.08e-424j | 
| 2.4880164406372039337e-16 + 4.5422365884009424841e-1169j | 1.5e-176, 8.08e-419j | 
| 6.0059116385011782623e-09 - 5.4644416566953804799e-1164j | 8.02e-166, 4.33e-408j | 
| 8.8496474305136278939e-48 + 1.3688143172988819832e-1187j | 2.25e-195, 1.21e-437j | 
| 8.1678401427208447668e-14 + 1.4620146719227497686e-1167j | 5.25e-174, 2.84e-416j | 
| 0.037946710574501194734 + 4.1904691273401902187e-1159j | 6.17e-137, 3.33e-379j | 
| 1.3485151202415199026e-10 - 2.4172282649841298803e-1165j | 8.68e-170, 4.69e-412j | 
| 4.7231152015128144725e-34 - 9.4931197729397129335e-1180j | 3.22e-191, 1.74e-433j | 
| 2.0301548062261779375e-05 + 8.0850278257392617503e-1162j | 6.26e-160, 3.38e-402j | 
| 1.1515641488310859342e-12 - 8.134510744803513341e-1167j | 5.81e-173, 3.14e-415j | 
| 0.00086739686872126741123 - 3.7718867974008076292e-1160j | 2.29e-154, 1.24e-396j | 
| 4.3888913701685287183e-06 - 2.823339005463075043e-1162j | 3.97e-162, 2.14e-404j | 
| 1.1148197033764159348e-27 + 8.0945801356646511834e-1176j | 3.55e-188, 1.92e-430j | 
| 2.8766817770597186468e-08 + 1.7136513477092194125e-1163j | 3.24e-167, 1.75e-409j | 
| 1.0627166575100129801e-17 - 8.0069352726128339991e-1170j | 6.79e-180, 3.67e-422j | 
| 0.0028194445128817453605 - 1.6260800510395789078e-1159j | 3.14e-155, 1.7e-397j | 
| 1.3685566852727193418e-11 + 4.4666461520493558428e-1166j | 1.89e-172, 1.02e-414j | 
| 1.1041716014314185619e-29 - 4.2723133234772530076e-1177j | 8.93e-190, 4.82e-432j | 
| 0.0010635373387643168713 + 1.179400612173915811e-1159j | 4.56e-158, 2.46e-400j | 
| 1.0570687505314647365e-41 + 3.5351864803603724559e-1184j | 1.23e-196, 6.63e-439j | 
| 3.7982333443310320204e-19 + 1.4852578198835447648e-1170j | 3.77e-182, 2.04e-424j | 
| 0.066809863287511658808 - 8.8147540803742802922e-1159j | 1.18e-152, 6.39e-395j | 
| 8.5532660864474749499e-07 + 1.0665822183616797057e-1162j | 2.46e-168, 1.33e-410j | 
| 1.5492563728841409643e-07 - 4.3216084769673202412e-1163j | 2.28e-169, 1.23e-411j | 
| 5.5339372134973658037e-39 - 1.261894588347910098e-1182j | 8.04e-196, 4.35e-438j | 
| 0.1360472062779194013 - 3.5317672801478402532e-1158j | 5.2e-157, 2.81e-399j | 
| 1.0512854559652728326e-09 + 1.252226028740074539e-1164j | 8.73e-173, 4.72e-415j | 
| 0.099266148010673567615 + 2.3766107739136719457e-1158j | 2.79e-157, 1.51e-399j | 
| 4.9032687356049822367e-15 - 2.5903807747077867244e-1168j | 5.93e-179, 3.21e-421j | 
| 5.4820117207343384633e-24 + 3.4966032490216602154e-1173j | 1.62e-187, 8.74e-430j | 
| 0.0082203529384452967418 + 1.6762176113843734169e-1159j | 4.6e-166, 2.49e-408j | 
| 8.3597355027278314604e-32 + 2.1172810795583673355e-1178j | 1.63e-192, 8.78e-435j | 
| 0.16465605891904628589 - 5.0960069287141273929e-1158j | 2e-163, 1.08e-405j | 
| 0.018862211276938871648 - 2.3791808720914890111e-1159j | 9.71e-167, 5.25e-409j | 
| 1.1274365726685604354e-20 - 3.4111057605733140055e-1171j | 2.71e-185, 1.46e-427j | 
| 0.086022600100256537913 + 2.5732971763605647101e-1158j | 8.97e-166, 4.85e-408j | 
| 1.9338720463278079807e-36 + 3.741882715975679137e-1181j | 1.9e-195, 1.03e-437j | 
| 0.07649704949647876306 - 7.0008161541603026517e-1158j | 1.16e-167, 6.26e-410j | 
| 0.097383096962462791115 + 8.1912917304067118686e-1158j | 1.45e-167, 7.83e-410j | 
| 8.7780113362935483711e-26 - 1.5363083011519939603e-1174j | 2.53e-189, 1.37e-431j | 
| 1.2696978784773014477e-44 - 7.94366840869815474e-1186j | 5.26e-200, 2.84e-442j | 
| 8.3465842727526516726e-05 - 2.5179845629907908474e-1161j | 9.12e-176, 4.93e-418j | 
| 0.00029985550793031562233 + 8.8285314187240976934e-1161j | 3.66e-175, 1.98e-417j | 
| 0.16736130720941750945 + 4.0378767131111211705e-1158j | 1.75e-172, 9.47e-415j | 
| 0.035767958209854236891 - 9.4228727575852744901e-1159j | 5.73e-173, 3.06e-415j | 
All rules of Laguerre type can be downloaded here packed into a single file.