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) | 
|---|---|
| 229.37975999167980877 - 7.0363165297469796957e-2688j | 2.47e-1000, 2.47e-1000j | 
| 177.91142310137134854 + 5.1769739918482841864e-2677j | 6.63e-995, 6.63e-995j | 
| 199.51067505150558787 + 1.5945809526310966484e-2682j | 4.8e-997, 4.8e-997j | 
| 188.10073370832400599 - 3.7280422767642047061e-2680j | 7.06e-996, 7.06e-996j | 
| 212.74785810808487887 + 3.0431675536297333402e-2687j | 1.85e-998, 1.85e-998j | 
| 168.6266890606012042 - 3.2222824794292283723e-2680j | 4.68e-994, 4.68e-994j | 
| 16.949707438726540375 - 4.6132658093828306784e-2693j | 6.14e-998, 6.14e-998j | 
| 49.589110552562201265 + 3.8165129632774647702e-2685j | 4.96e-991, 4.96e-991j | 
| 40.841407423488200999 - 9.031825649191798057e-2687j | 3.96e-992, 3.96e-992j | 
| 11.460694742226287749 - 4.1663780138596678275e-2695j | 1.8e-1000, 1.8e-1000j | 
| 52.742819284505171157 - 5.0318954528532646601e-2684j | 9.45e-991, 9.45e-991j | 
| 22.261507129525551511 + 1.3472654850292724004e-2694j | 4.3e-996, 4.3e-996j | 
| 46.556586489609501411 - 9.2505190711913353188e-2687j | 2.45e-991, 2.45e-991j | 
| 56.021531048701858107 + 1.1026928325361886961e-2691j | 1.72e-990, 1.72e-990j | 
| 26.296987546793526075 + 5.6533180782108813216e-2713j | 5.5e-995, 5.5e-995j | 
| 160.0551058584461883 - 3.6905633923197951815e-2714j | 2.74e-993, 2.74e-993j | 
| 15.38779517600537975 + 1.1176878169373696727e-2735j | 1.51e-998, 1.51e-998j | 
| 28.463217934801592255 + 1.8232186224333717165e-2732j | 1.8e-994, 1.8e-994j | 
| 20.39108155446524946 + 3.3575951380387267407e-2734j | 1.06e-996, 1.06e-996j | 
| 35.572723783088370201 + 4.3811753315714032531e-2727j | 6.14e-993, 6.14e-993j | 
| 12.640800844275782659 + 4.5267984125198226339e-2746j | 7.98e-1000, 7.98e-1000j | 
| 4.3554147420486207635 + 5.3616025504798873283e-2753j | 3.7e-1007, 3.7e-1007j | 
| 33.099277189623373976 + 2.161674319940739798e-2734j | 2.07e-993, 2.07e-993j | 
| 6.1034249949475364792 - 1.7637043029798101897e-2758j | 4.71e-1005, 4.71e-1005j | 
| 18.61957622757951676 + 3.3578015721893280005e-2751j | 2.65e-997, 2.65e-997j | 
| 43.64175222724762241 - 2.255088432882457225e-2742j | 1.04e-991, 1.04e-991j | 
| 0.48472377409294771799 - 1.1872888262925172328e-2802j | 6.95e-1016, 6.95e-1016j | 
| 1.0755826213659163932 + 1.5911876182331583519e-2799j | 3.39e-1013, 3.39e-1013j | 
| 7.0858100058588375569 - 1.2864417457160657058e-2788j | 4.62e-1004, 4.62e-1004j | 
| 1.8187841719895005407 + 1.9555683841508886885e-2798j | 3.13e-1011, 3.13e-1011j | 
| 3.5964257710407220812 + 1.45134391984003161e-2793j | 3.58e-1008, 3.58e-1008j | 
| 152.06945309179653898 - 1.5967323900168318088e-2775j | 1.28e-992, 1.28e-992j | 
| 1.4134030591065167922 + 1.8192855423670347924e-2820j | 3.48e-1012, 3.48e-1012j | 
| 0.2635603197181409102 + 6.5246230127272105768e-2826j | 2.81e-1017, 2.81e-1017j | 
| 30.730090338438538028 + 6.9629105186115851069e-2798j | 6.3e-994, 6.3e-994j | 
| 9.2239175104104764419 - 3.3315733577074952607e-2826j | 3.87e-1002, 3.87e-1002j | 
| 38.152623023357874924 + 1.7154741340562523858e-2818j | 1.64e-992, 1.64e-992j | 
| 2.9173862528484075389 - 1.2422880974234296906e-2861j | 3.61e-1009, 3.61e-1009j | 
| 10.338202765353457662 + 4.2304004173125606451e-2850j | 2.68e-1001, 2.68e-1001j | 
| 24.230054045227535091 + 1.2399723290622333245e-2845j | 1.62e-995, 1.62e-995j | 
| 5.1919284893683769564 - 7.6794961046373729245e-2873j | 4.71e-1006, 4.71e-1006j | 
| 0.10774371486484895417 + 4.5927900355103961845e-2889j | 6.95e-1019, 6.95e-1019j | 
| 0.020491481265066764251 - 2.1515545240439938765e-2890j | 1.82e-1020, 1.82e-1020j | 
| 0.76224149512852183977 + 7.0393135168749088118e-2881j | 1.76e-1014, 1.76e-1014j | 
| 13.946232520424064726 + 2.2837227873669811835e-2860j | 3.6e-999, 3.6e-999j | 
| 8.1311912519434640889 + 2.7626269149837555156e-2868j | 4.4e-1003, 4.4e-1003j | 
| 2.3222348970001147674 - 4.7108115968030864517e-2878j | 3.18e-1010, 3.18e-1010j | 
| 92.004866323727173933 + 4.5523741746711725725e-2908j | 1.34e-989, 1.34e-989j | 
| 96.851640177470888192 + 2.5240727126634029552e-2964j | 1.12e-989, 1.12e-989j | 
| 87.351620070673042631 + 5.7534912255292215806e-2995j | 1.64e-989, 1.64e-989j | 
| 78.583908402769968915 - 8.3732309522581941067e-3031j | 1.45e-989, 1.45e-989j | 
| 118.44880166768740083 + 2.4789585093831248985e-3070j | 1.89e-990, 1.89e-990j | 
| 130.83587058933634283 - 9.2252199862621341332e-3104j | 3.54e-991, 3.54e-991j | 
| 59.429422803482331832 - 1.7660665352311588274e-3129j | 2.96e-990, 2.96e-990j | 
| 137.5188891496904619 - 1.1514220618551843724e-3184j | 1.37e-991, 1.37e-991j | 
| 70.476266721573463299 + 1.9323163002043023369e-3253j | 9.23e-990, 9.23e-990j | 
| 101.90419870875355172 - 1.4766864616861324134e-3306j | 7.7e-990, 7.7e-990j | 
| 74.451471071377018746 + 6.0343154579600923214e-3345j | 1.23e-989, 1.23e-989j | 
| 66.651507211410134672 - 2.9453118578561599054e-3396j | 7.18e-990, 7.18e-990j | 
| 112.68513435179142039 - 1.5961042345967216442e-3452j | 3.54e-990, 3.54e-990j | 
| 124.49007890809680654 + 5.7701861089102751781e-3500j | 8.29e-991, 8.29e-991j | 
| 62.971072111698920853 + 1.0040188766939254825e-3538j | 4.84e-990, 4.84e-990j | 
| 107.17660543210427099 + 3.1898361818508964586e-3586j | 5.77e-990, 5.77e-990j | 
| 144.5796475926076889 + 1.240501603727663479e-3633j | 4.34e-992, 4.34e-992j | 
| 82.881138572472476721 - 1.3342136414581602315e-3660j | 1.6e-989, 1.6e-989j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 4.7251005352883917028e-99 + 9.0706287081787062238e-2748j | 6.63e-170, 2.32e-918j | 
| 5.2567466659562788435e-77 + 2.2621210903066341273e-2736j | 2.83e-163, 9.93e-912j | 
| 2.750027397291497856e-86 + 3.495798929175575426e-2741j | 1.38e-166, 4.84e-915j | 
| 2.1854747804311454724e-81 - 1.2043929684630501078e-2738j | 4.91e-165, 1.72e-913j | 
| 5.8411655106088585805e-92 - 4.1017399581898050189e-2744j | 8.65e-169, 3.03e-917j | 
| 5.1986194381200498917e-73 - 2.7096986330559560101e-2734j | 5.14e-163, 1.8e-911j | 
| 7.0411579183310818691e-08 - 9.1593429830900096012e-2699j | 5.84e-109, 2.04e-857j | 
| 8.9956750657466134402e-22 - 4.8058532910341557712e-2706j | 8.94e-136, 3.13e-884j | 
| 5.0257600479017923939e-18 + 4.1414402436049478101e-2704j | 1.43e-131, 5e-880j | 
| 1.1984415954177641601e-05 - 3.7498977809942684123e-2697j | 3.07e-102, 1.08e-850j | 
| 3.9933672335364109367e-23 + 8.2253866675322155571e-2707j | 1.1e-137, 3.86e-886j | 
| 4.1223139345404654175e-10 + 3.6444505133466304882e-2700j | 8.15e-119, 2.86e-867j | 
| 1.7945027823654455062e-20 + 1.242097323217788748e-2705j | 7.76e-135, 2.72e-883j | 
| 1.5640088091664716893e-24 + 1.3189716294772629362e-2707j | 8.72e-140, 3.06e-888j | 
| 8.0345017776109242658e-12 + 3.7928548942572162272e-2701j | 1.17e-123, 4.12e-872j | 
| 2.5467685325763356457e-69 + 2.2774437009482644019e-2732j | 2.68e-166, 9.4e-915j | 
| 3.1227044194624458405e-07 + 2.6182649558593490788e-2698j | 3.96e-113, 1.39e-861j | 
| 9.6429421952654575054e-13 - 1.190458282624122968e-2701j | 1.08e-125, 3.79e-874j | 
| 2.5387976779774446333e-09 - 1.1003551583986330837e-2699j | 5.33e-119, 1.87e-867j | 
| 8.9834905069642537533e-16 + 3.6039346336146510491e-2703j | 4.07e-131, 1.43e-879j | 
| 4.0009752067148400246e-06 + 1.8103061306224484971e-2697j | 4.81e-112, 1.69e-860j | 
| 0.01024557337218226972 + 8.357716521302482254e-2696j | 7.38e-96, 2.59e-844j | 
| 1.0213067830390839744e-14 - 1.137315591353042978e-2702j | 9.72e-130, 3.4e-878j | 
| 0.0021186132446627049421 + 3.5114870096502493648e-2696j | 1.46e-102, 5.13e-851j | 
| 1.4108922928075020903e-08 + 3.2888899533887236164e-2699j | 1.47e-118, 5.13e-867j | 
| 3.1809009192203745997e-19 - 1.293310320249690979e-2705j | 6.72e-136, 2.36e-884j | 
| 0.15497449681986441965 + 3.1377270882898870088e-2695j | 1.14e-78, 3.99e-827j | 
| 0.1102628200919632147 + 6.2868914895548873631e-2695j | 1.14e-78, 3.99e-827j | 
| 0.00085001968248154272616 - 2.2932115072898962843e-2696j | 4.83e-106, 1.69e-854j | 
| 0.073660727296987006318 + 4.8593725391572476105e-2695j | 3.75e-87, 1.31e-835j | 
| 0.019729187625732456626 - 1.2961648343017964095e-2695j | 1.51e-96, 5.29e-845j | 
| 6.9979910157806677204e-66 - 1.4314157055877664723e-2730j | 1.53e-169, 5.37e-918j | 
| 0.088026766961560005523 - 6.3740769397764668611e-2695j | 8e-86, 2.8e-834j | 
| 0.14546210626484970761 - 1.8793150669089829471e-2695j | 7.22e-83, 2.53e-831j | 
| 1.0450897919724109453e-13 + 3.6851011850562102849e-2702j | 1.1e-128, 3.86e-877j | 
| 0.00010933994324886029797 - 1.0015971953222866832e-2696j | 1.88e-111, 6.6e-860j | 
| 7.0978749143942923107e-17 - 1.3122284032363651769e-2703j | 2.99e-133, 1.05e-881j | 
| 0.034499227002747620972 + 2.0227916263944312458e-2695j | 2e-98, 7.01e-847j | 
| 3.6149116023370629113e-05 + 6.4597104577986580672e-2697j | 5.98e-113, 2.1e-861j | 
| 6.0515045437544061097e-11 - 1.186910356806255692e-2700j | 6.81e-125, 2.39e-873j | 
| 0.0048633558412722886374 - 5.4083686538080031901e-2696j | 5.43e-106, 1.9e-854j | 
| 0.10937725144137083279 + 9.3174780663098411133e-2696j | 1.86e-90, 6.53e-839j | 
| 0.051497905395686214632 - 2.6307411822739404451e-2696j | 8.66e-91, 3.03e-839j | 
| 0.1399231555154224585 - 4.7576109462603297312e-2695j | 6.6e-92, 2.31e-840j | 
| 1.2070715239963188363e-06 - 7.2617407113861090869e-2698j | 6.01e-117, 2.11e-865j | 
| 0.0003155660837453798069 + 1.5113776776199744857e-2696j | 5.66e-111, 1.98e-859j | 
| 0.054030146025912089893 - 3.1759171208591509101e-2695j | 1.93e-100, 6.77e-849j | 
| 5.2397936437546259283e-40 - 8.6859229675008952261e-2717j | 3.8e-161, 1.33e-909j | 
| 4.2879681755719427761e-42 + 6.3082895331130057288e-2718j | 1.05e-162, 3.67e-911j | 
| 5.2802627935023801249e-38 + 1.0972817471438818056e-2715j | 3.39e-160, 1.19e-908j | 
| 3.1339032083602019564e-34 + 1.3944595673007711129e-2713j | 3.44e-158, 1.2e-906j | 
| 2.1334032250235909569e-51 + 6.2823954053319564356e-2723j | 3.08e-169, 1.08e-917j | 
| 9.8214687984856637619e-57 + 9.2638215655521941676e-2726j | 8.26e-172, 2.89e-920j | 
| 5.382151403459808947e-26 - 1.1432783294904204026e-2708j | 1.29e-152, 4.53e-901j | 
| 1.2968962491451564813e-59 - 2.8018840513056861683e-2727j | 4.57e-173, 1.6e-921j | 
| 9.6269650631219329651e-31 + 1.3847702149471022696e-2711j | 9.23e-158, 3.23e-906j | 
| 2.8590119920275369562e-44 - 4.1707420333656556465e-2719j | 2.56e-166, 8.97e-915j | 
| 1.8787707500578079148e-32 - 1.4259787745197692738e-2712j | 4.39e-159, 1.54e-907j | 
| 4.2446121494001360912e-29 - 1.2955888391925557787e-2710j | 4.96e-157, 1.74e-905j | 
| 6.4890651166118241609e-49 - 1.3291350240968330045e-2721j | 1.2e-169, 4.2e-918j | 
| 5.3240181949890552815e-54 - 2.59758386384379903e-2724j | 2.84e-172, 9.96e-921j | 
| 1.6200848829103846023e-27 + 1.19573896704409689e-2709j | 2.78e-157, 9.74e-906j | 
| 1.5317319242345564238e-46 + 2.4894104645179517518e-2720j | 1.43e-168, 5.01e-917j | 
| 1.1779595977955805055e-62 + 7.0396046433665937922e-2729j | 4.98e-177, 1.74e-925j | 
| 4.4349354821483516679e-36 - 1.2815015512235137977e-2714j | 5.43e-163, 1.9e-911j | 
All rules of Laguerre type can be downloaded here packed into a single file.