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) | 
|---|---|
| 312.5674746556303004 + 1.0219109344935802549e-2224j | 1.76e-994, 1.76e-994j | 
| 244.3014723788428665 - 1.9449409622090327551e-2208j | 4.33e-987, 4.33e-987j | 
| 294.04359950857223574 + 1.2213371839066258971e-2220j | 2.41e-992, 2.41e-992j | 
| 254.85278480547719455 + 3.071808042125930528e-2214j | 3.98e-988, 3.98e-988j | 
| 38.840431038104252536 + 9.3936354268943574458e-2229j | 3.82e-986, 3.82e-986j | 
| 45.970660584860335775 - 6.0536481171086863418e-2227j | 1.36e-984, 1.36e-984j | 
| 32.381471979648074579 - 1.8758645235064643967e-2230j | 6.25e-988, 6.25e-988j | 
| 41.141061877242234303 - 1.2572746029673098743e-2228j | 1.24e-985, 1.24e-985j | 
| 266.37699260205010253 + 6.9429621952561891851e-2221j | 2.58e-989, 2.58e-989j | 
| 19.771101072560761462 - 1.5937546262339611026e-2249j | 8.03e-993, 8.03e-993j | 
| 48.502153026302151516 + 2.3436226576887694209e-2239j | 4.23e-984, 4.23e-984j | 
| 62.384111323243398762 - 5.660157299095875387e-2235j | 4.97e-982, 4.97e-982j | 
| 193.32887445766756221 + 9.5673033102542285679e-2243j | 1.03e-982, 1.03e-982j | 
| 225.35221337125389565 + 1.1693949148906642524e-2273j | 2.66e-985, 2.66e-985j | 
| 81.971714096508624759 - 6.2568832095264954685e-2286j | 2.72e-980, 2.72e-980j | 
| 30.372667298354653323 + 5.2023196783139702869e-2319j | 1.4e-988, 1.4e-988j | 
| 89.288220700070844299 + 4.982580990597339345e-2308j | 6.66e-980, 6.66e-980j | 
| 186.22111051896206484 + 9.7317048048382535349e-2351j | 3.35e-982, 3.35e-982j | 
| 51.113247611204043633 - 1.6917147534923948459e-2397j | 1.24e-983, 1.24e-983j | 
| 105.24448377561885577 + 8.0907649793664788811e-2393j | 1.74e-979, 1.74e-979j | 
| 166.54298881683293837 + 4.1887223622341941718e-2426j | 5.4e-981, 5.4e-981j | 
| 7.321131661604233581 + 7.4444901738303614128e-2469j | 8.79e-1002, 8.79e-1002j | 
| 128.00920735339391052 - 4.846507480594629969e-2445j | 1.53e-979, 1.53e-979j | 
| 78.467592341406895195 - 8.8853483333508653655e-2462j | 1.6e-980, 1.6e-980j | 
| 65.416901780793544046 - 5.7838539330297037279e-2463j | 1.15e-981, 1.15e-981j | 
| 53.805399973044486202 - 1.4057377073448677658e-2463j | 3.4e-983, 3.4e-983j | 
| 8.2846530508659625008 - 2.3626318889514645812e-2482j | 8.42e-1001, 8.42e-1001j | 
| 16.771911403277297627 - 1.4322603004997191833e-2475j | 2.11e-994, 2.11e-994j | 
| 14.031403298758529642 - 2.4508986802098273198e-2477j | 3.89e-996, 3.89e-996j | 
| 43.5173961806031644 - 1.3109906408649711115e-2465j | 4.18e-985, 4.18e-985j | 
| 24.765766260946661533 - 5.532390583988293987e-2472j | 1.28e-990, 1.28e-990j | 
| 179.40319995405523332 + 2.2098061000142387069e-2459j | 9.14e-982, 9.14e-982j | 
| 4.7958511363464692852 - 1.437295089354901477e-2501j | 8.15e-1005, 8.15e-1005j | 
| 132.9909549176058727 + 4.8879956364885726876e-2475j | 1.19e-979, 1.19e-979j | 
| 279.21938036110380546 - 9.4080389474911096907e-2501j | 1.05e-990, 1.05e-990j | 
| 34.461703481445054188 + 2.2149713811700246443e-2507j | 2.67e-987, 2.67e-987j | 
| 143.43902748922508707 - 1.1302785825623876887e-2498j | 6.38e-980, 6.38e-980j | 
| 1.793526250773246177 - 1.2661531905601291328e-2547j | 2.49e-1010, 2.49e-1010j | 
| 85.577613788280561099 + 2.405348762280999812e-2514j | 4.04e-980, 4.04e-980j | 
| 9.3095922411756679108 - 3.2142825829631471928e-2536j | 8.72e-1000, 8.72e-1000j | 
| 59.439144234165102253 + 2.4593090024063459692e-2518j | 2.31e-982, 2.31e-982j | 
| 123.17877860018990433 + 2.0428763649314859932e-2514j | 1.86e-979, 1.86e-979j | 
| 93.106683250592905465 - 2.6884022366734446583e-2528j | 8.91e-980, 8.91e-980j | 
| 3.4142135623730950488 - 3.2199936515743301516e-2570j | 5.35e-1007, 5.35e-1007j | 
| 71.753942328114146087 - 8.9951092916518658609e-2542j | 4.59e-981, 4.59e-981j | 
| 75.062518163303931517 + 2.7779008998259322956e-2542j | 8.78e-981, 8.78e-981j | 
| 97.036392035294919615 + 6.8325703711594274854e-2574j | 1.16e-979, 1.16e-979j | 
| 15.369605700068339611 - 1.1075759741409685821e-2627j | 2.93e-995, 2.93e-995j | 
| 2.2730962861950353441 + 1.6811009177263020348e-2651j | 3.09e-1009, 3.09e-1009j | 
| 12.756778712599217147 + 4.3121617732710457523e-2629j | 5.09e-997, 5.09e-997j | 
| 138.13146921073125068 + 2.9393061186101794653e-2660j | 8.87e-980, 8.87e-980j | 
| 26.565670457888031944 + 3.1973198015468803566e-2721j | 6.74e-990, 6.74e-990j | 
| 160.4623153014308385 + 1.9364182769507900784e-2744j | 1.16e-980, 1.16e-980j | 
| 1.0305540445410796448 - 2.8267502806581125629e-2844j | 2.04e-1012, 2.04e-1012j | 
| 2.8135377751055336197 - 7.0921707831120735796e-2840j | 4.42e-1008, 4.42e-1008j | 
| 109.53111668966969193 + 9.2956315439556390233e-2810j | 2.14e-979, 2.14e-979j | 
| 36.614343890763508861 - 4.0467037951144839293e-2847j | 1.03e-986, 1.03e-986j | 
| 56.580153176120066452 + 3.76566868906431887e-2839j | 8.9e-983, 8.9e-983j | 
| 10.396320220954094139 - 5.2458411906315197248e-2871j | 7.64e-999, 7.64e-999j | 
| 0.5857864376269049512 - 3.077419404569679672e-2896j | 2.57e-1014, 2.57e-1014j | 
| 18.238878935990880022 + 5.2899513399391507197e-2869j | 1.32e-993, 1.32e-993j | 
| 154.59339320009910477 + 1.2038203860907698383e-2859j | 2.2e-980, 2.2e-980j | 
| 200.75573456407469811 + 7.8719549825956895158e-2898j | 2.81e-983, 2.81e-983j | 
| 1.376887574900944896 - 1.5029331764066830438e-2961j | 2.1e-1011, 2.1e-1011j | 
| 0.77602279433647926393 + 1.7579396994133367258e-2966j | 2.51e-1013, 2.51e-1013j | 
| 4.0749682372071011098 - 7.9028429470114045298e-2959j | 7.25e-1006, 7.25e-1006j | 
| 118.49293663939247751 + 1.6947485048520653713e-2931j | 2.04e-979, 2.04e-979j | 
| 216.71747319295011813 + 6.7330483595486248159e-2969j | 1.42e-984, 1.42e-984j | 
| 101.08100620190594923 + 1.0631910092810404887e-3033j | 1.55e-979, 1.55e-979j | 
| 148.92287461189149932 - 1.4176686675495736542e-3106j | 3.95e-980, 3.95e-980j | 
| 0.21233998738196375035 + 3.0328027198173629124e-3192j | 3.35e-1017, 3.35e-1017j | 
| 5.5770176165467527994 - 1.9862294946491209599e-3177j | 9.36e-1004, 9.36e-1004j | 
| 172.85071731928794736 + 3.0283121776345650236e-3153j | 2.32e-981, 2.32e-981j | 
| 113.94557145586617611 + 1.2174278026662344757e-3167j | 2e-979, 2e-979j | 
| 21.369206197560703694 - 5.2093108951917227581e-3190j | 4.45e-992, 4.45e-992j | 
| 0.38654338680031086749 - 3.4277724635482968735e-3213j | 1.07e-1015, 1.07e-1015j | 
| 0.087093544722575909593 - 6.7384724182019315533e-3286j | 8.44e-1019, 8.44e-1019j | 
| 28.434359999468800874 + 1.8027850129252343357e-3186j | 3.17e-989, 3.17e-989j | 
| 208.53725050162164905 + 2.4777369407754190097e-3176j | 6.78e-984, 6.78e-984j | 
| 23.033859822982204792 + 2.3076609228201274655e-3198j | 2.56e-991, 2.56e-991j | 
| 11.545238459553420766 - 5.6249434038592976144e-3206j | 6.58e-998, 6.58e-998j | 
| 6.4186885029062460026 + 1.3367736250742293373e-3210j | 9.48e-1003, 9.48e-1003j | 
| 0.016584219882499589344 - 3.2843342179935953416e-3228j | 1.73e-1020, 1.73e-1020j | 
| 234.51417518118615941 + 2.4124071431404465139e-3186j | 3.69e-986, 3.69e-986j | 
| 68.539480997695915148 + 2.6771323452999286042e-3194j | 2.27e-981, 2.27e-981j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.9084063813994495324e-135 + 1.6557927305006765498e-2306j | 5.46e-133, 4.16e-876j | 
| 8.0784706864802711267e-106 - 1.1399798709343396819e-2291j | 1.85e-124, 1.4e-867j | 
| 3.2231630071529853813e-127 - 1.664596528756212167e-2302j | 2.88e-131, 2.19e-874j | 
| 2.2910162556163456242e-110 + 5.6480403020832674064e-2294j | 5.13e-126, 3.9e-869j | 
| 3.0657201382252830458e-17 - 2.6822609948354333613e-2245j | 5.88e-63, 4.47e-806j | 
| 2.7025328970809799007e-20 + 6.292727321453697711e-2247j | 3.34e-69, 2.54e-812j | 
| 1.767919735202783039e-14 + 4.4411932678427258287e-2244j | 6.22e-58, 4.73e-801j | 
| 3.1736649550723087365e-18 + 1.575346952624362246e-2246j | 3.11e-65, 2.36e-808j | 
| 2.494826958205438666e-115 - 1.7290828138113363958e-2296j | 2.49e-129, 1.9e-872j | 
| 4.0555498667202013825e-09 - 8.8581113061078613062e-2242j | 3.6e-44, 2.74e-787j | 
| 2.2176573049309937681e-21 + 2.2176652761275756289e-2247j | 9.9e-72, 7.53e-815j | 
| 2.4120531352384127261e-27 - 4.1054719556970234721e-2251j | 6.74e-82, 5.13e-825j | 
| 7.9321539186277508107e-84 - 1.699874720183454893e-2280j | 7.08e-121, 5.39e-864j | 
| 1.2006299291881917195e-97 - 1.5972177748987168094e-2287j | 3.87e-125, 2.95e-868j | 
| 8.9314149502748610803e-36 - 1.0686768757053441451e-2255j | 2.09e-93, 1.59e-836j | 
| 1.272138767016097562e-13 - 1.0759682255638286465e-2243j | 2.41e-61, 1.83e-804j | 
| 6.2844457992429963238e-39 - 2.285219893973997007e-2257j | 1.54e-96, 1.17e-839j | 
| 9.2834429965007666047e-81 + 6.2190061238342215429e-2279j | 2.45e-120, 1.87e-863j | 
| 1.6798463838540934578e-22 - 3.2483113737546301249e-2248j | 9.42e-78, 7.17e-821j | 
| 8.2919608688270183581e-46 - 5.6839236357309585785e-2261j | 4e-103, 3.04e-846j | 
| 2.9046415792112919047e-72 - 1.3482662791722198874e-2274j | 5.38e-118, 4.09e-861j | 
| 0.0006170512296818420486 - 3.7512592291462805751e-2239j | 5.68e-32, 4.32e-775j | 
| 1.2500824251788093238e-55 + 4.6344216024994611259e-2266j | 4.15e-110, 3.15e-853j | 
| 2.8860237923970452484e-34 + 6.8268694966295642756e-2255j | 1.65e-93, 1.25e-836j | 
| 1.1966771464252239182e-28 + 7.6795078045232416242e-2252j | 3.78e-88, 2.88e-831j | 
| 1.1729545953894150953e-23 + 5.8526424866518011141e-2249j | 5.87e-82, 4.46e-825j | 
| 0.00025088921861524002375 + 2.2880320968974010006e-2239j | 4.2e-40, 3.19e-783j | 
| 7.4604376761208015529e-08 - 3.6089489614537815981e-2241j | 5.34e-57, 4.06e-800j | 
| 1.0526679801661013437e-06 - 1.3373008541261505466e-2240j | 2.95e-53, 2.25e-796j | 
| 3.0442352657439931807e-19 - 1.1126612843651767573e-2246j | 1.58e-76, 1.2e-819j | 
| 3.0995624770450171098e-11 + 9.3019598544886358829e-2243j | 3.92e-66, 2.98e-809j | 
| 8.1480208722285565042e-78 - 1.9708310176705245619e-2277j | 3.34e-122, 2.54e-865j | 
| 0.0062061734744099912699 + 1.444931619878863045e-2238j | 1.99e-34, 1.51e-777j | 
| 8.8490694311700843992e-58 - 3.6139284634898276875e-2267j | 1.45e-113, 1.1e-856j | 
| 7.4576302355570720652e-121 + 2.761305219952057057e-2299j | 4.73e-139, 3.6e-882j | 
| 2.2858248619937708237e-15 - 7.0503379177739504241e-2245j | 2.65e-75, 2.02e-818j | 
| 2.7361425543326556216e-62 - 1.733929400709253388e-2269j | 1.99e-116, 1.51e-859j | 
| 0.074645564635327792718 - 1.0365964515408564437e-2237j | 1.57e-23, 1.2e-766j | 
| 2.4964811126266882731e-37 + 1.5998710562780519095e-2256j | 1.09e-99, 8.27e-843j | 
| 9.5601443084343793864e-05 - 1.3624750858714855454e-2239j | 7.06e-55, 5.37e-798j | 
| 4.4520214736749925232e-26 + 2.15024429637711619e-2250j | 1.6e-89, 1.22e-832j | 
| 1.5187123650894073565e-53 - 5.5207330366804227526e-2265j | 4.81e-112, 3.65e-855j | 
| 1.4203150815916451296e-40 + 3.1073749233299759271e-2258j | 3.35e-103, 2.55e-846j | 
| 0.02075209463928624711 + 3.231375011713753662e-2238j | 3.28e-44, 2.49e-787j | 
| 2.2440239152086987589e-31 + 2.4614896420843786481e-2253j | 3.56e-96, 2.7e-839j | 
| 8.4457484252950776007e-33 - 4.1809980731490335328e-2254j | 3.7e-97, 2.81e-840j | 
| 2.8722695336822931301e-42 - 4.0133179695789344896e-2259j | 2.13e-105, 1.62e-848j | 
| 2.896259894130017706e-07 + 7.0326858472366095704e-2241j | 1.14e-71, 8.69e-815j | 
| 0.052544713314725636049 + 6.9695151378399602341e-2238j | 1.15e-45, 8.78e-789j | 
| 3.5832202443047673793e-06 + 2.4804964164441694804e-2240j | 2.47e-69, 1.88e-812j | 
| 5.3474944803218386737e-60 + 2.6077980670987458839e-2268j | 2.19e-117, 1.67e-860j | 
| 5.3224745158948418174e-12 - 4.3089227760685538114e-2243j | 1.78e-81, 1.35e-824j | 
| 1.2253283087735915881e-69 + 2.9670479159440046812e-2273j | 1.48e-123, 1.13e-866j | 
| 0.10888231264907404335 - 2.6160949590376033316e-2237j | 5.99e-45, 4.56e-788j | 
| 0.034232267893626071878 - 4.7488408482202705105e-2238j | 3.92e-55, 2.98e-798j | 
| 1.1740943199975210551e-47 + 6.2027611739699747281e-2262j | 5.23e-111, 3.98e-854j | 
| 2.7471043166813652093e-16 + 5.9310403568809464533e-2245j | 1.49e-86, 1.13e-829j | 
| 7.5383360821590199489e-25 - 1.1157058803519515359e-2249j | 1.59e-93, 1.21e-836j | 
| 3.4141421789224958047e-05 + 7.9167866523958191751e-2240j | 1.52e-73, 1.15e-816j | 
| 0.10828093642936233864 - 3.2752397360825770283e-2237j | 3.82e-54, 2.9e-797j | 
| 1.798456754539133754e-08 + 1.8084131396100765325e-2241j | 1.81e-79, 1.38e-822j | 
| 4.1873625245051895998e-67 - 5.8815503512505459966e-2272j | 1.38e-122, 1.05e-865j | 
| 4.938226630614737477e-87 + 3.966449183927082499e-2282j | 1.6e-133, 1.22e-876j | 
| 0.096804733684018802564 + 1.6016084196120395388e-2237j | 2.98e-62, 2.27e-805j | 
| 0.094456452435878368873 + 3.6829881257587669171e-2237j | 4.05e-61, 3.08e-804j | 
| 0.011738591439109341334 - 2.1771748965559347287e-2238j | 4.46e-70, 3.39e-813j | 
| 1.5973597453915741288e-51 + 6.1307154613123200573e-2264j | 1.46e-114, 1.11e-857j | 
| 6.3814683337506068898e-94 + 1.2463786615470389904e-2285j | 2.79e-137, 2.12e-880j | 
| 5.1786476431801302257e-44 + 4.9120603673555990407e-2260j | 2.73e-110, 2.08e-853j | 
| 1.174598098291075833e-64 + 1.0573072518637100082e-2270j | 5.9e-122, 4.49e-865j | 
| 0.1224359971825440474 - 9.3852708939480811897e-2238j | 1.77e-73, 1.35e-816j | 
| 0.0030701176109392807023 - 9.4146644440008101635e-2239j | 2.31e-81, 1.76e-824j | 
| 5.4940276308913084571e-75 + 5.4764949012871946607e-2276j | 1.29e-127, 9.81e-871j | 
| 1.4633473565339600412e-49 - 6.3671005455765288166e-2263j | 3.69e-114, 2.81e-857j | 
| 8.5505934718484161456e-10 + 4.2487467906218490286e-2242j | 8e-93, 6.08e-836j | 
| 0.1315790485760835329 + 1.859613807805267139e-2237j | 6.18e-79, 4.7e-822j | 
| 0.090103633533562628413 + 4.205776085744322159e-2238j | 8.34e-80, 6.34e-823j | 
| 8.5238214372005695476e-13 + 2.0371795328127246774e-2243j | 1.12e-94, 8.55e-838j | 
| 2.1628538977147166904e-90 - 7.7621891458607194665e-2284j | 3.37e-136, 2.56e-879j | 
| 1.6846132645378105138e-10 - 2.0011844583672810094e-2242j | 5.88e-94, 4.47e-837j | 
| 1.1426299551389897508e-05 - 4.4872174249589121787e-2240j | 7.08e-91, 5.39e-834j | 
| 0.0014220667114114720997 + 6.0090052257040140917e-2239j | 3.36e-89, 2.56e-832j | 
| 0.041831162958371663936 - 1.1303294973696823881e-2238j | 2.97e-87, 2.26e-830j | 
| 1.3411430369315021004e-101 + 1.5757029999952954794e-2289j | 6.05e-142, 4.6e-885j | 
| 5.4261118526625773314e-30 - 1.3974344223390211153e-2252j | 2.43e-105, 1.85e-848j | 
All rules of Laguerre type can be downloaded here packed into a single file.