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) | 
|---|---|
| 195.57664130011847413 - 9.000521557602023249e-430j | 6.07e-428, 6.07e-428j | 
| 182.71966725539104716 + 5.5793039349782235777e-426j | 3.54e-424, 3.54e-424j | 
| 211.75679139546915268 + 4.611313804332975135e-435j | 1.3e-432, 1.3e-432j | 
| 152.8074980250073048 - 3.3875180844357472975e-425j | 2.67e-423, 2.67e-423j | 
| 161.78624605597768247 + 4.9431715994570398224e-432j | 3.09e-430, 3.09e-430j | 
| 31.822580116319373 - 3.3965870955768816972e-450j | 5.37e-446, 5.37e-446j | 
| 52.139189796413913995 - 1.0958868111395597784e-438j | 9.51e-437, 9.51e-437j | 
| 11.777678210306531347 - 2.7871967356870041815e-487j | 1.79e-485, 1.79e-485j | 
| 93.802821683598180712 - 1.8001114437612401498e-455j | 1.25e-453, 1.25e-453j | 
| 129.61922349476380607 + 6.768170838257511802e-476j | 8.34e-474, 8.34e-474j | 
| 15.500943379346675441 - 2.7072030932244234603e-523j | 1.83e-488, 1.83e-488j | 
| 45.701474066492827116 + 6.7706042549636885154e-488j | 1.76e-482, 1.76e-482j | 
| 10.582738363032173373 + 9.0653013535638978367e-526j | 8.89e-491, 8.89e-491j | 
| 6.2225187028629209116 + 1.3227994103045183125e-525j | 1.63e-493, 1.63e-493j | 
| 22.788178638757229139 + 8.4725860921546938931e-506j | 2.37e-486, 2.37e-486j | 
| 7.053870302093294924 - 2.2021277723816072987e-528j | 3.74e-493, 3.74e-493j | 
| 29.399154797963218699 + 4.809775443587909702e-499j | 8.68e-485, 8.68e-485j | 
| 24.883740740734678624 - 3.6427674422244474326e-502j | 8.26e-486, 8.26e-486j | 
| 104.55743387922895512 - 3.5614753194332420028e-493j | 9.47e-482, 9.47e-482j | 
| 171.65391707582182846 + 9.3600681353589330336e-505j | 1.04e-486, 1.04e-486j | 
| 99.053514063971003138 + 5.8615505075919412349e-509j | 1.66e-481, 1.66e-481j | 
| 8.1587850678157993965 + 2.1335826976512389845e-549j | 1.84e-492, 1.84e-492j | 
| 14.023914954138327016 - 1.3160411064383428007e-546j | 6.34e-489, 6.34e-489j | 
| 79.396888707290044792 + 2.7057517740257258889e-530j | 3.84e-481, 3.84e-481j | 
| 136.83033660942937345 - 9.657826246776214855e-563j | 1.13e-483, 1.13e-483j | 
| 110.33658160082774559 - 8.3175283794171963393e-595j | 5.37e-482, 5.37e-482j | 
| 18.917861606125591519 - 1.291493685968706213e-638j | 2.04e-487, 2.04e-487j | 
| 42.680215856431849377 + 4.359479401004935095e-609j | 8.56e-483, 8.56e-483j | 
| 62.857224027046000478 - 1.1513493405390107915e-630j | 2.28e-481, 2.28e-481j | 
| 144.53036642518738627 - 7.9919530695200219121e-671j | 3.06e-484, 3.06e-484j | 
| 122.83162451167763441 + 3.1696973190736322284e-701j | 1.04e-482, 1.04e-482j | 
| 1.6682880962583043051 - 1.0889184179412198889e-773j | 3.15e-501, 3.15e-501j | 
| 2.7381921888659536321 + 1.6189352493671497335e-776j | 5.2e-499, 5.2e-499j | 
| 3.4142135623730950488 + 2.4199383270793045023e-774j | 7.09e-498, 7.09e-498j | 
| 12.825957359722200731 + 3.9004518315959899449e-755j | 2.18e-489, 2.18e-489j | 
| 88.786742610843433882 - 6.6148165431539575389e-718j | 2.95e-481, 2.95e-481j | 
| 27.086882242774857555 - 2.9172688811659870888e-741j | 2.71e-485, 2.71e-485j | 
| 0.5857864376269049512 + 5.7198484495378940375e-800j | 7.85e-505, 7.85e-505j | 
| 20.799370790425286883 + 1.3866644993018931814e-747j | 7.25e-487, 7.25e-487j | 
| 39.785191956637590805 + 1.2436585921092684312e-732j | 3.69e-483, 3.69e-483j | 
| 34.359541847452712207 - 2.5742997831786651547e-736j | 6.1e-484, 6.1e-484j | 
| 2.1569301152897775303 + 4.9629318914451217004e-792j | 4.03e-500, 4.03e-500j | 
| 48.852990282468635705 + 9.3975020409467010239e-728j | 3.34e-482, 3.34e-482j | 
| 1.2542623721574744198 - 5.1156245886634705689e-799j | 2.67e-502, 2.67e-502j | 
| 17.147383326155852173 + 9.2134124439046551883e-753j | 6.27e-488, 6.27e-488j | 
| 70.780275002281295505 - 3.1100335816144120312e-728j | 3.46e-481, 3.46e-481j | 
| 9.3459518428118469803 + 2.9669535855765230081e-770j | 1.27e-491, 1.27e-491j | 
| 55.564946455318507613 - 1.246699533082346574e-741j | 9.55e-482, 9.55e-482j | 
| 83.989350988141285823 + 1.0490444793627975519e-769j | 3.58e-481, 3.58e-481j | 
| 74.997369841718594151 - 6.0973923008341394024e-808j | 3.73e-481, 3.73e-481j | 
| 116.41730095631500806 - 9.871292861763627869e-833j | 2.64e-482, 2.64e-482j | 
| 0.18754952395605534055 - 1.3326933620885956074e-910j | 3.33e-507, 3.33e-507j | 
| 5.9184086721992864573 + 1.4356361122513271039e-889j | 7.92e-494, 7.92e-494j | 
| 0.89322850384656798342 - 1.6623579413053476528e-907j | 1.43e-503, 1.43e-503j | 
| 4.1813845726393364607 + 4.3019119248041089306e-892j | 1.12e-496, 1.12e-496j | 
| 0.08837702141245734094 + 8.4098089738065167979e-909j | 2.41e-508, 2.41e-508j | 
| 59.135639781149616031 + 6.3695673510358735217e-840j | 1.63e-481, 1.63e-481j | 
| 5.0338021453153096712 - 3.8468201635560324743e-890j | 2.12e-495, 2.12e-495j | 
| 37.012742396147762623 + 5.2852742239547021597e-851j | 1.63e-483, 1.63e-483j | 
| 0.34625613278624417909 - 3.1504387043782707758e-903j | 4.06e-506, 4.06e-506j | 
| 66.736311700163831996 + 8.9706892074681411269e-847j | 2.86e-481, 2.86e-481j | 
| 0.018674481529260261175 + 6.1279173674996303525e-910j | 4.81e-510, 4.81e-510j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.627535433643532713e-84 + 6.0322656236388946824e-496j | 1.54e-174, 2.14e-352j | 
| 5.2310258912042167102e-79 - 4.8024848238668672469e-493j | 5.95e-173, 8.31e-351j | 
| 2.0718961595149004926e-91 - 1.4523687364417024315e-499j | 3.62e-177, 5.06e-355j | 
| 3.7256747979352012585e-66 + 3.1801617095018370461e-486j | 1.4e-169, 1.96e-347j | 
| 5.1232534703195964993e-70 - 2.7818516408750247148e-488j | 9.74e-171, 1.36e-348j | 
| 3.7500777231824322045e-14 - 7.1477126455423055555e-457j | 2.21e-134, 3.09e-312j | 
| 7.6198492543715800908e-23 + 4.8121089291161777913e-461j | 2.79e-146, 3.9e-324j | 
| 8.5717237429721608094e-06 + 1.5681300251835461207e-450j | 2.79e-112, 3.89e-290j | 
| 9.3780847769598428167e-41 - 2.3282836522063523469e-472j | 2.89e-160, 4.04e-338j | 
| 3.5608858663458626292e-56 - 7.3700619960431146155e-481j | 4.17e-167, 5.82e-345j | 
| 2.9183768059331397067e-07 - 5.6231858860459664646e-452j | 3.69e-120, 5.15e-298j | 
| 4.3797923691731981383e-20 + 5.2809779052439383167e-460j | 7.36e-144, 1.03e-321j | 
| 3.1444550733001564042e-05 - 2.7868686041937293453e-450j | 3.1e-112, 4.33e-290j | 
| 0.00061331251447316731745 - 2.6175297954588224306e-448j | 1.68e-102, 2.34e-280j | 
| 2.5900197489236132208e-10 - 1.9947291665679468102e-454j | 2.69e-129, 3.75e-307j | 
| 0.00090850582191628265787 + 5.4476139082963461235e-449j | 1.15e-105, 1.61e-283j | 
| 4.0401319675632264842e-13 + 2.990385238016852967e-456j | 7.25e-135, 1.01e-312j | 
| 3.3526922595166992703e-11 + 4.9793456482911495149e-455j | 2.38e-131, 3.32e-309j | 
| 2.1997495532773737245e-45 - 5.981704382527554101e-475j | 1.06e-164, 1.48e-342j | 
| 2.9422783886222993786e-74 + 1.5602407081391770694e-490j | 9.84e-176, 1.37e-353j | 
| 5.151087443677488397e-43 + 1.2505394818246419599e-473j | 1.49e-163, 2.08e-341j | 
| 0.00032924457618537916684 - 1.4742540094050585132e-449j | 2.28e-115, 3.18e-293j | 
| 1.1024825938704771018e-06 + 2.421093072726860804e-451j | 1.36e-124, 1.89e-302j | 
| 1.4825672858129548401e-34 + 8.3804386080970390161e-469j | 2.15e-160, 3e-338j | 
| 2.7995838495133772499e-59 + 1.5504729616722132365e-482j | 2.55e-171, 3.55e-349j | 
| 7.1470816323428278642e-48 + 2.5158943826139779767e-476j | 1.16e-166, 1.62e-344j | 
| 1.1112933161151411197e-08 - 3.1997319562878754251e-453j | 4.07e-134, 5.68e-312j | 
| 8.6127689038338461787e-19 - 2.1081259139372178591e-459j | 2.48e-149, 3.47e-327j | 
| 1.9104851859500725743e-27 + 1.8726287479565156849e-464j | 1.51e-157, 2.11e-335j | 
| 1.3576777140843087608e-62 - 2.5624315918280829684e-484j | 4.44e-173, 6.2e-351j | 
| 2.9786882896462180766e-53 + 2.8465174307755035493e-479j | 1.68e-169, 2.35e-347j | 
| 0.084273590972724504058 + 6.0809598017464673554e-448j | 3.74e-110, 5.22e-288j | 
| 0.040693286958754916662 + 2.8249590260140998268e-448j | 5.77e-116, 8.05e-294j | 
| 0.023765612371861901271 - 1.9333339906250282206e-448j | 1.39e-118, 1.95e-296j | 
| 2.8283978057037912162e-06 - 7.7290656189386999568e-451j | 4.33e-132, 6.05e-310j | 
| 1.352018327699497033e-38 + 3.9049243261927825515e-471j | 7.14e-164, 9.97e-342j | 
| 3.8897869178339909928e-12 - 1.2295812884499086506e-455j | 1.04e-143, 1.46e-321j | 
| 0.15369611266338943484 - 9.647774280615180555e-448j | 1.39e-116, 1.94e-294j | 
| 1.7935907528374303435e-09 + 7.9611685162843939809e-454j | 4.42e-140, 6.17e-318j | 
| 1.4920420902483261259e-17 + 8.9887612757795117138e-459j | 4.23e-151, 5.9e-329j | 
| 3.1039294457864678432e-15 + 1.6796293090967551317e-457j | 1.15e-148, 1.6e-326j | 
| 0.061720302430759381986 - 4.2598574379538867475e-448j | 6.55e-124, 9.15e-302j | 
| 1.9543995823434995255e-21 - 1.6693305131029307423e-460j | 7.2e-155, 1.01e-332j | 
| 0.10996030947475618507 - 7.678857230370342961e-448j | 3.43e-123, 4.79e-301j | 
| 6.1164291617201186043e-08 + 1.3152721392432795792e-452j | 3.53e-140, 4.93e-318j | 
| 7.5226287932014133378e-31 + 1.3520722501072450439e-466j | 6.11e-163, 8.53e-341j | 
| 0.00010649118570373359387 + 5.7416904691239507652e-450j | 2.83e-137, 3.95e-315j | 
| 2.5833374992576289931e-24 + 3.4888426375995036366e-462j | 2.09e-158, 2.91e-336j | 
| 1.5679049609599046172e-36 - 5.9633065269179756701e-470j | 8.67e-166, 1.21e-343j | 
| 1.1566367912125178872e-32 - 1.0961050150992907668e-467j | 4.36e-164, 6.09e-342j | 
| 1.7214967176381942829e-50 - 9.1696816960667133131e-478j | 3.63e-173, 5.07e-351j | 
| 0.099443723862411128465 - 1.1070513682572537654e-447j | 1.48e-137, 2.07e-315j | 
| 0.0020040281702550718868 + 2.9394983872808129671e-448j | 2.03e-141, 2.83e-319j | 
| 0.13761262886991930345 + 8.7153527794269146936e-448j | 5.5e-138, 7.68e-316j | 
| 0.012393108111314404642 + 1.4716821144849004885e-448j | 3.08e-141, 4.3e-319j | 
| 0.078863736303672551367 + 7.0049354073103346181e-448j | 8.42e-139, 1.18e-316j | 
| 7.575769708904792433e-26 - 2.2910739548574575655e-463j | 9.04e-161, 1.26e-338j | 
| 0.0058008268231239361736 - 1.4248066739718086142e-448j | 8.33e-143, 1.16e-320j | 
| 2.2851123211664214471e-16 - 3.8941776348974213443e-458j | 5.41e-155, 7.56e-333j | 
| 0.14175594552935110122 + 1.1014144189985879539e-447j | 1.35e-142, 1.88e-320j | 
| 4.1163116108043985533e-29 - 1.6011350700031617703e-465j | 1.13e-162, 1.58e-340j | 
| 0.046014919999192397024 - 1.8556597277666827175e-448j | 2.84e-143, 3.96e-321j | 
All rules of Laguerre type can be downloaded here packed into a single file.