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) | 
|---|---|
| 216.57140205004821746 - 8.6115466345845542399e-2060j | 3.78e-998, 3.78e-998j | 
| 172.15866171064264139 + 2.635337774888711292e-2097j | 1.06e-993, 1.06e-993j | 
| 191.76798539884783997 - 1.2691918037107803473e-2132j | 1.53e-995, 1.53e-995j | 
| 233.30085678423100885 + 4.6330674971025488171e-2153j | 4.97e-1000, 4.97e-1000j | 
| 21.913465396427325403 - 2.5181791665792807665e-2176j | 7e-996, 7e-996j | 
| 147.92671258826839261 + 2.8341066953643784182e-2169j | 1.07e-991, 1.07e-991j | 
| 42.911092453239662345 - 3.7133480117247193895e-2180j | 1.87e-991, 1.87e-991j | 
| 73.045637793570213697 - 3.3054052303500916503e-2177j | 3.24e-989, 3.24e-989j | 
| 94.846341253825790748 - 2.8415367252270249317e-2180j | 4.06e-989, 4.06e-989j | 
| 20.073069813002744294 + 4.8480501771845162686e-2198j | 1.75e-996, 1.75e-996j | 
| 9.2642060583824388872 - 3.731720153101181952e-2203j | 5.34e-1002, 5.34e-1002j | 
| 40.164935668570767027 - 7.5136096792039692701e-2193j | 8.06e-992, 8.06e-992j | 
| 13.804848658476683365 - 1.5214030915424890728e-2200j | 6.82e-999, 6.82e-999j | 
| 51.828129118984079987 - 3.8689571451911998922e-2192j | 2.01e-990, 2.01e-990j | 
| 85.613735542221758784 - 1.1304032186389262793e-2188j | 4.43e-989, 4.43e-989j | 
| 61.834628108840129278 - 2.5177155915290645837e-2198j | 1.18e-989, 1.18e-989j | 
| 155.47650205266420141 - 1.1286799843543929892e-2201j | 2.71e-992, 2.71e-992j | 
| 37.527097426286510391 - 6.5712960942399949289e-2216j | 2.92e-992, 2.92e-992j | 
| 203.25216645659254233 - 4.0254203608815729188e-2214j | 1.09e-996, 1.09e-996j | 
| 8.1437663694352649283 - 9.9318134764516316396e-2227j | 5.77e-1003, 5.77e-1003j | 
| 34.995066550353685728 - 1.0712444732897990574e-2216j | 1.14e-992, 1.14e-992j | 
| 5.1876296284511003101 + 1.1714110033369195154e-2229j | 4.94e-1006, 4.94e-1006j | 
| 55.037524529518165987 - 1.2292595212900551056e-2213j | 3.8e-990, 3.8e-990j | 
| 81.262131289242629269 + 1.8314412324938936757e-2211j | 5.02e-989, 5.02e-989j | 
| 23.850010193633799379 + 1.3308757970913554633e-2234j | 2.69e-995, 2.69e-995j | 
| 6.0991938666682368173 - 4.2969994513510023996e-2245j | 5.95e-1005, 5.95e-1005j | 
| 45.768308880094976017 + 7.9926986644732901666e-2230j | 4.47e-991, 4.47e-991j | 
| 3.5964257710407220812 + 1.3994205836124293876e-2247j | 3.74e-1008, 3.74e-1008j | 
| 18.330529106170367157 - 1.3883613741278506793e-2236j | 4.32e-997, 4.32e-997j | 
| 181.50933304153317864 - 1.1758121141007542861e-2228j | 1.54e-994, 1.54e-994j | 
| 99.747723758842990175 + 3.7418412596555766833e-2259j | 3.21e-989, 3.21e-989j | 
| 10.42373258418873058 + 2.9422029307525362528e-2323j | 5.34e-1001, 5.34e-1001j | 
| 16.691223897259447074 + 5.2279447843716422321e-2320j | 1.01e-997, 1.01e-997j | 
| 4.3529429969391847843 - 1.7146675187835398416e-2329j | 4.62e-1007, 4.62e-1007j | 
| 110.18254899881364166 - 6.7623149186026273773e-2311j | 1.41e-989, 1.41e-989j | 
| 28.012033306978139246 - 4.1815017601179645732e-2356j | 3.29e-994, 3.29e-994j | 
| 127.66358379177177902 - 2.7104641169372007668e-2359j | 2.09e-990, 2.09e-990j | 
| 1.4134030591065167922 - 1.197410907774909147e-2408j | 3.05e-1012, 3.05e-1012j | 
| 15.16998714827960692 - 6.3655595474496414836e-2395j | 2.6e-998, 2.6e-998j | 
| 48.739570839410201068 - 9.3343294186405336884e-2386j | 9.83e-991, 9.83e-991j | 
| 115.74647341181869637 + 1.0565122019816260316e-2403j | 8.74e-990, 8.74e-990j | 
| 77.075299907843836344 + 6.7884620081755841713e-2423j | 3.91e-989, 3.91e-989j | 
| 2.9197536881938593874 - 5.3439167073891491365e-2452j | 3.41e-1009, 3.41e-1009j | 
| 7.0858100058588375569 - 4.6884002080871792925e-2447j | 5.48e-1004, 5.48e-1004j | 
| 58.371618271010245045 - 1.0338022624776719861e-2431j | 7.27e-990, 7.27e-990j | 
| 121.56596019963337031 + 1.0987585584588092137e-2454j | 4.66e-990, 4.66e-990j | 
| 32.56655305574004641 + 2.7755676684924943484e-2492j | 3.47e-993, 3.47e-993j | 
| 163.52365357748765823 - 8.2726392477506336877e-2535j | 6.1e-993, 6.1e-993j | 
| 0.76012559199138320564 - 3.6431791029368973774e-2616j | 1.76e-1014, 1.76e-1014j | 
| 11.564333137445839651 + 3.7900915824491395613e-2592j | 4.04e-1000, 4.04e-1000j | 
| 90.138617683600944978 - 4.692450823132871426e-2666j | 4.59e-989, 4.59e-989j | 
| 104.8550826510308551 - 6.087174083233028251e-2783j | 2.37e-989, 2.37e-989j | 
| 2.3262286619987065143 - 1.5686562353963222038e-2860j | 2.97e-1010, 2.97e-1010j | 
| 0.10783853920058164572 - 1.2200870234105460287e-2869j | 7.05e-1019, 7.05e-1019j | 
| 0.2635603197181409102 - 6.6932758914405375859e-2868j | 2.33e-1017, 2.33e-1017j | 
| 30.23948759523914047 - 6.9806107100060319992e-2840j | 1.16e-993, 1.16e-993j | 
| 0.020519397040387319169 + 1.2933250376890130663e-2914j | 1.42e-1020, 1.42e-1020j | 
| 140.80718189026735043 + 2.0202013427795992592e-2885j | 3.27e-991, 3.27e-991j | 
| 69.166315130248539392 - 4.0729098500305390167e-2945j | 2.36e-989, 2.36e-989j | 
| 0.48409953956323312395 - 7.6912660577103572405e-3012j | 7.3e-1016, 7.3e-1016j | 
| 1.0724029293385499762 + 4.5387158065506730284e-3009j | 3.13e-1013, 3.13e-1013j | 
| 65.431171247505500877 - 3.8860192008562245032e-2985j | 1.78e-989, 1.78e-989j | 
| 134.06637091258454589 + 5.7640186201046028045e-3027j | 9.04e-991, 9.04e-991j | 
| 12.640800844275782659 + 1.9451821462059250287e-3064j | 1.92e-999, 1.92e-999j | 
| 1.8225039900310652022 - 8.3074993923968864942e-3076j | 2.92e-1011, 2.92e-1011j | 
| 25.882618726382218868 + 5.935633749297959668e-3059j | 9.91e-995, 9.91e-995j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.2840224509409208694e-93 + 5.6334413187828874278e-2153j | 1.42e-174, 1.1e-919j | 
| 1.5314751634652936428e-74 + 1.3790005851338051884e-2144j | 1.38e-168, 1.07e-913j | 
| 5.6203226076334668771e-83 + 1.1975182481745224653e-2148j | 1.7e-171, 1.32e-916j | 
| 9.4181628322696897099e-101 + 1.5369007313795783398e-2157j | 2.43e-177, 1.89e-922j | 
| 5.7443183777711119607e-10 - 7.427498529703748396e-2111j | 9.74e-117, 7.54e-862j | 
| 4.178792229476638213e-64 - 2.0180130533419392939e-2139j | 1.79e-165, 1.39e-910j | 
| 6.4758233640998803279e-19 + 4.6597725819846014704e-2116j | 5.18e-135, 4.01e-880j | 
| 7.4757499336176825545e-32 - 5.7637188358974476725e-2123j | 7.61e-149, 5.9e-894j | 
| 3.0919814780465343606e-41 + 7.8772674420568716148e-2128j | 1.6e-155, 1.24e-900j | 
| 3.4332365780198799674e-09 + 2.4035727303297645582e-2110j | 2.12e-117, 1.64e-862j | 
| 0.00010858703515148527702 + 1.8426961872047802607e-2107j | 2.23e-100, 1.72e-845j | 
| 9.6960350157765932379e-18 - 2.0778757278324859294e-2115j | 3.51e-134, 2.72e-879j | 
| 1.2803136924414442073e-06 + 2.3222793988665484079e-2108j | 3.79e-110, 2.93e-855j | 
| 9.7591963540943485419e-23 - 3.8919659184935658299e-2118j | 5.4e-141, 4.19e-886j | 
| 2.9207297863556418975e-37 + 8.8583054145633158308e-2126j | 1.09e-153, 8.43e-899j | 
| 4.93412724188791195e-27 + 1.9811255040551826099e-2120j | 8.36e-146, 6.47e-891j | 
| 2.337271022881318994e-67 + 4.8359326024365484398e-2141j | 4.9e-169, 3.79e-914j | 
| 1.301880202388892496e-16 + 8.8435869113330606902e-2115j | 1e-134, 7.77e-880j | 
| 6.5641837826960216401e-88 - 6.7619769139130525436e-2151j | 1.99e-176, 1.54e-921j | 
| 0.00031709625599569738027 - 2.7418786007975665607e-2107j | 7.97e-107, 6.17e-852j | 
| 1.5713444867156290557e-15 - 3.6000509686532259514e-2114j | 5.99e-134, 4.64e-879j | 
| 0.0048778808542901549196 + 1.0088501578631335792e-2106j | 2.26e-100, 1.75e-845j | 
| 4.0944633456317713539e-24 + 7.0946322245408136141e-2119j | 1.15e-143, 8.92e-889j | 
| 2.1803037707414544648e-35 - 8.2872610191503705618e-2125j | 3e-153, 2.32e-898j | 
| 8.704114777310984908e-11 + 2.2502669677660481718e-2111j | 1.65e-128, 1.28e-873j | 
| 0.0021312986520340864651 - 6.4936037916051544797e-2107j | 2.35e-106, 1.82e-851j | 
| 3.8683330267940360727e-20 - 9.9533301598568801148e-2117j | 1.16e-139, 8.97e-885j | 
| 0.01966005467142694273 + 2.4273555603042805588e-2106j | 5.34e-100, 4.13e-845j | 
| 1.8519643794353296314e-08 - 7.6841492754947934369e-2110j | 2.01e-124, 1.55e-869j | 
| 1.4493558507014385639e-78 - 1.5235519854731795512e-2146j | 2.12e-174, 1.64e-919j | 
| 2.3948216141405350651e-43 - 6.4896184250663265644e-2129j | 9.56e-160, 7.4e-905j | 
| 3.4579034657813561287e-05 - 1.2910315882409227355e-2107j | 1.37e-118, 1.06e-863j | 
| 8.9302919274855853053e-08 + 2.4474395762181033581e-2109j | 3.27e-125, 2.54e-870j | 
| 0.010241290302876409938 - 1.5659168787318364626e-2106j | 6.76e-108, 5.24e-853j | 
| 7.6585446071755093075e-48 - 3.2649753734454250819e-2131j | 3.27e-163, 2.53e-908j | 
| 1.4880781149997308327e-12 + 1.9029858000419737706e-2112j | 2.46e-135, 1.91e-880j | 
| 2.2488535754071128506e-55 + 4.9139080453320706836e-2135j | 9.87e-168, 7.64e-913j | 
| 0.089203351275738790992 + 1.1394256714804033622e-2105j | 9.74e-104, 7.55e-849j | 
| 3.7482742327674191894e-07 - 7.7677894149033002629e-2109j | 5.4e-127, 4.19e-872j | 
| 2.0607346855898873701e-21 + 2.0208690536291798554e-2117j | 1.27e-144, 9.82e-890j | 
| 3.0684901437384438755e-50 + 1.9658117956870461304e-2132j | 3.95e-165, 3.06e-910j | 
| 1.3808684780211082458e-33 + 7.1722035074101946861e-2124j | 2.41e-155, 1.87e-900j | 
| 0.034303429235481373783 - 3.7650565539723466607e-2106j | 5.98e-117, 4.63e-862j | 
| 0.00085628692518200393666 + 4.193425426009222537e-2107j | 1.92e-123, 1.49e-868j | 
| 1.5161015157817163777e-25 - 1.2213806500330238742e-2119j | 1.18e-149, 9.13e-895j | 
| 9.5371074935955399974e-53 - 1.0492215219105299575e-2133j | 9.3e-167, 7.21e-912j | 
| 1.7085965876914728547e-14 + 1.4048277297798666773e-2113j | 2.93e-142, 2.27e-887j | 
| 7.9962337394026107567e-71 - 9.2790541948357472053e-2143j | 2.02e-175, 1.56e-920j | 
| 0.13937222358559568471 + 8.7172380072831005866e-2106j | 9.35e-122, 7.24e-867j | 
| 1.0487801020382706176e-05 + 9.0659894500439817768e-2108j | 6.11e-133, 4.73e-878j | 
| 3.2917807075459370365e-39 - 8.7231340964737244568e-2127j | 1.41e-159, 1.09e-904j | 
| 1.5109885639718706789e-45 + 4.8492779167790569551e-2130j | 3.6e-163, 2.79e-908j | 
| 0.053721003916372748347 + 5.8357293750087956824e-2106j | 2.31e-129, 1.79e-874j | 
| 0.10939754673294087848 - 1.7125842958541946242e-2106j | 3.08e-127, 2.39e-872j | 
| 0.14524226924040711237 + 3.4641634662941558979e-2106j | 3.55e-127, 2.75e-872j | 
| 1.676932284274289078e-13 - 5.2675878097816996273e-2113j | 3.89e-144, 3.01e-889j | 
| 0.05156082773336425154 + 4.8246285915437043628e-2107j | 1.9e-128, 1.47e-873j | 
| 4.8807611232768188893e-61 + 6.9238056923495030152e-2138j | 5.38e-172, 4.17e-917j | 
| 3.4829656406759100852e-30 + 4.3156160570073171137e-2122j | 4.86e-156, 3.76e-901j | 
| 0.1544319069342618335 - 5.788427421291444389e-2106j | 3.6e-133, 2.79e-878j | 
| 0.11083147012295646176 - 1.1335751580052836039e-2105j | 5.98e-134, 4.63e-879j | 
| 1.404987476472188225e-28 - 3.0201544748420037237e-2121j | 3.54e-155, 2.74e-900j | 
| 3.9174115580318545583e-58 - 1.9952535822052130538e-2136j | 7.64e-171, 5.92e-916j | 
| 3.5005977836100265198e-06 - 5.3951310796482770391e-2108j | 1.73e-141, 1.33e-886j | 
| 0.073693142020444066319 - 8.7673062156846961946e-2106j | 1.55e-138, 1.15e-883j | 
| 1.1955291064677544481e-11 - 6.6441237120670467246e-2112j | 9.97e-146, 7.73e-891j | 
All rules of Laguerre type can be downloaded here packed into a single file.