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) | 
|---|---|
| 237.09155905774951677 - 3.4128669371938650014e-2079j | 1.46e-996, 1.46e-996j | 
| 223.33843408763390101 + 3.0785257611456945307e-2077j | 4.33e-995, 4.33e-995j | 
| 254.33749410939156752 - 9.5184531509163646107e-2081j | 1.51e-998, 1.51e-998j | 
| 200.83756703616643766 - 6.3166558377559904065e-2074j | 8.64e-993, 8.64e-993j | 
| 37.667749456587975037 + 1.5160887949836590602e-2072j | 1.58e-990, 1.58e-990j | 
| 30.662260476650268384 + 3.5430495298534998855e-2074j | 5.17e-992, 5.17e-992j | 
| 211.46210857420135825 + 5.1954770295312927324e-2076j | 7.06e-994, 7.06e-994j | 
| 78.825462460015766419 - 6.2610501932355206141e-2067j | 1.19e-986, 1.19e-986j | 
| 95.780994504570440091 + 3.615925519245719913e-2082j | 1.86e-986, 1.86e-986j | 
| 158.50657951974414108 - 5.2049976415861764643e-2087j | 4.02e-989, 4.02e-989j | 
| 13.302863920774924643 + 1.2780705641716095508e-2100j | 3.13e-998, 3.13e-998j | 
| 5.7751435691045105018 - 1.5414507325814880309e-2106j | 1.88e-1004, 1.88e-1004j | 
| 48.357517918107118111 - 2.6516645825320195803e-2091j | 6.98e-989, 6.98e-989j | 
| 3.4433572406528635381 + 1.2592109697717588295e-2109j | 3.55e-1007, 3.55e-1007j | 
| 57.462641594289717769 + 7.8276193789673937014e-2090j | 7.15e-988, 7.15e-988j | 
| 26.449705370727280705 - 2.7859480558806717546e-2096j | 3.88e-993, 3.88e-993j | 
| 17.490096735466434423 + 1.048965229891115776e-2098j | 3.02e-996, 3.02e-996j | 
| 71.202174246491053736 + 8.8102208731230245313e-2088j | 5.92e-987, 5.92e-987j | 
| 144.7613343763808751 + 8.6042349277696670667e-2089j | 3.32e-988, 3.32e-988j | 
| 8.7416963570711515992 + 9.3057795947249180425e-2111j | 1.59e-1001, 1.59e-1001j | 
| 9.8374674183825899177 - 3.2272480075915843537e-2107j | 1.3e-1000, 1.3e-1000j | 
| 14.585852907608023574 - 1.0950566282765713825e-2104j | 1.58e-997, 1.58e-997j | 
| 165.93464816754618838 + 1.7477809556751261219e-2092j | 1.1e-989, 1.1e-989j | 
| 173.79966298543087614 - 5.9206981674031589276e-2096j | 2.47e-990, 2.47e-990j | 
| 51.284701780092654167 + 3.8105116498769394738e-2100j | 1.63e-988, 1.63e-988j | 
| 6.7015927024730029833 + 4.3401110361035038007e-2126j | 1.88e-1003, 1.88e-1003j | 
| 151.46269422048243564 + 2.4261893035777041124e-2108j | 1.18e-988, 1.18e-988j | 
| 12.111084313240881851 + 1.9117554579449254637e-2140j | 6.08e-999, 6.08e-999j | 
| 32.904566246174413673 - 6.9864390957951997973e-2129j | 1.7e-991, 1.7e-991j | 
| 126.4044978560136451 + 1.5372116794992674543e-2140j | 3.1e-987, 3.1e-987j | 
| 182.17033075359971776 + 3.9661008160940784629e-2195j | 4.45e-991, 4.45e-991j | 
| 7.6926557264574609516 + 1.1234410124324660441e-2240j | 1.81e-1002, 1.81e-1002j | 
| 0.82615273434966205136 + 3.9125367252827052628e-2249j | 5.94e-1014, 5.94e-1014j | 
| 100.41414997307451133 + 1.2323977378900838695e-2279j | 1.69e-986, 1.69e-986j | 
| 91.312965419268793247 + 6.9491516582700186813e-2352j | 1.94e-986, 1.94e-986j | 
| 22.594598775650376452 + 2.4908409424972744372e-2393j | 2.29e-994, 2.29e-994j | 
| 42.813448124701568304 - 1.2802553203199648312e-2407j | 1.27e-989, 1.27e-989j | 
| 1.622386128862349142 + 3.5049944471683598104e-2471j | 2.94e-1011, 2.94e-1011j | 
| 40.191860870994931195 - 1.3601292853662377648e-2476j | 4.39e-990, 4.39e-990j | 
| 19.098275631592218135 - 4.2677920349016856164e-2565j | 1.3e-995, 1.3e-995j | 
| 74.947302476598226295 + 1.678543196255556971e-2723j | 8.68e-987, 8.68e-987j | 
| 110.21180767959724857 - 6.1619838828013228343e-2871j | 1.24e-986, 1.24e-986j | 
| 10.963763470010075109 + 3.0717807190589511595e-2944j | 9.65e-1000, 9.65e-1000j | 
| 24.477664320611800681 - 8.1528766584308382314e-2942j | 9.6e-994, 9.6e-994j | 
| 115.39719635997456364 + 4.2713664762459433501e-2966j | 8.16e-987, 8.16e-987j | 
| 120.78993618475356227 + 5.0436116943657048881e-3002j | 5.16e-987, 5.16e-987j | 
| 105.22115347309564667 - 5.6461056819603432325e-3013j | 1.47e-986, 1.47e-986j | 
| 20.800942238150407453 + 1.6527421697947159106e-3025j | 5.95e-995, 5.95e-995j | 
| 0.54063338490644170987 + 5.1238049880767517519e-3046j | 4.3e-1015, 4.3e-1015j | 
| 45.534582297472169106 + 8.7035705766538104519e-3020j | 2.96e-989, 2.96e-989j | 
| 2.120279601349332562 - 9.4538981787338874008e-3041j | 6.34e-1010, 6.34e-1010j | 
| 132.25762172765121713 + 3.882006052130821449e-3018j | 1.6e-987, 1.6e-987j | 
| 28.510993258728339505 + 1.6934965463667007191e-3023j | 1.43e-992, 1.43e-992j | 
| 64.09238640712425294 + 2.2154083008930786218e-3017j | 2.27e-987, 2.27e-987j | 
| 0.22284660417926068946 - 1.2239734896356153847e-3053j | 3.85e-1017, 3.85e-1017j | 
| 191.13932634348789844 - 5.4240130188316633996e-3030j | 6.98e-992, 6.98e-992j | 
| 4.1342026000584168205 - 1.2151548106781508107e-3042j | 2.18e-1006, 2.18e-1006j | 
| 67.585319720598532551 + 8.1018422855101253775e-3023j | 3.86e-987, 3.86e-987j | 
| 0.098598329440923734062 + 2.1198576581059840499e-3062j | 9.43e-1019, 9.43e-1019j | 
| 1.1889321016726230307 + 3.4907769312340481366e-3056j | 1.12e-1012, 1.12e-1012j | 
| 2.6482981583642981391 + 1.7129145866246073546e-3052j | 1.95e-1008, 1.95e-1008j | 
| 82.841870124226059209 + 5.0794343687433502326e-3029j | 1.47e-986, 1.47e-986j | 
| 87.00226126458571308 - 8.2924561884493071382e-3041j | 1.66e-986, 1.66e-986j | 
| 138.36886478779225861 - 2.1307675242273214482e-3048j | 7.44e-988, 7.44e-988j | 
| 4.9176713962068494265 - 2.4586862271493855257e-3068j | 1.94e-1005, 1.94e-1005j | 
| 2.9927363260593140777 - 6.6427726547524895187e-3071j | 9.58e-1008, 9.58e-1008j | 
| 60.719382997102346856 - 1.9651720772960659863e-3048j | 1.34e-987, 1.34e-987j | 
| 35.239221834155611056 + 3.3378312262700297797e-3058j | 5.09e-991, 5.09e-991j | 
| 0.019158510425035455916 - 2.0631382465849918932e-3130j | 2.13e-1020, 2.13e-1020j | 
| 15.982873980601701783 + 5.6249722428695674646e-3065j | 6.99e-997, 6.99e-997j | 
| 0.35021569067598543755 + 2.9433345231169767951e-3084j | 3.74e-1016, 3.74e-1016j | 
| 54.3187855045311202 - 3.184040269709730483e-3054j | 3.93e-988, 3.93e-988j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.6232007067573754573e-102 + 4.2821907088579332031e-2136j | 6.62e-156, 7.24e-901j | 
| 1.2825990755943583656e-96 - 4.7751541854521649232e-2133j | 2.83e-154, 3.1e-899j | 
| 7.0909685975042907598e-110 - 6.8674353590189903577e-2140j | 9.7e-159, 1.06e-903j | 
| 6.0613576884968815641e-87 - 4.9272598720213845376e-2128j | 3.74e-152, 4.09e-897j | 
| 1.0835731788522409094e-16 - 1.0446672731898329116e-2088j | 5.22e-106, 5.71e-851j | 
| 1.0599805876851032264e-13 - 8.7326529222819200333e-2088j | 3.27e-100, 3.58e-845j | 
| 1.6278755837399971731e-91 + 2.0954302154524203222e-2130j | 2.85e-153, 3.12e-898j | 
| 2.3053390044745709821e-34 - 3.9630491605316475235e-2100j | 3.11e-128, 3.4e-873j | 
| 1.150216438416361886e-41 - 4.4415316931554090509e-2104j | 8.12e-134, 8.88e-879j | 
| 1.0483332431906573857e-68 + 1.6316398638988538411e-2118j | 1.47e-147, 1.61e-892j | 
| 2.0544273249304796934e-06 + 1.9808747157042625631e-2083j | 1.31e-82, 1.43e-827j | 
| 0.002770455042255977752 - 1.5514719013131147407e-2081j | 2.11e-61, 2.31e-806j | 
| 2.8653624924298060838e-21 + 2.8830165798436704494e-2092j | 7.56e-116, 8.26e-861j | 
| 0.019840283849011984484 + 2.1459332453429074208e-2080j | 4.28e-50, 4.68e-795j | 
| 3.543309430775543123e-25 - 9.817038913891090489e-2095j | 1.24e-120, 1.35e-865j | 
| 6.5713301113604531912e-12 - 2.0567239236645937502e-2088j | 4.26e-101, 4.66e-846j | 
| 3.953794390593521376e-08 - 9.7100529734025017642e-2085j | 1.43e-91, 1.56e-836j | 
| 4.3970765961744137848e-31 - 3.2959537267756413497e-2098j | 1.74e-126, 1.9e-871j | 
| 8.8440803268844301145e-63 + 2.1528200475929836926e-2115j | 1.74e-146, 1.9e-891j | 
| 0.00017172970927226879038 + 2.4859793539960000234e-2082j | 1.39e-77, 1.52e-822j | 
| 5.9497172106089150398e-05 - 1.4196087357534389617e-2082j | 2.93e-80, 3.2e-825j | 
| 6.1987060841465513154e-07 - 7.9639989445590454401e-2084j | 6.23e-89, 6.82e-834j | 
| 6.5826249712597400205e-72 - 3.4118533566273109722e-2120j | 3.1e-150, 3.39e-895j | 
| 2.682280291113367927e-75 + 5.7424698306924921951e-2122j | 7.1e-152, 7.76e-897j | 
| 1.5906646822331011994e-22 - 4.3696227619436499038e-2093j | 1.15e-121, 1.26e-866j | 
| 0.0011792980366068182011 + 8.118657225122340877e-2082j | 1.13e-78, 1.24e-823j | 
| 1.1410868136538011376e-65 - 6.4502137195372568373e-2117j | 2.8e-148, 3.06e-893j | 
| 6.3896233576515333554e-06 - 4.2491311940373507434e-2083j | 6.31e-91, 6.9e-836j | 
| 1.1728182170301891032e-14 - 9.9105794898438386788e-2088j | 1.61e-112, 1.76e-857j | 
| 7.2684580855994023902e-55 - 3.3914752466716762159e-2111j | 1.35e-145, 1.48e-890j | 
| 6.6303781384746139203e-79 - 7.5148897879491694268e-2124j | 7.3e-154, 7.99e-899j | 
| 0.00046595657280681216575 - 4.4274904298143459157e-2082j | 8.46e-87, 9.25e-832j | 
| 0.14262295566379026042 + 3.0347729793626079159e-2080j | 3.17e-74, 3.47e-819j | 
| 1.1601030323252224894e-43 + 3.6119059417449966134e-2105j | 3.21e-140, 3.51e-885j | 
| 9.6730421609242873778e-40 + 5.0710001804835623468e-2103j | 6.59e-138, 7.2e-883j | 
| 2.8298039724445900087e-10 + 2.7525019858000035721e-2086j | 1.1e-109, 1.21e-854j | 
| 6.8081590507347017624e-19 + 1.440632734223872549e-2090j | 7.93e-122, 8.68e-867j | 
| 0.092245618517752427063 + 2.4188232039311226949e-2080j | 3.15e-74, 3.44e-819j | 
| 9.0210111716926229588e-18 - 1.3856273883765116718e-2089j | 2.01e-120, 2.2e-865j | 
| 8.4108831806321034072e-09 + 3.1493458843514854161e-2085j | 6.26e-108, 6.85e-853j | 
| 1.076014064241100609e-32 + 3.8366945519593168042e-2099j | 2.05e-134, 2.24e-879j | 
| 6.9502624674842243648e-48 + 1.865461699180816695e-2107j | 2.19e-144, 2.4e-889j | 
| 1.9681766449764553685e-05 + 8.0230629811420938029e-2083j | 7.59e-102, 8.31e-847j | 
| 4.5132823491563653936e-11 - 6.0772324604849085363e-2087j | 3.37e-114, 3.68e-859j | 
| 4.0441647452226970312e-50 - 1.1703664554960062271e-2108j | 7.71e-146, 8.43e-891j | 
| 1.9144501654776923543e-52 + 6.6471861808947481889e-2110j | 3.34e-147, 3.65e-892j | 
| 9.8394826020791802244e-46 - 2.7102943884973719963e-2106j | 9.8e-144, 1.07e-888j | 
| 1.6178723085608294678e-09 - 9.7302099415217926084e-2086j | 6.95e-116, 7.6e-861j | 
| 0.1409489852190337973 - 4.1172800520774729888e-2080j | 5.07e-94, 5.55e-839j | 
| 4.6485717432849131895e-20 - 1.9526332200510853603e-2091j | 4.25e-128, 4.65e-873j | 
| 0.063022801677651148856 - 2.7574661538347202747e-2080j | 9.88e-99, 1.08e-843j | 
| 2.1769491521859288593e-57 + 1.5408594831378713464e-2112j | 2.64e-150, 2.89e-895j | 
| 8.7360899813210445796e-13 + 2.4541421481673613721e-2087j | 2.35e-121, 2.57e-866j | 
| 5.0190260103794926011e-28 - 1.9683941932481873658e-2096j | 5.11e-136, 5.59e-881j | 
| 0.10387455565021065103 - 3.6355061291489753065e-2080j | 2.23e-102, 2.44e-847j | 
| 9.0799020991584747141e-83 + 7.298760851513778805e-2126j | 7.06e-163, 7.73e-908j | 
| 0.01190373250995677394 - 7.2810470271487833048e-2081j | 4.35e-110, 4.75e-855j | 
| 1.5805580308400310127e-29 + 2.6163916271022016619e-2097j | 6.95e-137, 7.6e-882j | 
| 0.097579293496931442064 + 1.3977903731895995273e-2080j | 7.2e-105, 7.88e-850j | 
| 0.12146596956404559645 - 2.5405366903146451731e-2080j | 1.98e-106, 2.16e-851j | 
| 0.034828229627818777385 + 4.348197487898407077e-2080j | 8.77e-110, 9.59e-855j | 
| 4.3020922466855064542e-36 + 5.5441195259812401097e-2101j | 6.33e-141, 6.92e-886j | 
| 6.9533471139595076834e-38 - 5.4200006924310892933e-2102j | 6.88e-142, 7.53e-887j | 
| 5.0452565847144763342e-60 - 6.1710168970701395375e-2114j | 2.83e-153, 3.09e-898j | 
| 0.0060109646523380673305 + 3.1642396023729869633e-2081j | 2.43e-117, 2.66e-862j | 
| 0.013544333602170513307 - 4.4426428597376207594e-2080j | 1.99e-115, 2.18e-860j | 
| 1.4135040186101762287e-26 + 1.4162678445650650553e-2095j | 1.11e-136, 1.21e-881j | 
| 1.1820026998467019079e-15 + 3.3017373756381329191e-2088j | 1.75e-130, 1.92e-875j | 
| 0.04802598515881937351 - 3.2232231918836198602e-2081j | 1.83e-119, 2e-864j | 
| 1.6642160556725634511e-07 + 2.8693839493314710094e-2084j | 7.99e-125, 8.73e-870j | 
| 0.099410392265698310997 + 4.9843172608225778203e-2080j | 2.46e-119, 2.69e-864j | 
| 7.9322215627180462392e-24 + 6.6096461711965574058e-2094j | 2.58e-135, 2.82e-880j | 
All rules of Laguerre type can be downloaded here packed into a single file.