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.
    
Warning: This rule has negative weights!
| Node (ball center) | Error (ball radius) | 
|---|---|
| 161.78320328330557296 - 2.0496656047969276997e-1287j | 8.86e-495, 8.86e-495j | 
| 108.7013160161133257 + 4.4694936772601959822e-1280j | 1.34e-489, 1.34e-489j | 
| 135.44111701180808598 - 2.6860132830003306816e-1284j | 5.64e-492, 5.64e-492j | 
| 147.06415359507894259 + 4.8320931656348097918e-1289j | 3.53e-493, 3.53e-493j | 
| 76.933440550049229388 - 6.0040306648554243873e-1291j | 8.07e-488, 8.07e-488j | 
| 125.4958477719035329 - 3.9354532880729845167e-1302j | 4.94e-491, 4.94e-491j | 
| 30.054656955986684505 + 2.0255301529672114389e-1308j | 2.59e-489, 2.59e-489j | 
| 8.1094477897617299182 - 8.8093416686952332513e-1339j | 1.12e-495, 1.12e-495j | 
| 66.830074245272143873 - 3.6080587184657843049e-1330j | 1.57e-487, 1.57e-487j | 
| 22.418068497200584694 + 4.5455897204997499675e-1349j | 1.15e-490, 1.15e-490j | 
| 16.05853943054427416 + 1.9734831125084164714e-1357j | 2.29e-492, 2.29e-492j | 
| 62.195129560263592945 - 9.9306298784433306891e-1353j | 1.68e-487, 1.68e-487j | 
| 88.339753798357519694 - 3.632813871335185549e-1369j | 2.65e-488, 2.65e-488j | 
| 3.4142135623730950488 + 6.1951945178926337239e-1415j | 1.52e-499, 1.52e-499j | 
| 101.39084292977545746 - 2.030261989157073858e-1404j | 4.67e-489, 4.67e-489j | 
| 82.456154512066209248 - 4.4031267586199929102e-1451j | 5.62e-488, 5.62e-488j | 
| 9.4357136461012182542 + 2.9997374948967299194e-1489j | 5.34e-495, 5.34e-495j | 
| 71.734681553817629621 - 7.3952004013464412558e-1494j | 1.34e-487, 1.34e-487j | 
| 49.719220105326375841 + 1.4848722890041551701e-1540j | 1.05e-487, 1.05e-487j | 
| 42.448928249232437453 + 3.1140548953005728914e-1601j | 4.27e-488, 4.27e-488j | 
| 53.655694929705643254 + 1.6606793157724958027e-1653j | 1.38e-487, 1.38e-487j | 
| 2.0790903892016382416 - 2.3687066985620928235e-1701j | 1.54e-501, 1.54e-501j | 
| 57.809421105843262216 - 1.2389969975665150184e-1687j | 1.57e-487, 1.57e-487j | 
| 94.631017601718014085 + 4.41677750502531898e-1696j | 1.21e-488, 1.21e-488j | 
| 6.9239565457104964806 + 1.0211094884823864121e-1709j | 2.4e-496, 2.4e-496j | 
| 18.042419232400390551 - 2.6308346260938067399e-1705j | 9.02e-492, 9.02e-492j | 
| 14.207155093743340132 - 9.8785600446848265672e-1708j | 5.65e-493, 5.65e-493j | 
| 32.904369338048589669 + 2.7509415034669137532e-1701j | 6.36e-489, 6.36e-489j | 
| 0.47193845768537280597 - 9.1149616220397752866e-1726j | 4.6e-504, 4.6e-504j | 
| 116.67827745964217466 - 3.8981055190731274237e-1709j | 3.01e-490, 3.01e-490j | 
| 10.895795922494976825 - 2.3068545522316185312e-1720j | 2.75e-494, 2.75e-494j | 
| 4.9885826185631556081 - 1.6932724538397888328e-1724j | 8.29e-498, 8.29e-498j | 
| 27.360416715349626891 + 8.3331080546087318164e-1714j | 9.39e-490, 9.39e-490j | 
| 5.8874090971161450302 + 2.5807502316483104885e-1740j | 4.57e-497, 4.57e-497j | 
| 35.915429956660941101 - 1.3204182967470923352e-1731j | 1.28e-488, 1.28e-488j | 
| 24.816429702400615233 - 2.1026584353476698766e-1746j | 3.59e-490, 3.59e-490j | 
| 0.5857864376269049512 + 9.7665943181739848076e-1771j | 1.89e-504, 1.89e-504j | 
| 0.15730983836210817337 - 1.9534641286917476181e-1774j | 4.99e-508, 4.99e-508j | 
| 12.486507079040894342 + 1.1105670330275173915e-1759j | 1.3e-493, 1.3e-493j | 
| 45.987304689614067973 + 2.3291571050293918447e-1753j | 6.64e-488, 6.64e-488j | 
| 0.029583613195307343593 - 3.6882182374874092055e-1809j | 4.72e-510, 4.72e-510j | 
| 2.7103311436011202222 + 1.9919534924192265475e-1777j | 1.78e-500, 1.78e-500j | 
| 1.0406748406401594478 - 1.0287973989601782287e-1781j | 9.28e-504, 9.28e-504j | 
| 0.45916707187927690119 + 1.8362202545881593239e-1781j | 3.73e-504, 3.73e-504j | 
| 20.161251485168403787 + 2.1332029588548997384e-1768j | 3.16e-491, 3.16e-491j | 
| 1.5233530710972028038 + 8.7383520529181443469e-1780j | 1.15e-502, 1.15e-502j | 
| 39.094458497931252193 - 4.2089479488087607963e-1765j | 2.48e-488, 2.48e-488j | 
| 4.1765568050087063468 - 9.991774713748947224e-1783j | 1.27e-498, 1.27e-498j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.5477663326376056212e-70 - 6.4769026040326505915e-1340j | 8.37e-74, 8.74e-443j | 
| 4.7164105622630584521e-47 - 1.1037020400997931228e-1326j | 2.84e-66, 2.97e-435j | 
| 1.6079160463803937988e-58 - 8.2957022969719796309e-1334j | 1.16e-70, 1.21e-439j | 
| 1.7285417468763215517e-63 + 1.5370538769371228739e-1336j | 2.23e-72, 2.33e-441j | 
| 2.0749654023307520912e-33 + 1.0728281976797306273e-1320j | 6.54e-62, 6.83e-431j | 
| 2.9324988855661994316e-54 + 2.1670529960895461499e-1331j | 1.43e-69, 1.49e-438j | 
| 2.4551235749386067401e-13 + 5.7056396470687339489e-1310j | 4.72e-47, 4.94e-416j | 
| 0.00037807659353450204567 - 9.5777670036060893049e-1304j | 4.23e-25, 4.42e-394j | 
| 4.5105316443114220801e-29 + 1.7290049307042863842e-1318j | 4.73e-60, 4.95e-429j | 
| 4.273110449512424225e-10 - 4.9112882556796222133e-1308j | 4.75e-43, 4.97e-412j | 
| 2.0349293573237613436e-07 + 2.6337730029712854886e-1306j | 5.61e-38, 5.86e-407j | 
| 4.394468667443028075e-27 - 1.8532868797053858668e-1317j | 3.01e-59, 3.14e-428j | 
| 2.6202243879951731454e-38 + 4.1584291146482963757e-1323j | 2.22e-65, 2.32e-434j | 
| 0.024226779753986914789 + 4.9159255813933445044e-1302j | 1.87e-19, 1.95e-388j | 
| 6.4983691248661053941e-44 + 1.2796331527594160398e-1325j | 6.61e-68, 6.91e-437j | 
| 8.8173745214784067797e-36 - 7.0696979898810074467e-1322j | 3.32e-64, 3.47e-433j | 
| 0.00011127026310142729714 + 3.1154860561671160615e-1304j | 1.55e-36, 1.62e-405j | 
| 3.5405835525007307745e-31 - 1.4434055682453314561e-1319j | 3.14e-62, 3.28e-431j | 
| 9.7874284802301333281e-22 + 1.2416094906956409403e-1314j | 1.33e-59, 1.39e-428j | 
| 1.2642821995852033012e-18 + 6.0442355639151542636e-1313j | 2.3e-58, 2.41e-427j | 
| 2.0151768269146864875e-23 - 1.5615763667757692121e-1315j | 1.63e-60, 1.71e-429j | 
| 0.074186944164109720416 + 1.1025100886780551897e-1301j | 1.24e-27, 1.3e-396j | 
| 3.3405441616393990475e-25 + 1.7879436690226023428e-1316j | 3.02e-61, 3.16e-430j | 
| 5.2013286658287866661e-41 - 2.2459170860319653055e-1324j | 5.49e-69, 5.74e-438j | 
| 0.0010940554603494549873 + 2.8178305912608634906e-1303j | 9.7e-42, 1.01e-410j | 
| 2.993784495825186569e-08 - 7.3130585271265525402e-1307j | 2.51e-51, 2.63e-420j | 
| 1.2070953135599819813e-06 - 9.112719342394821503e-1306j | 3.32e-49, 3.47e-418j | 
| 1.5017062831254877559e-14 - 1.1432035323625033168e-1310j | 8e-58, 8.36e-427j | 
| -3.1353570331421811564 + 1.6971839801955374303e-1299j | 1.87e-36, 1.96e-405j | 
| 1.7764398649287161936e-50 - 4.2780261643894082177e-1329j | 9.73e-75, 1.02e-443j | 
| 2.8279939399153380246e-05 - 9.8660011654326626111e-1305j | 2.79e-48, 2.92e-417j | 
| 0.0057598324643225603156 + 1.6682299023532545384e-1302j | 7.32e-44, 7.65e-413j | 
| 3.4319469611343743128e-12 - 2.6719344437640516741e-1309j | 1.87e-56, 1.96e-425j | 
| 0.0026696046819802917617 - 7.5059460234780627293e-1303j | 2.16e-45, 2.26e-414j | 
| 7.8096148241831049546e-16 + 2.1413305953322809756e-1311j | 2.9e-59, 3.03e-428j | 
| 4.122280187850974794e-11 + 1.1783188310912798985e-1308j | 4.41e-56, 4.61e-425j | 
| 0.46030264444978724558 - 2.0796646743981710925e-1300j | 1.32e-43, 1.38e-412j | 
| 0.15497965897804344415 + 1.1699921593207701909e-1301j | 3.76e-44, 3.93e-413j | 
| 6.2538364960446485305e-06 + 3.0439588972326299258e-1305j | 1.45e-51, 1.52e-420j | 
| 3.8751142378107071571e-20 - 9.0339465935697443354e-1314j | 5.8e-62, 6.06e-431j | 
| 0.073809801809771189975 - 2.4230211035050160334e-1302j | 6.34e-45, 6.63e-414j | 
| 0.044491150589190703501 - 7.470618350337759923e-1302j | 8.11e-48, 8.47e-417j | 
| 0.15834635436925540769 + 2.6553050128577663345e-1301j | 2.1e-46, 2.19e-415j | 
| 3.0098590415113707399 - 1.5153436378892886488e-1299j | 9.21e-44, 9.62e-413j | 
| 3.8369225907142282344e-09 + 1.9419694123825973565e-1307j | 2.68e-55, 2.8e-424j | 
| 0.11304261148438319649 - 1.6250108751746892078e-1301j | 7.58e-48, 7.91e-417j | 
| 3.4310911638936087452e-17 - 3.7353637173688931787e-1312j | 1.81e-60, 1.89e-429j | 
| 0.012063227957855178383 - 3.0513927999469173248e-1302j | 1.65e-49, 1.72e-418j | 
All rules of Laguerre type can be downloaded here packed into a single file.