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) | 
|---|---|
| 140.45561297530206152 - 2.0568882462028218934e-1488j | 3.35e-491, 3.35e-491j | 
| 167.0803899211161265 - 1.3492579500489730495e-1491j | 4.42e-494, 4.42e-494j | 
| 121.46089105033294844 + 2.5610887168097589774e-1485j | 2.18e-489, 2.18e-489j | 
| 130.39111883606317278 - 2.4324706602822944099e-1487j | 3.35e-490, 3.35e-490j | 
| 152.20878820525735319 + 7.9563067231980213456e-1490j | 2.05e-492, 2.05e-492j | 
| 8.2513526447863045039 + 3.0482603787868132602e-1491j | 2.02e-493, 2.02e-493j | 
| 14.753354900255584282 - 5.1814099006406125853e-1487j | 1.45e-489, 1.45e-489j | 
| 113.37561476393802014 - 2.4830602736771693403e-1483j | 1.06e-488, 1.06e-488j | 
| 53.284804187059154585 - 3.7103507145502110441e-1488j | 3.81e-486, 3.81e-486j | 
| 32.997525255688913646 - 1.2638705126618214967e-1496j | 4.78e-487, 4.78e-487j | 
| 92.703926923082087706 - 9.1086827980754239807e-1502j | 3.12e-487, 3.12e-487j | 
| 20.848284513111669175 + 6.4819084034915910848e-1514j | 2.7e-487, 2.7e-487j | 
| 6.0614672980381884113 + 2.5157689738419491694e-1523j | 3.19e-495, 3.19e-495j | 
| 27.532442987125322624 + 5.3267727553093819816e-1515j | 1.96e-487, 1.96e-487j | 
| 2.3106347772255290763 - 1.5189691686569716671e-1527j | 5.15e-500, 5.15e-500j | 
| 10.84374838722421369 - 6.7521373393787040556e-1520j | 3.17e-491, 3.17e-491j | 
| 5.1777382646558372785 + 6.5026918434024568439e-1524j | 3.97e-496, 3.97e-496j | 
| 1.8448022073844265402 + 1.4088621133026007784e-1528j | 5.69e-501, 5.69e-501j | 
| 105.95983880809281759 - 8.3542966113413891314e-1514j | 3.89e-488, 3.89e-488j | 
| 22.466610903822969323 - 7.2551081625453836239e-1526j | 2.42e-487, 2.42e-487j | 
| 21.376453006750519738 - 1.1480384028057031085e-1528j | 4.34e-487, 4.34e-487j | 
| 9.5251579906401413862 + 3.3091137853263262613e-1538j | 2.14e-492, 2.14e-492j | 
| 45.81154949658495589 + 2.847003827160284339e-1531j | 2.57e-486, 2.57e-486j | 
| 75.798852576075223446 + 8.6279505751070612914e-1569j | 1.82e-486, 1.82e-486j | 
| 57.321709763592160754 - 7.7187125534812841561e-1617j | 3.94e-486, 3.94e-486j | 
| 18.498132851110645756 - 9.4333409370536781703e-1646j | 1.28e-488, 1.28e-488j | 
| 2.8933927053859570824 - 7.1488250899940195256e-1669j | 4.35e-499, 4.35e-499j | 
| 7.0858100058588375569 + 7.2021477870965729143e-1669j | 2.26e-494, 2.26e-494j | 
| 49.451806251030390576 + 9.8657920296087413508e-1669j | 3.29e-486, 3.29e-486j | 
| 12.126437582454868669 + 1.8062619894173612706e-1700j | 6.98e-490, 6.98e-490j | 
| 12.640800844275782659 + 1.305430565463513238e-1699j | 2.13e-489, 2.13e-489j | 
| 13.163488878500400561 - 2.1491022430351085368e-1698j | 1.91e-489, 1.91e-489j | 
| 1.4134030591065167922 - 6.7351327784734513882e-1711j | 6.88e-502, 6.88e-502j | 
| 25.000830931607806788 - 2.0074495520545483249e-1718j | 1.43e-487, 1.43e-487j | 
| 70.794921411657588837 - 1.0766348931431202094e-1775j | 2.76e-486, 2.76e-486j | 
| 61.575357048374453948 + 2.6139129799958446767e-1820j | 4.1e-486, 4.1e-486j | 
| 30.192803517488057918 + 2.4016187853420345136e-1837j | 3.04e-487, 3.04e-487j | 
| 0.50570345274909796347 - 3.9096954818375150114e-1868j | 2.24e-505, 2.24e-505j | 
| 0.016164262968590236822 + 5.9880459959644457695e-1885j | 3.76e-510, 3.76e-510j | 
| 86.719726672671132166 - 3.3913093939548409427e-1849j | 6.48e-487, 6.48e-487j | 
| 3.5964257710407220812 - 3.3784488035705947408e-1887j | 4.51e-498, 4.51e-498j | 
| 16.533343203504277175 + 4.903313978263947874e-1877j | 3.37e-489, 3.37e-489j | 
| 4.3694401283110748259 - 4.632351562250730938e-1887j | 5.27e-497, 5.27e-497j | 
| 99.096844922602991347 - 3.3335521979677449897e-1876j | 1.17e-487, 1.17e-487j | 
| 42.354238621533421086 - 1.7462476992910363582e-1909j | 1.91e-486, 1.91e-486j | 
| 66.060623636188955025 + 3.309214750244908308e-1943j | 3.33e-486, 3.33e-486j | 
| 0.77616217392612010956 - 2.2460906000421579474e-1975j | 5.04e-504, 5.04e-504j | 
| 35.954676405957428881 + 2.9375823251527366068e-1956j | 8.15e-487, 8.15e-487j | 
| 1.0447719743420423719 - 3.752116022797804847e-1983j | 5.28e-503, 5.28e-503j | 
| 0.097850936687084069861 - 1.3112111944444541733e-1988j | 1.17e-508, 1.17e-508j | 
| 0.2635603197181409102 + 8.2911244362249129366e-1987j | 4.53e-507, 4.53e-507j | 
| 81.097107574746751657 + 3.0818784707152854943e-1967j | 1.31e-486, 1.31e-486j | 
| 39.071204049396741948 + 7.271275849217951513e-1974j | 1.31e-486, 1.31e-486j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.0802053498810937829e-60 + 4.260748168301629067e-1530j | 4.28e-192, 7.45e-433j | 
| 4.8268148072701392975e-72 + 2.3765867737505567298e-1536j | 2.01e-196, 3.5e-437j | 
| 1.5072135519397988335e-52 + 1.5530083823664026388e-1525j | 1.28e-189, 2.22e-430j | 
| 2.2212426738342675971e-56 - 1.0859118648498170514e-1527j | 5.59e-191, 9.72e-432j | 
| 1.0187368005413577674e-65 - 7.049771785046659912e-1533j | 1.07e-194, 1.86e-435j | 
| 0.00032001165616592264477 + 2.1078052570908292247e-1492j | 1.92e-138, 3.34e-379j | 
| 6.5778151590087700093e-07 + 4.6458361878188764404e-1493j | 2.27e-150, 3.95e-391j | 
| 4.462973192557393015e-49 - 1.4483006233427757526e-1523j | 4.98e-189, 8.67e-430j | 
| 2.8406871071306478996e-23 + 5.9260200334061451518e-1508j | 8.33e-177, 1.45e-417j | 
| 1.3449698726186787618e-14 + 1.4192070977692306535e-1501j | 6.29e-168, 1.09e-408j | 
| 3.3897151513214178237e-40 + 1.9669281035919307433e-1518j | 1.17e-186, 2.04e-427j | 
| 3.5308745744393741991e-09 + 1.2955374060366975222e-1495j | 9.14e-160, 1.59e-400j | 
| 0.0022108036711691861257 + 6.4697376533492190181e-1492j | 2.24e-139, 3.9e-380j | 
| 2.8604351909066681632e-12 + 1.9091461748015234675e-1499j | 2.96e-165, 5.15e-406j | 
| 0.050894336873244039306 - 8.1525942911264998977e-1491j | 2.71e-125, 4.71e-366j | 
| 2.5444129674651847659e-05 + 1.9384199098701884952e-1492j | 1.72e-149, 2.99e-390j | 
| 0.0046940198558606638184 - 1.1231781020581523e-1491j | 6.98e-138, 1.21e-378j | 
| 0.069425034976826933678 + 1.1695975130710328668e-1490j | 2.63e-123, 4.59e-364j | 
| 6.8376870893630157854e-46 + 9.6531673595530085205e-1522j | 1.69e-189, 2.94e-430j | 
| 5.213828252125421726e-10 + 1.2743634214933820609e-1496j | 8.97e-162, 1.56e-402j | 
| -1.4375312127363262219e-09 - 1.0035747176449050635e-1495j | 1.54e-160, 2.68e-401j | 
| 9.5734062248492134642e-05 - 1.6486233440634549246e-1492j | 1.76e-149, 3.06e-390j | 
| 4.5101290643005911929e-20 + 9.3544425506598843551e-1506j | 1.23e-176, 2.14e-417j | 
| 6.2014818197817328432e-33 - 4.3151516569817560735e-1514j | 2.01e-186, 3.49e-427j | 
| 5.282149965683484796e-25 - 4.2387869185234031745e-1509j | 4.67e-181, 8.13e-422j | 
| 1.909683427187054146e-08 - 2.5697412738056737248e-1495j | 8.35e-162, 1.45e-402j | 
| 0.036024428155729333343 + 4.6546279046702400637e-1491j | 1.77e-141, 3.08e-382j | 
| 0.00091979741651710142102 - 3.4974667806678883756e-1492j | 3.01e-150, 5.24e-391j | 
| 1.2463245999364122473e-21 - 7.6808466399070156993e-1507j | 2.7e-178, 4.69e-419j | 
| 7.6454947719207563201e-06 - 5.6495992900623110796e-1492j | 5.48e-157, 9.54e-398j | 
| -1.9752596017830405714e-06 + 8.0793444854469269169e-1492j | 9.43e-158, 1.64e-398j | 
| 3.149433076522476024e-06 - 4.0651517515800773357e-1492j | 1.51e-158, 2.62e-399j | 
| 0.10112976270866277228 - 1.4335925302577063168e-1490j | 1.13e-143, 1.96e-384j | 
| 3.4414439175507857926e-11 - 2.8471419051300390011e-1498j | 1.11e-168, 1.93e-409j | 
| 8.7351949660795744421e-31 + 9.0216182254732636031e-1513j | 4.49e-188, 7.81e-429j | 
| 7.9126873379315561895e-27 + 2.7932715176894337001e-1510j | 2.13e-185, 3.71e-426j | 
| 2.1074073133052270911e-13 - 1.5807063865766921512e-1500j | 5.92e-174, 1.03e-414j | 
| 0.16248122381135837976 + 8.1611933445140397918e-1491j | 5.55e-152, 9.66e-393j | 
| 0.042932212196545571415 - 6.8364491159314596896e-1492j | 3.5e-152, 6.09e-393j | 
| 1.2626019055958326578e-37 - 6.4936274566824168546e-1517j | 1.64e-192, 2.85e-433j | 
| 0.020475855161568054783 - 2.7108420292401899586e-1491j | 3.63e-158, 6.32e-399j | 
| 1.2367769424067255081e-07 + 2.6215883199636590646e-1494j | 1.13e-166, 1.96e-407j | 
| 0.010026080950730518559 + 1.7477209849558369508e-1491j | 2.35e-159, 4.09e-400j | 
| 6.0729428392163723904e-43 - 4.8897670144876069474e-1520j | 4.44e-195, 7.72e-436j | 
| 1.359140788662173822e-18 - 1.0822457416724835827e-1504j | 6.89e-181, 1.2e-421j | 
| 9.4106564151469754674e-29 - 1.6741531039091279244e-1511j | 1.47e-187, 2.57e-428j | 
| 0.11898716851855615569 - 1.4420443114252704326e-1490j | 2.53e-163, 4.4e-404j | 
| 7.3678284214875392367e-16 - 1.3094404119752154943e-1502j | 4.01e-179, 6.98e-420j | 
| 0.10854911867973752646 + 1.6787776715166182183e-1490j | 1.48e-163, 2.57e-404j | 
| 0.11139889232930324634 + 2.1558975317121120294e-1491j | 1.73e-164, 3e-405j | 
| 0.15940045196958435249 - 4.1988751237196492626e-1491j | 1.71e-164, 2.98e-405j | 
| 3.2867062417786716106e-35 + 1.8053231651766551798e-1515j | 4.92e-192, 8.57e-433j | 
| 3.4398917080748898728e-17 + 1.2044620214064251447e-1503j | 2.47e-180, 4.3e-421j | 
All rules of Laguerre type can be downloaded here packed into a single file.