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) | 
|---|---|
| 185.31933379922163717 - 9.2644319279725325327e-2042j | 1.98e-1003, 1.98e-1003j | 
| 169.90025446761098907 + 1.0298548859603780242e-2034j | 1.1e-1001, 1.1e-1001j | 
| 129.42555858030063041 - 5.521356496845219085e-2033j | 8.84e-998, 8.84e-998j | 
| 147.20352477523465853 - 1.803050946216385669e-2040j | 2.1e-999, 2.1e-999j | 
| 157.68585429701093283 + 1.1317254414266679085e-2049j | 1.97e-1000, 1.97e-1000j | 
| 24.950425592239705313 + 6.7908674320188657263e-2065j | 5.89e-998, 5.89e-998j | 
| 12.755431708942418397 - 3.0135445657181658601e-2076j | 2.32e-1000, 2.32e-1000j | 
| 10.609250458207418466 - 2.3002139155474963856e-2078j | 9.26e-1003, 9.26e-1003j | 
| 121.65193312498060022 + 1.2094085415291732593e-2071j | 3.6e-997, 3.6e-997j | 
| 70.097376062687050779 - 2.1531045982767553516e-2098j | 1.04e-994, 1.04e-994j | 
| 27.23573439347614817 + 2.1429180857245052695e-2115j | 1.66e-997, 1.66e-997j | 
| 7.9509208918881512072 + 1.7478058118643426382e-2122j | 7.24e-1005, 7.24e-1005j | 
| 9.2206056582280395483 + 2.3331763287863283642e-2122j | 7.67e-1004, 7.67e-1004j | 
| 46.925435925679186168 - 1.5145958936820956601e-2112j | 2.84e-995, 2.84e-995j | 
| 32.171461361616046023 - 1.9113320540079316384e-2122j | 1.08e-996, 1.08e-996j | 
| 61.61738055696887465 + 7.5710892161864241899e-2134j | 8.91e-995, 8.91e-995j | 
| 53.918183857732307934 + 5.5898569169092331293e-2179j | 6.31e-995, 6.31e-995j | 
| 3.1570155819938148631 + 6.5519788767418122178e-2227j | 7.18e-1010, 7.18e-1010j | 
| 22.778539744627225471 - 5.1033116571923596056e-2212j | 1.89e-998, 1.89e-998j | 
| 137.88262798623687119 - 1.9426281081371066959e-2251j | 1.53e-998, 1.53e-998j | 
| 16.886646060861748393 - 3.080651092900334396e-2282j | 4.4e-1000, 4.4e-1000j | 
| 4.7673099177671066141 - 2.1453697793785658213e-2289j | 7.2e-1008, 7.2e-1008j | 
| 1.430101061529368292 - 3.2630648944514597318e-2290j | 3.58e-1013, 3.58e-1013j | 
| 15.101380116793933122 - 4.7007831241481429739e-2292j | 1.55e-1000, 1.55e-1000j | 
| 84.504337827359551345 + 1.9540635805403105047e-2331j | 5.04e-995, 5.04e-995j | 
| 101.39425838101312293 - 8.7491989855422987488e-2385j | 9.26e-996, 9.26e-996j | 
| 37.635559774303498222 - 5.4512092308729891818e-2417j | 5.17e-996, 5.17e-996j | 
| 0.64336829240185923307 - 5.4084385642009825113e-2452j | 1.17e-1015, 1.17e-1015j | 
| 2.5000206754193299535 + 1.9481418793109620227e-2449j | 6.41e-1011, 6.41e-1011j | 
| 20.714357062775040705 - 8.8632462427345184084e-2447j | 5.61e-999, 5.61e-999j | 
| 57.675277582882006787 + 3.3273982913213462521e-2505j | 8.02e-995, 8.02e-995j | 
| 79.455944932837411082 + 9.6338908526769850202e-2568j | 8.14e-995, 8.14e-995j | 
| 43.675239768081944574 - 3.127488137800904201e-2590j | 1.87e-995, 1.87e-995j | 
| 1.928704209731764729 - 5.5722802510374180146e-2627j | 5.5e-1012, 5.5e-1012j | 
| 40.580581347848660109 - 8.8493339399452890951e-2609j | 1.05e-995, 1.05e-995j | 
| 89.825763563440413557 + 8.3380694149233880176e-2659j | 3.38e-995, 3.38e-995j | 
| 6.7870329452902910753 + 1.619751763842016034e-2712j | 7.4e-1006, 7.4e-1006j | 
| 1 - 1.1064054041432798448e-2726j | 2.27e-1014, 2.27e-1014j | 
| 13.155459811411549988 + 2.2743215466859907938e-2707j | 1.97e-1000, 1.97e-1000j | 
| 65.754324277395464877 + 1.8427539907295437512e-2743j | 9.71e-995, 9.71e-995j | 
| 107.71024936112641952 + 3.9498618536918410471e-2824j | 3.75e-996, 3.75e-996j | 
| 34.834444209886613426 - 9.0583886891785170114e-2892j | 2.52e-996, 2.52e-996j | 
| 3.911199094806295407 - 4.6729388483151148478e-2946j | 7.13e-1009, 7.13e-1009j | 
| 74.659540832164030097 - 6.4075362940555770245e-2959j | 9.63e-995, 9.63e-995j | 
| 12.35199612685986194 - 6.5658258806593958715e-3004j | 8.35e-1001, 8.35e-1001j | 
| 95.445481027756775797 - 1.7207724968156797404e-2996j | 1.8e-995, 1.8e-995j | 
| 50.337457674618939796 + 1.5960822335530754789e-3010j | 4.53e-995, 4.53e-995j | 
| 0.091757419202714714556 + 8.5883028587892689609e-3042j | 4.33e-1019, 4.33e-1019j | 
| 0.18807558052466950658 - 5.7088574707027241672e-3041j | 6.13e-1018, 6.13e-1018j | 
| 18.75251539166561618 - 3.9124504502781211373e-3022j | 1.62e-999, 1.62e-999j | 
| 0.020727208186411494474 + 2.4301084431396562164e-3073j | 1.74e-1020, 1.74e-1020j | 
| 114.44181213613080926 - 1.163130086052136929e-3020j | 1.31e-996, 1.31e-996j | 
| 29.640633213967054313 - 9.1421599525315758759e-3034j | 4.37e-997, 4.37e-997j | 
| 5.725998207999312916 - 3.8197360271898994629e-3044j | 7.04e-1007, 7.04e-1007j | 
| 0.36866340472364444637 - 1.7101314758874331907e-3054j | 7.48e-1017, 7.48e-1017j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 5.9947385153128089565e-80 + 1.4133810500631460607e-2102j | 1.38e-189, 4.77e-942j | 
| 2.192809771652577402e-73 - 5.1512277212864130084e-2099j | 1.1e-187, 3.8e-940j | 
| 5.0029039663336318408e-56 + 1.4619250378456762691e-2088j | 1.56e-182, 5.37e-935j | 
| 1.1566489747403913313e-63 - 1.4547430501728693032e-2093j | 2.82e-185, 9.74e-938j | 
| 3.6958682707516084821e-68 + 3.9991195442063244239e-2096j | 1.21e-186, 4.19e-939j | 
| 3.2509112477749960125e-11 + 4.8684792143039590279e-2065j | 1.67e-150, 5.78e-903j | 
| -1.4953882006361283235e-05 - 4.7279087937384732396e-2060j | 1.02e-136, 3.51e-889j | 
| 3.6101370992173007585e-05 - 9.0759887374292424927e-2061j | 4.45e-133, 1.54e-885j | 
| 1.098675538395427888e-52 - 2.1063715119088932156e-2087j | 2.97e-182, 1.03e-934j | 
| 1.6050315238320836673e-30 + 2.8645114790543765088e-2076j | 8.15e-173, 2.81e-925j | 
| 3.4804693050277932036e-12 - 1.1550376781811309194e-2065j | 2.1e-153, 7.26e-906j | 
| 0.0004284191791980706791 - 2.0622033612716553474e-2060j | 1.65e-130, 5.71e-883j | 
| 0.00013115393963038828926 + 1.2629795072344532405e-2060j | 7.87e-133, 2.72e-885j | 
| 1.3899165786881929015e-20 + 9.8737801300539846314e-2071j | 1.22e-165, 4.22e-918j | 
| 2.7694765056152301927e-14 - 5.5837653908918283372e-2067j | 4.57e-158, 1.58e-910j | 
| 7.0154195794911384788e-27 + 2.7880652764923249824e-2074j | 2.76e-171, 9.54e-924j | 
| 1.4060709968132226893e-23 + 1.9340325010959327403e-2072j | 1.14e-168, 3.92e-921j | 
| 0.029967623979228583556 + 3.3646252719387374751e-2059j | 3.51e-123, 1.21e-875j | 
| 2.7111424177908893174e-10 - 1.9726229980450571033e-2064j | 6.67e-153, 2.3e-905j | 
| 1.1624424690191803573e-59 + 3.9202754151443563291e-2091j | 6.19e-187, 2.14e-939j | 
| 8.4445589632379028587e-08 + 1.2648845478433895407e-2062j | 5.55e-149, 1.92e-901j | 
| 0.0077161536012004066333 + 1.1279352240384123918e-2059j | 2.75e-132, 9.5e-885j | 
| 0.11117511346447624583 - 1.0133208575328106531e-2058j | 2.1e-117, 7.25e-870j | 
| 4.8642239375887930875e-07 - 6.1549889019884727956e-2062j | 3.45e-147, 1.19e-899j | 
| 1.0343159707869072277e-36 - 1.4459666355597453784e-2079j | 3.47e-179, 1.2e-931j | 
| 5.6514474528191766519e-44 + 2.6627954117715415503e-2083j | 6.37e-183, 2.2e-935j | 
| 1.2980341851498421018e-16 - 2.1367230717990026753e-2068j | 1.25e-164, 4.33e-917j | 
| 0.16671073251042188444 - 1.5879244377139452451e-2058j | 3.69e-125, 1.27e-877j | 
| 0.05021420880660147188 - 5.3252998361143636154e-2059j | 4.67e-131, 1.61e-883j | 
| 2.0301233562461078662e-09 + 7.7930598394923393379e-2064j | 1e-154, 3.45e-907j | 
| 3.4449883762523001162e-25 - 2.4172469222495991399e-2073j | 1.36e-171, 4.69e-924j | 
| 1.5297317994155472201e-34 + 2.0156139782112945623e-2078j | 2.42e-178, 8.36e-931j | 
| 3.4145851204325662142e-19 - 6.3394810474021659456e-2070j | 1.06e-167, 3.67e-920j | 
| 0.077504813752342185409 + 7.6764192008336899626e-2059j | 2.29e-136, 7.9e-889j | 
| 7.1766706996266829145e-18 + 3.8033046327399861544e-2069j | 1.14e-166, 3.95e-919j | 
| 5.3312923212792003221e-39 + 9.2691914559531959662e-2081j | 1.26e-181, 4.35e-934j | 
| 0.0012549717478928243093 + 3.5711127118752483987e-2060j | 5.92e-150, 2.05e-902j | 
| 0.14517573611277010286 + 1.2701764280245654369e-2058j | 8.3e-139, 2.86e-891j | 
| 7.9864191539565989409e-06 + 2.0125783862196368315e-2060j | 2.51e-154, 8.67e-907j | 
| 1.1760325748033179677e-28 - 2.9550496776768665693e-2075j | 2.8e-175, 9.67e-928j | 
| 1.086241128402538267e-46 - 1.1939560048600224158e-2084j | 2.66e-186, 9.17e-939j | 
| 2.032013312127267391e-15 + 1.1263969384559307905e-2067j | 3.63e-167, 1.25e-919j | 
| 0.016109990903083578772 - 1.984200929417506391e-2059j | 8.12e-152, 2.8e-904j | 
| 1.7607604202037993059e-32 - 2.5263302359655730186e-2077j | 3.12e-178, 1.08e-930j | 
| 1.6943421293380397993e-05 + 3.1779150240545784134e-2060j | 6.64e-158, 2.29e-910j | 
| 2.0435031439579694295e-41 - 5.279479618459185647e-2082j | 1.39e-183, 4.78e-936j | 
| 4.8104755947555567862e-22 - 1.4334112517907461494e-2071j | 1.71e-172, 5.89e-925j | 
| 0.073406483683288786573 + 1.9494342308244933931e-2058j | 4.41e-155, 1.52e-907j | 
| 0.10720961052644875871 - 2.5909815069609769043e-2058j | 5.18e-155, 1.79e-907j | 
| 1.3724551758374756308e-08 - 3.0726155850865839252e-2063j | 1.47e-163, 5.09e-916j | 
| 0.050409536656655059125 - 5.467861014938645135e-2059j | 4.54e-156, 1.57e-908j | 
| 1.3838481547490621267e-49 + 4.8957424941295084019e-2086j | 3.38e-188, 1.17e-940j | 
| 3.306526824428930459e-13 + 2.6100623086157178317e-2066j | 3.18e-167, 1.1e-919j | 
| 0.0032922971491135891514 - 6.3317573947757271719e-2060j | 3.76e-160, 1.3e-912j | 
| 0.15924648972809206883 + 2.0740167030142233459e-2058j | 5.94e-158, 2.07e-910j | 
All rules of Laguerre type can be downloaded here packed into a single file.