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) | 
|---|---|
| 179.49004112641252265 - 2.6105509128691973917e-2159j | 3.11e-1004, 3.11e-1004j | 
| 151.4386892266670393 - 1.1569637959110069325e-2155j | 3.12e-1001, 3.12e-1001j | 
| 163.77798916613745605 - 9.4226494603363585645e-2158j | 1.56e-1002, 1.56e-1002j | 
| 131.56573815569170774 + 1.7315703155712155155e-2151j | 2.21e-999, 2.21e-999j | 
| 123.11786680162866341 + 2.6747180449311258923e-2156j | 1.15e-998, 1.15e-998j | 
| 16.317777875280653778 + 1.4948288882765525156e-2172j | 4.38e-1001, 4.38e-1001j | 
| 95.253335431099332443 + 5.1937535916011211512e-2167j | 7.74e-997, 7.74e-997j | 
| 20.249362409281220613 - 2.0006933363107701936e-2186j | 3.37e-999, 3.37e-999j | 
| 27.323594806273701076 - 2.8078655606183119023e-2183j | 3.05e-998, 3.05e-998j | 
| 11.216457343676777944 - 5.2109598208770700238e-2192j | 1.83e-1003, 1.83e-1003j | 
| 24.886861090416336276 - 1.0141566118692913236e-2186j | 1.61e-998, 1.61e-998j | 
| 108.19852013369276402 + 3.9243899986004530685e-2184j | 1.33e-997, 1.33e-997j | 
| 3.8343455071274751198 - 2.3939580904195704493e-2215j | 4.24e-1009, 4.24e-1009j | 
| 12.800686624585077831 - 6.2658994221798135831e-2209j | 1.12e-1002, 1.12e-1002j | 
| 115.3703159959694064 + 5.4253964223017717894e-2202j | 4.56e-998, 4.56e-998j | 
| 7.2167962098831444413 + 2.1833732447375489272e-2225j | 1.26e-1005, 1.26e-1005j | 
| 140.90203015169048824 + 1.0999865139960827426e-2214j | 3.19e-1000, 3.19e-1000j | 
| 8.4076286954266146317 - 8.0011751684544511192e-2240j | 6.09e-1005, 6.09e-1005j | 
| 4.7205449648958142575 + 6.3554085017424761563e-2243j | 6.47e-1008, 6.47e-1008j | 
| 3.0191673301420025746 - 1.3441213695988121376e-2244j | 3.07e-1010, 3.07e-1010j | 
| 83.810485978056358161 + 4.4527277008818409041e-2230j | 2.54e-996, 2.54e-996j | 
| 89.365071586571317913 + 1.3264792703191149804e-2247j | 1.42e-996, 1.42e-996j | 
| 6.2899450829374791969 - 1.3489668745224652542e-2267j | 3.28e-1006, 3.28e-1006j | 
| 0.065989249590369655405 - 2.6007867177487515341e-2281j | 1.54e-1019, 1.54e-1019j | 
| 35.490206733977178814 + 3.4561250836814028075e-2257j | 2.75e-997, 2.75e-997j | 
| 0.19065824475498282217 + 5.1121373744861846985e-2291j | 3.39e-1018, 3.39e-1018j | 
| 101.51453977849414951 + 2.7280032159522187023e-2269j | 3.64e-997, 3.64e-997j | 
| 1.6544655524259320062 + 3.7443791925303374269e-2297j | 3.44e-1012, 3.44e-1012j | 
| 29.902839881782277929 + 2.4135092515340037597e-2279j | 6.66e-998, 6.66e-998j | 
| 0.41577455678347908331 + 5.8357934724814111986e-2313j | 7.46e-1017, 7.46e-1017j | 
| 5.5818282895833557182 + 1.8990515949288228674e-2303j | 7.11e-1007, 7.11e-1007j | 
| 18.246772270957808884 - 5.0565417183880984058e-2293j | 2.87e-1000, 2.87e-1000j | 
| 9.7500082014447782041 - 1.0652422874888127659e-2305j | 3.25e-1004, 3.25e-1004j | 
| 1.240450626433030897 - 1.1764451252698936936e-2314j | 4.59e-1012, 4.59e-1012j | 
| 38.506175509759077961 - 1.8239073951015614e-2297j | 5.17e-997, 5.17e-997j | 
| 1.2627083649697538623 + 1.6575865364606932048e-2340j | 5.25e-1012, 5.25e-1012j | 
| 32.623957615043232526 - 1.3977245954307450429e-2323j | 1.32e-997, 1.32e-997j | 
| 22.625377909880118239 - 1.3411223188785376187e-2337j | 1.28e-998, 1.28e-998j | 
| 21.386110825520344838 - 2.243688375383930524e-2353j | 1.01e-998, 1.01e-998j | 
| 2.2942803602790417198 + 9.3888629829490693538e-2386j | 2.35e-1011, 2.35e-1011j | 
| 14.501292642300796639 + 5.8339550041307013272e-2381j | 6.79e-1002, 6.79e-1002j | 
| 0.013993151608491287585 + 4.1271217181361925904e-2402j | 6.29e-1021, 6.29e-1021j | 
| 0.74475530457750882059 - 1.6236706493316522411e-2403j | 3.76e-1015, 3.76e-1015j | 
| 60.108479380854460126 - 3.8047493554617872192e-2448j | 4.94e-996, 4.94e-996j | 
| 52.187924745540839911 - 3.6793295816302891301e-2554j | 3.37e-996, 3.37e-996j | 
| 68.859491569897985869 + 4.3972744954025341895e-2684j | 5.42e-996, 5.42e-996j | 
| 41.677304534892144722 + 1.5701849262147356143e-2844j | 8.96e-997, 8.96e-997j | 
| 64.373683275658997656 + 6.9575903752797364917e-2965j | 5.92e-996, 5.92e-996j | 
| 56.050448853317753068 + 1.4388808096120640439e-3037j | 4.44e-996, 4.44e-996j | 
| 73.581491764022659214 - 2.1553339827748467456e-3086j | 4.79e-996, 4.79e-996j | 
| 48.510702534573329921 + 6.0624430247128482129e-3118j | 2.26e-996, 2.26e-996j | 
| 78.55794575111294384 + 5.9090903014470972668e-3136j | 3.57e-996, 3.57e-996j | 
| 45.009805886577704895 - 2.3805509690621827205e-3146j | 1.49e-996, 1.49e-996j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.0912419274508139476e-77 + 7.6288805962184403786e-2220j | 7.63e-192, 1.34e-943j | 
| 1.9230137493242682326e-65 + 2.3275542778678961915e-2213j | 2.1e-188, 3.7e-940j | 
| 1.0131775369928213435e-70 - 2.8599539314337098045e-2216j | 4.85e-190, 8.54e-942j | 
| 6.4392058120311727242e-57 - 5.7420799865586534725e-2208j | 3.32e-186, 5.85e-938j | 
| 2.7391676891190417725e-53 + 9.7430283806683659519e-2207j | 3.44e-185, 6.06e-937j | 
| 1.5347289561484149466e-07 - 1.1559268398190588968e-2179j | 7.28e-147, 1.28e-898j | 
| 2.6001998973493731026e-41 + 3.1540818212887624705e-2201j | 2.22e-181, 3.92e-933j | 
| 3.1470581665098613769e-09 + 1.7916319080004334564e-2180j | 1.39e-151, 2.45e-903j | 
| 3.4117046279337531498e-12 + 1.6522470112533319028e-2183j | 4.61e-158, 8.11e-910j | 
| 2.0523263048046861731e-05 + 9.6183406678027597491e-2179j | 3.23e-142, 5.69e-894j | 
| 3.6734628966561807215e-11 - 1.5697603870370906806e-2182j | 4.02e-156, 7.08e-908j | 
| 7.0762191792887084758e-47 + 7.0771173384899657535e-2204j | 1.72e-184, 3.03e-936j | 
| 0.018517522536552802942 - 1.105260916427914062e-2176j | 3.93e-127, 6.92e-879j | 
| 4.5314408478881783934e-06 - 4.7782867400630615457e-2179j | 4.46e-146, 7.85e-898j | 
| 5.8483200845814293553e-50 - 2.6464428940450681587e-2205j | 1.7e-185, 2.99e-937j | 
| 0.00079970035564452737606 - 1.9348440831120366241e-2177j | 2.18e-139, 3.84e-891j | 
| 6.3284732210976255874e-61 - 1.0339390187061312787e-2210j | 9.3e-190, 1.64e-941j | 
| 0.00028450967953255771561 + 6.223073460535125438e-2178j | 4.45e-142, 7.83e-894j | 
| 0.0080460734902940041687 + 8.5250288805129172482e-2177j | 2.43e-134, 4.27e-886j | 
| 0.037662907038222396134 + 1.7646143906424595111e-2176j | 7.85e-129, 1.38e-880j | 
| 2.1570836811220171943e-36 + 6.235724998386536072e-2199j | 4.31e-182, 7.59e-934j | 
| 8.8369821807757831225e-39 - 4.993584278543996508e-2200j | 1.11e-182, 1.96e-934j | 
| 0.0013860288670746736919 + 5.0966346544931463151e-2177j | 2.92e-141, 5.14e-893j | 
| 0.074151953046051517216 + 7.003482394933427202e-2176j | 7.35e-130, 1.29e-881j | 
| 1.1354966846812839066e-15 - 3.2066399969916063111e-2186j | 1.68e-169, 2.97e-921j | 
| 0.14377919412758593442 - 7.7624746548363738957e-2176j | 6.48e-130, 1.14e-881j | 
| 5.2874212076098072396e-44 - 1.6337341483004501146e-2202j | 1.57e-184, 2.77e-936j | 
| 0.11852440620429537345 + 1.327498302397318168e-2175j | 4.08e-131, 7.18e-883j | 
| 2.7325957378446052939e-13 - 1.9979742164519181569e-2184j | 3.32e-166, 5.84e-918j | 
| 0.18240514874195521596 + 7.924954011330214657e-2176j | 4.56e-131, 8.03e-883j | 
| 0.0029131077699713877578 - 7.5881305273553770984e-2177j | 3.72e-143, 6.54e-895j | 
| 2.3572050500565884626e-08 - 5.2290988452042132216e-2180j | 1.18e-158, 2.08e-910j | 
| 8.1976278899969817179e-05 - 2.2859644334399509013e-2178j | 1.75e-150, 3.08e-902j | 
| 0.73881136573159664026 + 2.4664790101989987715e-2174j | 1.15e-134, 2.02e-886j | 
| 5.8519567246063757205e-17 + 3.9687977859641784271e-2187j | 7.2e-172, 1.27e-923j | 
| -0.61032246585503176431 - 2.5140555582129927377e-2174j | 1.39e-135, 2.44e-887j | 
| 1.8952494985118988864e-14 + 2.5288282585089059391e-2185j | 3.08e-168, 5.42e-920j | 
| 3.1439064024931902697e-10 + 2.2717884703718013864e-2181j | 1.26e-162, 2.22e-914j | 
| 2.1028622625947484546e-10 - 9.7240289326348030808e-2181j | 9.24e-162, 1.63e-913j | 
| 0.068442753111316984269 - 3.5580533430394787366e-2176j | 2.77e-145, 4.88e-897j | 
| 8.8583891787427213329e-07 + 3.3097814137498584357e-2179j | 2.47e-158, 4.35e-910j | 
| 0.032499013154947563813 - 3.0412193765669502361e-2176j | 1.92e-141, 3.39e-893j | 
| 0.18199068442115551521 - 1.0199184928465507947e-2175j | 1.91e-142, 3.35e-894j | 
| 3.267864868548447663e-26 + 3.2892218992372840759e-2193j | 1.36e-182, 2.39e-934j | 
| 8.1510885613372735379e-23 + 5.2187460995504150823e-2191j | 1.67e-180, 2.94e-932j | 
| 5.7222227878720057337e-30 + 7.6428138925731994318e-2196j | 3.08e-185, 5.42e-937j | 
| 2.5808067026324789344e-18 - 4.7066233816524096903e-2188j | 5.09e-177, 8.96e-929j | 
| 4.8267438929234464156e-28 - 1.9668583890490968642e-2194j | 3.17e-184, 5.58e-936j | 
| 1.7993928844892250112e-24 - 4.4512164645005217566e-2192j | 2.94e-182, 5.18e-934j | 
| 5.3621781393128700057e-32 + 9.8387648964525276124e-2198j | 5.39e-187, 9.49e-939j | 
| 3.0681765953763272823e-21 - 5.4810337934015170388e-2190j | 5.77e-181, 1.02e-932j | 
| 3.9010979300281105609e-34 - 5.3954795271748890234e-2198j | 1.87e-188, 3.3e-940j | 
| 9.681406914337113523e-20 + 5.2669690573639918544e-2189j | 4.85e-180, 8.53e-932j | 
All rules of Laguerre type can be downloaded here packed into a single file.