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) | 
|---|---|
| 171.98011435851273491 + 1.7462812619244957108e-2295j | 2.14e-1004, 2.14e-1004j | 
| 134.88782368792684887 + 2.4087393236610043584e-2297j | 1.65e-1000, 1.65e-1000j | 
| 117.65668861342030016 + 2.9340161554853596111e-2323j | 5.4e-999, 5.4e-999j | 
| 156.95383060369821954 + 1.0347724505424718565e-2343j | 9.16e-1003, 9.16e-1003j | 
| 125.84715890029944396 + 3.7186830696533965356e-2360j | 1.04e-999, 1.04e-999j | 
| 30.084701751889232079 + 3.9504109997884904425e-2382j | 3.76e-998, 3.76e-998j | 
| 145.07036994875330974 + 3.9966781302028517799e-2425j | 1.69e-1001, 1.69e-1001j | 
| 65.007782391453765277 + 1.0905048956533348409e-2479j | 2.13e-996, 2.13e-996j | 
| 12.802252846324662579 - 1.0983205298834971828e-2515j | 8.47e-1003, 8.47e-1003j | 
| 18.21338567013583716 + 4.1824741018342194998e-2510j | 1.9e-1000, 1.9e-1000j | 
| 5.5851793035623963442 - 3.3818650048263142866e-2529j | 6.45e-1007, 6.45e-1007j | 
| 22.874547108557592398 + 1.2679101563480549684e-2530j | 6.15e-999, 6.15e-999j | 
| 3.8343455071274751198 + 3.1025159198748012666e-2561j | 4.07e-1009, 4.07e-1009j | 
| 90.610106812775586318 + 1.7375661719173325089e-2590j | 3.36e-997, 3.36e-997j | 
| 96.6888594313743417 + 9.5674547560157816367e-2648j | 1.54e-997, 1.54e-997j | 
| 3.0188972456229421288 + 2.8763208130006117016e-2699j | 3.06e-1010, 3.06e-1010j | 
| 32.823234265053171035 - 5.6860532690262822806e-2693j | 8.15e-998, 8.15e-998j | 
| 16.310510530938949131 + 3.8430015604083290427e-2720j | 3.14e-1001, 3.14e-1001j | 
| 9.7500082014447782041 - 3.490091963304169007e-2743j | 2.68e-1004, 2.68e-1004j | 
| 69.583437502413353 - 8.2134271612569996664e-2738j | 1.94e-996, 1.94e-996j | 
| 25.069830484047890097 - 2.9732187214757018057e-2777j | 9.14e-999, 9.14e-999j | 
| 1.656095027511132326 - 3.8616771498463233492e-2810j | 3.05e-1012, 3.05e-1012j | 
| 103.17805301222012751 + 6.0204818067567002876e-2810j | 6.07e-998, 6.07e-998j | 
| 27.497016059460416648 - 1.0301054915284917262e-2835j | 1.78e-998, 1.78e-998j | 
| 79.503849284089274002 + 3.2698672975029308926e-2868j | 1.01e-996, 1.01e-996j | 
| 21.386110825520344838 - 1.3391293179456735577e-2894j | 3.87e-999, 3.87e-999j | 
| 1.2627083649697538623 - 2.1060244372388777921e-2930j | 3.66e-1012, 3.66e-1012j | 
| 110.13953929576455404 + 1.3801207282786025769e-2918j | 1.99e-998, 1.99e-998j | 
| 20.100257805743285241 - 5.7696932408314644769e-2960j | 1.39e-999, 1.39e-999j | 
| 60.66401409191319811 + 1.3059951254985003443e-2985j | 1.97e-996, 1.97e-996j | 
| 11.217580596169575199 + 1.0877873799562464513e-3032j | 1.45e-1003, 1.45e-1003j | 
| 14.501292642300796639 + 3.5151472163355193507e-3027j | 5.03e-1002, 5.03e-1002j | 
| 7.214526417044194217 + 2.6092961109907345307e-3036j | 1.01e-1005, 1.01e-1005j | 
| 56.537139166049036992 + 2.5226525266820396413e-3053j | 1.93e-996, 1.93e-996j | 
| 2.2942803602790417198 - 2.2414886404599990121e-3119j | 2.35e-1011, 2.35e-1011j | 
| 52.614238490697834737 - 7.8929162599677562673e-3118j | 1.4e-996, 1.4e-996j | 
| 74.40853490683410933 - 3.1228646089357677259e-3154j | 1.38e-996, 1.38e-996j | 
| 0.19096887426093690763 + 2.6599793231158404444e-3191j | 3.32e-1018, 3.32e-1018j | 
| 1.2340027043082441272 - 3.5994920849193460721e-3185j | 3.36e-1012, 3.36e-1012j | 
| 41.964217990879297493 - 7.5460058854258528462e-3170j | 4.44e-997, 4.44e-997j | 
| 48.884100521064765481 - 9.9716940198940706467e-3182j | 1.07e-996, 1.07e-996j | 
| 4.7217020025043729408 - 2.0231444086202134719e-3212j | 5.99e-1008, 5.99e-1008j | 
| 0.74417472753665332674 - 4.3719458252206065946e-3219j | 3.91e-1015, 3.91e-1015j | 
| 0.013993151608491287585 - 1.124499318577302411e-3245j | 6.91e-1021, 6.91e-1021j | 
| 38.758456826608755695 + 1.4046272588345665579e-3200j | 2.94e-997, 2.94e-997j | 
| 45.336944814012373843 - 2.5218770225188176382e-3223j | 7.47e-997, 7.47e-997j | 
| 35.713232334042475878 + 1.9143644227324005699e-3252j | 1.46e-997, 1.46e-997j | 
| 0.066279617940602109847 + 1.5362852405025784664e-3299j | 1.67e-1019, 1.67e-1019j | 
| 0.41577455678347908331 + 6.8473464073615585554e-3297j | 1.03e-1016, 1.03e-1016j | 
| 6.2899450829374791969 - 5.4619878910723525625e-3278j | 2.88e-1006, 2.88e-1006j | 
| 8.4063541772949054529 - 5.4817369992681005976e-3278j | 4.71e-1005, 4.71e-1005j | 
| 84.894277114286279284 + 8.6628691475217103388e-3276j | 6.21e-997, 6.21e-997j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.6314667825570449561e-74 - 7.2214617578452535386e-2365j | 6.06e-196, 7.52e-947j | 
| 2.5055648113164449168e-58 - 3.2023379598926489036e-2355j | 6.87e-191, 8.52e-942j | 
| 6.2536488985906728636e-51 - 3.0823291178329103202e-2352j | 1.6e-188, 1.98e-939j | 
| 8.9529708845097949015e-68 + 2.7717064160312028227e-2361j | 1.08e-194, 1.34e-945j | 
| 1.899853935113384873e-54 + 7.744518741707114169e-2354j | 5.02e-190, 6.23e-941j | 
| 2.2899309110039862429e-13 + 1.8553273057801579881e-2331j | 3.95e-165, 4.89e-916j | 
| 1.0821155662474077904e-62 - 2.885735618982933877e-2358j | 5.6e-193, 6.94e-944j | 
| 2.6092951681635139278e-28 + 1.9480094413964117494e-2340j | 4.9e-180, 6.08e-931j | 
| 4.5237189613736518733e-06 - 1.1447007902365874641e-2326j | 1.42e-150, 1.76e-901j | 
| 2.37856952219963037e-08 + 7.032877066465885689e-2328j | 4.99e-157, 6.18e-908j | 
| 0.0029070373682411251907 - 5.4465296422672287263e-2324j | 3.62e-137, 4.49e-888j | 
| 2.3104411543452826946e-10 - 6.2024252693876695173e-2329j | 3.17e-161, 3.93e-912j | 
| 0.018530656072934799443 - 9.122883759703270147e-2324j | 1.21e-131, 1.5e-882j | 
| 2.6222208082387939082e-39 - 2.3235205693608304777e-2346j | 1.2e-186, 1.49e-937j | 
| 6.3999751702128881544e-42 + 1.0112505177008973134e-2347j | 9.89e-188, 1.23e-938j | 
| 0.037672446899318843272 + 1.5492487466600323261e-2323j | 5.15e-132, 6.39e-883j | 
| 1.5643918647012675565e-14 - 2.9305093214637587697e-2332j | 8.44e-170, 1.05e-920j | 
| 1.5353306637881391912e-07 - 1.5933658564960380774e-2327j | 4.6e-158, 5.71e-909j | 
| 8.2049314674488212444e-05 - 1.0119215254665705772e-2325j | 3.36e-151, 4.17e-902j | 
| 2.8322839913999160411e-30 - 1.6107945672215966934e-2341j | 4.15e-183, 5.15e-934j | 
| 3.0252599805938645034e-11 + 8.0562231630068748044e-2330j | 1.41e-165, 1.74e-916j | 
| 0.11737722914076842327 + 1.2559976867657321574e-2322j | 1.34e-131, 1.66e-882j | 
| 1.0406213012128934389e-44 - 3.7383440166614767988e-2349j | 1.89e-189, 2.35e-940j | 
| 2.8708026768069662165e-12 - 1.1857371539721316434e-2330j | 1.13e-167, 1.41e-918j | 
| 1.5527773508461529765e-34 - 7.8958331923080303765e-2344j | 7.26e-186, 9.01e-937j | 
| 5.2500030315581433057e-10 + 2.3515518540461231209e-2328j | 1.5e-164, 1.86e-915j | 
| -0.43760629275543206611 - 1.9238164699667905638e-2321j | 3.66e-137, 4.54e-888j | 
| 1.0610380794666529548e-47 + 1.1638704896874795739e-2350j | 7.08e-191, 8.78e-942j | 
| 3.2287223085158022852e-09 - 4.1754535202098088835e-2328j | 3.46e-164, 4.29e-915j | 
| 1.9081067881153072065e-26 - 2.1325544541414403603e-2339j | 1.87e-182, 2.32e-933j | 
| 2.0512492261513221511e-05 + 3.3208439804752729078e-2326j | 1.27e-160, 1.57e-911j | 
| 8.8410577274647314896e-07 + 4.1311287872859833825e-2327j | 1.6e-162, 1.99e-913j | 
| 0.00080179354547590994721 - 1.1876212392568294902e-2324j | 3.07e-158, 3.81e-909j | 
| 1.1240103784323302978e-24 + 2.1294989737956959166e-2338j | 3.23e-182, 4.01e-933j | 
| 0.068385227079329315232 - 3.284641382181803871e-2323j | 3.21e-152, 3.98e-903j | 
| 5.4017288070709532645e-23 - 1.9535232628356389667e-2337j | 7.97e-182, 9.89e-933j | 
| 2.3985750180820069364e-32 + 1.1957452635733372496e-2342j | 2.01e-186, 2.49e-937j | 
| 0.14357656804865297164 - 8.2835811910156690317e-2323j | 2.34e-154, 2.9e-905j | 
| 0.56770781204985320914 + 1.8835220476027283965e-2321j | 1.21e-153, 1.51e-904j | 
| 1.9593631019616557428e-18 + 9.7086492219050534559e-2335j | 4.96e-180, 6.15e-931j | 
| 2.14122883806874934e-21 + 1.6576561453465934907e-2336j | 8.94e-182, 1.11e-932j | 
| 0.0080533592510025450589 + 6.5540768386985881329e-2324j | 3.48e-164, 4.31e-915j | 
| 0.1817048868447488406 - 1.0569323404999780569e-2322j | 7.86e-160, 9.75e-911j | 
| 0.032598159235065980094 - 3.2461942050608403798e-2323j | 3.06e-160, 3.79e-911j | 
| 4.5940716253508075041e-17 - 6.8009432163433540368e-2334j | 1.75e-179, 2.16e-930j | 
| 7.0683269234516401527e-20 - 1.3099491104007833229e-2335j | 2.37e-181, 2.94e-932j | 
| 9.1671249186630382663e-16 + 4.5441722892724905869e-2333j | 1.3e-178, 1.62e-929j | 
| 0.074394647039009838289 + 7.4875286201613743399e-2323j | 2.32e-164, 2.87e-915j | 
| 0.18212730031275573445 + 8.3668036502574013131e-2323j | 7.65e-165, 9.45e-916j | 
| 0.0013758667705532094479 + 3.4443932173272130105e-2324j | 5.16e-169, 6.38e-920j | 
| 0.00028515212915386738222 + 3.3123698824628844615e-2325j | 2.29e-170, 2.82e-921j | 
| 7.4986873115223595798e-37 + 4.5906842843042988289e-2345j | 1.29e-191, 1.61e-942j | 
All rules of Laguerre type can be downloaded here packed into a single file.