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.
    
| Node (ball center) | Error (ball radius) | 
|---|---|
| 210.7757201597874654 + 1.5552441985918086044e-2513j | 1.15e-998, 1.15e-998j | 
| 227.35894752014795586 + 1.8846345928273001289e-2518j | 1.55e-1000, 1.55e-1000j | 
| 186.20649100356740732 - 1.1192670393932610226e-2507j | 4.26e-996, 4.26e-996j | 
| 176.05169903646661623 + 8.5807871662125149643e-2510j | 3.94e-995, 3.94e-995j | 
| 85.892067846161293611 + 4.5010097475127046317e-2525j | 6.79e-990, 6.79e-990j | 
| 11.530443342072311915 + 1.0882777022557350319e-2560j | 1.82e-1001, 1.82e-1001j | 
| 197.57944640938005942 + 1.369051936685203211e-2548j | 3.23e-997, 3.23e-997j | 
| 81.448033083100351033 - 5.7067104927736594175e-2550j | 6.63e-990, 6.63e-990j | 
| 17.692238306276929176 + 6.1379759226220205649e-2574j | 2.33e-998, 2.33e-998j | 
| 158.25969771904024956 - 2.3165552130972628644e-2565j | 1.55e-993, 1.55e-993j | 
| 129.1584617043190884 + 6.1253930542051200642e-2579j | 2.03e-991, 2.03e-991j | 
| 54.771273025227816109 + 1.9317348115810123138e-2591j | 6.39e-991, 6.39e-991j | 
| 42.494015615417947848 + 1.6653763758413984403e-2602j | 2.63e-992, 2.63e-992j | 
| 65.323318941812474583 - 1.2452098797445937339e-2612j | 2.71e-990, 2.71e-990j | 
| 5.7766549012239696368 + 1.4691570438291309998e-2658j | 7.58e-1006, 7.58e-1006j | 
| 4.8815190434135835591 - 2.1955260703164078023e-2659j | 9.44e-1007, 9.44e-1007j | 
| 23.267271963637416138 + 7.1583546405334477602e-2647j | 2.12e-996, 2.12e-996j | 
| 12.938372921524315065 - 5.9357944027908901879e-2653j | 1.24e-1000, 1.24e-1000j | 
| 166.79976168729874477 + 7.9091581244306032792e-2642j | 2.96e-994, 2.96e-994j | 
| 29.704418019624644281 - 2.5195557665728200038e-2666j | 1.23e-994, 1.23e-994j | 
| 16.018134792089208616 - 1.4932296468826471607e-2682j | 4.41e-999, 4.41e-999j | 
| 37.055002065033130751 - 6.2296169155170174494e-2673j | 3.64e-993, 3.64e-993j | 
| 95.338835355125762598 + 1.4478847023612853947e-2738j | 5.64e-990, 5.64e-990j | 
| 135.8128823919047039 - 2.9493512095955593211e-2838j | 8.17e-992, 8.17e-992j | 
| 100.36454566401880459 - 3.2259811754176888214e-2913j | 4.28e-990, 4.28e-990j | 
| 1 + 6.9269364285532140394e-2986j | 6.53e-1014, 6.53e-1014j | 
| 34.499645187307536692 + 2.4632462548929462246e-2962j | 1.35e-993, 1.35e-993j | 
| 58.15326194485639421 + 5.9598141269575843852e-3001j | 1.08e-990, 1.08e-990j | 
| 10.20914861133068909 + 2.9961765062414036207e-3062j | 2.69e-1002, 2.69e-1002j | 
| 105.60992085199799262 - 1.9891889055167554289e-3105j | 2.73e-990, 2.73e-990j | 
| 73.070978406075038797 - 1.385903511654584989e-3222j | 5.41e-990, 5.41e-990j | 
| 7.8232631436879996743 - 7.8514544023675954705e-3284j | 5.15e-1004, 5.15e-1004j | 
| 2.3193935741149708798 + 1.1151515606404929671e-3292j | 3.68e-1010, 3.68e-1010j | 
| 122.84083677134154111 - 3.201141998185932418e-3329j | 4.89e-991, 4.89e-991j | 
| 21.315352724058560953 - 2.7633246115356400707e-3378j | 5.13e-997, 5.13e-997j | 
| 116.82736588051170957 - 3.8307005536696401623e-3393j | 9.57e-991, 9.57e-991j | 
| 8.9736463332023372571 + 9.5790745702709604001e-3437j | 4.1e-1003, 4.1e-1003j | 
| 4.0757166343200668382 + 8.2393922771907653829e-3442j | 1.31e-1007, 1.31e-1007j | 
| 25.314897166937965325 + 7.0660870643062379162e-3429j | 9.39e-996, 9.39e-996j | 
| 111.09120197690872647 - 1.5116109494660499862e-3422j | 1.73e-990, 1.73e-990j | 
| 2.7883138437554260945 - 1.4108202573769406622e-3451j | 2.53e-1009, 2.53e-1009j | 
| 61.668932494646222969 + 1.6443462356715847577e-3431j | 1.7e-990, 1.7e-990j | 
| 0.38485818474670956007 + 5.2639883242198196003e-3465j | 1e-1016, 1e-1016j | 
| 32.050240278591766975 - 5.5795653987755416045e-3442j | 4.35e-994, 4.35e-994j | 
| 48.390379062695325895 + 1.9503183699759103373e-3438j | 1.43e-991, 1.43e-991j | 
| 19.45751146766909431 - 5.7659874542048068738e-3455j | 1.05e-997, 1.05e-997j | 
| 150.30457806332050164 - 4.0602002173357882578e-3447j | 7.18e-993, 7.18e-993j | 
| 6.757583189418260011 - 1.2857371500249502652e-3474j | 6.29e-1005, 6.29e-1005j | 
| 0.65733225281898801781 - 1.118101365188386705e-3483j | 3.16e-1015, 3.16e-1015j | 
| 0.0024250677112708865824 + 7.2648019751548726682e-3490j | 9.9e-1022, 9.9e-1022j | 
| 1.861013236347602836 - 3.0106592324690424629e-3480j | 2.76e-1011, 2.76e-1011j | 
| 90.518754058714674544 + 4.9768754534730874724e-3457j | 6.28e-990, 6.28e-990j | 
| 45.383435510529064135 - 1.9733988114789416039e-3469j | 6.46e-992, 6.46e-992j | 
| 0.18449965117564237439 + 4.4665204267887214323e-3496j | 3.64e-1018, 3.64e-1018j | 
| 1.4071378512414880322 - 5.0128813404137102936e-3490j | 1.66e-1012, 1.66e-1012j | 
| 14.433909000306801864 - 1.3760814652651490045e-3477j | 7.18e-1000, 7.18e-1000j | 
| 142.84452325724100659 - 1.0585141303935158001e-3468j | 2.74e-992, 2.74e-992j | 
| 69.121961518543824013 + 1.0849422008573220966e-3466j | 3.91e-990, 3.91e-990j | 
| 0.056897625001077184683 - 2.6648351505019446071e-3506j | 9.52e-1020, 9.52e-1020j | 
| 3.369839231310923141 + 2.3219686526393290366e-3495j | 1.61e-1008, 1.61e-1008j | 
| 27.459982535533175003 + 4.4130678432490765535e-3481j | 3.91e-995, 3.91e-995j | 
| 51.518376921733708233 + 1.2178375925075997669e-3475j | 3.14e-991, 3.14e-991j | 
| 77.177151995064351921 + 2.509535778939692633e-3487j | 6.14e-990, 6.14e-990j | 
| 39.718869863701026001 - 1.2062186314601072743e-3504j | 1.04e-992, 1.04e-992j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 4.1848211705567850115e-91 - 2.8793803760668696863e-2591j | 1.08e-175, 5.71e-923j | 
| 3.5546978508744629796e-98 + 6.6083688605006049433e-2595j | 5.68e-178, 3.01e-925j | 
| 1.4479789143155730882e-80 - 7.9524785865227409957e-2586j | 4.74e-173, 2.51e-920j | 
| 3.3641794394711307143e-76 + 1.4619336604805790837e-2583j | 5.47e-172, 2.9e-919j | 
| 2.2594349683076957519e-37 - 5.2631925786597235162e-2562j | 5.6e-156, 2.97e-903j | 
| 1.3407658372685042267e-05 + 2.3074876789612809685e-2546j | 7.66e-107, 4.06e-854j | 
| 1.8909518860545089761e-85 + 2.3880191966878713339e-2588j | 8.7e-175, 4.61e-922j | 
| 1.8477932963215755905e-35 + 2.241880727154084457e-2561j | 5.79e-155, 3.06e-902j | 
| 3.5624738660116927957e-08 + 6.5642874584634507644e-2548j | 6.76e-120, 3.58e-867j | 
| 1.5278941838073805306e-68 + 1.4555558896795816204e-2579j | 1.36e-170, 7.2e-918j | 
| 5.2332163702821468178e-56 + 6.1214031051487682385e-2573j | 1.39e-166, 7.35e-914j | 
| 5.4180890381257029558e-24 - 3.1540499151086103926e-2556j | 5.05e-148, 2.68e-895j | 
| 9.9343724804820398199e-19 - 1.4218753338368218937e-2553j | 5.79e-143, 3.07e-890j | 
| 1.590863532235708618e-28 + 1.981981765399519818e-2558j | 8.77e-152, 4.64e-899j | 
| 0.0029079628103863864466 - 1.0616479965386528652e-2544j | 1.88e-101, 9.95e-849j | 
| 0.006458359861849449173 + 2.2068494943305611869e-2544j | 4.1e-98, 2.17e-845j | 
| 1.5706215740898318839e-10 - 3.104963664229101633e-2549j | 6.24e-131, 3.3e-878j | 
| 3.4895658344617429777e-06 - 9.9609638753137975681e-2547j | 2.08e-118, 1.1e-865j | 
| 3.2191691916864808017e-72 - 1.7439491701202900301e-2581j | 8.41e-173, 4.45e-920j | 
| 2.8858621321829746456e-13 + 1.0202464084902896636e-2550j | 1.16e-136, 6.14e-884j | 
| 1.8002065802271798494e-07 - 1.6830052849437358189e-2547j | 9.26e-124, 4.91e-871j | 
| 2.1072657726278180131e-16 - 2.2652356603971129134e-2552j | 3.15e-141, 1.67e-888j | 
| 1.9359690183924816633e-41 + 8.5160621402557929277e-2565j | 9.45e-162, 5e-909j | 
| 7.111905649139929622e-59 - 1.8133427926130507812e-2574j | 5.13e-170, 2.71e-917j | 
| 1.3261903363026713678e-43 - 4.258406780840766556e-2566j | 2.11e-163, 1.12e-910j | 
| 0.13847721977490434151 - 2.0585119758021239597e-2543j | 2.98e-110, 1.58e-857j | 
| 2.6018167225323145746e-15 + 8.4316487317295931051e-2552j | 7.09e-143, 3.76e-890j | 
| 1.9139484025705080476e-25 + 6.0753719250640686395e-2557j | 6.63e-153, 3.51e-900j | 
| 4.7081013329777100162e-05 - 5.1887851232148078418e-2546j | 1.69e-124, 8.97e-872j | 
| 7.3011696136502691512e-46 + 2.1479415995670095954e-2567j | 4.28e-165, 2.27e-912j | 
| 7.4232605912595596638e-32 + 5.8004805251050017867e-2560j | 4.18e-158, 2.21e-905j | 
| 0.00044354348196925232576 - 2.4299037189930382735e-2545j | 2.37e-124, 1.26e-871j | 
| 0.04418263063251271956 + 2.5406926638253618554e-2543j | 2.84e-110, 1.5e-857j | 
| 2.7575829676179631857e-53 - 1.7744528933739084712e-2571j | 3.25e-169, 1.72e-916j | 
| 1.0535812812086880995e-09 + 8.9270542812637839922e-2549j | 1.06e-139, 5.59e-887j | 
| 1.0745167882727039583e-50 + 4.5118929849494535465e-2570j | 2.53e-168, 1.34e-915j | 
| 0.00015114018352194285664 + 1.1358837062371675883e-2545j | 1.82e-129, 9.61e-877j | 
| 0.012881274709645183813 - 4.6428101902679559026e-2544j | 2.84e-122, 1.51e-869j | 
| 2.1246230667327339183e-11 + 1.0370729740906352825e-2549j | 3.03e-143, 1.61e-890j | 
| 3.1790901291154985607e-48 - 1.0277286136384014627e-2568j | 3.32e-167, 1.76e-914j | 
| 0.031550747626666763334 - 1.867836469815395668e-2543j | 5.67e-122, 3.01e-869j | 
| 5.9143773067239347739e-27 - 1.1192788433817067131e-2557j | 3.89e-157, 2.06e-904j | 
| 0.16100866712912174964 - 1.7178667817286277018e-2543j | 1.1e-119, 5.82e-867j | 
| 2.8871401726752904586e-14 - 2.9990106040296700662e-2551j | 1.18e-147, 6.23e-895j | 
| 2.9581416473763252131e-21 - 7.3752685601622078893e-2555j | 1.77e-154, 9.36e-902j | 
| 6.4225002817918157026e-09 - 2.4674437963363128095e-2548j | 4.91e-142, 2.6e-889j | 
| 4.0714828212740826502e-65 - 9.1265705662320042212e-2578j | 8.48e-177, 4.49e-924j | 
| 0.0011891891505108560531 + 5.1059839837319134676e-2545j | 5.85e-135, 3.1e-882j | 
| 0.15965423926167066722 + 1.8951747673532458977e-2543j | 1.72e-126, 9.1e-874j | 
| 0.017373244575520178934 + 4.5857078828290783626e-2544j | 4.01e-127, 2.12e-874j | 
| 0.072284174182622204826 - 2.5353982418997822008e-2543j | 7.91e-129, 4.19e-876j | 
| 2.3029397792540731572e-39 - 2.0505380213988225949e-2563j | 2.58e-164, 1.36e-911j | 
| 5.7503667505164108683e-20 + 3.3173087477858602862e-2554j | 2.43e-154, 1.29e-901j | 
| 0.13639901516806990799 + 1.4799084356421049425e-2543j | 8.99e-130, 4.76e-877j | 
| 0.10656797180424695922 + 2.2649179119119178426e-2543j | 1e-131, 5.3e-879j | 
| 8.2959609429779140098e-07 + 4.1644415594631422543e-2547j | 2e-142, 1.06e-889j | 
| 6.6515619838928441702e-62 + 4.5049891987084325982e-2576j | 1.73e-175, 9.15e-923j | 
| 3.7045364708774484048e-30 - 3.4064317741601615371e-2559j | 1.98e-160, 1.05e-907j | 
| 0.086091855981244133448 - 1.1287743399672991019e-2543j | 7.14e-135, 3.78e-882j | 
| 0.022313732529195385919 + 9.8434614795439747532e-2544j | 2.18e-138, 1.15e-885j | 
| 2.6037756172460234542e-12 - 3.3228164245712296575e-2550j | 1.29e-149, 6.82e-897j | 
| 1.3477635457436190679e-22 + 1.562289856676017957e-2555j | 1.31e-156, 6.95e-904j | 
| 1.2714882560753719747e-33 - 1.0284896667839573131e-2560j | 1.47e-162, 7.8e-910j | 
| 1.5301272585671411172e-17 + 5.8104383699816115156e-2553j | 8.47e-154, 4.48e-901j | 
All rules of Laguerre type can be downloaded here packed into a single file.