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) | 
|---|---|
| 148.34699461667831341 + 1.2090332805727815186e-2935j | 1.85e-999, 1.85e-999j | 
| 138.97876578362308449 + 1.655261062569031371e-2951j | 1.29e-998, 1.29e-998j | 
| 186.63003221948121847 + 8.4096202578942250633e-2964j | 1.73e-1003, 1.73e-1003j | 
| 171.14768871848626288 - 1.0029931387265741527e-2966j | 9.61e-1002, 9.61e-1002j | 
| 75.301683050870667011 - 3.6348890241868205155e-2982j | 6.37e-995, 6.37e-995j | 
| 32.058868825638281768 + 1.8184284715504815617e-2995j | 2.39e-997, 2.39e-997j | 
| 47.17670740952691739 + 1.5661799025813141925e-2992j | 1.26e-995, 1.26e-995j | 
| 130.47588764718794056 - 3.2213336952125962051e-2996j | 6.85e-998, 6.85e-998j | 
| 70.690094657096687888 + 9.9725327544795881186e-3000j | 6.1e-995, 6.1e-995j | 
| 7.3179127231309068604 - 2.7311852296632804683e-3020j | 2.04e-1005, 2.04e-1005j | 
| 8.5160814711384053232 + 7.9685255933262335014e-3019j | 2.56e-1004, 2.56e-1004j | 
| 122.6573767028601689 - 3.5520771991114847638e-3009j | 2.92e-997, 2.92e-997j | 
| 58.108624473436217707 + 3.7986753648476523622e-3019j | 4.02e-995, 4.02e-995j | 
| 50.652422304530551493 + 4.3855846498761191529e-3034j | 1.92e-995, 1.92e-995j | 
| 40.694579676278169349 - 1.4725973390839178567e-3047j | 3.6e-996, 3.6e-996j | 
| 16.402635230020449078 - 3.8222754018040659859e-3073j | 7.69e-1001, 7.69e-1001j | 
| 10.257801186785141083 + 1.0108878058146368754e-3084j | 6.43e-1003, 6.43e-1003j | 
| 14.638361334482629127 + 4.9925105629185035398e-3079j | 1.76e-1001, 1.76e-1001j | 
| 158.87914378308788908 - 3.0239992439784143544e-3076j | 1.68e-1000, 1.68e-1000j | 
| 11.476433715528536725 + 1.1979047133642145717e-3105j | 1.52e-1002, 1.52e-1002j | 
| 102.2668394976910776 + 3.1595869857617462355e-3120j | 6.44e-996, 6.44e-996j | 
| 1.2165851958674993057 - 1.4163321988623655632e-3175j | 4.33e-1013, 4.33e-1013j | 
| 26.972326557680523299 - 5.1600029877971155366e-3167j | 3.91e-998, 3.91e-998j | 
| 115.40287392184273761 - 4.7170880128997305115e-3220j | 9.99e-997, 9.99e-997j | 
| 18.281587949390751729 + 2.6404392948168626525e-3250j | 2.73e-1000, 2.73e-1000j | 
| 20.275986437879626552 - 1.1062894262194955881e-3263j | 9.06e-1000, 9.06e-1000j | 
| 0.8564946200868494795 + 1.1821164988916140734e-3303j | 4.43e-1014, 4.43e-1014j | 
| 12.990897884371396024 + 1.2770634600368610493e-3285j | 4.67e-1002, 4.67e-1002j | 
| 96.273465136166618452 - 2.6800221458437665596e-3306j | 1.28e-995, 1.28e-995j | 
| 6.196205771340291157 - 1.2957207091976511441e-3357j | 1.78e-1006, 1.78e-1006j | 
| 34.799123068558727834 - 2.6534323898648560855e-3354j | 6.44e-997, 6.44e-997j | 
| 9.6124726326687055278 + 1.8380800904926246837e-3393j | 2.73e-1003, 2.73e-1003j | 
| 0.28109904433207587007 - 2.5917693601710728827e-3423j | 4.17e-1017, 4.17e-1017j | 
| 22.387621278761020469 - 1.2405522725714887844e-3401j | 3.42e-999, 3.42e-999j | 
| 5.1692184994818379292 - 7.8866115244597960244e-3432j | 1.77e-1007, 1.77e-1007j | 
| 80.146096405028480831 + 3.7842430024689156688e-3463j | 4.75e-995, 4.75e-995j | 
| 90.608618262072296968 - 5.6178392161149449796e-3510j | 2.28e-995, 2.28e-995j | 
| 0.5857864376269049512 - 4.7132262786588168307e-3573j | 1.08e-1014, 1.08e-1014j | 
| 1.6054525833172712334 - 1.9766090561829492621e-3570j | 3e-1012, 3e-1012j | 
| 43.859536383970249894 - 4.5897668493884578128e-3553j | 6.88e-996, 6.88e-996j | 
| 62.105981174123553377 + 1.4962603263590367307e-3603j | 5.05e-995, 5.05e-995j | 
| 54.293751147390616116 + 5.0336676065557008674e-3655j | 2.87e-995, 2.87e-995j | 
| 2.6926222759334657475 - 1.0910949655420599253e-3698j | 1.82e-1010, 1.82e-1010j | 
| 0.11237331364323042761 + 8.0627950292517251178e-3734j | 7.21e-1019, 7.21e-1019j | 
| 37.676150251907775554 + 9.1027688495937972573e-3718j | 1.49e-996, 1.49e-996j | 
| 85.241319478359109794 + 1.8345295885080939019e-3792j | 3.48e-995, 3.48e-995j | 
| 108.62711197312559328 - 4.5895786514349623409e-3855j | 2.72e-996, 2.72e-996j | 
| 4.2410886883481072754 + 1.1338927411629382343e-3891j | 1.91e-1008, 1.91e-1008j | 
| 0.51582574964901062495 + 4.2050997203640659618e-3911j | 4.61e-1015, 4.61e-1015j | 
| 24.618825750930918779 + 7.5792813886425935955e-3891j | 1.06e-998, 1.06e-998j | 
| 2.0857449385483801422 - 8.1467212132486188629e-3926j | 2.09e-1011, 2.09e-1011j | 
| 66.295952646256143252 + 1.1990093864700223262e-3918j | 5.82e-995, 5.82e-995j | 
| 29.451199796082864864 - 7.0583499837550275186e-3935j | 9.51e-998, 9.51e-998j | 
| 0.020974822437409004193 - 1.5659454168702087447e-3960j | 1.34e-1020, 1.34e-1020j | 
| 3.4142135623730950488 - 3.5415045809236488003e-3950j | 1.74e-1009, 1.74e-1009j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.704495441888254829e-64 - 2.3325332271849283134e-2999j | 1.2e-187, 2.76e-939j | 
| 3.9047911072315018146e-60 + 6.00333021999872284e-2998j | 2.84e-186, 6.55e-938j | 
| 1.6227378464542161951e-80 - 3.8229425430160377985e-3009j | 4.74e-194, 1.09e-945j | 
| 6.3255884058432347466e-74 + 1.6531119427699523331e-3005j | 9.76e-192, 2.25e-943j | 
| 9.3609176798035388393e-33 + 2.5626658719281126079e-2984j | 1.63e-175, 3.75e-927j | 
| 3.1919609456879586636e-14 + 5.0032126244069392895e-2974j | 2.16e-158, 4.99e-910j | 
| 1.1022961186887554555e-20 - 9.1064271174520771647e-2978j | 2.22e-166, 5.12e-918j | 
| 1.7599196317890796416e-56 - 2.5683065176361372214e-2996j | 2.03e-186, 4.69e-938j | 
| 8.9730882934378272486e-31 - 2.8857151166423626502e-2983j | 9.32e-175, 2.15e-926j | 
| 0.00077357988614084564945 + 1.2702808797985599822e-2966j | 1.17e-132, 2.69e-884j | 
| 0.00024327753132327052106 - 9.1301204373758128136e-2967j | 1.29e-135, 2.97e-887j | 
| 4.0438287627478866546e-53 + 1.0372068370323488629e-2994j | 9.64e-186, 2.22e-937j | 
| 2.2662827866827453125e-25 + 2.3421450663661975144e-2980j | 9.33e-172, 2.15e-923j | 
| 3.5731404604100064605e-22 + 1.3436310403082282263e-2978j | 3.68e-169, 8.48e-921j | 
| 6.5559967879262776768e-18 - 3.4166841489949249181e-2976j | 5.69e-166, 1.31e-917j | 
| 1.3705143895803490464e-07 - 1.2573772739433475249e-2969j | 3.81e-152, 8.78e-904j | 
| 2.9914655952394878002e-05 - 5.5590397959592981362e-2967j | 2.21e-144, 5.1e-896j | 
| 7.4953545451052927407e-07 + 5.0648429882995128386e-2969j | 2.32e-150, 5.36e-902j | 
| 1.1258205809757964879e-68 - 1.8977962531858824264e-3002j | 1.67e-193, 3.85e-945j | 
| 1.481287285458219637e-05 + 1.0839178224497766295e-2967j | 2.45e-147, 5.66e-899j | 
| 2.3786983451911435202e-44 - 2.4701029660827236926e-2990j | 2.43e-185, 5.6e-937j | 
| 0.10984475235616629783 + 4.011975578667726236e-2964j | 5.58e-121, 1.29e-872j | 
| 4.6676755414006047053e-12 + 1.074646785378295632e-2972j | 6.6e-163, 1.52e-914j | 
| 5.3266850161345049595e-50 - 3.5474577084292524681e-2993j | 4.24e-187, 9.78e-939j | 
| 2.2254125321611088634e-08 + 3.1732639792377456615e-2970j | 5.7e-157, 1.31e-908j | 
| 3.2104735030160047168e-09 - 7.9577361397559187418e-2971j | 6.28e-159, 1.45e-910j | 
| 0.14568450132255698737 - 7.4569352597653124936e-2964j | 1.28e-128, 2.95e-880j | 
| 3.6185333297705796194e-06 - 2.1667012607163071815e-2968j | 1.88e-152, 4.34e-904j | 
| 8.9979268365264141352e-42 + 5.1355616796912752457e-2989j | 5.77e-185, 1.33e-936j | 
| 0.0021908260283496508492 - 2.1935004383300572143e-2966j | 2.84e-147, 6.56e-899j | 
| 2.1642911597167935376e-15 - 1.0031624585060398157e-2974j | 5.78e-168, 1.33e-919j | 
| 5.3822834764819686475e-05 + 8.8619783081954438059e-2967j | 1.67e-150, 3.85e-902j | 
| 0.15672401132160165566 + 3.6848733736483792791e-2964j | 8.6e-136, 1.98e-887j | 
| 4.1099688920682093457e-10 + 1.9559194088604788214e-2971j | 1.83e-161, 4.23e-913j | 
| 0.0055636490434228980578 + 4.1997497122653528376e-2966j | 3.98e-148, 9.17e-900j | 
| 7.7454995782832710834e-35 - 2.0489587779773123871e-2985j | 3.11e-182, 7.18e-934j | 
| 2.4572003079388809395e-39 - 9.2584625386593003272e-2988j | 1.45e-184, 3.35e-936j | 
| 0.045339408008533493114 + 2.3998694092111230448e-2963j | 4.97e-142, 1.15e-893j | 
| 0.084598114356886482137 - 2.2847118887342662397e-2964j | 1.85e-145, 4.28e-897j | 
| 2.9013435068697991377e-19 + 5.762046614775551356e-2977j | 1.01e-172, 2.34e-924j | 
| 4.3615055630101472038e-27 - 2.7427569108764045502e-2981j | 1.17e-178, 2.71e-930j | 
| 9.8140439222705477132e-24 - 1.8435234571061524587e-2979j | 2.48e-176, 5.73e-928j | 
| 0.045123202025526719096 - 4.3366448586242858764e-2965j | 5.84e-155, 1.35e-906j | 
| 0.11580550659929754228 - 1.3117938899226920481e-2964j | 2.28e-150, 5.26e-902j | 
| 1.2788623879218005594e-16 + 1.9055300696849930123e-2975j | 7.47e-172, 1.72e-923j | 
| 4.9940308846375579014e-37 + 1.4635819200357083104e-2986j | 2.4e-184, 5.55e-936j | 
| 4.3719423773573325811e-47 + 1.0176727960497805229e-2991j | 1.42e-189, 3.29e-941j | 
| 0.01263523928278925583 - 8.6016315197123927815e-2966j | 7.79e-161, 1.8e-912j | 
| 0.12928114019523642052 - 2.1721100147236850186e-2963j | 1.4e-155, 3.23e-907j | 
| 4.6598241389320864076e-11 - 4.6683811736564533601e-2972j | 2.03e-169, 4.69e-921j | 
| 0.067626552729976942213 + 1.0468769408190001978e-2964j | 4.17e-160, 9.62e-912j | 
| 6.9261315930141099368e-29 + 2.9457663119395020461e-2982j | 2.26e-180, 5.22e-932j | 
| 4.1190456401770006807e-13 - 2.3729603812360609769e-2973j | 5.01e-171, 1.16e-922j | 
| 0.052957304037066781519 + 3.3683764637163632713e-2965j | 1.64e-161, 4.25e-913j | 
| 0.025505853864021967473 + 1.8711837794683793807e-2965j | 2.47e-162, 5.6e-914j | 
All rules of Laguerre type can be downloaded here packed into a single file.