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) | 
|---|---|
| 223.34118244205574621 + 3.6858108615062375844e-2550j | 7.66e-1001, 7.66e-1001j | 
| 206.8569800357902966 - 2.2937145189739536719e-2548j | 5.47e-999, 5.47e-999j | 
| 17.854863465502677227 + 1.5356588015656535912e-2548j | 1.36e-998, 1.36e-998j | 
| 25.614364023320809347 - 1.241869346307981801e-2545j | 5.31e-996, 5.31e-996j | 
| 193.74402107411594781 - 3.4986829641579669262e-2542j | 1.34e-997, 1.34e-997j | 
| 182.44646581686868311 + 1.1883722967717485489e-2539j | 1.89e-996, 1.89e-996j | 
| 30.086332274458079195 + 2.1643240438756100575e-2544j | 7.34e-995, 7.34e-995j | 
| 8.9914623785490984949 - 3.1135380301032140487e-2553j | 2.8e-1003, 2.8e-1003j | 
| 14.54071721116500806 - 3.3454003804342258074e-2551j | 4.6e-1000, 4.6e-1000j | 
| 70.371758241711119856 + 7.9705487097576588643e-2539j | 1.21e-990, 1.21e-990j | 
| 16.151861635235790921 - 3.2143442077500524468e-2548j | 2.71e-999, 2.71e-999j | 
| 52.349929459426606076 - 4.1662872172130136171e-2542j | 1.26e-991, 1.26e-991j | 
| 6.7414840647187201284 + 1.5188645653900382129e-2554j | 4.98e-1005, 4.98e-1005j | 
| 40.298703859816490515 - 3.9121741237825236478e-2542j | 5.67e-993, 5.67e-993j | 
| 34.974606746886531032 - 8.2818853366638134095e-2543j | 7.39e-994, 7.39e-994j | 
| 49.153138144552942332 - 7.5792143455731996519e-2541j | 6.54e-992, 6.54e-992j | 
| 55.676032839882652085 + 5.7058464646949672106e-2540j | 2.46e-991, 2.46e-991j | 
| 46.0814943884979698 + 1.4656555993186144887e-2541j | 3.09e-992, 3.09e-992j | 
| 66.478074332159011992 + 3.3395658725169511306e-2539j | 8.81e-991, 8.81e-991j | 
| 10.24651044111103035 - 2.9739959521460833404e-2552j | 1.89e-1002, 1.89e-1002j | 
| 7.8232631436879996743 + 3.4555169744383011277e-2553j | 3.7e-1004, 3.7e-1004j | 
| 1.9178352539905620853 + 7.8109524527457588525e-2561j | 2.46e-1011, 2.46e-1011j | 
| 62.734851087628581391 - 2.515878418428721017e-2540j | 6.09e-991, 6.09e-991j | 
| 1.4229426138226924667 + 2.4027602166347390058e-2561j | 1.11e-1012, 1.11e-1012j | 
| 5.7462942980991696734 - 1.9771000858852316545e-2555j | 5.96e-1006, 5.96e-1006j | 
| 59.13600605620998254 - 8.566933252292652185e-2541j | 3.84e-991, 3.84e-991j | 
| 32.477282874653207079 - 1.5509427542367154037e-2543j | 2.32e-994, 2.32e-994j | 
| 1 + 8.4507401189140349889e-2563j | 5.1e-1014, 5.1e-1014j | 
| 23.529174144107601592 - 2.1313450534294140044e-2545j | 1.36e-996, 1.36e-996j | 
| 11.58912091442418844 + 5.6932726774302074694e-2551j | 1.22e-1001, 1.22e-1001j | 
| 13.020182689484502194 + 3.6303217884006442274e-2550j | 7.95e-1001, 7.95e-1001j | 
| 3.369839231310923141 + 1.8204741713681017354e-2557j | 3.03e-1008, 3.03e-1008j | 
| 0.18188567320744303295 - 3.5343579376718013174e-2567j | 3.39e-1018, 3.39e-1018j | 
| 2.9569571916949703462 - 2.9932459448597529406e-2558j | 6.84e-1009, 6.84e-1009j | 
| 37.580834198246104751 - 1.9394262515239948502e-2542j | 2.1e-993, 2.1e-993j | 
| 43.131183577253643495 - 2.6918900139734299972e-2541j | 1.36e-992, 1.36e-992j | 
| 19.651080955519807975 + 4.1268301442743010278e-2547j | 6.62e-998, 6.62e-998j | 
| 0.65226924910981971202 + 1.7366034128642762872e-2564j | 2.16e-1015, 2.16e-1015j | 
| 2.4664483907250840311 - 9.0247415346309317756e-2559j | 5.39e-1010, 5.39e-1010j | 
| 27.799414708411577817 - 9.1385189209054426907e-2545j | 1.98e-995, 1.98e-995j | 
| 4.0300160234598798778 - 3.0149407329597614148e-2557j | 1.31e-1007, 1.31e-1007j | 
| 0.056897625001077184683 + 1.5048178666159553201e-2568j | 1.35e-1019, 1.35e-1019j | 
| 74.422647172989532389 - 5.6372360438071215205e-2538j | 1.55e-990, 1.55e-990j | 
| 0.0035542023496789597174 + 5.3894903318674190428e-2570j | 9.62e-1022, 9.62e-1022j | 
| 4.8395492246954389696 - 1.8078575962102178877e-2555j | 9.26e-1007, 9.26e-1007j | 
| 0.37988301935463734018 - 7.6334894717780342209e-2566j | 8.6e-1017, 8.6e-1017j | 
| 21.541986818890346772 - 6.3551539710405124054e-2546j | 2.97e-997, 2.97e-997j | 
| 78.638251097711769776 - 6.7531477321787641563e-2539j | 1.77e-990, 1.77e-990j | 
| 163.17717281495145004 - 1.7619389202926959529e-2540j | 1.3e-994, 1.3e-994j | 
| 146.80895027972121986 - 3.7388063334731450972e-2557j | 2.94e-993, 2.94e-993j | 
| 87.598259308608422764 - 4.9385518550071537392e-2590j | 2e-990, 2e-990j | 
| 97.332778800192251836 - 9.7462596434472644785e-2642j | 1.35e-990, 1.35e-990j | 
| 83.026971986197305004 - 1.1329115822537931425e-2732j | 1.91e-990, 1.91e-990j | 
| 172.36211468572730423 + 6.8697009912524309638e-2875j | 1.85e-995, 1.85e-995j | 
| 113.62648910640704564 + 4.3813967641842884806e-2969j | 3.37e-991, 3.37e-991j | 
| 125.84232477355723914 + 5.5882305616956578723e-3033j | 8.2e-992, 8.2e-992j | 
| 154.70156307249060638 - 1.9658114300989152957e-3102j | 6.67e-994, 6.67e-994j | 
| 92.362803405209050591 + 3.599269973935631607e-3200j | 1.72e-990, 1.72e-990j | 
| 119.58265770479778058 - 1.0610365434674492163e-3311j | 1.87e-991, 1.87e-991j | 
| 102.52215441507067219 + 2.8741843861394584743e-3398j | 1.02e-990, 1.02e-990j | 
| 132.43798283672475628 - 9.4417991023921364569e-3457j | 3.01e-992, 3.01e-992j | 
| 107.94709496621272742 + 1.6897688139034252377e-3493j | 6.44e-991, 6.44e-991j | 
| 139.4098715843123723 - 7.0919156159384233992e-3520j | 1.04e-992, 1.04e-992j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.964136421698872271e-96 + 2.04215094801803952e-2601j | 1.37e-172, 4.33e-920j | 
| 2.0935470249883451026e-89 - 8.2202491446137240678e-2598j | 1.11e-170, 3.5e-918j | 
| 3.0804486057305595912e-08 - 7.5591941770388371632e-2555j | 2.29e-108, 7.22e-856j | 
| 1.6039098845208333704e-11 - 1.5646099084449447073e-2556j | 7.3e-118, 2.3e-865j | 
| 8.7008584007911814975e-84 + 6.3460869078280733508e-2595j | 2.08e-169, 6.54e-917j | 
| 6.1767903160825314049e-79 - 1.9973957256790755074e-2592j | 2.97e-168, 9.36e-916j | 
| 2.0073368291906534128e-13 - 3.2673626388954339429e-2557j | 6.12e-124, 1.93e-871j | 
| 0.00015079577286621454975 - 2.0836676474045203926e-2552j | 8.64e-96, 2.72e-843j | 
| 7.5812156945960376603e-07 - 7.9837179264017700773e-2554j | 1.11e-106, 3.49e-854j | 
| 1.088541008840982649e-30 - 5.3764884179842244878e-2567j | 9.18e-147, 2.89e-894j | 
| 1.6018446681298898446e-07 + 3.1026798750210155819e-2554j | 2.37e-109, 7.47e-857j | 
| 5.9983014578854834959e-23 + 2.4207927808926676995e-2562j | 1.76e-139, 5.55e-887j | 
| 0.0012264669276526909916 - 9.9876363788021440288e-2552j | 1.82e-93, 5.73e-841j | 
| 8.7438969089952349632e-18 + 8.6334369567299191864e-2560j | 2.86e-133, 9.02e-881j | 
| 1.6500197786435623449e-15 + 7.3992250722983398075e-2558j | 8.34e-130, 2.63e-877j | 
| 1.409614994365557131e-21 - 7.9552191264714605297e-2562j | 2.25e-138, 7.09e-886j | 
| 2.2422972344033909405e-24 - 3.2540922247917418636e-2563j | 5.37e-142, 1.69e-889j | 
| 2.9220050509361881623e-20 + 6.1922320065776579036e-2561j | 2.48e-137, 7.8e-885j | 
| 5.1369511036378424269e-29 + 4.4477761973662387831e-2566j | 9.44e-148, 2.98e-895j | 
| 4.6079076906276857116e-05 + 9.4119335695862954828e-2553j | 2.69e-110, 8.49e-858j | 
| 0.00045033290110703169137 + 4.5639113802839958031e-2552j | 1.19e-105, 3.76e-853j | 
| 0.077524792088584680413 + 3.3895559546231436303e-2550j | 3.09e-84, 9.74e-832j | 
| 2.0858103396810574762e-27 - 3.5532922435414974012e-2565j | 2.61e-146, 8.23e-894j | 
| 0.11085035628215201659 - 3.1057944663082849379e-2550j | 1.57e-81, 4.94e-829j | 
| 0.0030397680415769851687 + 2.220322078269679938e-2551j | 5.18e-103, 1.63e-850j | 
| 7.3308341139374899508e-26 + 2.6699994949328341265e-2564j | 1.32e-144, 4.16e-892j | 
| 1.9202104240433213265e-14 - 3.3297189425997885742e-2558j | 1.34e-132, 4.23e-880j | 
| 0.14181867227719541267 + 3.0369065646017627356e-2550j | 2.73e-86, 8.62e-834j | 
| 1.230733307363925773e-10 + 3.1811536119262775052e-2555j | 1.67e-127, 5.26e-875j | 
| 1.2849427066511759576e-05 - 4.1720080632439674603e-2553j | 8.6e-116, 2.71e-863j | 
| 3.2687404332843031059e-06 + 1.8182722606898040432e-2553j | 1.34e-117, 4.21e-865j | 
| 0.018304233248057637956 - 3.6679457174289682536e-2550j | 1.64e-101, 5.18e-849j | 
| 0.13443573443032244333 - 2.629855855360380498e-2550j | 5.1e-91, 1.61e-838j | 
| 0.020318102030704257979 + 5.203067295527762812e-2550j | 6.37e-100, 2.01e-847j | 
| 1.270543646477787915e-16 + 2.0980168257122825406e-2558j | 2.4e-136, 7.57e-884j | 
| 5.3627608535665872566e-19 + 9.7420144839892959398e-2560j | 3.8e-139, 1.2e-886j | 
| 5.3856920049709223958e-09 + 1.0227659333623510317e-2555j | 1.71e-126, 5.38e-874j | 
| 0.16144672172129997349 - 3.004976637625693836e-2550j | 7.48e-97, 2.36e-844j | 
| 0.047120800939632106258 - 4.3164431917575375985e-2550j | 8.88e-103, 2.8e-850j | 
| 1.8891605005239134248e-12 + 2.1830145632585152821e-2556j | 1.37e-131, 4.33e-879j | 
| 0.013369542651885829662 + 1.3377683902278350294e-2550j | 9.71e-109, 3.06e-856j | 
| 0.084027193956543896673 + 2.0711742913157078511e-2550j | 5.23e-99, 1.65e-846j | 
| 1.9715483958343911119e-32 + 5.7886114390909455018e-2568j | 8.58e-156, 2.71e-903j | 
| 0.018330732538076356494 - 8.5143446963963947243e-2551j | 3.85e-100, 1.21e-847j | 
| 0.006809714221227672061 - 5.1718281988412259719e-2551j | 3.94e-112, 1.24e-859j | 
| 0.16071288723428224286 + 2.9016974942103201553e-2550j | 1.61e-100, 5.07e-848j | 
| 8.5498883110879767512e-10 - 3.2010322474531858838e-2555j | 5.97e-129, 1.88e-876j | 
| 3.0295537660423793332e-34 - 5.788689244424383021e-2569j | 2.9e-158, 9.14e-906j | 
| 1.1961627516976496886e-70 - 3.8015795804340174494e-2588j | 4.03e-181, 1.27e-928j | 
| 1.3316469268509718561e-63 - 1.7148118417771457844e-2584j | 9.48e-179, 2.99e-926j | 
| 4.221880115056380781e-38 - 4.7204938485009658071e-2571j | 9.41e-164, 2.97e-911j | 
| 2.7197800348429682329e-42 - 2.6820561515375443998e-2573j | 7.7e-168, 2.43e-915j | 
| 3.9170633702382388389e-36 + 5.4541809874747740953e-2570j | 8.09e-162, 2.55e-909j | 
| 1.33707134300426214e-74 + 3.4447847959271661261e-2590j | 1.12e-183, 3.52e-931j | 
| 2.6127496336558983465e-49 + 5.1246363861466414679e-2577j | 1.47e-173, 4.65e-921j | 
| 1.4289645632237073098e-54 + 8.813507287289013911e-2580j | 9.11e-177, 2.87e-924j | 
| 5.321242611760468463e-67 + 2.950294128190087675e-2586j | 7.66e-182, 2.41e-929j | 
| 3.7534901013077957761e-40 + 3.7343778416262996904e-2572j | 8.64e-168, 2.72e-915j | 
| 7.1032585300556431607e-52 - 2.2888746937198772426e-2578j | 1.49e-175, 4.71e-923j | 
| 1.5842314557510620645e-44 + 1.7354043817521973016e-2574j | 1.32e-171, 4.17e-919j | 
| 2.0601892272383787793e-57 - 2.8776972538194161636e-2581j | 5.12e-179, 1.61e-926j | 
| 7.3007637847588863984e-47 - 1.002863978228655879e-2575j | 1.61e-173, 5.08e-921j | 
| 2.0461550102610158843e-60 + 7.8064584423862493912e-2583j | 1.42e-180, 4.47e-928j | 
All rules of Laguerre type can be downloaded here packed into a single file.