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) | 
|---|---|
| 218.74950744311095621 - 3.4429906384746422326e-2611j | 2.49e-993, 2.49e-993j | 
| 230.76324493593364118 - 8.1663779946950716629e-2616j | 1.4e-994, 1.4e-994j | 
| 180.60729508130906703 + 9.5535300902618581416e-2610j | 9.8e-990, 9.8e-990j | 
| 207.99682797026475018 - 1.2490712190084107249e-2620j | 3.01e-992, 3.01e-992j | 
| 34.114859987641426974 + 1.9218671560664914839e-2629j | 4.74e-991, 4.74e-991j | 
| 83.914217378846045678 + 2.6488106956158449191e-2635j | 7.95e-986, 7.95e-986j | 
| 198.17693021728348584 - 7.9057329748350832007e-2657j | 2.72e-991, 2.72e-991j | 
| 15.25194822444139388 - 1.0545230682432358943e-2703j | 8.78e-998, 8.78e-998j | 
| 151.14091673300926945 + 4.6388500501557969001e-2690j | 1.37e-987, 1.37e-987j | 
| 68.78699372987227525 - 6.0013578089680129898e-2735j | 1.87e-986, 1.87e-986j | 
| 31.851554374450062664 + 5.9489615213969283906e-2763j | 1.24e-991, 1.24e-991j | 
| 262.09567075670188527 + 5.1604778746802913725e-2774j | 4.61e-998, 4.61e-998j | 
| 38.909833944579678818 + 9.2024470893500492765e-2801j | 5.37e-990, 5.37e-990j | 
| 16.775457288525678469 + 6.0257238215424111655e-2836j | 5.18e-997, 5.18e-997j | 
| 101.26154026314488927 - 5.2111156790153603442e-2872j | 1.1e-985, 1.1e-985j | 
| 12.434883494480162405 - 2.3795985217589408568e-2919j | 1.81e-999, 1.81e-999j | 
| 244.6685064177284229 + 1.0566458523253897397e-2904j | 4.4e-996, 4.4e-996j | 
| 46.800257041158193722 + 1.3318606924910290464e-2930j | 1.16e-988, 1.16e-988j | 
| 105.99277705087889983 + 4.8315003075640428691e-2962j | 1.01e-985, 1.01e-985j | 
| 9.9192237277717360906 - 1.7360194697279596123e-3000j | 3.26e-1001, 3.26e-1001j | 
| 58.713829885895103504 - 2.6840713989984152197e-2984j | 3.1e-987, 3.1e-987j | 
| 5.7706877742495407784 - 5.5625428649664522972e-3021j | 3.92e-1005, 3.92e-1005j | 
| 92.286947838883123443 - 7.5235625363970151732e-3001j | 1.09e-985, 1.09e-985j | 
| 189.09109023476287337 + 3.2702926287230314375e-3014j | 1.9e-990, 1.9e-990j | 
| 157.94650855435709581 - 3.6352434096243212823e-3015j | 4.87e-988, 4.87e-988j | 
| 41.444986104389896451 - 8.0583075506661976371e-3029j | 1.59e-989, 1.59e-989j | 
| 72.378903730788192994 + 6.114507092908963283e-3025j | 3.02e-986, 3.02e-986j | 
| 61.958044383608023186 - 4.0655583072285034415e-3053j | 5.85e-987, 5.85e-987j | 
| 8.7726611022100432505 + 8.3688985255482591942e-3099j | 3.59e-1002, 3.59e-1002j | 
| 115.98730612349199759 + 1.1121851343594960607e-3081j | 6.47e-986, 6.47e-986j | 
| 172.63210158578662175 - 5.149506939667007163e-3104j | 4.16e-989, 4.16e-989j | 
| 126.76388520060146073 + 3.1728080351606972521e-3121j | 2.74e-986, 2.74e-986j | 
| 165.09623761556509229 + 1.3192859247742213968e-3134j | 1.68e-988, 1.68e-988j | 
| 13.805363536964434446 + 9.4252086893134562116e-3156j | 1.24e-998, 1.24e-998j | 
| 65.314617828505847953 + 1.6159355155453484458e-3143j | 1.1e-986, 1.1e-986j | 
| 49.624645361072400851 + 3.4910340162077135384e-3155j | 2.79e-988, 2.79e-988j | 
| 20.056814458927246459 + 1.8739922208916614664e-3189j | 1.55e-995, 1.55e-995j | 
| 1.2544985921985815308 - 3.0896985827143994279e-3208j | 7.01e-1013, 7.01e-1013j | 
| 25.579722522050197351 + 2.0599885975487644624e-3181j | 1.79e-993, 1.79e-993j | 
| 138.43252771079934684 - 9.006702704200662417e-3193j | 7.35e-987, 7.35e-987j | 
| 144.64555291772818152 + 5.3666475316708630399e-3267j | 3.51e-987, 3.51e-987j | 
| 18.376767199388714501 - 1.0614190904550272753e-3321j | 3.16e-996, 3.16e-996j | 
| 3.4142135623730950488 + 2.6141062597232962219e-3337j | 3.07e-1008, 3.07e-1008j | 
| 121.27166997685379605 + 1.9087974087149832747e-3334j | 4.25e-986, 4.25e-986j | 
| 2.1955962752042459452 - 2.1447978186954591646e-3410j | 1.7e-1010, 1.7e-1010j | 
| 96.695555977970308605 + 1.3517065788610410199e-3383j | 1.1e-985, 1.1e-985j | 
| 132.47854454283899107 + 9.5302547018387651963e-3422j | 1.47e-986, 1.47e-986j | 
| 23.657188786547597144 + 3.2577493819492728805e-3471j | 3.96e-994, 3.96e-994j | 
| 0.5857864376269049512 + 1.2896086705026561753e-3490j | 2.69e-1015, 2.69e-1015j | 
| 21.81659914955158532 + 1.947000731663816308e-3470j | 8.09e-995, 8.09e-995j | 
| 79.937899174160362697 + 4.357870578610314827e-3460j | 6.18e-986, 6.18e-986j | 
| 110.89806875995221627 - 6.7511019640856674739e-3495j | 8.05e-986, 8.05e-986j | 
| 29.675565173515807652 + 4.4432078031470220441e-3521j | 3.37e-992, 3.37e-992j | 
| 6.6989544925898042217 + 6.6564908812549398196e-3534j | 4.11e-1004, 4.11e-1004j | 
| 2.7699669837590774256 - 1.9623048087905789414e-3538j | 2.41e-1009, 2.41e-1009j | 
| 27.585415750984480082 + 1.0891478498722846982e-3521j | 8.25e-993, 8.25e-993j | 
| 52.549974579163425702 - 4.8241180880277386719e-3515j | 6.88e-988, 6.88e-988j | 
| 4.1287844396177649332 + 1.4597218171747728824e-3563j | 3.42e-1007, 3.42e-1007j | 
| 4.9141238364624483188 - 2.0027407293847238882e-3562j | 3.74e-1006, 3.74e-1006j | 
| 0.35088822005207533214 - 1.7747333703667447319e-3572j | 1.17e-1016, 1.17e-1016j | 
| 0.068912423448760274884 + 3.4767488944459433163e-3575j | 2.53e-1019, 2.53e-1019j | 
| 88.028633690988360215 + 9.9502905551938206893e-3541j | 9.29e-986, 9.29e-986j | 
| 0.012377082269976230305 - 1.6196219704407210612e-3646j | 7.2e-1021, 7.2e-1021j | 
| 44.074440148914627049 - 5.9881809474298651783e-3564j | 4.51e-989, 4.51e-989j | 
| 1.6906232933996156709 - 5.9564419515805135159e-3601j | 1.2e-1011, 1.2e-1011j | 
| 0.17973956530452899383 - 5.6041886051659864063e-3607j | 6.23e-1018, 6.23e-1018j | 
| 7.6994315707211279481 - 7.4319932710597127451e-3592j | 4.05e-1003, 4.05e-1003j | 
| 0.88653305972332081203 + 1.1272187796043122274e-3602j | 4.56e-1014, 4.56e-1014j | 
| 76.094401027686246803 + 1.4419584165986672391e-3573j | 4.55e-986, 4.55e-986j | 
| 55.578790033642870603 + 1.5465406743451379384e-3589j | 1.44e-987, 1.44e-987j | 
| 11.139742015583557377 - 2.865845413048622314e-3615j | 2.53e-1000, 2.53e-1000j | 
| 36.46705852292036921 + 7.1499079975261055444e-3604j | 1.58e-990, 1.58e-990j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.1268032016958194909e-94 - 2.6157304313190748205e-2686j | 5.52e-152, 1.31e-895j | 
| 7.7344230280797867392e-100 + 6.2652163439918518676e-2689j | 7.72e-154, 1.84e-897j | 
| 3.0055468992193398615e-78 - 5.9234115582756780422e-2678j | 2.25e-147, 5.35e-891j | 
| 4.7714945111783603095e-90 + 5.8608440944683264538e-2684j | 4.69e-151, 1.12e-894j | 
| 3.5256778020546731121e-15 - 3.4850261032659699144e-2644j | 5.88e-102, 1.4e-845j | 
| 1.4567248262231679957e-36 + 1.7752826002561809729e-2656j | 8.36e-128, 1.99e-871j | 
| 8.0762078298023079681e-86 - 8.278367740518383869e-2682j | 5.3e-150, 1.26e-893j | 
| 3.5307088177424068929e-07 - 5.3029987881846059662e-2641j | 5.16e-82, 1.23e-825j | 
| 1.5235403557083623232e-65 - 1.8241669439086779895e-2671j | 4.35e-144, 1.04e-887j | 
| 4.7222268113942234565e-30 + 5.0654788304523652509e-2653j | 1.95e-123, 4.63e-867j | 
| 3.2604680565102583953e-14 + 9.4146092041753943635e-2644j | 1.07e-102, 2.56e-846j | 
| 3.0604780577435859408e-113 + 1.0089033999308934348e-2695j | 9.51e-161, 2.26e-904j | 
| 3.145127783350832866e-17 + 1.2514691016358603799e-2645j | 1.01e-108, 2.39e-852j | 
| 8.0958857376226217895e-08 + 2.6399278740593351029e-2641j | 3.64e-88, 8.65e-832j | 
| 4.8962724945611799442e-44 + 2.1991205270144118843e-2660j | 1.65e-134, 3.93e-878j | 
| 5.3006241106731544604e-06 - 1.9689869182698890519e-2640j | 6.92e-83, 1.65e-826j | 
| 8.4026006180127476315e-106 - 5.9236910207672133099e-2692j | 4.15e-158, 9.88e-902j | 
| 1.3125807351502653002e-20 - 8.8261997393164377333e-2648j | 2.02e-115, 4.81e-859j | 
| 4.4737584127649306084e-46 - 1.9197283324495334966e-2661j | 5.56e-136, 1.32e-879j | 
| 5.8247804791683189888e-05 - 6.4991576225730932544e-2640j | 7.23e-82, 1.72e-825j | 
| 1.0105971913583162868e-25 - 1.1294452414048027813e-2650j | 7.78e-122, 1.85e-865j | 
| 0.0027819497377763602015 - 4.8976406378136132432e-2639j | 1.76e-72, 4.18e-816j | 
| 3.6058732462348433726e-40 + 2.2809836689233723283e-2658j | 1.56e-132, 3.7e-876j | 
| 6.631581823365866576e-82 + 8.1291060871978896245e-2680j | 8.23e-151, 1.96e-894j | 
| 1.770206738996529482e-68 + 5.7488969470482489973e-2673j | 4.58e-147, 1.09e-890j | 
| 2.5859649987048662005e-18 - 2.2758442072539229803e-2646j | 2.11e-115, 5.02e-859j | 
| 1.3455229626454836879e-31 - 7.5552773196496036692e-2654j | 4.68e-128, 1.11e-871j | 
| 4.0780864970207420271e-27 + 1.9519691689294123862e-2651j | 1.26e-124, 2.99e-868j | 
| 0.00017191937123028207847 + 1.1281220950921136058e-2639j | 2.56e-89, 6.09e-833j | 
| 2.1982976284892554394e-50 - 1.1297283988996806023e-2663j | 1.62e-140, 3.85e-884j | 
| 8.2391377832045024986e-75 + 3.3544874840462016695e-2676j | 4.64e-150, 1.1e-893j | 
| 4.9590281952985165772e-55 - 4.5368741842788779406e-2666j | 9.13e-144, 2.17e-887j | 
| 1.4622261636035516947e-71 - 1.528039233325156396e-2674j | 4.06e-149, 9.66e-893j | 
| 1.4227641332480626443e-06 + 1.0365524699660913123e-2640j | 4.25e-103, 1.01e-846j | 
| 1.4705163514202807392e-28 - 3.2227741311485197679e-2652j | 2.05e-128, 4.89e-872j | 
| 8.0694711157357820196e-22 + 1.7390414886976733934e-2648j | 2.5e-124, 5.94e-868j | 
| 3.34888250506713636e-09 + 6.0788309502783285104e-2642j | 1.23e-111, 2.93e-855j | 
| 0.11463342833351840077 + 4.8128140735190239239e-2638j | 3.62e-76, 8.61e-820j | 
| 1.5275237979890422509e-11 - 6.012191357247256594e-2643j | 1.31e-115, 3.12e-859j | 
| 4.6069868390242450117e-60 - 1.1755483585315747132e-2668j | 1.19e-146, 2.84e-890j | 
| 9.6384257337188998776e-63 + 4.9651091305085196805e-2670j | 1.5e-147, 3.57e-891j | 
| 1.7141634536002598257e-08 - 1.2812059271051464404e-2641j | 2.06e-113, 4.9e-857j | 
| 0.022351664926096808241 + 1.599720219702260757e-2638j | 5.58e-97, 1.33e-840j | 
| 1.157847338836181225e-52 + 7.5332368494463073198e-2665j | 4.86e-144, 1.16e-887j | 
| 0.060051919880554170683 + 2.9867428488973813864e-2638j | 9.44e-95, 2.25e-838j | 
| 4.5448345242393348768e-42 - 2.3259485493711951996e-2659j | 8.11e-140, 1.93e-883j | 
| 1.7024092033079936965e-57 + 2.4495073150054149973e-2667j | 4.66e-146, 1.11e-889j | 
| 1.0006602758691826523e-10 + 1.3043679007248288145e-2642j | 1.34e-120, 3.18e-864j | 
| 0.1489343234182102661 + 6.3979582331772490116e-2638j | 2.44e-96, 5.8e-840j | 
| 6.0317690712068310055e-10 - 2.831858430069524532e-2642j | 1.72e-119, 4.1e-863j | 
| 7.5073176468641444323e-35 - 1.4187403873485531792e-2655j | 1.12e-137, 2.67e-881j | 
| 3.4368536848275662946e-48 + 1.5401376873970013772e-2662j | 9.4e-143, 2.24e-886j | 
| 2.7607194697316302641e-13 - 1.4457293139221602327e-2643j | 8.11e-125, 1.93e-868j | 
| 0.0011881909737436074177 + 3.0975704484766740984e-2639j | 6.92e-115, 1.65e-858j | 
| 0.038176989513275456385 - 2.2236615253591026871e-2638j | 1.68e-109, 3.99e-853j | 
| 2.1432463816778672428e-12 + 2.8378333811880608602e-2643j | 5.34e-124, 1.27e-867j | 
| 4.4829227651811564017e-23 - 3.352569586685466741e-2649j | 1.29e-132, 3.08e-876j | 
| 0.012074906660330527 - 1.1134284178528888276e-2638j | 2.66e-114, 6.34e-858j | 
| 0.0060269790733165939593 + 7.5031587349782186273e-2639j | 3.02e-115, 7.19e-859j | 
| 0.14263699257216673919 - 6.5954607230462996837e-2638j | 5.27e-111, 1.26e-854j | 
| 0.076891758720988115072 - 4.1479335546445479785e-2638j | 1.62e-111, 3.86e-855j | 
| 2.4625331666586266715e-38 - 2.0820591650865134891e-2657j | 4.53e-140, 1.08e-883j | 
| 0.03188510345522923992 + 1.4621497616469032713e-2638j | 2.12e-112, 5.06e-856j | 
| 1.9337826463720159247e-19 + 4.4441419611982777456e-2647j | 7.81e-131, 1.86e-874j | 
| 0.086752841367525714257 - 3.8682088745503520843e-2638j | 1.96e-115, 4.65e-859j | 
| 0.1171817986871103574 + 5.9524005575229282021e-2638j | 1.64e-113, 3.89e-857j | 
| 0.00046973998685271188732 - 1.8986568119938812912e-2639j | 7.07e-120, 1.68e-863j | 
| 0.13770580045842094555 - 5.7148170886241668422e-2638j | 3.48e-115, 8.28e-859j | 
| 3.3881871135250775897e-33 + 1.0660669322826629695e-2654j | 5.25e-138, 1.25e-881j | 
| 2.2448840240013535114e-24 + 6.268097758000621494e-2650j | 1.01e-133, 2.4e-877j | 
| 1.8266429387903784699e-05 + 3.6315212111350506121e-2640j | 2.24e-123, 5.32e-867j | 
| 3.4854706494035834628e-16 - 8.7667165982351751142e-2645j | 1.78e-129, 4.24e-873j | 
All rules of Laguerre type can be downloaded here packed into a single file.