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) | 
|---|---|
| 256.55986045017809065 + 1.2119025609729549539e-2783j | 3.87e-995, 3.87e-995j | 
| 219.2811297096255626 - 1.2462860221538438069e-2773j | 3.43e-991, 3.43e-991j | 
| 230.2198616810137693 - 5.4567700479819500621e-2779j | 2.72e-992, 2.72e-992j | 
| 274.25091726820898488 + 1.8816632615351136979e-2796j | 3.84e-997, 3.84e-997j | 
| 200.0295481177935624 - 4.6090250690429944782e-2817j | 2.3e-989, 2.3e-989j | 
| 19.792005915016098967 - 3.5986015471115153333e-2872j | 1.85e-994, 1.85e-994j | 
| 92.222863149049019369 - 6.7995850454301231064e-2905j | 5.38e-984, 5.38e-984j | 
| 130.70126230134405073 - 3.8047526214515308115e-2958j | 1.31e-984, 1.31e-984j | 
| 62.771279656863614378 - 7.5052744327836110705e-2980j | 2.2e-985, 2.2e-985j | 
| 26.976770789569045567 - 3.9798083677105682938e-3016j | 8.77e-992, 8.77e-992j | 
| 21.473210553792172339 + 1.4547954028420249639e-3018j | 8.67e-994, 8.67e-994j | 
| 6.9239565457104964806 + 1.4842063537780575035e-3026j | 1.06e-1002, 1.06e-1002j | 
| 33.1954405296998864 + 5.9539891225215150746e-3013j | 4.8e-990, 4.8e-990j | 
| 66.046730604994257454 - 3.8978148349080604611e-3007j | 4.12e-985, 4.12e-985j | 
| 105.42184137332322333 + 5.9939125802396616307e-3048j | 5.87e-984, 5.87e-984j | 
| 23.230308182255057244 - 2.4734062403239253898e-3084j | 4.07e-993, 4.07e-993j | 
| 35.433315940541938267 - 5.1936524029142549854e-3081j | 1.81e-989, 1.81e-989j | 
| 11.238299796934599835 - 8.4809624547468496578e-3091j | 3.83e-999, 3.83e-999j | 
| 53.568864356874890963 + 1.09829418904606676e-3075j | 2.46e-986, 2.46e-986j | 
| 45.249575853113048312 + 4.9199046561798881126e-3084j | 1.6e-987, 1.6e-987j | 
| 209.28474492659645704 + 1.9953859599334175133e-3109j | 3.19e-990, 3.19e-990j | 
| 148.29380151746947718 - 1.3645003875560943356e-3146j | 1.84e-985, 1.84e-985j | 
| 80.270354300827786516 + 1.6549742780278798906e-3167j | 2.66e-984, 2.66e-984j | 
| 175.55563525469061418 - 5.1166325071991170339e-3191j | 2.76e-987, 2.76e-987j | 
| 12.486507079040894342 + 2.1498054287479526174e-3237j | 2.55e-998, 2.55e-998j | 
| 120.04462608672711085 - 3.1878595640591224599e-3222j | 3.05e-984, 3.05e-984j | 
| 13.804351333886423627 + 2.4642015345628712101e-3260j | 1.71e-997, 1.71e-997j | 
| 10.058798621722378759 - 1.7496122688256295202e-3262j | 5.11e-1000, 5.11e-1000j | 
| 242.4332962807959244 + 3.5116715873937211778e-3247j | 1.46e-993, 1.46e-993j | 
| 56.53503614572984612 - 2.1163434112819301667e-3247j | 5.44e-986, 5.44e-986j | 
| 47.928318419677678761 - 5.0377245845564648217e-3253j | 3.99e-987, 3.99e-987j | 
| 191.38192803484327757 + 1.6443772682308386896e-3251j | 1.38e-988, 1.38e-988j | 
| 1.9068679500385456545 - 9.0664383401795287205e-3300j | 3.96e-1010, 3.96e-1010j | 
| 42.662505450956214576 - 5.2229921951899811532e-3276j | 5.35e-988, 5.35e-988j | 
| 154.65338858809373684 - 1.1850209515383345946e-3273j | 7.51e-986, 7.51e-986j | 
| 84.124982118652852849 - 1.5951628007101695699e-3286j | 3.64e-984, 3.64e-984j | 
| 16.652872089049288866 + 1.4937457898842908834e-3301j | 6.43e-996, 6.43e-996j | 
| 3.4142135623730950488 - 3.9591992517525937759e-3312j | 5.04e-1006, 5.04e-1006j | 
| 3.044505322586287243 + 2.1481087354579889723e-3312j | 4.77e-1007, 4.77e-1007j | 
| 183.24732196928338721 + 1.4493513433924034109e-3289j | 6.3e-988, 6.3e-988j | 
| 168.25304636849327882 + 1.1008316125700673804e-3311j | 8.93e-987, 8.93e-987j | 
| 28.968527628200095829 + 5.9567484497403003499e-3341j | 3.52e-991, 3.52e-991j | 
| 18.185586820714430903 - 8.5569455198415564931e-3346j | 3.49e-995, 3.49e-995j | 
| 0.68194558862039863547 - 3.0384109770518766945e-3363j | 1.81e-1013, 1.81e-1013j | 
| 72.927309087632371615 - 2.8669814479904446812e-3333j | 1.15e-984, 1.15e-984j | 
| 161.29706568435600279 + 1.0264757686442956898e-3365j | 2.88e-986, 2.88e-986j | 
| 37.756069264393559655 - 3.4917315379352825862e-3408j | 6.49e-989, 6.49e-989j | 
| 114.99879093497830926 + 1.6069613918445070091e-3413j | 4.26e-984, 4.26e-984j | 
| 0.47193845768537280597 - 7.0021483598747050646e-3499j | 1.11e-1014, 1.11e-1014j | 
| 15.192804546561252503 + 9.0851720377229556366e-3481j | 1.04e-996, 1.04e-996j | 
| 88.107523965009545652 - 3.1379166394531924052e-3467j | 4.36e-984, 4.36e-984j | 
| 142.19473757440438185 - 3.8539076786510099112e-3516j | 3.77e-985, 3.77e-985j | 
| 40.165251417067778274 - 2.2932634976628868486e-3555j | 1.77e-988, 1.77e-988j | 
| 5.1621868255721773363 - 5.053517774215975228e-3574j | 1.59e-1004, 1.59e-1004j | 
| 8.9471212919668647026 - 2.2432268868831810357e-3570j | 7.03e-1001, 7.03e-1001j | 
| 96.476346310096399417 - 1.9927546338757846752e-3552j | 5.83e-984, 5.83e-984j | 
| 136.33624977529986757 + 1.7884678356453319593e-3586j | 7.68e-985, 7.68e-985j | 
| 69.430995569495565264 + 5.3220494448692082685e-3605j | 7.46e-985, 7.46e-985j | 
| 110.12749869762819864 + 3.2687819079854187669e-3620j | 5.09e-984, 5.09e-984j | 
| 7.9024371868127594172 + 1.6687637922768309317e-3662j | 8.51e-1002, 8.51e-1002j | 
| 25.064436807985190912 - 6.7717219988400410801e-3653j | 1.95e-992, 1.95e-992j | 
| 50.700710866620564595 + 2.0410354033692013045e-3644j | 1.02e-986, 1.02e-986j | 
| 1.4425402026763935962 - 2.5724706141504132084e-3675j | 2.12e-1011, 2.12e-1011j | 
| 1.0406748406401594478 + 1.5203714025252890948e-3676j | 1.35e-1012, 1.35e-1012j | 
| 2.4365356063033129306 + 2.1476769218045049255e-3673j | 9.52e-1009, 9.52e-1009j | 
| 3.6239863863396469522 - 6.265132247694807421e-3670j | 8.72e-1006, 8.72e-1006j | 
| 59.601643572278379137 + 7.9529578869117377982e-3648j | 1.1e-985, 1.1e-985j | 
| 0.018838346879704572148 - 3.0058678357919509316e-3744j | 1.37e-1020, 1.37e-1020j | 
| 100.87384701138318167 - 9.9787952266618683642e-3686j | 6e-984, 6e-984j | 
| 4.3755228402662420656 - 6.4168844365695430579e-3749j | 2.44e-1005, 2.44e-1005j | 
| 0.5857864376269049512 + 2.5097083523237978453e-3757j | 9.13e-1014, 9.13e-1014j | 
| 31.040975392106020544 + 8.8922562896845572376e-3728j | 1.38e-990, 1.38e-990j | 
| 125.27501235557523945 - 2.8004437177125703937e-3732j | 2.13e-984, 2.13e-984j | 
| 6.0108786995830601177 - 1.4666034689375468993e-3772j | 1.36e-1003, 1.36e-1003j | 
| 76.539166692284585545 - 7.9041326066037612895e-3752j | 1.93e-984, 1.93e-984j | 
| 0.24564089761650009396 + 8.3854536265464147828e-3796j | 5.15e-1017, 5.15e-1017j | 
| 0.099430039245156716455 - 7.4152980150969544257e-3797j | 1.07e-1018, 1.07e-1018j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 5.8447943293080226306e-111 + 1.3448525361869154715e-2877j | 1.93e-148, 6.45e-891j | 
| 6.1029549284835603774e-95 + 3.8903591940327491181e-2868j | 1.2e-143, 4.02e-886j | 
| 1.1957636836719427788e-99 + 2.7227802901373057621e-2871j | 3.27e-145, 1.09e-887j | 
| 1.6337613903901675534e-118 - 1.289342714196606867e-2881j | 1.22e-151, 4.06e-894j | 
| 1.2002451992822970675e-86 + 6.983510064773379459e-2865j | 1.3e-141, 4.33e-884j | 
| 4.1710461745469379481e-09 + 1.2781971729576282644e-2824j | 2.51e-73, 8.37e-816j | 
| 3.7124188232904369534e-40 + 1.3138296992606709071e-2841j | 3.51e-120, 1.17e-862j | 
| 9.5445796009082233531e-57 + 3.9591982450075861448e-2850j | 1.84e-130, 6.13e-873j | 
| 1.7656862293031380269e-27 + 6.1484775705149735067e-2835j | 2.94e-109, 9.81e-852j | 
| 3.7547514564302165852e-12 + 1.891671187704180622e-2826j | 6.63e-85, 2.21e-827j | 
| 8.1202607624676378938e-10 - 4.6864351642920834743e-2825j | 4.14e-78, 1.38e-820j | 
| 0.00093044234611609369801 + 6.9391438908754970539e-2821j | 2.58e-48, 8.63e-791j | 
| 8.4143829966940186155e-15 - 5.5637045314649455143e-2828j | 1.89e-91, 6.3e-834j | 
| 6.8964787926395030008e-29 - 1.0915668343530095507e-2835j | 2.25e-111, 7.52e-854j | 
| 7.6039822898615006142e-46 - 1.4963591255705141275e-2844j | 1.33e-125, 4.43e-868j | 
| 1.4634286654091983654e-10 + 1.662940102870036345e-2825j | 8.62e-82, 2.88e-824j | 
| 9.3208019384822652109e-16 + 1.5947804971716062533e-2828j | 4.78e-94, 1.6e-836j | 
| 1.5972790981133394456e-05 + 2.8267818004161671079e-2822j | 2.98e-66, 9.95e-809j | 
| 1.585771198276468229e-23 - 8.2065875043251288499e-2833j | 1.51e-106, 5.04e-849j | 
| 5.871400367347960038e-20 + 7.2657444179940670468e-2831j | 5.81e-102, 1.94e-844j | 
| 1.2331755897483283461e-90 - 1.2164406768766999225e-2866j | 8.19e-147, 2.73e-889j | 
| 2.4604268362697228635e-64 - 5.7669659282900334008e-2854j | 4.4e-138, 1.47e-880j | 
| 5.2229827236850964494e-35 - 6.3974281837398852081e-2839j | 3.36e-120, 1.12e-862j | 
| 4.2814814932058201879e-76 - 8.0689488581051975045e-2860j | 3.28e-143, 1.1e-885j | 
| 4.8457442058870791757e-06 - 1.2275742836361647795e-2822j | 5.03e-77, 1.68e-819j | 
| 3.7664759986764103472e-52 + 8.7025585799439525364e-2848j | 3.28e-132, 1.1e-874j | 
| 1.3681665221225090419e-06 + 5.2076893199502787432e-2823j | 1.23e-79, 4.11e-822j | 
| 4.9033635075072005904e-05 - 6.3811586940062223897e-2822j | 1.36e-73, 4.53e-816j | 
| 6.7174412315959057028e-105 - 2.6770582754375605497e-2874j | 2.95e-153, 9.86e-896j | 
| 8.4444848967211705486e-25 + 1.683547108549920122e-2833j | 5.58e-112, 1.86e-854j | 
| 4.1725206362303114586e-21 - 1.7028973190418304833e-2831j | 2.98e-108, 9.97e-851j | 
| 6.4122668171089464017e-83 - 3.9371379079699028148e-2863j | 1.01e-145, 3.37e-888j | 
| 0.073747060735876300901 + 3.8452998550760987993e-2819j | 3.63e-52, 1.21e-794j | 
| 7.5346200761402967612e-19 - 2.9720000644053177141e-2830j | 9.68e-107, 3.23e-849j | 
| 4.4424592998921799345e-67 + 2.4210358274574382575e-2855j | 1.72e-140, 5.75e-883j | 
| 1.1429506598786625473e-36 + 8.6453989133464741311e-2840j | 1.49e-124, 4.98e-867j | 
| 8.7648422258257010575e-08 + 8.6527819603666951629e-2824j | 3.55e-91, 1.19e-833j | 
| -0.0080879263250517519892 - 1.3575701757101499443e-2818j | 5.44e-68, 1.82e-810j | 
| 0.032247010643218090412 + 7.5530385827739845827e-2819j | 3.34e-66, 1.11e-808j | 
| 2.0629684719647442449e-79 + 1.9290531794749172633e-2861j | 4.18e-145, 1.4e-887j | 
| 6.04354063232544474e-73 + 2.8914617151194230516e-2858j | 3.4e-143, 1.13e-885j | 
| 5.3336893375275397753e-13 - 6.0546067070738186315e-2827j | 5.12e-104, 1.71e-846j | 
| 1.9853200534764214454e-08 - 3.377135376221931632e-2824j | 5.92e-96, 1.98e-838j | 
| 0.21405220158164103773 - 3.1184449028631806285e-2818j | 1.78e-68, 5.94e-811j | 
| 7.5635544373151928943e-32 - 2.9467654084964933097e-2837j | 2.68e-123, 8.96e-866j | 
| 6.0498300283558979509e-70 - 8.9555032062529877119e-2857j | 2.59e-142, 8.64e-885j | 
| 9.4777985679808654848e-17 - 4.3989717427067034693e-2829j | 3.69e-110, 1.23e-852j | 
| 5.6477831398215327894e-50 - 1.1302957804756455752e-2846j | 4.38e-135, 1.46e-877j | 
| 0.19797785529641037143 - 2.0832998762446887489e-2818j | 3.39e-76, 1.13e-818j | 
| 3.5924139207861806846e-07 - 2.1526075232738728561e-2823j | 5.73e-98, 1.91e-840j | 
| 2.2010944730628367612e-38 - 1.0997697913362096213e-2840j | 2.08e-128, 6.93e-871j | 
| 1.0519613144568716713e-61 + 1.2208924064797178818e-2852j | 2.05e-140, 6.85e-883j | 
| 8.8336295601683136782e-18 + 1.1666304395375526301e-2829j | 1.65e-113, 5.52e-856j | 
| 0.0046808446211970139138 + 3.814170484951260334e-2820j | 8.81e-94, 2.94e-836j | 
| 0.00014026588498175438009 + 1.4191065032873445986e-2821j | 1.09e-97, 3.63e-840j | 
| 5.4549101791358462933e-42 - 1.4702574279087303083e-2842j | 1.71e-131, 5.72e-874j | 
| 3.5411234431320788693e-59 - 2.3150521737676976158e-2851j | 9.02e-140, 3.01e-882j | 
| 2.4156055495903505797e-30 + 1.8413823275123132578e-2836j | 4.14e-125, 1.38e-867j | 
| 7.1171326774440985494e-48 + 1.352299528208710798e-2845j | 7.52e-135, 2.51e-877j | 
| 0.00037407675858491147214 - 3.1319311508625549533e-2821j | 6.6e-103, 2.2e-845j | 
| 2.4389261530292977887e-11 - 5.7059537141856219325e-2826j | 2.13e-111, 7.11e-854j | 
| 2.6989584180773301507e-22 + 3.8221859784539279691e-2832j | 3.92e-120, 1.31e-862j | 
| 0.10222605048815651442 - 4.6156944560136971544e-2819j | 8.86e-98, 2.96e-840j | 
| 0.13148981144852776839 + 6.9237892710481936575e-2819j | 3.84e-97, 1.28e-839j | 
| 0.049322387062458453399 - 3.9513929631376045565e-2819j | 1.11e-99, 3.71e-842j | 
| 0.022548446060001296173 + 8.9719045880848577444e-2819j | 3.8e-101, 1.27e-843j | 
| 4.06598526097282504e-26 - 3.2957448279885710871e-2834j | 6.01e-123, 2.01e-865j | 
| 0.047459551380798293546 + 3.157541626957204176e-2820j | 2.41e-102, 8.03e-845j | 
| 6.9423923509205854653e-44 + 1.5369620522027263771e-2843j | 1.76e-133, 5.88e-876j | 
| 0.009534661110886623082 - 1.1026239328211411047e-2819j | 1.38e-105, 4.59e-848j | 
| -0.12423874341012829943 + 4.5101236527510137947e-2818j | 5.57e-102, 1.86e-844j | 
| 6.9826852218514854904e-14 + 1.8694224327805499347e-2827j | 6.23e-116, 2.08e-858j | 
| 2.0901623938835214104e-54 - 6.1447256896440620116e-2849j | 3.96e-139, 1.32e-881j | 
| 0.0021593549081312231091 - 1.5748303188531384602e-2820j | 3.74e-109, 1.25e-851j | 
| 2.1097488800372684701e-33 + 4.4658299946147445895e-2838j | 6.51e-128, 2.17e-870j | 
| 0.14104691651410180072 + 3.5559169031985922924e-2819j | 7.12e-108, 2.38e-850j | 
| 0.10231804065612164101 - 1.2758618436266189913e-2819j | 2.91e-108, 9.69e-851j | 
All rules of Laguerre type can be downloaded here packed into a single file.