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) | 
|---|---|
| 226.36092839478484065 - 1.8366337280662922665e-2705j | 1.39e-992, 1.39e-992j | 
| 252.56215850450859523 - 3.6050381679238208944e-2714j | 2.08e-995, 2.08e-995j | 
| 270.16619520560549743 - 1.4839310068847445879e-2718j | 2.29e-997, 2.29e-997j | 
| 215.48349898736262002 - 6.1803380448645786642e-2706j | 1.73e-991, 1.73e-991j | 
| 238.5085485449005926 + 5.1979701315840523718e-2714j | 7.19e-994, 7.19e-994j | 
| 164.77733527509056637 + 1.3572800583498043163e-2715j | 3.74e-987, 3.74e-987j | 
| 187.75215276611139823 - 8.4385419298576934254e-2723j | 5.93e-989, 5.93e-989j | 
| 85.334055928757234647 - 2.2507286610057609611e-2723j | 1.18e-984, 1.18e-984j | 
| 81.397173241365518059 + 8.4296618807939031326e-2724j | 8.59e-985, 8.59e-985j | 
| 19.859350560854749989 + 5.1592549171317149605e-2734j | 1.13e-994, 1.13e-994j | 
| 12.486507079040894342 - 2.6452462065556973617e-2738j | 1.74e-998, 1.74e-998j | 
| 40.539224746797960776 - 4.8764702830846624468e-2728j | 9.3e-989, 9.3e-989j | 
| 205.54525147193203054 + 5.0536948832384101154e-2726j | 1.54e-990, 1.54e-990j | 
| 70.336754676198381618 + 2.6963144250736638467e-2724j | 2.68e-985, 2.68e-985j | 
| 21.56170305749718165 + 1.6642032365637509368e-2734j | 6.15e-994, 6.15e-994j | 
| 89.403744305436061994 - 1.4649594439027821028e-2722j | 1.43e-984, 1.43e-984j | 
| 48.434827142330530379 - 1.7154024478830192545e-2733j | 1.84e-987, 1.84e-987j | 
| 23.342231978271849809 + 5.3201105436811565503e-2739j | 2.59e-993, 2.59e-993j | 
| 66.886357374431463433 - 1.689097821248422921e-2730j | 1.63e-985, 1.63e-985j | 
| 93.611560772845363098 - 2.1621931747403595207e-2728j | 1.64e-984, 1.64e-984j | 
| 60.318849123212608738 - 2.5483649429727699407e-2738j | 4.92e-986, 4.92e-986j | 
| 15.211605840957686646 + 1.6542966416182832892e-2749j | 6.82e-997, 6.82e-997j | 
| 63.548126528225785563 - 2.9006271420904617268e-2738j | 9.46e-986, 9.46e-986j | 
| 196.34583059125643826 - 1.1058439392743134922e-2736j | 1.05e-989, 1.05e-989j | 
| 73.902792693399688441 + 2.9343668281683698186e-2750j | 4.41e-985, 4.41e-985j | 
| 43.078441954441360553 + 5.6794106176537885708e-2762j | 2.78e-988, 2.78e-988j | 
| 8.9398109063601558453 + 7.1533836583581646119e-2775j | 5.35e-1001, 5.35e-1001j | 
| 31.267774725463357241 - 4.5103259643208436758e-2765j | 7.72e-991, 7.72e-991j | 
| 54.175460281201165012 - 2.1653922502070862373e-2758j | 1.08e-986, 1.08e-986j | 
| 172.02962391827567397 - 2.3883251513523680736e-2793j | 1.09e-987, 1.09e-987j | 
| 107.12535153897569545 - 3.0069907615491696776e-2853j | 1.54e-984, 1.54e-984j | 
| 18.23418324815800885 + 2.1137532098334901524e-2909j | 2.29e-995, 2.29e-995j | 
| 1.8998162242971575852 + 7.3860903585997880962e-2925j | 3.61e-1010, 3.61e-1010j | 
| 51.25601701231317251 - 4.7879068714924232866e-2899j | 4.93e-987, 4.93e-987j | 
| 33.456009679419150607 - 3.7298855171058020792e-2927j | 2.91e-990, 2.91e-990j | 
| 122.13430560174064995 - 1.8471969803157538611e-2948j | 6.51e-985, 6.51e-985j | 
| 25.2019756575098219 - 2.6176537772318818454e-3006j | 1.2e-992, 1.2e-992j | 
| 2.4183163745933149701 + 2.092145482923001005e-3027j | 7.92e-1009, 7.92e-1009j | 
| 13.812337970630723749 - 4.1136771888858175212e-3016j | 1.1e-997, 1.1e-997j | 
| 27.142028947015752249 - 5.1920568277862338192e-3003j | 5.22e-992, 5.22e-992j | 
| 102.46557024489394454 + 1.6409314285828813086e-3000j | 1.69e-984, 1.69e-984j | 
| 1.4402805525273090019 + 2.7642361492600815391e-3074j | 2.04e-1011, 2.04e-1011j | 
| 138.91319133308506102 - 4.6142379827830272212e-3046j | 1.37e-985, 1.37e-985j | 
| 7.897715395350053879 - 3.5917169296907916131e-3103j | 6.84e-1002, 6.84e-1002j | 
| 179.670024906429477 - 1.6991068252337455206e-3085j | 2.81e-988, 2.81e-988j | 
| 77.588236026170312401 + 2.4797137428174632774e-3116j | 6.47e-985, 6.47e-985j | 
| 45.709661979300971195 - 9.5310338177702464567e-3153j | 7.57e-988, 7.57e-988j | 
| 111.95063675830084872 - 1.0931935179594324642e-3202j | 1.26e-984, 1.26e-984j | 
| 0.47193845768537280597 + 3.5821959831991598809e-3309j | 1.05e-1014, 1.05e-1014j | 
| 5.1788322725793102764 + 2.0105365023012082405e-3294j | 1.68e-1004, 1.68e-1004j | 
| 151.27593948282694718 - 3.388379994761580147e-3278j | 2.93e-986, 2.93e-986j | 
| 3.7405574569087369047 - 2.4594614284690395564e-3365j | 6.33e-1006, 6.33e-1006j | 
| 11.233150964500157666 - 1.3404189639001355684e-3346j | 2.6e-999, 2.6e-999j | 
| 6.0177132910765452722 - 1.3751695929999125581e-3359j | 1.21e-1003, 1.21e-1003j | 
| 2.983179817722995532 - 8.2039591783955374145e-3369j | 2.16e-1007, 2.16e-1007j | 
| 97.963353205365308951 + 8.4115585553370522728e-3358j | 1.69e-984, 1.69e-984j | 
| 133.10198664049595423 + 3.7410758179251265458e-3446j | 2.52e-985, 2.52e-985j | 
| 38.090194658484202968 - 2.9326487794021225983e-3493j | 3.06e-989, 3.06e-989j | 
| 144.96455184107457405 + 2.085892996917724626e-3537j | 6.89e-986, 6.89e-986j | 
| 1.0406748406401594478 - 3.73729169143535462e-3639j | 1.23e-1012, 1.23e-1012j | 
| 10.051267193763907511 - 3.9608949647523480737e-3617j | 3.85e-1000, 3.85e-1000j | 
| 127.51392687077237614 + 7.6599470465842904496e-3610j | 4.32e-985, 4.32e-985j | 
| 157.87083180568366307 - 9.219878016925522985e-3660j | 1.15e-986, 1.15e-986j | 
| 6.9239565457104964806 - 9.8651344908375894664e-3697j | 9.25e-1003, 9.25e-1003j | 
| 29.163551409988713763 + 5.1366291256327890982e-3685j | 2.07e-991, 2.07e-991j | 
| 4.4099626576024234506 - 1.874945109148916453e-3699j | 2.71e-1005, 2.71e-1005j | 
| 16.685245850252006032 - 7.3606531745373933268e-3691j | 4.16e-996, 4.16e-996j | 
| 0.018882491139866418489 + 5.3755727591680634376e-3714j | 1.53e-1020, 1.53e-1020j | 
| 57.19554810081711874 - 1.080178663069101492e-3678j | 2.59e-986, 2.59e-986j | 
| 0.68375466082899932417 - 3.3273543927097860362e-3713j | 1.67e-1013, 1.67e-1013j | 
| 0.5857864376269049512 + 5.9100395342071109762e-3713j | 8.46e-1014, 8.46e-1014j | 
| 35.729653052484682017 + 3.4738214894678529575e-3689j | 9.49e-990, 9.49e-990j | 
| 116.95029846259003806 - 8.1193633454089286239e-3684j | 9.23e-985, 9.23e-985j | 
| 0.099638285724864144836 + 1.8741983212887531924e-3728j | 8.89e-1019, 8.89e-1019j | 
| 0.24603012782415396459 + 6.7611610645440807405e-3727j | 6.1e-1017, 6.1e-1017j | 
| 3.4142135623730950488 - 1.250353918390934746e-3716j | 2.12e-1006, 2.12e-1006j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 5.6385037509981196605e-98 - 1.8669403406185661021e-2789j | 9.93e-146, 5.01e-891j | 
| 3.1677427417064384325e-109 - 2.9420906628676559348e-2795j | 1.21e-149, 6.1e-895j | 
| 9.6621757353742160122e-117 + 4.0032843551482270589e-2799j | 2.85e-152, 1.44e-897j | 
| 2.7060913708567727965e-93 + 4.919231269423594912e-2787j | 3.3e-145, 1.67e-890j | 
| 3.3837671478631823224e-103 + 3.7624485349187858177e-2792j | 5.89e-148, 2.97e-893j | 
| 1.9396465855393319828e-71 + 1.1553208079666016436e-2775j | 2.55e-139, 1.29e-884j | 
| 2.4023622822687459491e-81 - 7.8004751734562999023e-2781j | 1.77e-142, 8.93e-888j | 
| 3.4850988762094899644e-37 - 2.263137985422701945e-2757j | 3.72e-122, 1.88e-867j | 
| 1.7282532306835940247e-35 + 1.948421718832867743e-2756j | 6.03e-121, 3.04e-866j | 
| 3.946772128987682704e-09 + 2.2967577549725063513e-2741j | 5.69e-83, 2.87e-828j | 
| 4.8705351583026471064e-06 - 2.1030540107152058914e-2739j | 3.52e-70, 1.78e-815j | 
| 6.1788183352400176929e-18 + 1.7002382877497723675e-2745j | 3.08e-103, 1.55e-848j | 
| 5.1580618379352714072e-89 - 8.1123578360865876492e-2785j | 6.15e-146, 3.1e-891j | 
| 9.9574364837783446194e-31 - 1.1145332032374851108e-2753j | 3.92e-118, 1.97e-863j | 
| 7.5290111000817524555e-10 - 9.7037148614941214938e-2742j | 2.16e-87, 1.09e-832j | 
| 6.1548742728807288927e-39 + 2.4638218281013547494e-2758j | 2.18e-124, 1.1e-869j | 
| 2.5582521503481406795e-21 + 4.8956927165489369054e-2748j | 1.1e-109, 5.54e-855j | 
| 1.3263526793400686711e-10 + 3.5024835956049898507e-2742j | 6.5e-91, 3.28e-836j | 
| 3.0360219724781830876e-29 + 7.3896787986659479475e-2753j | 2.19e-117, 1.1e-862j | 
| 9.4696934939512353137e-41 - 2.4988486925382084582e-2759j | 7.9e-127, 3.98e-872j | 
| 2.0216752510897169639e-26 + 3.1549194165009022157e-2751j | 6.96e-116, 3.51e-861j | 
| 3.5557279910637732982e-07 - 3.7052272577342182951e-2740j | 9.72e-86, 4.9e-831j | 
| 8.2737390800871413755e-28 - 4.8562677607894273151e-2752j | 9.03e-117, 4.55e-862j | 
| 4.7469691616654322558e-85 + 9.25242900776705363e-2783j | 2.71e-149, 1.37e-894j | 
| 2.9089980064132959378e-32 + 1.1905947470533680027e-2754j | 1.17e-120, 5.88e-866j | 
| 5.0549293303754264183e-19 + 2.8978081575918884562e-2746j | 3.12e-110, 1.57e-855j | 
| 0.00014110526530211453061 + 2.4653311998036697191e-2738j | 1.39e-80, 6.99e-826j | 
| 5.6520819326073329451e-14 + 6.1425435472473904243e-2744j | 8.26e-105, 4.16e-850j | 
| 8.8015333765353345304e-24 + 1.2482827435110672391e-2749j | 5.88e-115, 2.97e-860j | 
| 1.44533204122885874e-74 - 2.6721839329979456733e-2777j | 1.78e-147, 8.99e-893j | 
| 1.4188401536661679894e-46 + 1.7350982063591527668e-2762j | 9.05e-135, 4.56e-880j | 
| 1.9122433830535565278e-08 - 5.8374429124233070878e-2741j | 2.62e-96, 1.32e-841j | 
| 0.073237448512516477549 + 6.160982846643163958e-2736j | 2.37e-60, 1.2e-805j | 
| 1.5763994040971346987e-22 - 7.7418473263642898858e-2749j | 1.57e-114, 7.9e-860j | 
| 6.5868921671995001961e-15 - 2.2965197637186239926e-2744j | 5.52e-108, 2.79e-853j | 
| 4.7903121496304297773e-53 - 5.9021781662926875386e-2766j | 1.02e-139, 5.14e-885j | 
| 2.1558003962505123744e-11 - 1.28722206801930561e-2742j | 2.67e-103, 1.35e-848j | 
| 0.048645848325433376977 - 6.142222638065056844e-2736j | 3.17e-71, 1.6e-816j | 
| 1.3667209807361230133e-06 + 8.9265220897777462677e-2740j | 3.15e-95, 1.59e-840j | 
| 3.2296906709249666581e-12 + 4.6769162651295888655e-2743j | 7.02e-105, 3.54e-850j | 
| 1.4474704334822997263e-44 - 2.1087305301715786397e-2761j | 7.5e-134, 3.78e-879j | 
| 0.10169802387433955565 - 7.4029473212292330308e-2736j | 4.16e-69, 2.1e-814j | 
| 2.7777464842444250973e-60 + 8.5075233600561192085e-2770j | 1.32e-144, 6.68e-890j | 
| 0.00037447713169649217975 - 5.4717977326474774858e-2738j | 9.55e-94, 4.81e-839j | 
| 7.3322060148013301554e-78 + 5.0962042972710562477e-2779j | 7.88e-151, 3.97e-896j | 
| 7.5418979447439430088e-34 - 1.5874322346592106823e-2755j | 2.52e-126, 1.27e-871j | 
| 3.7699322514733366497e-20 - 3.3327239127747629192e-2747j | 5.88e-117, 2.97e-862j | 
| 1.1792832499378347561e-48 - 1.3192774835912968952e-2763j | 9.26e-138, 4.67e-883j | 
| 0.19623563882781932737 - 3.240578166278193254e-2735j | 4.17e-82, 2.1e-827j | 
| 0.0045348509355873051699 + 6.6347101419915675285e-2737j | 3.09e-96, 1.56e-841j | 
| 1.2917504086406240153e-65 + 1.3132981278754788798e-2772j | 1.47e-147, 7.4e-893j | 
| 0.013412365313929076659 + 7.3121886756420531504e-2736j | 3.2e-94, 1.61e-839j | 
| 1.6104800405639575653e-05 + 4.8563889059245015085e-2739j | 8.99e-104, 4.53e-849j | 
| 0.0021250789090648464995 - 2.7617376765444870675e-2737j | 9.17e-99, 4.62e-844j | 
| 0.028815995215892444667 + 8.5534593654765236774e-2736j | 6.43e-93, 3.24e-838j | 
| 1.2619887509532977279e-42 + 2.3783991788552295264e-2760j | 7.11e-134, 3.58e-879j | 
| 8.9163740743262299227e-58 - 1.8051531661986562629e-2768j | 3.86e-144, 1.95e-889j | 
| 6.8970853908072753458e-17 - 4.8365616841908548622e-2745j | 1.07e-119, 5.38e-865j | 
| 6.8159788158412154646e-63 - 3.5636088143066187028e-2771j | 9.32e-147, 4.7e-892j | 
| 0.13094724710008860722 + 1.10287604813664456e-2735j | 7.39e-98, 3.73e-843j | 
| 4.9449450730565504976e-05 - 1.1018665885716094319e-2738j | 2.71e-109, 1.36e-854j | 
| 2.2924995096594573969e-55 + 3.4341343840282884322e-2767j | 3.37e-143, 1.7e-888j | 
| 1.8475116801571161551e-68 - 4.2075764579105433368e-2774j | 1.37e-149, 6.88e-895j | 
| 0.00092479027352941866613 + 1.216918645383905454e-2737j | 6.87e-110, 3.46e-855j | 
| 4.4551102816986479175e-13 - 1.6900541892177451634e-2743j | 1.29e-119, 6.5e-865j | 
| 0.0088791900058974023024 - 1.842831946334112759e-2736j | 4.04e-109, 2.04e-854j | 
| 8.5702383757110162212e-08 + 1.4993929619567536767e-2740j | 2.38e-115, 1.2e-860j | 
| 0.047565983672979714786 + 4.8895054777601904706e-2737j | 1.52e-109, 7.66e-855j | 
| 4.4422637430752607681e-25 - 2.0024125605831703196e-2750j | 2.8e-127, 1.41e-872j | 
| 0.20973508494009762468 - 4.8023206247272173849e-2735j | 5.13e-109, 2.59e-854j | 
| -0.11820597713928171912 + 6.9513002746067761492e-2735j | 6.33e-109, 3.19e-854j | 
| 7.0421317403898613566e-16 + 9.3045886985371138337e-2745j | 5.16e-122, 2.6e-867j | 
| 8.2386235799123949644e-51 + 9.2256367835902807731e-2765j | 2.83e-141, 1.43e-886j | 
| 0.10247852392661379317 - 1.9811779634050270107e-2736j | 4.23e-112, 2.13e-857j | 
| 0.14108032161642038131 + 5.5473789514769541156e-2736j | 7.59e-112, 3.81e-857j | 
| 0.007301746529576221652 - 1.1277844467175423685e-2735j | 3.83e-112, 1.96e-857j | 
All rules of Laguerre type can be downloaded here packed into a single file.