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) | 
|---|---|
| 244.70651419931500937 - 2.9677653461964355678e-2843j | 5.36e-996, 5.36e-996j | 
| 198.21608913123931762 - 3.2042505460977566495e-2832j | 3.19e-991, 3.19e-991j | 
| 262.13335800845985233 + 2.4429553626470931003e-2849j | 5.37e-998, 5.37e-998j | 
| 230.80154535870422482 + 4.3651295166371975718e-2841j | 1.71e-994, 1.71e-994j | 
| 172.67217948140488771 - 1.0965530302011010536e-2841j | 5.44e-989, 5.44e-989j | 
| 38.985668906427563824 - 4.3623243104359338968e-2858j | 1.56e-989, 1.56e-989j | 
| 68.839607737975673296 + 1.4656098644496163496e-2870j | 3.52e-986, 3.52e-986j | 
| 34.201069488476219692 - 1.558724876686594814e-2896j | 1.59e-990, 1.59e-990j | 
| 218.78809263462201824 - 8.8501761839034902768e-2891j | 3.06e-993, 3.06e-993j | 
| 15.982873980601701783 - 1.1370083505515389209e-2919j | 4.57e-996, 4.57e-996j | 
| 6.6831825242569497156 - 3.8320326348772738682e-2927j | 2.78e-1003, 2.78e-1003j | 
| 23.805416938875021031 - 4.9617027112944175179e-2915j | 2.9e-993, 2.9e-993j | 
| 79.987274038727333656 - 1.30104504869734697e-2908j | 1.11e-985, 1.11e-985j | 
| 65.368529143396647016 - 1.8887092248317106967e-2945j | 2.15e-986, 2.15e-986j | 
| 126.80665537031266103 + 2.6886689569433820888e-2965j | 3.97e-986, 3.97e-986j | 
| 20.283359844449530172 + 2.6552461942322040016e-2992j | 2.18e-994, 2.18e-994j | 
| 157.9872620664984887 + 2.5115866233711410195e-2983j | 6.81e-988, 6.81e-988j | 
| 132.52086584572442132 - 1.930083453299210729e-3009j | 2.12e-986, 2.12e-986j | 
| 106.03764760814957745 + 3.4284002036090651565e-3044j | 1.65e-985, 1.65e-985j | 
| 208.03569788312306858 - 8.8707186946150182054e-3065j | 3.79e-992, 3.79e-992j | 
| 189.13054535349371357 + 1.4048635125242585651e-3065j | 2.15e-990, 2.15e-990j | 
| 27.698341926245238771 + 1.4079991611678969587e-3088j | 4.29e-992, 4.29e-992j | 
| 101.30702888926095113 + 1.0119263255397508421e-3081j | 1.69e-985, 1.69e-985j | 
| 138.47442512777645871 - 3.5818456993770323316e-3111j | 1.1e-986, 1.1e-986j | 
| 96.741708100341798797 + 4.0719955840699659722e-3131j | 1.76e-985, 1.76e-985j | 
| 165.13664583163302604 - 9.3636050543745248631e-3160j | 2e-988, 2e-988j | 
| 25.70742837300433328 - 3.1538923576018131393e-3189j | 1.09e-992, 1.09e-992j | 
| 7.6644649305902576873 + 1.5645313740900327945e-3198j | 2.81e-1002, 2.81e-1002j | 
| 13.53176806659035597 - 2.1893332166372292389e-3194j | 1.52e-997, 1.52e-997j | 
| 44.142897781579996442 - 2.0489394563116554456e-3182j | 1.19e-988, 1.19e-988j | 
| 151.1820322928766312 - 3.4544656566598974564e-3223j | 1.84e-987, 1.84e-987j | 
| 3.540933177206991649 + 6.4551216664046940919e-3286j | 5.65e-1007, 5.65e-1007j | 
| 29.777366843141835609 - 2.4991902427387063155e-3265j | 1.48e-991, 1.48e-991j | 
| 8.7167571310436567737 + 7.7147373136320222383e-3301j | 2.79e-1001, 2.79e-1001j | 
| 72.43033882725228795 + 2.104133462779363162e-3315j | 5.53e-986, 5.53e-986j | 
| 17.245705136059815078 + 1.7516956596547451475e-3378j | 1.7e-995, 1.7e-995j | 
| 121.31491652899614046 - 2.7661058004774670925e-3376j | 6.3e-986, 6.3e-986j | 
| 2.0354008004343512531 + 1.3520747119237024436e-3440j | 6.71e-1010, 6.71e-1010j | 
| 12.261138340267688682 - 2.02333370472612756e-3428j | 1.86e-998, 1.86e-998j | 
| 110.94236218257696079 - 1.9443510583749272662e-3414j | 1.22e-985, 1.22e-985j | 
| 21.995042375079335177 - 4.4816510865926226772e-3463j | 7.99e-994, 7.99e-994j | 
| 92.333814005221071926 - 1.6708126090152065667e-3452j | 1.74e-985, 1.74e-985j | 
| 88.076270314362594394 - 2.3684230028240880868e-3500j | 1.62e-985, 1.62e-985j | 
| 2.5088464594793843486 + 5.1587746552521947561e-3548j | 7.68e-1009, 7.68e-1009j | 
| 0.22284660417926068946 + 6.5649240038858369524e-3556j | 3.34e-1017, 3.34e-1017j | 
| 14.784373782960315006 + 1.0130937481020898348e-3534j | 1.09e-996, 1.09e-996j | 
| 46.865777157644118939 - 1.4619467674917032329e-3523j | 2.81e-988, 2.81e-988j | 
| 4.1945530938283806692 + 5.7835532642353860841e-3556j | 4.02e-1006, 4.02e-1006j | 
| 1.1889321016726230307 - 4.4396512522711848016e-3561j | 2.36e-1012, 2.36e-1012j | 
| 83.962687627264106807 + 1.1463272608127995682e-3533j | 1.35e-985, 1.35e-985j | 
| 180.64705587786647896 + 4.6116139146055894127e-3555j | 1.15e-989, 1.15e-989j | 
| 144.68704912515873393 + 1.3381201677340626885e-3585j | 4.61e-987, 4.61e-987j | 
| 36.547604711424621543 + 8.8621911912673672565e-3609j | 5.26e-990, 5.26e-990j | 
| 5.7751435691045105018 - 1.4612879051191575551e-3651j | 3.31e-1004, 3.31e-1004j | 
| 0.59691770256722293719 + 5.4353448227670310687e-3662j | 1.05e-1014, 1.05e-1014j | 
| 62.013389370330164739 - 9.3500840868315981068e-3632j | 1.22e-986, 1.22e-986j | 
| 2.9927363260593140777 - 9.4696323017904788593e-3687j | 7.36e-1008, 7.36e-1008j | 
| 31.944693112808295099 - 4.8569843574016230107e-3664j | 5.16e-991, 5.16e-991j | 
| 52.610681362958574403 + 9.3206217192850778848e-3695j | 1.62e-987, 1.62e-987j | 
| 0.017961328517581336628 + 5.3784745606100086834e-3784j | 1.61e-1020, 1.61e-1020j | 
| 0.09339533820209298647 - 1.5012174431053634922e-3782j | 8.34e-1019, 8.34e-1019j | 
| 76.144760613375000341 - 5.3361549864156052206e-3748j | 7.93e-986, 7.93e-986j | 
| 4.9435180735107523559 - 4.2112581415534613225e-3791j | 3.64e-1005, 3.64e-1005j | 
| 41.516843683515998834 + 3.4459504192248421011e-3771j | 4.38e-989, 4.38e-989j | 
| 11.022118363439274326 + 2.4114491878489483432e-3797j | 2.09e-999, 2.09e-999j | 
| 0.85713202981591944904 - 5.6890306787859524118e-3810j | 1.52e-1013, 1.52e-1013j | 
| 49.687603941641300733 + 1.7342018638372954362e-3781j | 7.17e-988, 7.17e-988j | 
| 116.03105938241494739 - 2.2453105538873653915e-3804j | 9.39e-986, 9.39e-986j | 
| 9.8374674183825899177 - 4.8419445296446151779e-3828j | 2.31e-1000, 2.31e-1000j | 
| 18.68772883882461834 - 1.756013018670410334e-3822j | 6.18e-995, 6.18e-995j | 
| 0.39291634704120916978 + 2.4666643812621348018e-3843j | 6.96e-1016, 6.96e-1016j | 
| 1.5866209809572019869 - 1.0195145994603492601e-3838j | 3.78e-1011, 3.78e-1011j | 
| 55.637503145333231344 + 1.3247784260304403049e-3812j | 3.38e-987, 3.38e-987j | 
| 58.770766633440145384 - 3.1855012488588763479e-3817j | 6.7e-987, 6.7e-987j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 8.0890694060097405379e-106 + 1.9552914343582580231e-2923j | 2.32e-156, 7.68e-901j | 
| 7.7658236575806198809e-86 + 4.2740432497242389065e-2913j | 2.63e-150, 8.7e-895j | 
| 2.9472330374208329266e-113 - 2.8813059592674209606e-2927j | 4.39e-159, 1.45e-903j | 
| 7.443625833177272432e-100 - 2.3400470345808965954e-2920j | 6.28e-155, 2.08e-899j | 
| 7.915129454282856075e-75 - 2.3299871356975386856e-2907j | 1.74e-147, 5.76e-892j | 
| 2.9103827844786583993e-17 + 7.4091556424688573673e-2875j | 1.38e-105, 4.56e-850j | 
| 4.4786272496882042161e-30 - 3.0005989794834322172e-2883j | 2.37e-122, 7.84e-867j | 
| 3.2257260222451323005e-15 + 4.3286835386142903329e-2874j | 2.67e-102, 8.82e-847j | 
| 1.0841261981194142676e-94 + 1.0941891805443331754e-2917j | 7.51e-154, 2.48e-898j | 
| 1.3718757424114297864e-07 + 1.8956717053473587991e-2869j | 1.3e-82, 4.29e-827j | 
| 0.0011830171753176298829 + 1.4483751073771612059e-2867j | 1.64e-59, 5.43e-804j | 
| 8.5157985681300228709e-11 - 8.965289740441910668e-2872j | 2.48e-93, 8.2e-838j | 
| 7.1439232200750157238e-35 + 5.7189531214029148e-2886j | 2.22e-127, 7.36e-872j | 
| 1.3927819953155205184e-28 + 2.1950489674661218053e-2882j | 2.71e-121, 8.96e-866j | 
| 4.7510093964772529767e-55 + 6.2130204467767483182e-2897j | 3.25e-141, 1.08e-885j | 
| 2.5740077740203650241e-09 - 8.7831738416967927177e-2871j | 1.17e-92, 3.88e-837j | 
| 1.6994287062475852802e-68 - 4.8435258735157952928e-2904j | 2.6e-147, 8.6e-892j | 
| 1.6317423265105736967e-57 - 3.0399217375662478186e-2898j | 1.32e-142, 4.36e-887j | 
| 4.2769253528128075583e-46 + 3.9476926118612088811e-2892j | 1.28e-137, 4.25e-882j | 
| 4.5894569875714172201e-90 - 2.729059946643268088e-2915j | 5.16e-155, 1.71e-899j | 
| 6.3748078757608641776e-82 - 4.640686901855824297e-2911j | 1.76e-152, 5.81e-897j | 
| 1.9025114137976328052e-12 - 9.6119504281914672206e-2873j | 2.9e-107, 9.59e-852j | 
| 4.6778932638630226411e-44 - 5.0271302131734101107e-2891j | 1.91e-137, 6.32e-882j | 
| 4.4176541348319039132e-60 + 1.3232399204743739099e-2899j | 6.2e-145, 2.05e-889j | 
| 4.339182002989047505e-42 + 5.9233684180120650586e-2890j | 5.93e-137, 1.96e-881j | 
| 1.4042534544113217071e-71 + 1.1691431870473705113e-2905j | 1.31e-149, 4.32e-894j | 
| 1.3326220040564105132e-11 + 2.9163431961714126301e-2872j | 1.69e-109, 5.58e-854j | 
| 0.00047725452770518695368 - 7.8719435685818667362e-2868j | 1.26e-88, 4.16e-833j | 
| 1.6899881664151869707e-06 + 5.3422505695349455207e-2869j | 4.46e-99, 1.47e-843j | 
| 1.8037038762191126e-19 - 1.3038140602903228304e-2876j | 2.21e-122, 7.32e-867j | 
| 1.4620877989519597272e-65 + 1.6922265473042417685e-2902j | 1.04e-147, 3.45e-892j | 
| 0.017402820783330081888 + 1.9812642223662543917e-2866j | 2.55e-79, 8.42e-824j | 
| 2.4821152936525766114e-13 + 3.2330079600865134955e-2873j | 1.07e-113, 3.54e-858j | 
| 0.00017807384731208656226 + 4.3536462897022183102e-2868j | 4.5e-94, 1.49e-838j | 
| 1.2776719936550993874e-31 + 3.9167851389211847195e-2884j | 2.56e-132, 8.48e-877j | 
| 4.3690452714452621358e-08 - 8.1330071183572405686e-2870j | 2.18e-105, 7.22e-850j | 
| 1.1087406382063439499e-52 - 1.1396032451066056088e-2895j | 4.84e-143, 1.6e-887j | 
| 0.060941845980220083174 - 4.5048042388407656688e-2866j | 3.79e-78, 1.25e-822j | 
| 5.9643888212134665977e-06 - 8.5142659138543400574e-2869j | 3.74e-102, 1.24e-846j | 
| 3.2875785528150329233e-48 - 2.8544401341087311658e-2893j | 3.31e-141, 1.1e-885j | 
| 4.9416326554464572615e-10 + 2.7891506425878466105e-2871j | 3.93e-111, 1.3e-855j | 
| 3.4401900127206916916e-40 - 6.4868485883155361652e-2889j | 4.21e-138, 1.39e-882j | 
| 2.3475273416365289058e-38 + 6.6301421058386941164e-2888j | 1e-137, 3.32e-882j | 
| 0.038731499020801010062 + 4.1825005563090946823e-2866j | 2.97e-90, 9.84e-835j | 
| 0.12204791403533537266 - 2.9214819335188104587e-2866j | 3.69e-87, 1.22e-831j | 
| 4.6395943890998749141e-07 - 3.386877017292810656e-2869j | 5.68e-109, 1.88e-853j | 
| 1.2281244995137676795e-20 + 1.8493410482785054975e-2877j | 7.1e-129, 2.35e-873j | 
| 0.010615441937422792658 - 1.0269900011580198667e-2866j | 4.26e-98, 1.41e-842j | 
| 0.11162905219946481106 - 5.2517831385418071409e-2866j | 3.26e-87, 1.08e-831j | 
| 1.3875031393836995467e-36 - 6.3495027096835489319e-2887j | 3.87e-137, 1.28e-881j | 
| 2.8882791908964128223e-78 + 3.7322359174848392675e-2909j | 4.01e-157, 1.33e-901j | 
| 9.246083623150272217e-63 - 5.0725764096607456542e-2901j | 8.74e-150, 2.89e-894j | 
| 3.2088371171589938525e-16 - 2.1396381579359745062e-2874j | 8.57e-126, 2.83e-870j | 
| 0.0027018778508385583465 - 2.7176543772359299785e-2867j | 2.17e-107, 7.19e-852j | 
| 0.12507832071187220802 - 6.07442550391884302e-2866j | 8.15e-97, 2.7e-841j | 
| 3.8567527645005603493e-27 - 1.5403273965065196726e-2881j | 7.62e-135, 2.52e-879j | 
| 0.025236623125255361357 - 3.2671886364239149063e-2866j | 4.46e-104, 1.47e-848j | 
| 2.960197727103301812e-14 - 1.1313653638135299317e-2873j | 3.92e-124, 1.3e-868j | 
| 4.2158769306162091783e-23 + 4.4136927248498157105e-2879j | 2.57e-133, 8.5e-878j | 
| 0.04514555082610265846 - 3.5067039167822363686e-2867j | 5.07e-103, 1.68e-847j | 
| 0.094742272011708511999 + 1.3273369766470492742e-2866j | 8.65e-103, 2.86e-847j | 
| 3.2209079183923829206e-33 - 4.8623688097825829323e-2885j | 1e-137, 3.31e-882j | 
| 0.0056448130729992397049 + 5.2232459250682350045e-2867j | 2.98e-112, 9.85e-857j | 
| 2.403245438190314746e-18 + 1.1768783142945958074e-2875j | 2.28e-129, 7.53e-874j | 
| 1.9834465552313894402e-05 + 1.4194197734955578769e-2868j | 1.17e-118, 3.88e-863j | 
| 0.12554172121620644688 + 5.9207087667390278268e-2866j | 3.73e-110, 1.23e-854j | 
| 7.5707725552029554524e-22 - 2.8282854821067247488e-2878j | 1.8e-132, 5.96e-877j | 
| 2.1039765358162944972e-50 + 1.8902619054906430615e-2894j | 1.97e-147, 6.51e-892j | 
| 6.1621659394206277421e-05 - 2.4543753691746487664e-2868j | 1.22e-119, 4.02e-864j | 
| 1.1691497992355782054e-08 + 2.767370205128649491e-2870j | 7.87e-123, 2.6e-867j | 
| 0.12534378533847435756 + 4.8854840148154460675e-2866j | 1.75e-115, 5.78e-860j | 
| 0.087268346139896447493 + 4.7554516646229060633e-2866j | 1.53e-116, 5.06e-861j | 
| 2.1155837867423070187e-24 - 6.8509187855753981232e-2880j | 6.73e-135, 2.23e-879j | 
| 9.5416183217436555568e-26 + 1.0424522686633524105e-2880j | 1.15e-135, 3.81e-880j | 
All rules of Laguerre type can be downloaded here packed into a single file.