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) | 
|---|---|
| 294.07933281027132347 - 3.0627591627744464656e-2333j | 2.62e-992, 2.62e-992j | 
| 254.88863904084881544 + 2.8458218753182989986e-2328j | 4.37e-988, 4.37e-988j | 
| 266.41280751062465035 - 2.6192352826457676748e-2329j | 2.89e-989, 2.89e-989j | 
| 234.55010846315850132 + 5.3466041369308605531e-2326j | 4.3e-986, 4.3e-986j | 
| 216.7534881077147026 + 2.5882187569634229884e-2324j | 1.56e-984, 1.56e-984j | 
| 200.79183532819062317 + 1.6560562564957131445e-2319j | 3.03e-983, 3.03e-983j | 
| 93.144176241027476482 - 3.0072223094780702606e-2320j | 1.03e-979, 1.03e-979j | 
| 53.84493420464154435 - 1.0474643205445415746e-2324j | 4.87e-983, 4.87e-983j | 
| 312.60316152715957633 + 3.5352874996341917681e-2338j | 1.97e-994, 1.97e-994j | 
| 14.09102245317588889 - 1.2272579175262516499e-2338j | 9.67e-996, 9.67e-996j | 
| 179.43944014841025632 + 1.2203946566211785673e-2320j | 1.03e-981, 1.03e-981j | 
| 109.5682117157167958 + 1.2056134802992833559e-2332j | 2.15e-979, 2.15e-979j | 
| 166.5793307842661049 - 4.5890785896423623609e-2358j | 6.03e-981, 6.03e-981j | 
| 123.21562715445610814 - 7.5320483617389807227e-2377j | 1.99e-979, 1.99e-979j | 
| 12.820387794661044222 + 2.0458995071683913949e-2404j | 1.35e-996, 1.35e-996j | 
| 193.36502013044822575 + 1.5274175096553606965e-2388j | 1.16e-982, 1.16e-982j | 
| 56.619441112638875913 + 7.5899229012977348991e-2391j | 1.26e-982, 1.26e-982j | 
| 85.615343497186071679 - 3.4730557359100199171e-2388j | 5.02e-980, 5.02e-980j | 
| 101.11828896558794394 + 2.6404457046128460579e-2387j | 1.76e-979, 1.76e-979j | 
| 186.25730262008242459 + 3.5438942204157245399e-2393j | 3.71e-982, 3.71e-982j | 
| 8.384515107393724639 - 4.4526626422984456904e-2424j | 3.97e-1000, 3.97e-1000j | 
| 18.290706429507267519 - 1.1336943197160785574e-2417j | 2.58e-993, 2.58e-993j | 
| 48.542245496366903785 - 6.70536115471030431e-2408j | 6.52e-984, 6.52e-984j | 
| 28.478853867495027988 - 1.5745353224177200196e-2413j | 5.31e-989, 5.31e-989j | 
| 75.100663713851232707 + 6.0845818819250383105e-2403j | 1.12e-980, 1.12e-980j | 
| 105.28167007950715735 - 4.4674336687541969057e-2415j | 1.93e-979, 1.93e-979j | 
| 6.5808186538932338185 + 2.8986784127962371515e-2475j | 8.04e-1002, 8.04e-1002j | 
| 3.921234952958429279 + 2.1997271823942002154e-2478j | 1.74e-1005, 1.74e-1005j | 
| 16.825831111348435025 - 3.2719448430369822709e-2467j | 4.23e-994, 4.23e-994j | 
| 118.52986313041440572 - 5.6261461725587087784e-2452j | 2.3e-979, 2.3e-979j | 
| 244.33736594419029091 + 4.4290338343002704982e-2475j | 4.89e-987, 4.89e-987j | 
| 172.88700741872586367 - 1.2524973349545706298e-2500j | 2.53e-981, 2.53e-981j | 
| 225.38818703113145157 + 1.8018055007042040035e-2558j | 2.9e-985, 2.9e-985j | 
| 133.0276587721984391 - 1.2948349404651698328e-2630j | 1.25e-979, 1.25e-979j | 
| 43.558153659524285207 - 2.2443010692231549281e-2671j | 6.62e-985, 6.62e-985j | 
| 279.25515534040974496 - 1.7061603344511613541e-2676j | 1.18e-990, 1.18e-990j | 
| 41.182201005413743743 + 1.8203275004874964135e-2705j | 2.09e-985, 2.09e-985j | 
| 5.81155539981285343 + 1.2347443464770668266e-2773j | 1.17e-1002, 1.17e-1002j | 
| 5.1468147802300782703 - 7.5581220147361487447e-2776j | 1.73e-1003, 1.73e-1003j | 
| 113.98257999603066316 - 1.6796159795353901494e-2757j | 2.23e-979, 2.23e-979j | 
| 46.011070537823162809 - 1.1233065135083752843e-2804j | 2.05e-984, 2.05e-984j | 
| 138.16810577900331351 + 2.2249876049173579012e-2833j | 9.51e-980, 9.51e-980j | 
| 15.426071415297882474 - 6.8623441441632666618e-2873j | 6.78e-995, 6.78e-995j | 
| 82.009573595048246095 + 8.1204134066040932342e-2857j | 3.35e-980, 3.35e-980j | 
| 62.422961173936391477 - 8.2941900235237183675e-2869j | 6.77e-982, 6.77e-982j | 
| 78.505590185397570156 + 2.5158246457636228844e-2890j | 1.96e-980, 1.96e-980j | 
| 36.656368879568478889 - 3.0946566745095601707e-2924j | 1.53e-986, 1.53e-986j | 
| 38.881990758924414497 - 2.0853403986523354604e-2924j | 5.66e-986, 5.66e-986j | 
| 1.329875220805904827 + 4.0092867049425598662e-2965j | 1.34e-1011, 1.34e-1011j | 
| 7.4438144265677691863 + 2.4180629289482330444e-2954j | 5.63e-1001, 5.63e-1001j | 
| 65.455556229862933801 + 2.989672328899435894e-2932j | 1.57e-981, 1.57e-981j | 
| 23.081209335231397595 - 3.0884716610493762523e-2979j | 4.26e-991, 4.26e-991j | 
| 89.325828454932880135 - 8.6231438217384645918e-2997j | 7.39e-980, 7.39e-980j | 
| 26.610990926308933848 - 2.2278855916921248611e-3055j | 1.1e-989, 1.1e-989j | 
| 4.5366202969211279833 - 9.3918060696519073741e-3125j | 2.03e-1004, 2.03e-1004j | 
| 160.49871125697155073 + 9.3072141752369592312e-3125j | 1.23e-980, 1.23e-980j | 
| 143.4755998316294189 + 2.3447745804450665125e-3211j | 6.42e-980, 6.42e-980j | 
| 34.504245278979219567 + 1.3929864067235154074e-3252j | 3.96e-987, 3.96e-987j | 
| 59.478204686324572949 - 9.8861390548001017949e-3245j | 2.9e-982, 2.9e-982j | 
| 3.3143637534223942773 - 1.0633411634351757987e-3293j | 1.18e-1006, 1.18e-1006j | 
| 148.95938557434070595 - 9.2617015982579960809e-3265j | 4.14e-980, 4.14e-980j | 
| 0.97142382401677750171 + 1.1165712089053366005e-3320j | 7.62e-1013, 7.62e-1013j | 
| 2.7421188284184857192 - 3.0711230354443723774e-3316j | 6.74e-1008, 6.74e-1008j | 
| 1.7457611011583465757 + 3.2630977485619413264e-3318j | 2.44e-1010, 2.44e-1010j | 
| 11.614029679500931795 - 4.3831448755021251543e-3305j | 1.78e-997, 1.78e-997j | 
| 2.2173950891439727362 + 8.5908136483386414492e-3317j | 4.05e-1009, 4.05e-1009j | 
| 51.15304916632669916 + 3.3184463857215045238e-3291j | 1.77e-983, 1.77e-983j | 
| 128.04598178636418521 + 1.486769306935856221e-3285j | 1.63e-979, 1.63e-979j | 
| 30.416432289173939072 + 1.6768202982029672426e-3303j | 2.31e-988, 2.31e-988j | 
| 9.3950709123011331292 - 6.4431711608850088585e-3314j | 3.41e-999, 3.41e-999j | 
| 0.3225476896193923118 + 1.4100813126459341919e-3331j | 1.01e-1015, 1.01e-1015j | 
| 32.424590414312812104 - 2.7776309532779248582e-3304j | 1.02e-987, 1.02e-987j | 
| 97.073776869958712812 - 8.2219473433699526034e-3293j | 1.31e-979, 1.31e-979j | 
| 0.016432293752883661604 + 9.3495323191112400165e-3339j | 1.62e-1020, 1.62e-1020j | 
| 71.792245849381341065 + 1.3559768326183563219e-3299j | 6.08e-981, 6.08e-981j | 
| 0.67274334323561993276 + 1.6001490348335405705e-3332j | 6.37e-1014, 6.37e-1014j | 
| 0.44443361249472746177 + 1.1456232685692319348e-3333j | 5.58e-1015, 5.58e-1015j | 
| 68.577953769674111425 + 1.014879748630873026e-3299j | 3.06e-981, 3.06e-981j | 
| 154.62984542902350779 + 3.3301525432750488426e-3297j | 2.28e-980, 2.28e-980j | 
| 0.085852661940910158446 - 4.0110514779264011341e-3342j | 1.03e-1018, 1.03e-1018j | 
| 21.417814568856120617 - 1.0160432418632879253e-3315j | 8.57e-992, 8.57e-992j | 
| 0.20421566345928508339 - 1.5446211293289694819e-3340j | 5.66e-1017, 5.66e-1017j | 
| 19.821183512055391098 + 3.5195479954417737583e-3316j | 1.52e-992, 1.52e-992j | 
| 208.57330773028802191 - 7.0191443753159494119e-3305j | 7.21e-984, 7.21e-984j | 
| 10.472066156998906767 + 5.9342649455903440184e-3322j | 2.6e-998, 2.6e-998j | 
| 24.812030402763301217 - 1.1107052308971797983e-3313j | 2.25e-990, 2.25e-990j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.1100139411525548234e-127 + 5.8786554105906454264e-2403j | 2.19e-130, 2.62e-871j | 
| 2.2103208665640017948e-110 - 2.3273956346108728334e-2394j | 1.88e-125, 2.24e-866j | 
| 2.4070482415236801844e-115 + 6.7915865023714692249e-2397j | 4.62e-127, 5.52e-868j | 
| 1.293801455876763967e-101 - 7.1100199899861652929e-2390j | 3.09e-123, 3.69e-864j | 
| 6.1556990635251216524e-94 - 6.1352739713899793507e-2386j | 3.64e-121, 4.36e-862j | 
| 4.7631047009072265247e-87 - 2.1262900604960898484e-2382j | 3.12e-119, 3.74e-860j | 
| 1.3680098141495801252e-40 - 4.3791401303571605794e-2358j | 5.12e-96, 6.12e-837j | 
| 1.1273816388029202949e-23 + 6.2570722412147497511e-2348j | 3.21e-78, 3.83e-819j | 
| 3.7713781391316568084e-135 - 5.4779939108552585117e-2407j | 7.46e-136, 8.92e-877j | 
| 9.8906672568928282314e-07 + 9.3236048939351973191e-2340j | 6.42e-36, 7.68e-777j | 
| 7.857963967978466992e-78 + 1.1999762500727607518e-2377j | 9.36e-117, 1.12e-857j | 
| 1.1313160635144770269e-47 - 6.9384534632581872485e-2362j | 1.47e-102, 1.76e-843j | 
| 2.8009523668124815574e-72 + 8.9444993312926034025e-2375j | 3.66e-115, 4.38e-856j | 
| 1.4637451475523713644e-53 + 5.2851452291126130629e-2365j | 9.71e-107, 1.16e-847j | 
| 3.350186300026117697e-06 - 2.0256140488888610056e-2339j | 1.82e-39, 2.18e-780j | 
| 7.6505126376396651369e-84 + 9.507197284733689183e-2381j | 4.42e-119, 5.28e-860j | 
| 7.2473041317012412486e-25 + 9.9553390839452616099e-2349j | 8.86e-85, 1.06e-825j | 
| 2.4039617234879068478e-37 - 2.6003580856587009967e-2356j | 8.64e-97, 1.03e-837j | 
| 4.9890076014016465383e-44 - 6.1557042577663073744e-2360j | 3.22e-101, 3.85e-842j | 
| 8.9534022613900003521e-81 - 3.6289023474004924926e-2379j | 1.78e-118, 2.13e-859j | 
| 0.00022299786463496213682 - 4.1432139808796017469e-2338j | 6.95e-35, 8.31e-776j | 
| 1.705453397244465937e-08 - 8.2102001917637272701e-2341j | 2.11e-56, 2.53e-797j | 
| 2.1302530699712241015e-21 + 3.6188283623811938613e-2347j | 6.6e-83, 7.9e-824j | 
| 8.1495580803354388174e-13 - 3.5958491285583120705e-2343j | 1.05e-69, 1.26e-810j | 
| 8.1292781357647521565e-33 + 8.7863860130722391724e-2354j | 1.14e-94, 1.36e-835j | 
| 7.9890988309610467197e-46 + 6.7214258267243416926e-2361j | 1.15e-102, 1.37e-843j | 
| 0.0011364851861778963194 - 1.8998165727671102548e-2337j | 1.62e-34, 1.94e-775j | 
| 0.012217890929273991858 - 1.0152146451660786819e-2336j | 1.42e-22, 1.7e-763j | 
| 7.0575015445277570798e-08 + 1.880611770846685779e-2340j | 5.3e-57, 6.33e-798j | 
| 1.5394239626926531601e-51 - 6.1720013646711104479e-2364j | 6.4e-107, 7.66e-848j | 
| 7.7936174716355470027e-106 + 4.9188670168910908808e-2392j | 9.16e-131, 1.1e-871j | 
| 5.2981812630863260651e-75 - 3.480069040213542708e-2376j | 1.15e-118, 1.38e-859j | 
| 1.1582011974541293542e-97 + 7.5299489302880916449e-2388j | 1.3e-127, 1.55e-868j | 
| 8.5300466826595544638e-58 + 3.1402805195524593037e-2367j | 1.18e-112, 1.41e-853j | 
| 2.9222139952629480807e-19 + 2.6063208526735637798e-2346j | 2.14e-87, 2.56e-828j | 
| 7.1955282604722014024e-121 - 1.0308820127585697596e-2399j | 5.04e-138, 6.03e-879j | 
| 3.0452309464863702815e-18 - 7.4935944463766613768e-2346j | 1.35e-86, 1.61e-827j | 
| 0.0021421824188542216538 + 3.9000526649434948873e-2337j | 4.71e-46, 5.63e-787j | 
| 0.0036235071669989663667 - 6.6970997198332149274e-2337j | 5.56e-44, 6.65e-785j | 
| 1.4101543748225880084e-49 + 6.7509125673261175234e-2363j | 1.08e-107, 1.29e-848j | 
| 2.595155173940107513e-20 - 9.326741873926194105e-2347j | 5.71e-89, 6.83e-830j | 
| 5.155061140386060919e-60 - 2.1623012775515111618e-2368j | 1.94e-114, 2.32e-855j | 
| 2.7316202249872280457e-07 - 4.2247588426555208056e-2340j | 1.22e-68, 1.46e-809j | 
| 8.5992728774270551373e-36 + 1.8774764633556336584e-2355j | 5.24e-102, 6.26e-843j | 
| 2.3199847599775240315e-27 + 1.5589323525656470715e-2350j | 1.03e-97, 1.23e-838j | 
| 2.7783035113936200048e-34 - 1.3055534964576489224e-2354j | 1.88e-101, 2.25e-842j | 
| 2.6334601749212692567e-16 - 6.2242384540750322489e-2345j | 5.29e-89, 6.33e-830j | 
| 2.9403467165105182905e-17 + 2.1665135421295399976e-2345j | 2.07e-89, 2.48e-830j | 
| 0.10248010405625054466 + 2.3119330049749079363e-2336j | 1.8e-41, 2.16e-782j | 
| 0.00052872475448697766131 + 8.8530169471676047894e-2338j | 9.39e-64, 1.12e-804j | 
| 1.1512324086611409899e-28 - 2.3792565002672993407e-2351j | 2.61e-99, 3.12e-840j | 
| 1.6056033237773134018e-10 + 6.013210337132718614e-2342j | 1.27e-83, 1.52e-824j | 
| 6.0523007343308457602e-39 + 3.4531574167994254392e-2357j | 6.24e-105, 7.46e-846j | 
| 5.0841971522963485105e-12 + 9.4072249383676855195e-2343j | 5.25e-86, 6.27e-827j | 
| 0.0065320720583203219352 + 8.9466245430797501075e-2337j | 4.37e-62, 5.23e-803j | 
| 1.1815222311639235462e-69 - 2.0557607679074136843e-2373j | 1.01e-122, 1.21e-863j | 
| 2.637852456208550873e-62 + 1.3731332712951669284e-2369j | 1.34e-119, 1.6e-860j | 
| 2.1900568277921651585e-15 + 1.7649033809271092944e-2344j | 5.9e-92, 7.06e-833j | 
| 4.2811532178270896221e-26 - 1.1014273533216623382e-2349j | 1.6e-99, 1.91e-840j | 
| 0.021547997316118657958 + 1.1217198893674019155e-2336j | 8.01e-68, 9.57e-809j | 
| 1.1324736562202735791e-64 - 8.0031126636749855021e-2371j | 3.94e-121, 4.71e-862j | 
| 0.12459548415720000139 - 3.0794405179356449393e-2336j | 2.93e-62, 3.5e-803j | 
| 0.035426382056566838543 - 1.2777098106033911149e-2336j | 1.41e-67, 1.69e-808j | 
| 0.077496923824739590131 - 1.833600917532080735e-2336j | 4.34e-65, 5.19e-806j | 
| 1.0612959054555443745e-05 + 4.344545133108917921e-2339j | 3.37e-81, 4.03e-822j | 
| 0.054312822352203414794 + 1.5066644612412561745e-2336j | 9.71e-67, 1.16e-807j | 
| 1.614129319306372962e-22 - 1.8028768793166917791e-2347j | 2.11e-97, 2.53e-838j | 
| 1.2049286030267751811e-55 - 4.2244509136428666631e-2366j | 3.68e-116, 4.4e-857j | 
| 1.2172414227796724978e-13 + 1.3442325100622276135e-2343j | 1.19e-92, 1.43e-833j | 
| 8.6801643286460904267e-05 + 1.9540869235957540394e-2338j | 3.33e-82, 3.99e-823j | 
| 0.066445918915047063139 + 9.0201901017047605265e-2336j | 3.48e-72, 4.17e-813j | 
| 1.6928048532292190834e-14 - 4.9191004510804363998e-2344j | 3.58e-93, 4.28e-834j | 
| 2.7667997134989410049e-42 + 5.3482478581358287632e-2359j | 5.12e-110, 6.12e-851j | 
| 0.041417767290146312934 - 3.6987286239576850832e-2337j | 7.07e-77, 8.46e-818j | 
| 2.159587017161599558e-31 - 5.7588579467834836178e-2353j | 5.61e-105, 6.71e-846j | 
| 0.13628135479596143455 + 4.5789515405293918344e-2336j | 1.75e-77, 2.09e-818j | 
| 0.11558298968287953055 - 8.2228653272048124884e-2336j | 3.29e-77, 3.93e-818j | 
| 5.2210301817195287677e-30 + 3.7085846576233508307e-2352j | 3.07e-104, 3.67e-845j | 
| 4.037432107241285333e-67 + 4.2581307683717712649e-2372j | 3.17e-124, 3.79e-865j | 
| 0.088167976613656490018 + 1.5770037684251976698e-2336j | 1.69e-81, 2.02e-822j | 
| 8.1381198903471655263e-10 - 1.4692817592652112469e-2341j | 2.05e-94, 2.46e-835j | 
| 0.10970687825416541146 - 4.8030996753809862872e-2336j | 1.01e-82, 1.21e-823j | 
| 3.8534996760745767548e-09 + 3.5109484908377354585e-2341j | 6.09e-94, 7.28e-835j | 
| 2.0862453960002627391e-90 + 3.9878723983495077191e-2384j | 5.17e-137, 6.18e-878j | 
| 3.1420795889056538725e-05 - 9.2334788745228359947e-2339j | 2.65e-91, 3.16e-832j | 
| 2.9577378399748266531e-11 - 2.4057373850366946661e-2342j | 1.98e-95, 2.37e-836j | 
All rules of Laguerre type can be downloaded here packed into a single file.