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) |
|---|---|
| 302.12677865630684246 + 1.1072759170356097234e-4715j | 3.37e-2005, 3.37e-2005j |
| 363.62827718459735645 + 9.766521275131933995e-4738j | 4.96e-2012, 4.96e-2012j |
| 252.51807948386823437 - 3.7824739362928839205e-4726j | 2.05e-2000, 2.05e-2000j |
| 328.11549050254348904 - 9.925164106582342607e-4748j | 5.46e-2008, 5.46e-2008j |
| 280.38355848823433593 + 2.9939142053533988727e-4814j | 5.54e-2003, 5.54e-2003j |
| 221.09624084760671012 - 1.2546823282094534595e-5000j | 6.15e-1998, 6.15e-1998j |
| 154.49922903131855978 - 4.0378368574530693204e-5204j | 1.84e-1994, 1.84e-1994j |
| 126.16432141454467877 + 1.0063497998539539831e-5331j | 4.61e-1994, 4.61e-1994j |
| 270.56913441382798003 + 2.7685087928190948055e-5397j | 4.43e-2002, 4.43e-2002j |
| 139.77029102411172524 + 3.5965848627313208635e-5436j | 3.74e-1994, 3.74e-1994j |
| 194.14897186395428828 - 2.5136789154864788836e-5470j | 3.6e-1996, 3.6e-1996j |
| 176.1442357768960099 + 6.7442334882249933833e-5499j | 2.96e-1995, 2.96e-1995j |
| 57.703570395320076065 + 3.6460622265451518421e-5517j | 1.14e-1998, 1.14e-1998j |
| 43.262096581985028052 - 7.259282310490484438e-5520j | 2.39e-2001, 2.39e-2001j |
| 11.792267185480297723 - 1.0560644125866863134e-5532j | 3.68e-2014, 3.68e-2014j |
| 77.826242642106320111 - 1.7188427788794624268e-5512j | 3.46e-1996, 3.46e-1996j |
| 290.85368468563897791 - 3.4476758171724973961e-5520j | 4.98e-2004, 4.98e-2004j |
| 19.234492591427308591 + 1.1444897235778373454e-5541j | 6.2e-2010, 6.2e-2010j |
| 213.99839810511696056 + 6.9165206520580166615e-5525j | 2.05e-1997, 2.05e-1997j |
| 17.856478610321942847 - 1.8109020683515304168e-5587j | 1e-2010, 1e-2010j |
| 26.654078678311104455 + 8.3891858283621413063e-5583j | 3.45e-2006, 3.45e-2006j |
| 7.3024885734924514256 - 2.117467840167260875e-5596j | 1.45e-2018, 1.45e-2018j |
| 33.173563991984753635 + 4.3288657479865277051e-5580j | 6.16e-2004, 6.16e-2004j |
| 35.034470410278992371 - 3.5139991540873107651e-5579j | 2.06e-2003, 2.06e-2003j |
| 236.14133433475354826 + 1.51381650347365216e-5569j | 4.6e-1999, 4.6e-1999j |
| 52.61210321977654059 + 4.3996349705250947115e-5602j | 1.64e-1999, 1.64e-1999j |
| 121.85814331234250759 - 2.4940503306516369366e-5642j | 4.32e-1994, 4.32e-1994j |
| 29.746583731239986393 - 1.0603988256648837244e-5710j | 5.64e-2005, 5.64e-2005j |
| 149.45657513026568867 - 6.1107612793528955534e-5698j | 2.53e-1994, 2.53e-1994j |
| 81.009691501476527703 + 2.6105982352893418472e-5723j | 6.69e-1996, 6.69e-1996j |
| 165.01296425541579312 - 4.5555948821254994227e-5742j | 8.76e-1995, 8.76e-1995j |
| 261.30632755917536341 + 4.7497969584946447757e-5758j | 3.39e-2001, 3.39e-2001j |
| 84.27478879750413451 + 7.9851151964909596922e-5759j | 1.2e-1995, 1.2e-1995j |
| 98.187935023828633002 - 2.9548722693105315225e-5792j | 9.28e-1995, 9.28e-1995j |
| 20.65903960745552121 - 3.0623914408550544292e-5872j | 4.09e-2009, 4.09e-2009j |
| 87.623263731718614707 - 1.2179182747950838208e-5856j | 2.39e-1995, 2.39e-1995j |
| 41.096915991782722819 - 1.6137730187637169808e-5898j | 7.2e-2002, 7.2e-2002j |
| 200.54217279094995305 - 1.1471148104771514075e-5933j | 1.38e-1996, 1.38e-1996j |
| 16.528323537914585191 + 1.8542830108743528409e-6001j | 1.74e-2011, 1.74e-2011j |
| 68.750009937128506624 + 4.2082628931386422462e-5983j | 3.77e-1997, 3.77e-1997j |
| 343.90572983617188436 - 1.0774735808351342378e-6005j | 9.62e-2010, 9.62e-2010j |
| 113.56755485780804405 - 4.3206940422151232236e-6040j | 3.22e-1994, 3.22e-1994j |
| 244.14528650416919506 - 4.8270007866883943204e-6100j | 1e-1999, 1e-1999j |
| 55.122641688107442586 - 1.0833616283494386459e-6148j | 4.35e-1999, 4.35e-1999j |
| 135.11637588230461359 - 7.1533901324304083159e-6219j | 4.25e-1994, 4.25e-1994j |
| 117.66032991390666398 + 1.4694376820080292323e-6283j | 3.72e-1994, 3.72e-1994j |
| 314.42488961621597528 + 3.3740286781402418446e-6318j | 1.69e-2006, 1.69e-2006j |
| 8.6673704701157300192 + 8.7558803659664243215e-6344j | 2.81e-2017, 2.81e-2017j |
| 3.369839231310923141 + 2.4167177239330634269e-6352j | 8.29e-2026, 8.29e-2026j |
| 36.979766892322019985 - 5.6186432267571331306e-6329j | 6.86e-2003, 6.86e-2003j |
| 228.46862026710933233 - 1.1346671577522579815e-6320j | 1.69e-1998, 1.69e-1998j |
| 130.58244477951763122 + 1.3625426688963467395e-6336j | 4.42e-1994, 4.42e-1994j |
| 105.68494328442366962 - 1.1705369348474887557e-6349j | 1.83e-1994, 1.83e-1994j |
| 6.0233813319042888239 - 1.0692511805565564582e-6387j | 7.43e-2021, 7.43e-2021j |
| 12.868954157125158004 + 1.9928697571281802238e-6379j | 1.09e-2013, 1.09e-2013j |
| 23.62206969383853842 + 4.109697461210165812e-6375j | 1.27e-2007, 1.27e-2007j |
| 1.6273160562631055531 + 6.9004610687023018179e-6396j | 4.19e-2030, 4.19e-2030j |
| 11.086627730360987524 + 2.2250774371745351054e-6380j | 1.76e-2014, 1.76e-2014j |
| 50.171225847238496431 + 1.1477502218838727502e-6366j | 6.02e-2000, 6.02e-2000j |
| 2.8415335237929770386 + 1.087026176704631384e-6392j | 5.93e-2027, 5.93e-2027j |
| 4.5960731380874116412 + 1.1286562730993279018e-6389j | 2.08e-2023, 2.08e-2023j |
| 109.57672180589304623 - 7.8886936304752442336e-6360j | 2.5e-1994, 2.5e-1994j |
| 207.15326746547466635 + 3.8626949381655543982e-6385j | 5.34e-1997, 5.34e-1997j |
| 170.49757828259529326 - 8.7356662824604849064e-6433j | 5.04e-1995, 5.04e-1995j |
| 2.3761940360495657355 + 2.314777154989060356e-6498j | 5.27e-2028, 5.27e-2028j |
| 1 - 2.4243572548303361173e-6503j | 1.36e-2032, 1.36e-2032j |
| 9.6001731912774379871 - 8.2377723889450124492e-6487j | 2.89e-2016, 2.89e-2016j |
| 25.136971326242655369 - 4.834825059187461508e-6477j | 7.2e-2007, 7.2e-2007j |
| 65.877851419704028784 + 3.8159607463716052695e-6464j | 1.72e-1997, 1.72e-1997j |
| 14.030908360665886239 - 9.9189963880618230663e-6515j | 5.68e-2013, 5.68e-2013j |
| 0.36520802742274693054 - 2.9937377483554657042e-6537j | 6.96e-2036, 6.96e-2036j |
| 39.002024456038281733 - 1.6244292644730010989e-6495j | 2.16e-2002, 2.16e-2002j |
| 181.96165878894509803 - 3.1778631127020131059e-6495j | 1.6e-1995, 1.6e-1995j |
| 144.54871723123663095 + 2.6271121033007202949e-6531j | 3.13e-1994, 3.13e-1994j |
| 15.25234458265639763 + 1.6280812626654735287e-6564j | 2.97e-2012, 2.97e-2012j |
| 0.51641240750494042107 - 3.511853763247121087e-6585j | 5.59e-2035, 5.59e-2035j |
| 63.08015311277296993 - 1.1952388814390695806e-6547j | 7.48e-1998, 7.48e-1998j |
| 91.056954997721800873 - 2.1646623611540465899e-6543j | 3.74e-1995, 3.74e-1995j |
| 0.73362875596754197311 + 5.2370900682820060008e-6591j | 9.07e-2034, 9.07e-2034j |
| 71.697883455180436885 - 7.6013563829410842113e-6553j | 8.23e-1997, 8.23e-1997j |
| 6.7727044467065541659 - 1.4355763541787910044e-6576j | 1.81e-2019, 1.81e-2019j |
| 1.3022822085676746816 - 1.3579086557779404646e-6588j | 2.84e-2031, 2.84e-2031j |
| 31.407966999501196855 + 4.7648771347122102343e-6561j | 1.97e-2004, 1.97e-2004j |
| 94.577818301483523484 + 5.7732042856460493908e-6550j | 6.35e-1995, 6.35e-1995j |
| 28.177061568788461114 - 1.1106688853629580647e-6573j | 1.47e-2005, 1.47e-2005j |
| 60.35575009294882987 + 1.4484314150348290455e-6566j | 2.97e-1998, 2.97e-1998j |
| 22.124645084107744365 + 8.5812577917069875135e-6577j | 2.17e-2008, 2.17e-2008j |
| 5.2872917419247392191 - 2.6130417727604110293e-6590j | 3.92e-2022, 3.92e-2022j |
| 74.72281608808286491 + 3.9105954261064104738e-6562j | 1.8e-1996, 1.8e-1996j |
| 101.88952210713428952 - 4.8145096090485329415e-6586j | 1.3e-1994, 1.3e-1994j |
| 45.496414325543411724 - 1.1696841782495747804e-6621j | 7.36e-2001, 7.36e-2001j |
| 3.9558792620965539775 - 7.0360111624983014736e-6674j | 1.19e-2024, 1.19e-2024j |
| 10.539197882262810625 - 2.9638235408620947964e-6664j | 4.29e-2015, 4.29e-2015j |
| 0.056897625001077184683 - 1.0107903444739432353e-6688j | 4.94e-2040, 4.94e-2040j |
| 159.68254576776921417 + 1.165197581702992525e-6642j | 1.31e-1994, 1.31e-1994j |
| 0.14119791093340134323 + 7.0957045120451399056e-6726j | 2e-2038, 2e-2038j |
| 47.799444918444747621 + 4.0331654807838455546e-6681j | 2.04e-2000, 2.04e-2000j |
| 0.25299585913703906272 + 4.2325309833504894828e-6734j | 6.08e-2037, 6.08e-2037j |
| 7.8232631436879996743 - 2.2460516720541553969e-6714j | 5.49e-2018, 5.49e-2018j |
| 0.010604159569950359148 + 1.0396852804599891099e-6737j | 8.12e-2042, 8.12e-2042j |
| 187.95958979998848329 + 6.2697583962066613355e-6690j | 7.7e-1996, 7.7e-1996j |
| 1.9765980353418921601 - 1.6564094626608379034e-6750j | 4.71e-2029, 4.71e-2029j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 7.2056144849184707027e-131 - 3.9798833194830024892e-4846j | 1e-361, 3.79e-1863j |
| 2.7785559320025179456e-157 + 5.4488618841314424805e-4861j | 2.79e-370, 1.06e-1871j |
| 1.8444469249768505791e-109 + 3.7996671811301205847e-4835j | 7.48e-355, 2.83e-1856j |
| 4.6224461730809262366e-142 + 6.9428512242966517258e-4853j | 7.35e-366, 2.79e-1867j |
| 1.7228032375034608158e-121 - 9.964746108506947663e-4843j | 3.48e-359, 1.32e-1860j |
| 6.891780874113222824e-96 + 3.8319136519770993835e-4829j | 1.22e-350, 4.61e-1852j |
| 4.0777915413755772359e-67 - 2.2039459949497239006e-4814j | 1.8e-337, 6.82e-1839j |
| 7.0334824307625000384e-55 - 6.6834929222496077961e-4808j | 4.63e-330, 1.76e-1831j |
| 2.9657397521499305916e-117 - 9.1589226932193630758e-4841j | 2.21e-358, 8.36e-1860j |
| 9.3767216381011052414e-61 + 4.9767550199399965756e-4811j | 4.69e-334, 1.78e-1835j |
| 3.0252498471902919218e-84 + 2.9173697976273902419e-4823j | 5.24e-347, 1.98e-1848j |
| 1.8185423714547064874e-76 - 2.9477747779800319995e-4819j | 2.37e-343, 8.98e-1845j |
| 2.2769950543983340861e-25 - 2.2082094291542735766e-4791j | 1.5e-304, 5.69e-1806j |
| 3.5801978032008059816e-19 - 1.7678984717150133882e-4787j | 3.52e-294, 1.33e-1795j |
| 7.5404601375705700152e-06 - 3.2025185522708115352e-4777j | 1.11e-246, 4.2e-1748j |
| 4.9872464898265613341e-34 + 1.9047977649773809893e-4796j | 1.03e-315, 3.9e-1817j |
| 5.2356451492948706257e-126 + 1.7431522134866651587e-4844j | 5.52e-363, 2.09e-1864j |
| 6.2130435806476336204e-09 - 2.1328594677759333245e-4780j | 1.62e-266, 6.15e-1768j |
| 8.0314346129504322572e-93 - 1.3025769687600133309e-4827j | 5.78e-351, 2.19e-1852j |
| 2.3795532335570630433e-08 + 5.8358869938739422273e-4780j | 5.07e-264, 1.92e-1765j |
| 4.0279047669205387651e-12 + 2.0308120220487882398e-4782j | 5.54e-279, 2.1e-1780j |
| 0.00024237730293959146846 - 1.3183184808708466568e-4775j | 1.31e-235, 4.97e-1737j |
| 7.1096311494534004988e-15 + 1.9570453920265654028e-4784j | 4.89e-287, 1.85e-1788j |
| 1.1602168652669001273e-15 - 4.9940546758869124239e-4785j | 5.1e-289, 1.93e-1790j |
| 2.1828923756493231039e-102 + 2.6563131454763308544e-4832j | 1.74e-356, 6.58e-1858j |
| 3.5037583184461448955e-23 - 4.8176145549675117002e-4790j | 1.22e-304, 4.62e-1806j |
| 5.0841095668986952362e-53 + 6.6336921763956021466e-4807j | 7.43e-334, 2.81e-1835j |
| 1.9415078177715280986e-13 + 2.5147705466091064328e-4783j | 1.3e-285, 4.91e-1787j |
| 6.145653066783575786e-65 + 3.0750693519256870184e-4813j | 2.61e-340, 9.88e-1842j |
| 2.1199820300334117216e-35 - 3.1733315128226123064e-4797j | 2.88e-321, 1.09e-1822j |
| 1.1713273746002138689e-71 - 9.2886908481732031674e-4817j | 2.51e-344, 9.52e-1846j |
| 2.9582919140571342033e-113 + 6.1802311507965578294e-4838j | 1.77e-361, 6.71e-1863j |
| 8.3040766053535071781e-37 + 5.1049855452825079712e-4798j | 2.7e-323, 1.02e-1824j |
| 8.3265467042588862506e-43 + 2.355022037871070824e-4801j | 1.43e-329, 5.41e-1831j |
| 1.5421745018397741723e-09 + 8.0539423794436616817e-4781j | 1e-282, 3.8e-1784j |
| 2.992251163183265036e-38 - 7.921217971385245551e-4799j | 3.97e-325, 1.5e-1826j |
| 3.0218886716635243821e-18 + 7.4031842130782423652e-4787j | 7.39e-303, 2.8e-1804j |
| 5.2303468235976885491e-87 - 1.1356820098193175107e-4824j | 3.83e-353, 1.45e-1854j |
| 8.6415212886108039597e-08 - 1.661662488857602163e-4779j | 1.2e-279, 4.56e-1781j |
| 4.0375053647855355602e-30 - 3.3774762950804537499e-4794j | 2.73e-319, 1.04e-1820j |
| 7.5983715583197525717e-149 - 1.55098290800494412e-4856j | 1.38e-379, 5.24e-1881j |
| 1.926457109531436706e-49 + 5.6371954542022541166e-4805j | 5.72e-335, 2.17e-1836j |
| 7.6186742150097916068e-106 - 7.4470956524525179306e-4834j | 6.2e-361, 2.35e-1862j |
| 2.9263825151290465784e-24 + 1.04401001857737147e-4790j | 1.35e-314, 5.11e-1816j |
| 9.5900046315711157627e-59 - 5.8002184652600404686e-4810j | 3.78e-340, 1.43e-1841j |
| 3.2981267486459198847e-51 - 6.2642043697207570952e-4806j | 4.39e-336, 1.66e-1837j |
| 3.6149166997823299334e-136 - 1.4123366771933306241e-4849j | 2.98e-375, 1.13e-1876j |
| 0.00015538972766874841411 - 2.6284536550549082966e-4776j | 1.53e-278, 5.78e-1780j |
| 0.019188915568018283067 - 2.603105349833756058e-4775j | 1.04e-259, 3.94e-1761j |
| 1.7281830386932997098e-16 + 1.2448952811965422808e-4785j | 1.39e-307, 5.25e-1809j |
| 4.5022902772892529729e-99 - 1.035403119455579852e-4830j | 4.47e-359, 1.69e-1860j |
| 8.7014699931226840218e-57 + 6.3949840427678957936e-4809j | 2.25e-339, 8.51e-1841j |
| 4.856253828331686658e-46 + 3.975923231558966021e-4803j | 5.45e-335, 2.07e-1836j |
| 0.001824615047138295866 - 9.1653618951367609928e-4776j | 2.97e-277, 1.13e-1778j |
| 2.9071843604475774664e-06 + 6.2000952478343214049e-4778j | 1.01e-290, 3.81e-1792j |
| 8.3127294605090542629e-11 + 1.2503709562885517284e-4781j | 4.85e-302, 1.84e-1803j |
| 0.065670359730527528508 - 1.4399762251590840269e-4774j | 5.06e-257, 1.92e-1758j |
| 5.7162038674504108674e-06 + 9.8038296870160737235e-4777j | 3.1e-288, 1.18e-1789j |
| 3.9106989944466423374e-22 + 2.172995604871195139e-4789j | 6.1e-318, 2.31e-1819j |
| 0.029040473920322378348 + 4.2178216881485969774e-4775j | 7.54e-268, 2.85e-1769j |
| 0.0067238500674185688699 - 1.2163728146325521504e-4775j | 8.07e-276, 3.06e-1777j |
| 1.0163031814731082788e-47 - 4.8421224208982576707e-4804j | 7.93e-336, 3e-1837j |
| 7.2809172462546245142e-90 + 4.0319935390118189022e-4826j | 2.02e-357, 7.64e-1859j |
| 5.0032238716222479739e-74 + 5.4302401746240070676e-4818j | 5.91e-351, 2.24e-1852j |
| 0.040140382986660556431 - 6.9885906802384063592e-4775j | 4.91e-272, 1.86e-1773j |
| 0.10541361992040019985 - 1.9754326270369108397e-4774j | 1.03e-267, 3.89e-1769j |
| 6.4658664623970712705e-05 + 1.3878693773160128963e-4776j | 2.35e-291, 8.9e-1793j |
| 1.8382783532272850138e-11 - 5.0731529663949218934e-4782j | 1.1e-306, 4.18e-1808j |
| 6.9522254200660772618e-29 + 1.7825599940608330281e-4793j | 4.23e-327, 1.6e-1828j |
| 9.6183184085757298086e-07 - 1.6333961009960742616e-4778j | 2.15e-298, 8.14e-1800j |
| 0.082550333330764061021 + 4.6628894791969728083e-4774j | 1.04e-271, 3.94e-1773j |
| 2.3730830298584505271e-17 - 3.0563266143859365758e-4786j | 4.32e-315, 1.64e-1816j |
| 5.576300403071421884e-79 + 1.4807413968656832764e-4820j | 6.59e-354, 2.5e-1855j |
| 8.0973003122330732564e-63 - 4.03101825305646191e-4812j | 2.56e-345, 9.71e-1847j |
| 2.96903078509496555e-07 + 4.9958278027718982158e-4779j | 2.84e-302, 1.07e-1803j |
| 0.11156423550149232298 - 3.6742631488835028712e-4774j | 8.04e-279, 3.05e-1780j |
| 1.1109195651046972707e-27 - 9.1360187019386344131e-4793j | 5.42e-327, 2.05e-1828j |
| 9.900662310936184845e-40 + 1.1841434260459212613e-4799j | 6.2e-335, 2.35e-1836j |
| 0.11724162727054100256 + 2.5285035850273652833e-4774j | 4.74e-284, 1.79e-1785j |
| 2.1732996394792531824e-31 + 6.2072887774429004026e-4795j | 3.43e-330, 1.3e-1831j |
| 0.00081633206519691962342 + 1.2080238698358052906e-4775j | 1.48e-299, 5.6e-1801j |
| 0.085807719012643161515 + 1.6933547842167317279e-4774j | 2.38e-288, 9.01e-1790j |
| 3.923974072173263395e-14 - 7.3278377974263216279e-4784j | 5.48e-316, 2.07e-1817j |
| 3.0022789158346250471e-41 - 1.703396314530094992e-4800j | 3.6e-336, 1.36e-1837j |
| 8.9034947432778203287e-13 - 7.5940785023237216743e-4783j | 5.22e-315, 1.98e-1816j |
| 1.6492236331853369115e-26 + 4.5524424066206586914e-4792j | 2.53e-327, 9.58e-1829j |
| 3.6531321220201079797e-10 - 3.1319665375381178056e-4781j | 3.9e-313, 1.48e-1814j |
| 0.0036161274648163406529 + 9.6665999491924573059e-4776j | 3.46e-304, 1.31e-1805j |
| 1.0828605539047134634e-32 - 1.1053064543470048937e-4795j | 2.42e-331, 9.18e-1833j |
| 2.1074323649880730726e-44 - 3.1253068323412827219e-4802j | 1.96e-338, 7.43e-1840j |
| 3.9530777881505695612e-20 + 4.1553555040784472577e-4788j | 2.93e-324, 1.11e-1825j |
| 0.011745666844916140616 + 1.7085138872951438468e-4775j | 1.96e-307, 7.42e-1809j |
| 2.2794971696153775353e-05 - 1.2723292459309533236e-4776j | 1.67e-310, 6.32e-1812j |
| 0.061921170352114770637 - 8.7867900640090172836e-4775j | 1.73e-307, 6.54e-1809j |
| 2.351720086891886447e-69 + 1.4801637302781497246e-4815j | 4.47e-353, 1.69e-1854j |
| 0.088352949003730619264 + 1.9555787705045610602e-4774j | 4.17e-308, 1.58e-1809j |
| 4.0709174723524205326e-21 - 9.5955753657683791397e-4789j | 2.14e-325, 8.1e-1827j |
| 0.08928831008196457177 - 3.7620697160804430917e-4774j | 1.98e-308, 7.49e-1810j |
| 0.00029904321966149559491 + 7.6204723549833536293e-4776j | 1.1e-311, 4.18e-1813j |
| 0.027078183008761206933 + 2.4372537534923546476e-4775j | 9.34e-310, 3.54e-1811j |
| 1.4286551974779597598e-81 - 6.8578917567151408885e-4822j | 1.28e-359, 4.85e-1861j |
| 0.051213323914751566809 + 1.0823879415568588613e-4774j | 4.36e-310, 1.65e-1811j |
All rules of Laguerre type can be downloaded here packed into a single file.