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) | 
|---|---|
| 289.19049393639583576 + 1.2506373391225384929e-6026j | 6.17e-2011, 6.17e-2011j | 
| 304.17996230317563835 - 6.8190943931974400287e-6032j | 1.37e-2012, 1.37e-2012j | 
| 264.5366774100756589 - 1.5279359683153608234e-6020j | 2.66e-2008, 2.66e-2008j | 
| 322.90133498956058241 + 1.600594012742663672e-6034j | 9.81e-2015, 9.81e-2015j | 
| 25.439156011028403295 - 3.1176984716228904348e-6029j | 4.66e-2010, 4.66e-2010j | 
| 68.376935999848939906 - 9.3213894176433703985e-6020j | 4.47e-2001, 4.47e-2001j | 
| 104.03930016270420481 + 8.4329260868470217337e-6017j | 4.11e-1999, 4.11e-1999j | 
| 140.79701899559464809 + 2.0167323670701767305e-6032j | 2.23e-1999, 2.23e-1999j | 
| 116.83443676392430816 + 2.7725565986464419212e-6056j | 5.18e-1999, 5.18e-1999j | 
| 121.3491064217406619 + 3.826269259408110853e-6081j | 5.18e-1999, 5.18e-1999j | 
| 39.30108288777206945 - 2.252809491070877305e-6102j | 8.05e-2006, 8.05e-2006j | 
| 53.978070607678433974 + 4.1140921131607213541e-6099j | 6.51e-2003, 6.51e-2003j | 
| 30.968976819329228182 - 2.9973808318172049197e-6105j | 3.89e-2008, 3.89e-2008j | 
| 48.783308020677408191 + 1.1848864074782691097e-6100j | 7.96e-2004, 7.96e-2004j | 
| 46.301185348644638567 + 1.7269691482452218884e-6102j | 2.69e-2004, 2.69e-2004j | 
| 34.995242264452618095 + 3.5548610675583965034e-6104j | 5.96e-2007, 5.96e-2007j | 
| 32.947609241976510084 + 3.418191397977247662e-6104j | 1.52e-2007, 1.52e-2007j | 
| 78.052337111225419016 + 4.3343124581787141929e-6096j | 3.07e-2000, 3.07e-2000j | 
| 174.96499664687624522 - 8.4677059957166269636e-6103j | 7.08e-2001, 7.08e-2001j | 
| 276.19928494906940436 + 3.9643560759688571094e-6121j | 1.49e-2009, 1.49e-2009j | 
| 27.215482552763024991 + 2.588830900198882331e-6128j | 2.11e-2009, 2.11e-2009j | 
| 14.839923070173705216 + 7.2725227065524449342e-6135j | 5.11e-2015, 5.11e-2015j | 
| 22.084217201371534051 + 2.7333227811297151547e-6130j | 1.99e-2011, 1.99e-2011j | 
| 43.894215147208949986 - 6.7383011898971653456e-6124j | 8.99e-2005, 8.99e-2005j | 
| 217.61048206839923785 - 1.8639354150283012103e-6118j | 6.51e-2004, 6.51e-2004j | 
| 253.85430732025111178 - 1.6917233813336159675e-6125j | 3.03e-2007, 3.03e-2007j | 
| 51.34183000498989704 - 9.8769862882296316464e-6132j | 2.48e-2003, 2.48e-2003j | 
| 37.112754972729211124 - 8.0486804676627180677e-6135j | 2.16e-2006, 2.16e-2006j | 
| 74.736339300041328457 + 1.9729779956266835529e-6128j | 1.76e-2000, 1.76e-2000j | 
| 243.94145541501822262 + 6.5383333531349547139e-6129j | 2.61e-2006, 2.61e-2006j | 
| 92.279615280731852716 + 1.0682627681015006134e-6132j | 1.85e-1999, 1.85e-1999j | 
| 202.17883952832510502 + 8.8641691813463737776e-6146j | 1.09e-2002, 1.09e-2002j | 
| 4.1255737078328258248 + 3.4431586144165348446e-6184j | 1.49e-2025, 1.49e-2025j | 
| 100.00939400889422824 - 5.7298983892138001999e-6158j | 3.3e-1999, 3.3e-1999j | 
| 96.090640929528748471 + 1.8255918561123175731e-6160j | 2.59e-1999, 2.59e-1999j | 
| 209.71634091587214234 + 1.2760139321183428276e-6176j | 2.66e-2003, 2.66e-2003j | 
| 135.71427942835421733 + 6.7796107020273467644e-6221j | 3.14e-1999, 3.14e-1999j | 
| 5.4947133610925559328 + 8.2491007021144986748e-6279j | 1.71e-2023, 1.71e-2023j | 
| 59.489375697691010205 - 4.6712327686908073209e-6254j | 4.32e-2002, 4.32e-2002j | 
| 108.18405537301519236 - 6.1160746625507020914e-6302j | 4.92e-1999, 4.92e-1999j | 
| 188.03669515722357016 - 8.2536116062631268682e-6404j | 1.05e-2001, 1.05e-2001j | 
| 29.058522554864324548 - 1.0295517879245110383e-6462j | 9.64e-2009, 9.64e-2009j | 
| 18.989963815544515587 + 2.528060410187742353e-6467j | 7.66e-2013, 7.66e-2013j | 
| 2.0553530865700266966 + 4.8225863246007280196e-6484j | 8.12e-2030, 8.12e-2030j | 
| 168.78003057494754439 + 6.0561831116723913884e-6493j | 1.62e-2000, 1.62e-2000j | 
| 81.462166200373978992 - 5.8063285968850032946e-6608j | 5.36e-2000, 5.36e-2000j | 
| 125.99680096180690613 - 2.8803874039183480755e-6745j | 4.66e-1999, 4.66e-1999j | 
| 4.779596384709730006 + 2.7009216166688702824e-6817j | 1.6e-2024, 1.6e-2024j | 
| 23.728914184710785251 + 2.8291118385022483726e-6817j | 9.84e-2011, 9.84e-2011j | 
| 11.462174701793397198 - 1.1167282636820941501e-6904j | 7.06e-2017, 7.06e-2017j | 
| 162.80760662600014315 - 4.756802213801605746e-7123j | 3.16e-2000, 3.16e-2000j | 
| 181.37793600888396084 - 8.4325749755101821195e-7381j | 3.04e-2001, 3.04e-2001j | 
| 146.03886840462964128 + 8.1195295275365590346e-7577j | 1.56e-1999, 1.56e-1999j | 
| 1.2984652556392049787 + 8.5414942408367921018e-7677j | 5.31e-2032, 5.31e-2032j | 
| 1 - 5.4737938220537423334e-7688j | 3.78e-2033, 3.78e-2033j | 
| 84.968239215124654138 + 1.3450719187955263821e-7716j | 8.72e-2000, 8.72e-2000j | 
| 157.03426528920891389 + 1.3099827553390437156e-7804j | 6.02e-2000, 6.02e-2000j | 
| 41.561218914907710469 + 9.5772528478323513666e-7853j | 2.77e-2005, 2.77e-2005j | 
| 10.689914555498916084 - 8.2269797930641223625e-7874j | 1.83e-2017, 1.83e-2017j | 
| 0.75158027382259465139 + 5.2660252796344925296e-7894j | 3e-2034, 3e-2034j | 
| 20.504645815214217417 - 6.299274488668010931e-7868j | 4.2e-2012, 4.2e-2012j | 
| 234.65823454194577303 + 7.5651266543658355781e-7859j | 1.98e-2005, 1.98e-2005j | 
| 9.8540629325913928592 - 2.6913309124410123595e-7908j | 2.54e-2018, 2.54e-2018j | 
| 151.44817599104727427 - 2.3976009510788765216e-7889j | 1.01e-1999, 1.01e-1999j | 
| 1.6521477347534537018 - 3.4095384663664345522e-7945j | 6.71e-2031, 6.71e-2031j | 
| 3.5315993434818369512 - 6.1595834817117871426e-7941j | 1.51e-2026, 1.51e-2026j | 
| 7.9886543552868417152 + 3.8143563760457264263e-7935j | 2.18e-2020, 2.18e-2020j | 
| 2.5026000900489822054 - 1.7461737826846530586e-7943j | 1.06e-2028, 1.06e-2028j | 
| 16.156197801581421405 + 1.8763282325834310946e-7928j | 2.61e-2014, 2.61e-2014j | 
| 12.448513062956781353 + 7.062364325074709369e-7931j | 2.47e-2016, 2.47e-2016j | 
| 0.18796958875044643007 + 1.1926997888580738195e-7952j | 2.04e-2038, 2.04e-2038j | 
| 6.2698204979282741778 - 5.6703242304340905444e-7937j | 1.7e-2022, 1.7e-2022j | 
| 130.78313714189243897 - 7.6696387591028734959e-7913j | 3.88e-1999, 3.88e-1999j | 
| 65.329418169018115054 + 6.5675779238917173402e-7942j | 2.12e-2001, 2.12e-2001j | 
| 56.693426253601114386 + 1.5704233993739792451e-7948j | 1.65e-2002, 1.65e-2002j | 
| 8.917546464244472628 + 3.4326463794645702323e-7966j | 2.28e-2019, 2.28e-2019j | 
| 2.9930244565179612097 - 8.2393197044348266345e-7974j | 1.32e-2027, 1.32e-2027j | 
| 112.44765653284171492 + 5.7071709546004813502e-7944j | 5.19e-1999, 5.19e-1999j | 
| 225.90568523554301155 - 7.9720139567425320737e-7980j | 1.23e-2004, 1.23e-2004j | 
| 88.573135167151365979 + 4.9230613469970442932e-8001j | 1.31e-1999, 1.31e-1999j | 
| 0.014722459150218159272 - 9.1370159495538161585e-8054j | 1.07e-2041, 1.07e-2041j | 
| 0.53425789503343320795 - 2.4429565893030531626e-8048j | 1.45e-2035, 1.45e-2035j | 
| 62.367485835437829229 + 6.0383122528133134695e-8013j | 1.01e-2001, 1.01e-2001j | 
| 17.540249222273191655 - 1.4683341256544281767e-8027j | 1.54e-2013, 1.54e-2013j | 
| 71.511912433534638795 - 8.0952969756211760604e-8012j | 9.11e-2001, 9.11e-2001j | 
| 7.1025714439648333072 - 3.3399345287029814364e-8036j | 1.9e-2021, 1.9e-2021j | 
| 0.34304454724839459728 - 1.2350533788022382895e-8051j | 6.59e-2037, 6.59e-2037j | 
| 0.077216621383675708762 + 5.0038560804566514678e-8054j | 6.46e-2040, 6.46e-2040j | 
| 194.96211998902293253 + 1.5699752417346337227e-8013j | 3.74e-2002, 3.74e-2002j | 
| 13.597467367011005537 + 2.7804599578927405134e-8037j | 1.1e-2015, 1.1e-2015j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.5246377709772054412e-125 + 7.667015383053543776e-6101j | 3.28e-373, 3.67e-1877j | 
| 1.2907265238992106973e-131 - 3.7298935241746762044e-6104j | 2.45e-375, 2.75e-1879j | 
| 1.444247604881773289e-114 + 2.2867215905858025386e-6095j | 9.61e-371, 1.08e-1874j | 
| 1.2839801249817851875e-139 + 2.8779732671491203735e-6108j | 3.98e-378, 4.47e-1882j | 
| 1.5604816435625055601e-11 + 8.8947409068618917549e-6040j | 1.21e-286, 1.35e-1790j | 
| 6.2281996349778796041e-30 + 3.1667856254740882659e-6049j | 4.24e-323, 4.75e-1827j | 
| 2.677181454664100488e-45 - 9.252753456772049793e-6059j | 1.28e-338, 1.43e-1842j | 
| 3.6758984052332317352e-61 - 2.115317277875355879e-6067j | 4.14e-350, 4.63e-1854j | 
| 8.0872277179342238261e-51 + 8.2847117025784601218e-6062j | 2.44e-343, 2.73e-1847j | 
| 9.1126668677944122623e-53 - 7.1649434979059174125e-6063j | 9.72e-345, 1.09e-1848j | 
| 1.9006554095230055374e-17 - 1.9856837210568013879e-6043j | 4.68e-308, 5.24e-1812j | 
| 9.6613157603032125888e-24 - 1.0514433401699253544e-6046j | 6.94e-319, 7.78e-1823j | 
| 6.9045016493404042866e-14 - 1.8876634287679720524e-6041j | 5.58e-301, 6.25e-1805j | 
| 1.6409591844251782157e-21 - 1.3846408458011183849e-6045j | 8.43e-316, 9.44e-1820j | 
| 1.9046408889586012621e-20 + 4.9368000277682578906e-6045j | 3.5e-314, 3.92e-1818j | 
| 1.3192529219047718857e-15 - 2.0653756174617526308e-6042j | 7.81e-306, 8.75e-1810j | 
| 9.8827298888025540031e-15 + 6.37174537350941968e-6042j | 5.96e-304, 6.68e-1808j | 
| 4.2556523947917604332e-34 + 3.2902065263915469483e-6052j | 2.41e-334, 2.7e-1838j | 
| 6.4974911201266731336e-76 - 3.1212990039272647526e-6075j | 1.04e-364, 1.17e-1868j | 
| 1.3688939963215635466e-119 - 5.8328547928701743119e-6098j | 2.05e-380, 2.29e-1884j | 
| 2.7418392668564754228e-12 - 1.0712866331387020801e-6040j | 1.99e-301, 2.22e-1805j | 
| 4.5987194586994730915e-07 - 9.0088268879830811293e-6037j | 1.24e-287, 1.39e-1791j | 
| 4.1336342102579827038e-10 + 5.9711746895636267597e-6039j | 3.37e-297, 3.78e-1801j | 
| 2.0497215126426156472e-19 - 1.7284330343640379569e-6044j | 3.07e-315, 3.44e-1819j | 
| 2.5160797365596082415e-94 - 7.1616380277844150186e-6085j | 8.42e-374, 9.44e-1878j | 
| 5.8081174215994189714e-110 - 5.4933569884842013742e-6093j | 1.39e-378, 1.56e-1882j | 
| 1.3092555752730916706e-22 + 3.8294601171201440575e-6046j | 3.93e-322, 4.41e-1826j | 
| 1.6410841584116282852e-16 + 6.4909737148303833096e-6043j | 3.13e-312, 3.51e-1816j | 
| 1.1401126493346744552e-32 - 2.9637282402426258661e-6051j | 3.42e-336, 3.83e-1840j | 
| 1.0936623141780508748e-105 + 8.9830137435536845481e-6091j | 7.67e-378, 8.6e-1882j | 
| 3.1510623340682802449e-40 + 6.8376786390079249361e-6056j | 1.44e-344, 1.61e-1848j | 
| 1.1545552965162733368e-87 - 2.1380252073140208131e-6081j | 1.32e-372, 1.48e-1876j | 
| 0.010073134018930422261 - 8.7986872794568740797e-6034j | 1.06e-271, 1.18e-1775j | 
| 1.4644386217283842667e-43 + 8.7026126408799683962e-6058j | 2.29e-347, 2.57e-1851j | 
| 7.1686959851371303088e-42 - 7.8551904315731032554e-6057j | 3.8e-346, 4.26e-1850j | 
| 6.4322179410178461543e-91 + 4.2759067307891584984e-6083j | 3.71e-374, 4.16e-1878j | 
| 5.7478667705694192911e-59 + 3.1819939645964712079e-6066j | 1.42e-359, 1.59e-1863j | 
| 0.003062454437178803216 - 3.4611743568500782483e-6034j | 7.89e-287, 8.84e-1791j | 
| 4.1391879579593865672e-26 - 8.2209595448701002443e-6048j | 2.18e-334, 2.44e-1838j | 
| 4.363864455805828247e-47 + 9.3707848532991333559e-6060j | 5.71e-351, 6.4e-1855j | 
| 1.4738863946400940745e-81 - 3.3652411473296911534e-6078j | 1.1e-371, 1.23e-1875j | 
| 4.5021656373052847348e-13 + 5.1992303068670567807e-6041j | 2.37e-319, 2.66e-1823j | 
| 8.3885016834850975843e-09 + 4.2205731628289401881e-6038j | 1.11e-314, 1.25e-1818j | 
| 0.054529678914638171812 - 3.3678245109588419486e-6033j | 6.53e-276, 7.32e-1780j | 
| 3.0437101835380601272e-73 + 7.9998532829707865808e-6074j | 2.46e-368, 2.76e-1872j | 
| 1.4460968923614277839e-35 - 3.9293944104267227738e-6053j | 4.5e-345, 5.04e-1849j | 
| 8.992112176037925041e-55 + 5.8339692501741277925e-6064j | 6.64e-358, 7.45e-1862j | 
| 0.0057504470018823600566 + 5.5534289055853020922e-6034j | 1.76e-296, 1.97e-1800j | 
| 8.3041857956189098087e-11 - 2.5068404753872708062e-6039j | 3.73e-320, 4.18e-1824j | 
| 9.0843860112448394821e-06 + 2.4209929265327763479e-6035j | 1.96e-312, 2.2e-1816j | 
| 1.154120137485518021e-70 - 1.847863782451221755e-6072j | 1.01e-367, 1.13e-1871j | 
| 1.1057385603057074268e-78 + 1.0888604894295987635e-6076j | 2.24e-371, 2.51e-1875j | 
| 2.0061915972641664849e-63 + 1.303753779426948255e-6068j | 1.52e-364, 1.7e-1868j | 
| 0.08915918415259595787 - 5.1386494740338178196e-6033j | 3.45e-289, 3.87e-1793j | 
| 0.099659528531332509364 + 5.8214851868836407336e-6033j | 3.45e-289, 3.87e-1793j | 
| 4.4627963216582952202e-37 + 4.7802351041849790367e-6054j | 9.06e-350, 1.01e-1853j | 
| 3.5897992683246175815e-68 + 3.8737933251468392389e-6071j | 2.52e-367, 2.82e-1871j | 
| 2.0475607900801848835e-18 + 5.9260429819922687714e-6044j | 1.87e-335, 2.09e-1839j | 
| 1.7140370136442630602e-05 - 4.3788809573334560191e-6035j | 1.17e-321, 1.31e-1825j | 
| 0.10842148747406455196 - 5.5347181787484092971e-6033j | 8.32e-296, 9.32e-1800j | 
| 1.92515601045505508e-09 - 1.5683682952052244228e-6038j | 2.3e-327, 2.58e-1831j | 
| 1.1057423323535992359e-101 - 1.0724254032257084059e-6088j | 1.14e-384, 1.28e-1888j | 
| 4.7888345426995839484e-05 + 5.5693633877707843514e-6035j | 3.75e-322, 4.21e-1826j | 
| 9.2671024849547661648e-66 - 7.4160877987784698153e-6070j | 3.33e-366, 3.73e-1870j | 
| 0.072742417723093551488 + 4.2091452769581349643e-6033j | 8.58e-305, 9.62e-1809j | 
| 0.016535841942904243557 + 1.3444174658741262764e-6033j | 2.62e-312, 2.93e-1816j | 
| 0.00030882965476472210773 + 9.3888403688426612512e-6035j | 4.19e-321, 4.69e-1825j | 
| 0.038353884652413751569 + 2.6205164410629873365e-6033j | 4.92e-310, 5.51e-1814j | 
| 1.300210621477125874e-07 + 3.1784889956808332922e-6037j | 1.22e-327, 1.36e-1831j | 
| 4.2625708671559858582e-06 - 8.3471642005746308594e-6036j | 5.25e-325, 5.89e-1829j | 
| 0.11092023215334969657 + 1.5128922524160857094e-6033j | 3.88e-308, 4.34e-1812j | 
| 0.0015224312025887935279 + 2.1717227013805117203e-6034j | 1.42e-319, 1.59e-1823j | 
| 7.7273849532428227178e-57 - 4.4565095223734210429e-6065j | 1.44e-362, 1.62e-1866j | 
| 1.275132057692559285e-28 - 9.9339551531404120686e-6049j | 2.64e-348, 2.96e-1852j | 
| 6.5847957087090252667e-25 + 2.9000807076795775221e-6047j | 3.37e-345, 3.77e-1849j | 
| 0.00012633900000444118528 - 6.8340294506058765166e-6035j | 4.05e-326, 4.54e-1830j | 
| 0.025733875363040854129 - 1.938576854839017301e-6033j | 4.55e-320, 5.1e-1824j | 
| 6.3173217174541899125e-49 - 9.0500502944311467855e-6061j | 3.3e-359, 3.7e-1863j | 
| 6.6146200815455598987e-98 + 9.8226525172207600437e-6087j | 5.33e-385, 5.97e-1889j | 
| 1.2476382974410207053e-38 - 5.7768161488136415952e-6055j | 3.99e-354, 4.47e-1858j | 
| 0.037192370854163270075 + 1.9410494793129990766e-6034j | 1.37e-324, 1.54e-1828j | 
| 0.1204224814105319071 + 4.208961178688924794e-6033j | 8.05e-324, 9.02e-1828j | 
| 2.3960101267552723176e-27 + 2.5237125348835142822e-6048j | 3.09e-348, 3.47e-1852j | 
| 3.4179037144201595445e-08 - 1.1498068523445406362e-6037j | 5.22e-336, 5.85e-1840j | 
| 2.7868311156973017746e-31 + 3.4080038817166021797e-6050j | 1.41e-350, 1.58e-1854j | 
| 0.00070810654838119502718 - 1.3958037176917489001e-6034j | 2.24e-332, 2.51e-1836j | 
| 0.12413716417948712287 - 2.6834812281156981636e-6033j | 1.7e-329, 1.9e-1833j | 
| 0.080559606352978583312 - 7.1053528809352474405e-6034j | 6.27e-330, 7.03e-1834j | 
| 1.5074325326382897886e-84 + 9.1168275989971042674e-6080j | 4.03e-379, 4.52e-1883j | 
| 1.4938582478122082432e-06 + 2.6656689536546682524e-6036j | 6.42e-335, 7.19e-1839j | 
All rules of Laguerre type can be downloaded here packed into a single file.