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) | 
|---|---|
| 311.13308412972790268 - 5.1552016695989202424e-5675j | 9.57e-2007, 9.57e-2007j | 
| 359.68504318705927647 + 5.6143852118041597455e-5688j | 3.27e-2012, 3.27e-2012j | 
| 249.84661096696527981 - 6.8526997532227839818e-5671j | 9.7e-2001, 9.7e-2001j | 
| 340.24879503652547469 - 2.5754142474444602915e-5699j | 6.15e-2010, 6.15e-2010j | 
| 218.69573934243635926 - 5.1283694813980557951e-5696j | 2.7e-1998, 2.7e-1998j | 
| 258.55500959994846807 + 4.5263420050664895659e-5722j | 1.55e-2001, 1.55e-2001j | 
| 324.66184574542437335 + 9.4514177431294982807e-5745j | 3.17e-2008, 3.17e-2008j | 
| 142.75623209395876712 - 3.4803373580273182822e-5742j | 1.09e-1994, 1.09e-1994j | 
| 76.567102097405936462 - 5.171784042741286355e-5761j | 6.75e-1997, 6.75e-1997j | 
| 267.73126396359327388 - 8.9538995135438142157e-5766j | 2.31e-2002, 2.31e-2002j | 
| 8.4489645305762925745 - 9.8976617242776036966e-5784j | 1.57e-2019, 1.57e-2019j | 
| 241.54806523625669572 + 3.1282509320355683258e-5763j | 4.82e-2000, 4.82e-2000j | 
| 204.86740227097368199 - 5.3907031547412357774e-5758j | 2.36e-1997, 2.36e-1997j | 
| 108.05894630715751016 + 5.1458104692733793939e-5761j | 6.51e-1995, 6.51e-1995j | 
| 7.5567192512694407605 + 1.194058190194332784e-5795j | 1.79e-2020, 1.79e-2020j | 
| 89.688695523800037303 - 3.6706995171959426775e-5769j | 8.09e-1996, 8.09e-1996j | 
| 18.926794393359570836 - 1.5725345245165442391e-5790j | 1.34e-2011, 1.34e-2011j | 
| 61.943231207890521664 - 1.0451335872790332393e-5777j | 9.65e-1999, 9.65e-1999j | 
| 82.962247942185552772 + 2.6645462436181615189e-5773j | 2.62e-1996, 2.62e-1996j | 
| 211.65660088678871068 + 9.2249568012369135012e-5776j | 8.67e-1998, 8.67e-1998j | 
| 287.81611895810954369 - 1.423895808788982533e-5797j | 2.6e-2004, 2.6e-2004j | 
| 124.51538944744164631 + 3.2247545306530977732e-5815j | 1.35e-1994, 1.35e-1994j | 
| 138.01501104710995741 - 4.2842851051155504044e-5874j | 1.26e-1994, 1.26e-1994j | 
| 16.212549775010613039 + 2.8900053742300199077e-5925j | 2.79e-2013, 2.79e-2013j | 
| 67.566329323079432229 + 6.4864960066825194311e-5907j | 6.23e-1998, 6.23e-1998j | 
| 174.10545029322060844 - 2.4591181363031028667e-5913j | 1.19e-1995, 1.19e-1995j | 
| 226.00628493995552817 + 7.165810650823477007e-5926j | 7.99e-1999, 7.99e-1999j | 
| 32.08132229501130898 - 1.3227364200262787212e-5938j | 8.92e-2006, 8.92e-2006j | 
| 14.939123560742604582 + 5.6762051057394615617e-5947j | 4.02e-2014, 4.02e-2014j | 
| 233.61360292319056582 - 2.2042073806333043203e-5929j | 2.03e-1999, 2.03e-1999j | 
| 17.541642468235171794 + 1.3126027365774243232e-5944j | 1.87e-2012, 1.87e-2012j | 
| 42.259487687854602215 - 8.6611620884602977072e-5935j | 1.11e-2002, 1.11e-2002j | 
| 6.7184239940497535982 + 8.4923419544914416502e-5954j | 2.01e-2021, 2.01e-2021j | 
| 9.3950709123011331292 + 1.3114715343495149213e-5950j | 1.37e-2018, 1.37e-2018j | 
| 104.19828161502554253 + 1.4503239175063143048e-5925j | 4.7e-1995, 4.7e-1995j | 
| 70.489707714374772648 - 1.6451152581040996411e-5937j | 1.47e-1997, 1.47e-1997j | 
| 96.761655441066530984 + 1.3119746342612744126e-5933j | 2.16e-1995, 2.16e-1995j | 
| 4.5366202969211279833 - 1.3441447705144126153e-5988j | 3.05e-2024, 3.05e-2024j | 
| 3.0007127940451412776 + 1.0473758117260754864e-5991j | 8.73e-2027, 8.73e-2027j | 
| 28.439993145928550131 + 2.3562144489939193929e-5972j | 3.93e-2007, 3.93e-2007j | 
| 133.39738849471652123 - 4.1879547432057159461e-5958j | 1.33e-1994, 1.33e-1994j | 
| 120.24306448410650283 + 2.9516386042210231606e-5986j | 1.21e-1994, 1.21e-1994j | 
| 191.96780177394025577 - 2.8519818836262515862e-6036j | 1.46e-1996, 1.46e-1996j | 
| 38.000495713944935767 - 4.8996628298212310217e-6079j | 7.15e-2004, 7.15e-2004j | 
| 59.240934015611773326 - 3.1620337612263071443e-6070j | 3.83e-1999, 3.83e-1999j | 
| 298.97102702863779377 + 1.1637863127291025955e-6077j | 1.82e-2005, 1.82e-2005j | 
| 1.7457611011583465757 - 8.213957360336730238e-6155j | 2.69e-2030, 2.69e-2030j | 
| 10.395120589770186742 + 9.1122730782882759162e-6142j | 1.18e-2017, 1.18e-2017j | 
| 198.30976592253325717 - 4.4164767483006803881e-6119j | 6.32e-1997, 6.32e-1997j | 
| 54.048881613593197072 + 1.5495826871969913778e-6161j | 4.62e-2000, 4.62e-2000j | 
| 168.50301622538639868 + 6.6696493680944343363e-6197j | 1.99e-1995, 1.99e-1995j | 
| 100.43335315596356257 + 2.0061423731990115226e-6239j | 3.3e-1995, 3.3e-1995j | 
| 277.45095625356601487 - 3.5429881450883317695e-6269j | 2.72e-2003, 2.72e-2003j | 
| 163.06122484802711335 + 2.5196931877104709126e-6312j | 3.27e-1995, 3.27e-1995j | 
| 1.3727541754818505665 + 3.1385489184212594645e-6398j | 1.28e-2031, 1.28e-2031j | 
| 49.132947647804491674 - 7.4960084356865000609e-6363j | 4.66e-2001, 4.66e-2001j | 
| 179.8771271032498211 + 7.3473384180505115695e-6377j | 6.51e-1996, 6.51e-1996j | 
| 64.71794466529808018 - 1.3668106061748610809e-6425j | 2.48e-1998, 2.48e-1998j | 
| 23.422893310110013703 - 2.9346391382011165007e-6479j | 2.55e-2009, 2.55e-2009j | 
| 1.0425581015552307426 + 9.9900523232583823776e-6523j | 6.5e-2033, 6.5e-2033j | 
| 21.866966889930326192 + 5.4100214727144931499e-6485j | 4.73e-2010, 4.73e-2010j | 
| 112.01802283271412741 - 3.220775379474595748e-6510j | 8.37e-1995, 8.37e-1995j | 
| 93.180838606650231456 + 1.8152138748254969316e-6644j | 1.36e-1995, 1.36e-1995j | 
| 26.708877434452269624 - 4.4249673831390157177e-6712j | 7.43e-2008, 7.43e-2008j | 
| 46.775996275645800037 + 5.1574229453247592983e-6810j | 1.44e-2001, 1.44e-2001j | 
| 128.89889081949842477 - 6.750126117243260479e-7027j | 1.36e-1994, 1.36e-1994j | 
| 5.2061795094646945279 + 6.4928979710028771163e-7184j | 2.5e-2023, 2.5e-2023j | 
| 152.6293497441175208 - 1.5551776417749920104e-7200j | 7.03e-1995, 7.03e-1995j | 
| 44.485137133594319311 + 1.8555451006909324063e-7255j | 4.13e-2002, 4.13e-2002j | 
| 51.556918154612284319 + 2.2536228562760806303e-7265j | 1.48e-2000, 1.48e-2000j | 
| 2.5860423504802622854 - 1.4087050017610729608e-7337j | 8.71e-2028, 8.71e-2028j | 
| 40.098207430389118376 + 1.5605173101341977782e-7304j | 2.91e-2003, 2.91e-2003j | 
| 147.62591251597250333 - 5.6306305544758843247e-7393j | 9.07e-1995, 9.07e-1995j | 
| 185.82764987009150896 - 3.0771936872053660243e-7511j | 3.59e-1996, 3.59e-1996j | 
| 12.557823030927028015 + 1.5826097660278724003e-7590j | 7.77e-2016, 7.77e-2016j | 
| 0.75709246425862796209 + 7.7320397471247517447e-7609j | 2.82e-2034, 2.82e-2034j | 
| 5.9345097967040690679 - 2.72951642334162178e-7597j | 2.4e-2022, 2.4e-2022j | 
| 35.96558975188708616 + 2.6570717822136185295e-7570j | 1.73e-2004, 1.73e-2004j | 
| 3.4220350920538788231 + 5.5460643767270897979e-7603j | 6.06e-2026, 6.06e-2026j | 
| 0.070719146806515451027 - 1.1124475898249929005e-7616j | 5.97e-2040, 5.97e-2040j | 
| 20.36842228564625854 - 2.4760854285317342264e-7587j | 7.74e-2011, 7.74e-2011j | 
| 0.17376689820567744276 + 1.4502248664037569475e-7616j | 1.56e-2038, 1.56e-2038j | 
| 33.992762769481811979 - 9.5918132228958107765e-7573j | 4.01e-2005, 4.01e-2005j | 
| 157.77233563318753268 - 7.0651343935312671913e-7582j | 4.98e-1995, 4.98e-1995j | 
| 79.724145185390695275 - 5.3639065814011121404e-7607j | 1.4e-1996, 1.4e-1996j | 
| 0.013423530869661073201 + 1.7252246339446906212e-7667j | 1.27e-2041, 1.27e-2041j | 
| 13.720995517246647728 + 4.9990797867565061332e-7642j | 5.51e-2015, 5.51e-2015j | 
| 73.489474608447646107 + 1.7291837166769146266e-7621j | 3.44e-1997, 3.44e-1997j | 
| 116.07837323615123072 + 1.0588826896313876694e-7640j | 1.04e-1994, 1.04e-1994j | 
| 11.449291763485370242 + 8.217506198613577628e-7680j | 9.44e-2017, 9.44e-2017j | 
| 56.609861514218050438 + 8.4545341527414359096e-7664j | 1.38e-1999, 1.38e-1999j | 
| 3.9346927227588626967 + 1.7869006384780426476e-7688j | 4.17e-2025, 4.17e-2025j | 
| 0.3225476896193923118 - 8.9108523779319076913e-7701j | 5.18e-2037, 5.18e-2037j | 
| 2.1559148503801469847 + 9.2372109663986723741e-7693j | 5.12e-2029, 5.12e-2029j | 
| 25.036691584907266024 - 5.1040254252165209573e-7672j | 1.42e-2008, 1.42e-2008j | 
| 86.283150292571145655 + 1.6261164215083755424e-7657j | 4.81e-1996, 4.81e-1996j | 
| 30.230608580795009765 + 1.8551428505828216775e-7681j | 1.89e-2006, 1.89e-2006j | 
| 0.51701603646357249251 + 4.0388341191579185254e-7710j | 1.27e-2035, 1.27e-2035j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.6101986805546076529e-135 - 1.2807985206751978671e-5793j | 3.92e-354, 4.61e-1856j | 
| 1.4109302975564630828e-155 + 2.2014577086529296047e-5804j | 1.41e-360, 1.66e-1862j | 
| 2.6433642497937485424e-108 + 9.1663108661655643809e-5779j | 4.96e-346, 5.83e-1848j | 
| 2.9039701808286042767e-147 - 4.1718494154697441421e-5800j | 2.11e-358, 2.48e-1860j | 
| 7.5374617238206017738e-95 + 3.7951784013300312638e-5773j | 8.83e-342, 1.04e-1843j | 
| 4.5909903589905146226e-112 + 2.603402998725614314e-5781j | 1.05e-347, 1.24e-1849j | 
| 1.4434707986135664164e-140 + 1.2060686331428758632e-5796j | 5.04e-357, 5.92e-1859j | 
| 4.8240735651698420183e-62 - 5.316536919194082222e-5757j | 2.08e-328, 2.44e-1830j | 
| 1.7421135866927437172e-33 + 1.605549134765840607e-5742j | 9.57e-306, 1.13e-1807j | 
| 5.0172361191014871764e-116 - 1.2573790552016239831e-5783j | 1.48e-349, 1.74e-1851j | 
| 0.00019681515386092981909 - 1.3321915408698649491e-5726j | 2.29e-225, 2.7e-1727j | 
| 1.0139418571559858172e-104 - 1.4224793981870361406e-5777j | 8.44e-346, 9.92e-1848j | 
| 7.1020089291860084826e-89 + 2.8153775292436271802e-5770j | 2.45e-341, 2.88e-1843j | 
| 4.5994625442542551934e-47 - 1.8896742515464801852e-5749j | 1.3e-320, 1.53e-1822j | 
| 0.00045219726788958883299 + 2.4843644475336432284e-5726j | 2.67e-226, 3.14e-1728j | 
| 3.8576760543360975729e-39 + 2.0324842896012004315e-5745j | 3.21e-314, 3.77e-1816j | 
| 8.5199621636605156913e-09 + 2.3301636760724440952e-5729j | 1.39e-261, 1.64e-1763j | 
| 3.4346127105736952958e-27 - 2.871781198243024277e-5739j | 1.2e-302, 1.41e-1804j | 
| 3.0600038721867002395e-36 + 6.184348593841459192e-5744j | 1.5e-311, 1.76e-1813j | 
| 8.2839786244580952687e-92 - 1.0781497997059181314e-5771j | 3.38e-343, 3.97e-1845j | 
| 1.0806879537038647889e-124 - 2.4650354950775346636e-5788j | 2.02e-355, 2.37e-1857j | 
| 3.6296981937079562262e-54 - 4.8454478503120900078e-5753j | 2.04e-327, 2.39e-1829j | 
| 5.3822320360793674039e-60 + 5.6592972966081184939e-5756j | 1.26e-330, 1.49e-1832j | 
| 1.1839185267685514265e-07 + 1.1026551066539783395e-5728j | 1.48e-264, 1.74e-1766j | 
| 1.3078575874710025485e-29 - 1.5999367028161076676e-5740j | 1.88e-308, 2.21e-1810j | 
| 1.3859120679579809671e-75 - 9.4404230553926070027e-5764j | 2.3e-339, 2.71e-1841j | 
| 5.2375260938101550745e-98 - 1.243989266370353006e-5774j | 2.42e-346, 2.84e-1848j | 
| 2.1960416630926675869e-14 + 1.7255313043772288501e-5732j | 1.51e-290, 1.77e-1792j | 
| 4.0498669210199188781e-07 - 2.3188756454760123358e-5728j | 1.4e-266, 1.65e-1768j | 
| 2.7105783185409727316e-101 + 3.9539410603153330015e-5776j | 1.55e-347, 1.83e-1849j | 
| 3.2685781470393963257e-08 - 5.127602588108765403e-5729j | 2.36e-271, 2.78e-1773j | 
| 9.7283974055820135242e-19 - 7.8641780068328823705e-5735j | 3.46e-299, 4.07e-1801j | 
| 0.00098031106118773046476 - 4.6039885071459709062e-5726j | 2.66e-246, 3.13e-1748j | 
| 8.0892788199163276934e-05 + 7.0674205379966647214e-5727j | 3.91e-255, 4.6e-1757j | 
| 2.1303736517655536248e-45 + 1.3229370501212265737e-5748j | 4.13e-324, 4.85e-1826j | 
| 7.2143347357364756976e-31 + 3.580165694946188862e-5741j | 8.24e-313, 9.69e-1815j | 
| 3.4384297920911926872e-42 + 5.6575398014346525596e-5747j | 3.83e-322, 4.5e-1824j | 
| 0.006833115250751015311 + 3.0509962799981132486e-5725j | 3.83e-243, 4.5e-1745j | 
| 0.020021365927667248477 - 1.4415219620729992013e-5724j | 9.84e-234, 1.16e-1735j | 
| 7.8409757083206178984e-13 + 1.2237868326747846557e-5731j | 8.73e-291, 1.03e-1792j | 
| 5.3083816827037338151e-58 - 5.682462020054145151e-5755j | 1.71e-332, 2.02e-1834j | 
| 2.5363018335342495948e-52 + 4.1294172878561412838e-5752j | 2.51e-329, 2.96e-1831j | 
| 2.6579749253509294222e-83 + 1.4764238344930906182e-5767j | 1.43e-345, 1.69e-1847j | 
| 6.4828139428443345792e-17 - 7.4115125482544022708e-5734j | 3.74e-302, 4.39e-1804j | 
| 4.9880342909448594025e-26 + 1.1549766362777541896e-5738j | 2.09e-312, 2.46e-1814j | 
| 1.6730332199579959057e-129 + 7.0794774741724494923e-5791j | 5.34e-364, 6.28e-1866j | 
| 0.068597067726667151521 + 1.0204252015734642441e-5724j | 5.84e-237, 6.86e-1739j | 
| 3.1409324931672269198e-05 - 3.6976681094643318738e-5727j | 1.58e-272, 1.86e-1774j | 
| 4.8366331189961875675e-86 - 6.7346991161398227092e-5769j | 2.87e-346, 3.37e-1848j | 
| 8.4987163848157412599e-24 + 1.6887257320580304671e-5737j | 1.13e-312, 1.33e-1814j | 
| 3.648113729392867727e-73 + 1.4983320328790039314e-5762j | 9.9e-343, 1.16e-1844j | 
| 8.9670103852040926623e-44 - 8.8467232139046266099e-5748j | 5.8e-327, 6.82e-1829j | 
| 3.2030288529407994381e-120 + 6.1687210418404235923e-5786j | 3.75e-361, 4.41e-1863j | 
| 8.182913537983096769e-71 - 2.2101910280561858952e-5761j | 3.02e-342, 3.56e-1844j | 
| 0.089225489326272685589 - 8.9252326370820312578e-5725j | 2.7e-249, 3.18e-1751j | 
| 1.0971975950473404475e-21 + 2.1664452542872522224e-5736j | 1.03e-314, 1.21e-1816j | 
| 4.4484629472072533772e-78 + 5.5115871350698575824e-5765j | 7.79e-345, 9.16e-1847j | 
| 2.1992077686648564899e-28 + 6.8985003558716103567e-5740j | 1.3e-318, 1.53e-1820j | 
| 1.0654553949329265192e-10 - 1.8926553496417178649e-5730j | 4.44e-302, 5.23e-1804j | 
| 0.10858731311740812753 + 7.774002575990510856e-5725j | 1e-254, 1.18e-1756j | 
| 4.8660921534224564896e-10 + 4.4793486765839445677e-5730j | 1.23e-300, 1.44e-1802j | 
| 9.0001697784783003616e-49 + 2.5750401016551652424e-5750j | 6.29e-332, 7.4e-1834j | 
| 1.2039359598536272392e-40 - 3.463834624260395109e-5746j | 2.47e-327, 2.91e-1829j | 
| 4.2788661826796545989e-12 - 3.1298996238746206284e-5731j | 3.06e-306, 3.59e-1808j | 
| 1.1262458027059664622e-20 - 7.3984456293342741332e-5736j | 6.85e-316, 8.06e-1818j | 
| 4.6487806060247893307e-56 + 5.3925809602288795475e-5754j | 5.5e-336, 6.47e-1838j | 
| 0.0038364666914326059077 - 1.5966060791414153019e-5725j | 2.33e-286, 2.74e-1788j | 
| 2.6248963295324752421e-66 - 3.9048117212786717658e-5759j | 2.82e-342, 3.32e-1844j | 
| 1.0816721814353938301e-19 + 2.4492652065212866836e-5735j | 4.03e-316, 4.74e-1818j | 
| 9.9922109456936006253e-23 - 6.1465524389670009769e-5737j | 2.3e-318, 2.71e-1820j | 
| 0.032282490677444157292 + 1.4028778669250687317e-5724j | 1.5e-284, 1.76e-1786j | 
| 8.2001169462529141684e-18 + 2.4502319310637180841e-5734j | 3.35e-315, 3.94e-1817j | 
| 3.8038554294266617495e-64 + 4.7014381925982845675e-5758j | 1.94e-341, 2.29e-1843j | 
| 1.1949801484554187453e-80 - 2.9725224195598455361e-5766j | 5.99e-349, 7.04e-1851j | 
| 3.99493204415720972e-06 - 9.6245481259620623692e-5728j | 2.07e-304, 2.43e-1806j | 
| 0.12327427067766461269 - 6.5916979466739944166e-5725j | 1.34e-285, 1.58e-1787j | 
| 0.0020018945766035071654 + 8.5332623736527792801e-5726j | 1.17e-296, 1.37e-1798j | 
| 4.8104531555053040233e-16 + 2.1774986955064991821e-5733j | 1.06e-315, 1.24e-1817j | 
| 0.015010664424970264042 + 1.0770254015169580563e-5724j | 1.29e-294, 1.52e-1796j | 
| 0.074695864331589229424 - 1.3865181267516879751e-5725j | 1.49e-289, 1.75e-1791j | 
| 2.0961729622937924207e-09 - 1.0341246869963375222e-5729j | 1.15e-309, 1.35e-1811j | 
| 0.10583556544183133863 + 2.628770279507377905e-5725j | 2.37e-290, 2.79e-1792j | 
| 3.3526224391693139879e-15 - 6.2167444462832267578e-5733j | 2.51e-315, 2.95e-1817j | 
| 1.5761052024483184952e-68 + 3.0387965067865354885e-5760j | 1.64e-344, 1.93e-1846j | 
| 7.603715492082761063e-35 - 3.2128377680610945995e-5743j | 3.14e-329, 3.69e-1831j | 
| 0.033988765736448780125 + 4.0396853753045907313e-5726j | 2.17e-296, 2.55e-1798j | 
| 1.3086139997584854088e-06 + 4.7729360438143250343e-5728j | 1.08e-309, 1.27e-1811j | 
| 3.6861932320978600265e-32 - 7.7241376268325359539e-5742j | 1.05e-327, 1.24e-1829j | 
| 1.5916781422929441749e-50 - 3.3431442975219285346e-5751j | 5.42e-337, 6.37e-1839j | 
| 1.1523515228397868876e-05 + 1.903522783227055022e-5727j | 1.61e-310, 1.89e-1812j | 
| 6.7441594108986979433e-25 - 4.4904460233337782042e-5738j | 7.6e-324, 8.93e-1826j | 
| 0.010990514479569513099 - 5.9527574267246901473e-5725j | 2.3e-307, 2.7e-1809j | 
| 0.12431427777253724965 - 3.9769727384624514584e-5725j | 3.82e-306, 4.5e-1808j | 
| 0.049175454016289924416 - 1.1891413365046608814e-5724j | 1.26e-306, 1.48e-1808j | 
| 2.1994554367052988296e-11 + 7.7967882633522675022e-5731j | 1.78e-316, 2.09e-1818j | 
| 1.1334930886481241897e-37 - 1.1441149308683631374e-5744j | 3.74e-331, 4.39e-1833j | 
| 1.352754755374533586e-13 - 4.6584035451960699563e-5732j | 5.32e-318, 6.26e-1820j | 
| 0.12957039986667639907 + 5.3209377086085668882e-5725j | 1.97e-309, 2.3e-1811j | 
All rules of Laguerre type can be downloaded here packed into a single file.