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.
    
Warning: This rule has negative weights!
| Node (ball center) | Error (ball radius) | 
|---|---|
| 334.12840446407602134 + 7.8000547005380705904e-5595j | 5.65e-2014, 5.65e-2014j | 
| 286.82804245322822082 - 3.0133208240714778355e-5581j | 1.17e-2008, 1.17e-2008j | 
| 244.68440570431393174 - 7.0626504479761474431e-5579j | 1.72e-2004, 1.72e-2004j | 
| 254.1090416184600809 - 1.7562771917947203688e-5608j | 2.37e-2005, 2.37e-2005j | 
| 264.16839545934081011 - 5.7120514274603422296e-5701j | 2.5e-2006, 2.5e-2006j | 
| 9.0177260653767104085 - 1.9480652656593491842e-5782j | 8.16e-2019, 8.16e-2019j | 
| 33.334749295272671371 - 2.0507340234276074866e-5805j | 7.34e-2007, 7.34e-2007j | 
| 211.6738362156004893 + 1.5588423186625573382e-5925j | 1.07e-2001, 1.07e-2001j | 
| 17.937352556907221122 + 1.1882881558191756597e-6014j | 4.57e-2013, 4.57e-2013j | 
| 16.541075619044889721 - 6.9543991929885676951e-6015j | 7.54e-2014, 7.54e-2014j | 
| 133.93129660938633229 - 6.3263296759085811598e-6102j | 8.31e-1998, 8.31e-1998j | 
| 154.43989720944851194 - 3.3040139128605057311e-6254j | 2.28e-1998, 2.28e-1998j | 
| 56.834888944953290217 + 2.1568975015252316588e-6357j | 1.06e-2001, 1.06e-2001j | 
| 165.67157145400228397 - 1.5428727322374648957e-6445j | 8.06e-1999, 8.06e-1999j | 
| 24.144849307247187466 - 2.1618533221568952476e-6512j | 4.01e-2010, 4.01e-2010j | 
| 143.88124540550573616 + 6.1831878355270362763e-6499j | 5.12e-1998, 5.12e-1998j | 
| 22.499146913631607151 + 1.7610686703320344692e-6523j | 7.93e-2011, 7.93e-2011j | 
| 65.337523803601311165 + 1.5426006953073557286e-6512j | 1.59e-2000, 1.59e-2000j | 
| 13.937182661313733758 + 4.4504547970062038719e-6528j | 2.21e-2015, 2.21e-2015j | 
| 46.574415819011181808 - 8.3918666535423622147e-6517j | 1.55e-2003, 1.55e-2003j | 
| 7.3088519092211118788 + 5.9806386819907800362e-6534j | 7.1e-2021, 7.1e-2021j | 
| 51.555310529536081678 + 4.2207921297788615168e-6515j | 1.41e-2002, 1.41e-2002j | 
| 77.828362204252939025 - 9.9433369287006148071e-6512j | 2.75e-1999, 2.75e-1999j | 
| 275.0037702711581833 - 4.5244910093740850551e-6520j | 2.04e-2007, 2.04e-2007j | 
| 2.6661477091006609457 - 8.1110859337637833767e-6539j | 1.65e-2026, 1.65e-2026j | 
| 35.369704448825785748 + 9.5980014347900076019e-6519j | 2.89e-2006, 2.89e-2006j | 
| 37.472115571231849447 + 2.955888338199284361e-6519j | 1.13e-2005, 1.13e-2005j | 
| 12.734180291797813758 + 2.3200162888425026623e-6528j | 4.19e-2016, 4.19e-2016j | 
| 315.17590961835322069 - 1.2679659148624118677e-6524j | 8.73e-2012, 8.73e-2012j | 
| 204.33038352921424582 - 1.6053888168335779824e-6510j | 3.79e-2001, 3.79e-2001j | 
| 15.207271637417875395 - 5.5262242711933560172e-6533j | 1.37e-2014, 1.37e-2014j | 
| 3.5387319842216727319 - 1.9948034572536966124e-6544j | 5.45e-2026, 5.45e-2026j | 
| 9.7528297354205314519 + 2.1440455073398700293e-6536j | 4.22e-2018, 4.22e-2018j | 
| 197.27996902783061678 - 3.262148881441193857e-6516j | 1.17e-2000, 1.17e-2000j | 
| 99.290922658487175313 - 1.7553551141732654539e-6517j | 4.97e-1998, 4.97e-1998j | 
| 111.39639417727804806 - 4.5923807961796207468e-6531j | 9.14e-1998, 9.14e-1998j | 
| 227.3653809145091431 + 3.9030849406636060821e-6559j | 5.9e-2003, 5.9e-2003j | 
| 1.9778359193026677298 - 3.7792997151201428789e-6618j | 2.53e-2029, 2.53e-2029j | 
| 29.463981109517197935 - 2.5792821798732056258e-6597j | 4.25e-2008, 4.25e-2008j | 
| 71.412369236825530403 - 2.8957631750376651003e-6586j | 7.16e-2000, 7.16e-2000j | 
| 120.03532717109831918 - 1.5672942234603254937e-6626j | 1.08e-1997, 1.08e-1997j | 
| 39.642849451957377645 - 3.2714165254314443582e-6681j | 4.06e-2005, 4.06e-2005j | 
| 299.9931879814233083 + 2.018890078115333827e-6674j | 4.35e-2010, 4.35e-2010j | 
| 20.91623900218150671 + 5.1399842104890094623e-6731j | 1.51e-2011, 1.51e-2011j | 
| 124.53753907838405584 + 3.0303821027275092868e-6717j | 1.01e-1997, 1.01e-1997j | 
| 84.601192804476065224 + 2.8775614039175369545e-6782j | 8.86e-1999, 8.86e-1999j | 
| 95.469047942014572216 + 1.2484357990793991367e-6871j | 3.53e-1998, 3.53e-1998j | 
| 4.9003530845264845681 + 2.0128532390292792873e-6967j | 4.86e-2024, 4.86e-2024j | 
| 31.36643175441983953 - 1.4578335555886145489e-6940j | 1.72e-2007, 1.72e-2007j | 
| 10.589620929365767217 + 2.1990726969640321807e-6967j | 1.99e-2017, 1.99e-2017j | 
| 68.333211242399613974 - 2.6861563122575454266e-6980j | 3.4e-2000, 3.4e-2000j | 
| 138.83370323759140607 + 2.7885506189108496383e-7074j | 7.16e-1998, 7.16e-1998j | 
| 54.157137021048409665 - 1.1536346935367254867e-7125j | 3.94e-2002, 3.94e-2002j | 
| 4.1958554484184389408 + 7.7955671029914318615e-7207j | 4.78e-2025, 4.78e-2025j | 
| 2.5678767449507462069 + 1.9480375545450826006e-7208j | 7.72e-2027, 7.72e-2027j | 
| 5.6555965348848389817 - 1.0610547516242741071e-7204j | 5.43e-2023, 5.43e-2023j | 
| 88.1268847707499885 + 5.1951078797064828228e-7179j | 1.53e-1998, 1.53e-1998j | 
| 159.96702263382760392 - 1.4605328714891895871e-7246j | 1.4e-1998, 1.4e-1998j | 
| 149.08078133871789018 + 2.105200645171974716e-7283j | 3.63e-1998, 3.63e-1998j | 
| 19.395727862262540312 - 9.8156861614339799018e-7309j | 2.6e-2012, 2.6e-2012j | 
| 27.626674365616914531 + 1.2006101557838293483e-7307j | 8.86e-2009, 8.86e-2009j | 
| 115.65640501240583432 + 3.2746825141055562538e-7293j | 1.02e-1997, 1.02e-1997j | 
| 103.21725259898567221 - 1.1465297068462245878e-7298j | 5.94e-1998, 5.94e-1998j | 
| 62.423620499620504215 - 1.46429826671034108e-7314j | 6.72e-2001, 6.72e-2001j | 
| 2.8643604543950187739 + 7.2756207175802778967e-7341j | 1.76e-2026, 1.76e-2026j | 
| 1.1138166249937374329 - 1.5373476726522002945e-7345j | 1.91e-2031, 1.91e-2031j | 
| 190.49772609809789245 - 1.0710364173651540403e-7311j | 3.24e-2000, 3.24e-2000j | 
| 235.79453667135114499 + 5.1901487664682256354e-7331j | 1.1e-2003, 1.1e-2003j | 
| 177.65659769435245069 - 1.5330966463768094783e-7359j | 1.95e-1999, 1.95e-1999j | 
| 6.4603597034011839842 + 1.0951864932434399822e-7432j | 6.3e-2022, 6.3e-2022j | 
| 0.58173989541852935206 - 4.8037049948270644502e-7446j | 5.55e-2035, 5.55e-2035j | 
| 183.96260829051714473 + 3.3252983435374569944e-7408j | 8.2e-2000, 8.2e-2000j | 
| 49.028138028221294032 - 1.2799707651791169901e-7453j | 4.76e-2003, 4.76e-2003j | 
| 171.56411501054410504 + 1.6583033783399906892e-7454j | 4.07e-1999, 4.07e-1999j | 
| 44.193003971903951698 - 2.7067302763233701925e-7494j | 4.74e-2004, 4.74e-2004j | 
| 1.0266648953391919503 - 3.3380309171887451694e-7522j | 1.01e-2031, 1.01e-2031j | 
| 1.5328727486882329578 + 2.6391623438299549745e-7520j | 1.08e-2030, 1.08e-2030j | 
| 59.58990989609861265 + 1.4811425229413795463e-7487j | 2.74e-2001, 2.74e-2001j | 
| 107.25125533555212236 - 1.5928258528395356255e-7490j | 7.7e-1998, 7.7e-1998j | 
| 81.169114924672048232 + 2.2163228434540262603e-7517j | 5.2e-1999, 5.2e-1999j | 
| 0.014839846181538247775 - 2.1191786743469640134e-7591j | 1.03e-2041, 1.03e-2041j | 
| 0.19304367656036241384 - 1.6592742370026188192e-7587j | 2.72e-2038, 2.72e-2038j | 
| 8.1821534445628607911 - 5.7760816780720528894e-7569j | 9.21e-2020, 9.21e-2020j | 
| 11.607914137198888291 + 3.3091338483424473671e-7566j | 7.81e-2017, 7.81e-2017j | 
| 129.16779964893097205 + 3.6768354433036241223e-7546j | 1.01e-1997, 1.01e-1997j | 
| 74.576786509124808804 + 1.2573659025152082122e-7566j | 1.46e-1999, 1.46e-1999j | 
| 0.078317359492126931141 + 3.8819329494884263534e-7606j | 5.65e-2040, 5.65e-2040j | 
| 91.748633166567247703 + 9.2540580855000181307e-7564j | 2.35e-1998, 2.35e-1998j | 
| 25.853837604274316507 - 2.1537924254942287735e-7582j | 1.92e-2009, 1.92e-2009j | 
| 219.34009974851524132 + 4.1025444339139111785e-7571j | 2.64e-2002, 2.64e-2002j | 
| 41.882822754647016492 - 1.3481059069463945564e-7588j | 1.53e-2004, 1.53e-2004j | 
| 0.87828497845397889501 - 8.6107894680009446915e-7617j | 9.25e-2033, 9.25e-2033j | 
| 0.3600525287797230181 + 5.6025209996128414282e-7621j | 1.06e-2036, 1.06e-2036j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.7294584349135986377e-144 + 8.9609666837977002103e-5706j | 1.17e-367, 2.1e-1871j | 
| 3.359227730507540514e-124 - 4.2165639405236432072e-5695j | 9.72e-362, 1.74e-1865j | 
| 4.9660062632676080349e-106 + 1.7974158343045167958e-5684j | 3.89e-356, 6.94e-1860j | 
| 4.262127230896971366e-110 + 3.0720633760782950843e-5687j | 1.27e-357, 2.27e-1861j | 
| 1.9541556732568470935e-114 - 8.9384742993365171917e-5690j | 2.79e-359, 4.98e-1863j | 
| 9.4513579336966140592e-05 - 1.587876179353071548e-5630j | 6.62e-236, 1.18e-1739j | 
| 6.6720420454589520737e-15 + 3.5070252968228357061e-5638j | 2.22e-285, 3.96e-1789j | 
| 8.8358563145249580766e-92 + 2.2071846824448728257e-5678j | 1.47e-352, 2.63e-1856j | 
| 2.3143861025749194799e-08 - 6.4660783200938464586e-5634j | 7.78e-263, 1.39e-1766j | 
| 8.9430031715849729075e-08 + 1.8072926671685275422e-5633j | 6.74e-260, 1.2e-1763j | 
| 3.2998978390987496515e-58 - 1.6452634435972947648e-5661j | 9.12e-338, 1.63e-1841j | 
| 4.6061128377630435679e-67 - 4.8558617348749798502e-5666j | 5.62e-343, 1e-1846j | 
| 5.6347688139818675508e-25 + 6.0372927447002178134e-5644j | 3.46e-309, 6.18e-1813j | 
| 6.5002472565793946265e-72 - 1.6781014907836072147e-5668j | 9.8e-346, 1.75e-1849j | 
| 5.4780348083955446158e-11 - 9.807994933920527022e-5636j | 2.18e-279, 3.89e-1783j | 
| 1.6696958744663997584e-62 - 1.0300318985731801121e-5663j | 1.13e-340, 2.01e-1844j | 
| 2.7334433623214225958e-10 + 2.8500031494352811579e-5635j | 4.18e-277, 7.47e-1781j | 
| 1.2438306230533686763e-28 - 5.983460408328210207e-5646j | 3.36e-315, 6e-1819j | 
| 1.0956458402829519238e-06 + 1.4435997552897864119e-5632j | 3.38e-263, 6.03e-1767j | 
| 1.4332882027405145565e-20 + 1.7572212668536044487e-5641j | 9e-304, 1.61e-1807j | 
| 0.00057993185812320882031 - 2.8923758833263799934e-5630j | 8.74e-246, 1.56e-1749j | 
| 1.0441931368939953663e-22 + 1.0996678044023444399e-5642j | 4.44e-307, 7.92e-1811j | 
| 5.2183702870358310533e-34 - 7.5292956340624756069e-5649j | 1.7e-322, 3.03e-1826j | 
| 4.1679310842174056138e-119 + 2.3469068754381480182e-5692j | 3.93e-366, 7.02e-1870j | 
| -0.11857841801595639033 + 3.0448038170644814389e-5627j | 7.58e-222, 1.35e-1725j | 
| 9.0114988496198539085e-16 - 1.0590946154851059916e-5638j | 1.2e-295, 2.14e-1799j | 
| 1.1369841685750087209e-16 + 3.1152292995708825367e-5639j | 1.02e-297, 1.82e-1801j | 
| 3.4415829871847762061e-06 - 4.2295079611153854056e-5632j | 1.6e-266, 2.87e-1770j | 
| 2.1918479315261946136e-136 - 1.5286219847605450862e-5701j | 9.76e-374, 1.74e-1877j | 
| 1.3101383014920615019e-88 - 7.7463720161202484872e-5677j | 1.9e-356, 3.4e-1860j | 
| 3.2379150061831017014e-07 - 5.071636272887734779e-5633j | 8.94e-274, 1.6e-1777j | 
| 0.018529167975238307992 + 7.9972401539245759388e-5629j | 2.26e-239, 4.04e-1743j | 
| 4.3006246143863130991e-05 + 9.9441925705850419989e-5631j | 2.57e-263, 4.58e-1767j | 
| 1.4522296033117470059e-85 + 2.444904735121768067e-5675j | 1.47e-355, 2.63e-1859j | 
| 2.9282847964386488839e-43 - 9.4885727876567087817e-5654j | 4.79e-335, 8.55e-1839j | 
| 1.7563429104730712874e-48 + 1.7686742604142124644e-5656j | 9.24e-339, 1.65e-1842j | 
| 1.4834820217911545912e-98 + 1.3850980660458191135e-5681j | 1.76e-361, 3.15e-1865j | 
| 0.066154025138575993727 + 3.3370561444878164081e-5628j | 1.04e-235, 1.85e-1739j | 
| 2.9904873384862989752e-13 + 3.5690221287053801984e-5637j | 2.01e-298, 3.59e-1802j | 
| 3.0224751606115338572e-31 - 2.2955537608538219344e-5647j | 5.19e-325, 9.26e-1829j | 
| 3.2861234528915956075e-52 + 2.0498031790818645411e-5658j | 2.51e-341, 4.49e-1845j | 
| 1.3389875657524935826e-17 - 8.9158988945806601562e-5640j | 4.71e-308, 8.41e-1812j | 
| 7.265048986681969817e-130 + 4.1216847924889677563e-5698j | 1.87e-374, 3.33e-1878j | 
| 1.2793440221879340742e-09 - 8.1566205559954428786e-5635j | 1.29e-292, 2.3e-1796j | 
| 3.7455335173512248281e-54 - 2.0248086123571038435e-5659j | 1.7e-342, 3.04e-1846j | 
| 6.3031798421359652359e-37 - 2.0934393998002661361e-5650j | 3.71e-332, 6.63e-1836j | 
| 1.3023778572236339955e-41 + 6.9745426112114485358e-5653j | 1.21e-335, 2.16e-1839j | 
| 0.0054326535223286949603 + 1.4497821264157683931e-5629j | 5.46e-271, 9.75e-1775j | 
| 4.6181815486104582753e-14 - 1.1323302053958769581e-5637j | 3.33e-305, 5.94e-1809j | 
| 2.3697904817383402906e-05 - 4.0595585718270005185e-5631j | 7.23e-284, 1.29e-1787j | 
| 6.3933324983020802812e-30 + 1.1945633609696650684e-5646j | 6.36e-326, 1.14e-1829j | 
| 2.5233918273950217733e-60 + 1.3467399211661357685e-5662j | 5.67e-347, 1.01e-1850j | 
| 7.9687033034061630052e-24 - 2.6202734132943818192e-5643j | 2.11e-320, 3.77e-1824j | 
| 0.010233087995205342332 - 3.04501836821541082e-5629j | 1.04e-273, 1.86e-1777j | 
| 0.12534653537317832022 - 2.3364509975060001576e-5627j | 3.1e-266, 5.54e-1770j | 
| 0.0027300408101246629782 - 7.7474495350852632013e-5630j | 1.43e-278, 2.55e-1782j | 
| 1.9056786767173594892e-38 + 3.271571215584231791e-5651j | 6.52e-334, 1.16e-1837j | 
| 1.8901269244952532795e-69 + 2.9730543927274205824e-5667j | 7.04e-353, 1.26e-1856j | 
| 9.4952919128923766436e-65 + 7.3391262410543419213e-5665j | 5.94e-350, 1.06e-1853j | 
| 5.6176924679268883602e-09 + 2.306119678028175621e-5634j | 8.03e-302, 1.43e-1805j | 
| 1.8128264494491704371e-12 - 1.099597579323120404e-5636j | 1.05e-308, 1.87e-1812j | 
| 2.5493015473473749278e-50 - 1.958112814721746847e-5657j | 1.33e-342, 2.37e-1846j | 
| 5.9314014600420753234e-45 + 1.2290785142012832551e-5654j | 7.73e-340, 1.38e-1843j | 
| 2.2293832172424172151e-27 + 2.8875963967087835311e-5645j | 7.71e-328, 1.38e-1831j | 
| 0.061028950370897628904 - 9.4197236442397638424e-5628j | 9.01e-284, 1.61e-1787j | 
| 0.19905370269582164972 + 2.2480754303088431848e-5627j | 7.36e-279, 1.31e-1782j | 
| 1.2332922523985476807e-82 - 6.9390985303911564547e-5674j | 1.5e-361, 2.67e-1865j | 
| 3.4095008277055283887e-102 - 3.6601802108412056106e-5683j | 2.59e-370, 4.63e-1874j | 
| 4.3340054965966097968e-77 - 4.1202792913958247127e-5671j | 1.53e-359, 2.73e-1863j | 
| 0.0012954762794620582091 + 4.5211902960999375093e-5630j | 7.52e-301, 1.34e-1804j | 
| 0.1403024935186284469 - 2.1655565935019335427e-5628j | 2.82e-289, 5.03e-1793j | 
| 8.1929303473101462233e-80 + 1.776534452312787401e-5672j | 7.04e-361, 1.26e-1864j | 
| 1.2693854764119810945e-21 - 4.4664580100409013419e-5642j | 1.07e-328, 1.91e-1832j | 
| 1.8539885763544783618e-74 + 8.6966520412832248439e-5670j | 2.76e-358, 4.93e-1862j | 
| 1.5048047611636161051e-19 - 6.7023441192985253098e-5641j | 1.38e-327, 2.47e-1831j | 
| -0.14096525681476478354 - 2.9928931683092927563e-5627j | 2.47e-298, 4.4e-1802j | 
| 0.089999190891319050984 - 3.9567327074970591963e-5628j | 8.28e-300, 1.48e-1803j | 
| 3.6870274472652570938e-26 - 1.3439028241041092648e-5644j | 2.19e-332, 3.9e-1836j | 
| 1.0789113139965947573e-46 - 1.513458269963189127e-5655j | 2.1e-345, 3.75e-1849j | 
| 1.8984280125092732388e-35 + 1.2823923549031549198e-5649j | 9.22e-340, 1.65e-1843j | 
| 0.037537142452684832194 - 6.6415285763225732575e-5630j | 4.94e-306, 8.82e-1810j | 
| 0.115950627932572226 - 5.3061438104756716797e-5629j | 6.7e-306, 1.2e-1809j | 
| 0.00024353749069683342835 + 2.0720695352124172454e-5630j | 2.65e-313, 4.72e-1817j | 
| 9.8291210793188348433e-06 + 1.296860778894414972e-5631j | 8.15e-316, 1.46e-1819j | 
| 3.7571905086477007897e-56 + 1.8832165159059630749e-5660j | 9.55e-351, 1.7e-1854j | 
| 1.3119064492268738396e-32 + 4.2418272401123043624e-5648j | 2.35e-338, 4.2e-1842j | 
| 0.082271768033230074239 + 2.4390323134617137206e-5629j | 5.31e-313, 9.48e-1817j | 
| 5.2337831341309667759e-40 - 4.8883887822484563658e-5652j | 1.61e-342, 2.87e-1846j | 
| 1.0293741430859697363e-11 + 3.3163893747366306401e-5636j | 7.86e-326, 1.4e-1829j | 
| 4.3258507489972608888e-95 - 5.7048102333315583883e-5680j | 8.45e-372, 1.51e-1875j | 
| 1.470569927425705329e-18 + 2.4805261472371608207e-5640j | 1.42e-330, 2.54e-1834j | 
| 0.16753936125707243942 + 1.1306508408629231027e-5627j | 2.74e-317, 4.93e-1821j | 
| 0.13513995355234236892 + 1.0255025417637736235e-5628j | 3.56e-318, 6.3e-1822j | 
All rules of Laguerre type can be downloaded here packed into a single file.