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) | 
|---|---|
| 320.13121285878746144 + 3.1906058660578134359e-4678j | 5.32e-2006, 5.32e-2006j | 
| 286.09145117345046488 + 4.6962395345855484894e-4679j | 1.65e-2002, 1.65e-2002j | 
| 296.57010951376992774 - 5.8127495828032985929e-4698j | 1.52e-2003, 1.52e-2003j | 
| 369.14871768630338013 + 1.7024648300912903464e-4719j | 1.41e-2011, 1.41e-2011j | 
| 307.84366572983999963 + 5.1300155422453108564e-4739j | 1.08e-2004, 1.08e-2004j | 
| 170.16290485567795125 - 3.3845570956104254317e-4801j | 3.08e-1994, 3.08e-1994j | 
| 258.16797931824380152 + 2.0043224131280591038e-4874j | 6.41e-2000, 6.41e-2000j | 
| 175.69395423630074957 + 4.7945751670571655705e-4932j | 1.84e-1994, 1.84e-1994j | 
| 56.002466932900602193 + 3.4854749670385407276e-4966j | 3.82e-1999, 3.82e-1999j | 
| 23.289950676187580246 + 8.794680277384790493e-4976j | 3.62e-2009, 3.62e-2009j | 
| 35.685819593462711564 - 8.5722097584300038647e-4971j | 3.42e-2004, 3.42e-2004j | 
| 24.88786446026288015 + 5.1037476329631696139e-4975j | 2.19e-2008, 2.19e-2008j | 
| 26.542528063704542716 - 1.8366132682283979774e-4974j | 1.16e-2007, 1.16e-2007j | 
| 95.297901934591542525 + 2.18798914243505912e-4960j | 1.18e-1994, 1.18e-1994j | 
| 78.656425799920453703 + 3.715862526790496206e-4969j | 5.75e-1996, 5.75e-1996j | 
| 154.46186660640622083 - 1.5018284741378878254e-4974j | 8.3e-1994, 8.3e-1994j | 
| 33.739250378686997251 - 1.3483273918184993241e-5008j | 7.42e-2005, 7.42e-2005j | 
| 333.79513443883702776 - 1.9991162504572556961e-5009j | 1.68e-2007, 1.68e-2007j | 
| 98.877948672508745507 - 1.8901684984548137326e-4996j | 2.11e-1994, 2.11e-1994j | 
| 58.585768188624064771 + 1.2694322820365885607e-5004j | 1.11e-1998, 1.11e-1998j | 
| 72.554759891105212888 + 1.7405321145733670932e-5002j | 1.17e-1996, 1.17e-1996j | 
| 8.3861474526207281552 + 4.4319855469634592037e-5026j | 6.77e-2020, 6.77e-2020j | 
| 139.96972806979708255 + 1.5091774720488218405e-4998j | 1.38e-1993, 1.38e-1993j | 
| 126.55288420585096582 + 2.3296349790687817671e-5024j | 1.35e-1993, 1.35e-1993j | 
| 63.95941896193886637 + 1.8944276072235717653e-5056j | 7.76e-1998, 7.76e-1998j | 
| 219.48855687329802245 - 6.302894223451633373e-5061j | 6.78e-1997, 6.78e-1997j | 
| 5.8510076338392671084 - 1.5735216831732767413e-5120j | 5.31e-2023, 5.31e-2023j | 
| 7.4893969281063916249 - 5.1792907591577525577e-5119j | 6.26e-2021, 6.26e-2021j | 
| 69.616698603361010936 + 8.9360354417642873419e-5094j | 4.83e-1997, 4.83e-1997j | 
| 81.822931318725729904 + 1.0469361018158342245e-5090j | 1.22e-1995, 1.22e-1995j | 
| 18.83196621730486224 - 3.5118811312536226103e-5125j | 1.45e-2011, 1.45e-2011j | 
| 266.97986696571836322 - 1.0710203951811159307e-5106j | 1.07e-2000, 1.07e-2000j | 
| 1.7246954860987463489 + 1.6956138844223865777e-5204j | 4.7e-2031, 4.7e-2031j | 
| 199.52076078746860067 + 7.5326334384203638106e-5167j | 1.24e-1995, 1.24e-1995j | 
| 249.76820663313096979 - 1.3547043459543067975e-5244j | 3.16e-1999, 3.16e-1999j | 
| 159.55358741681943347 - 4.302851933863418315e-5313j | 6.52e-1994, 6.52e-1994j | 
| 30.024167619966508171 + 4.7419845291393644603e-5358j | 3.24e-2006, 3.24e-2006j | 
| 349.53242761347556296 + 4.5416357201304227559e-5345j | 2.84e-2009, 2.84e-2009j | 
| 205.95485212217266814 - 4.8585251216482598517e-5356j | 5.66e-1996, 5.66e-1996j | 
| 51.037712897018162274 - 1.3125839116861924912e-5374j | 3.92e-2000, 3.92e-2000j | 
| 276.26230672765035686 + 1.9878496154288917663e-5369j | 1.44e-2001, 1.44e-2001j | 
| 106.30588000846263994 + 5.4236316735946472943e-5368j | 4.34e-1994, 4.34e-1994j | 
| 13.65554972621984427 - 1.1774399754797541275e-5390j | 4.6e-2015, 4.6e-2015j | 
| 48.654327799756709044 + 1.0716339810112181161e-5375j | 1.18e-2000, 1.18e-2000j | 
| 14.868582109932542951 + 6.6878587502496470775e-5389j | 3.94e-2014, 3.94e-2014j | 
| 110.15836387614156231 - 1.9030667867211343553e-5368j | 6.37e-1994, 6.37e-1994j | 
| 41.889479283092786928 - 1.520240009679960312e-5380j | 2.33e-2002, 2.33e-2002j | 
| 102.54653207310464422 + 1.8299266214199997663e-5371j | 3.26e-1994, 3.26e-1994j | 
| 44.081047435819529598 - 1.6085646328402749499e-5390j | 8.82e-2002, 8.82e-2002j | 
| 66.752008736193312281 + 1.2556560590172167993e-5386j | 1.96e-1997, 1.96e-1997j | 
| 1 + 2.6636093963938725125e-5422j | 1.51e-2033, 1.51e-2033j | 
| 122.30078210524834102 + 6.094834325537686542e-5381j | 1.19e-1993, 1.19e-1993j | 
| 118.15302213957613187 + 1.2235278629073013515e-5440j | 1.01e-1993, 1.01e-1993j | 
| 53.486778377863051818 + 1.0517140153425942574e-5503j | 1.31e-1999, 1.31e-1999j | 
| 10.335961984139348737 + 1.3104414668060517774e-5551j | 6.71e-2018, 6.71e-2018j | 
| 135.38364629322821103 - 1.12480221894208607e-5622j | 1.4e-1993, 1.4e-1993j | 
| 234.02946439893975314 - 1.3467660018454386114e-5793j | 6.01e-1998, 6.01e-1998j | 
| 21.74830110675339141 + 3.007354208293255607e-5878j | 6.59e-2010, 6.59e-2010j | 
| 193.28921422018338049 - 1.4460943977795304399e-5942j | 2.84e-1995, 2.84e-1995j | 
| 164.78513281019322489 - 9.9929763566980704873e-5992j | 4.58e-1994, 4.58e-1994j | 
| 39.760241512628907134 + 2.0558701817981390884e-6025j | 6.11e-2003, 6.11e-2003j | 
| 9.3349171694594446072 + 5.4331814226223444698e-6042j | 6.97e-2019, 6.97e-2019j | 
| 3.7780478201216761297 - 1.1405963135955688838e-6048j | 2.49e-2026, 2.49e-2026j | 
| 20.262453124021063807 - 1.9866790208668526049e-6033j | 1.01e-2010, 1.01e-2010j | 
| 12.495981293203896953 - 1.0332440370710373982e-6038j | 5.67e-2016, 5.67e-2016j | 
| 16.135419410841489032 - 1.5319394209415299254e-6035j | 3.01e-2013, 3.01e-2013j | 
| 1.3372863876001324682 + 1.686163334100821716e-6054j | 2.92e-2032, 2.92e-2032j | 
| 91.804295922699167809 + 3.6231647754714543507e-6015j | 7.18e-1995, 7.18e-1995j | 
| 0.47525724831001938824 - 2.5905439886958995755e-6082j | 4.12e-2036, 4.12e-2036j | 
| 130.9126484644805263 + 4.7888006403959643403e-6038j | 1.48e-1993, 1.48e-1993j | 
| 4.4180076183581363978 + 1.0291927760687177287e-6137j | 3.42e-2025, 3.42e-2025j | 
| 31.852238283678232889 - 7.8564190444937052446e-6107j | 1.52e-2005, 1.52e-2005j | 
| 241.73443904768817521 + 7.0762337566885104809e-6108j | 1.52e-1998, 1.52e-1998j | 
| 28.254450988493935694 + 2.0209129076428332022e-6178j | 6.01e-2007, 6.01e-2007j | 
| 17.456421190287130098 + 1.3169682299538647957e-6180j | 2.27e-2012, 2.27e-2012j | 
| 2.1623476906141724909 - 3.195673421982128677e-6211j | 8.1e-2030, 8.1e-2030j | 
| 37.692591211275991616 - 9.5290198236128636759e-6176j | 1.42e-2003, 1.42e-2003j | 
| 3.1888860573994939131 + 4.8089457988342737611e-6214j | 1.7e-2027, 1.7e-2027j | 
| 212.60544893820463863 + 1.1400915353458605184e-6179j | 1.93e-1996, 1.93e-1996j | 
| 114.10651158358442562 + 1.533831220803588702e-6252j | 8.23e-1994, 8.23e-1994j | 
| 11.38955386590423458 + 1.897175968656741636e-6325j | 6.56e-2017, 6.56e-2017j | 
| 46.335724759008427999 + 2.5907004987071186454e-6302j | 3.25e-2001, 3.25e-2001j | 
| 181.38607848681217115 - 5.1991473080077715654e-6339j | 1.03e-1994, 1.03e-1994j | 
| 144.67505484385659409 + 3.2959609757858933611e-6419j | 1.29e-1993, 1.29e-1993j | 
| 187.24794069761638201 + 5.4543454410851335656e-6488j | 5.47e-1995, 5.47e-1995j | 
| 75.567531743924431604 + 1.4785480514776895655e-6523j | 2.8e-1996, 2.8e-1996j | 
| 85.068620815001938046 + 1.5995741416401558001e-6531j | 2.36e-1995, 2.36e-1995j | 
| 0.057429687633996955996 - 4.7412436470507873941e-6637j | 2.46e-2040, 2.46e-2040j | 
| 6.6444253314582012937 - 5.1003375634043660526e-6601j | 5.57e-2022, 5.57e-2022j | 
| 226.62268735153973569 + 2.0640381077372371987e-6590j | 2.26e-1997, 2.26e-1997j | 
| 149.50413496436575384 - 1.2536378348076852419e-6650j | 1.07e-1993, 1.07e-1993j | 
| 5.1089336458542751344 - 5.7987781135805518824e-6707j | 4.15e-2024, 4.15e-2024j | 
| 0.28739096933410435267 - 1.1060109268401450682e-6720j | 1.73e-2037, 1.73e-2037j | 
| 0.14857607306560067659 - 5.1964112829969252424e-6721j | 7.25e-2039, 7.25e-2039j | 
| 0.010375679686334352911 + 6.6038591544253893165e-6724j | 9.08e-2042, 9.08e-2042j | 
| 2.6503670714370330071 - 2.8700414200005965448e-6711j | 1.24e-2028, 1.24e-2028j | 
| 61.237721496604711022 - 7.1597332934970085233e-6681j | 2.98e-1998, 2.98e-1998j | 
| 0.7127094661102917023 + 8.7713489520362248836e-6719j | 7.71e-2035, 7.71e-2035j | 
| 88.395156259949213318 - 5.2769619416387910842e-6677j | 4.1e-1995, 4.1e-1995j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.2002855126802253228e-138 - 3.6168797077151434726e-4811j | 9.01e-348, 1.09e-1848j | 
| 5.7258340959573561033e-124 - 1.3444931005793872885e-4802j | 1.9e-343, 2.29e-1844j | 
| 1.7240657591979552047e-128 - 1.4081309092100943304e-4805j | 5.84e-345, 7.04e-1846j | 
| 1.1051016214030412566e-159 + 4.4978643499288957175e-4822j | 4.8e-356, 5.78e-1857j | 
| 2.3697064160594060028e-133 + 2.5148836025961330238e-4808j | 1.2e-346, 1.44e-1847j | 
| 6.8523413040383716063e-74 - 2.5372179976676259853e-4779j | 3.4e-326, 4.1e-1827j | 
| 6.5077535685879332484e-112 + 1.0266187935153827122e-4797j | 7.57e-342, 9.12e-1843j | 
| 2.7929619574307328796e-76 + 1.7010032257215704377e-4780j | 1.92e-327, 2.32e-1828j | 
| 1.2158024097329762408e-24 - 5.3821900238356385522e-4755j | 1.79e-285, 2.15e-1786j | 
| 1.2053698916250218432e-10 - 4.6873400801853085509e-4748j | 4.15e-252, 5e-1753j | 
| 6.2770493643137022049e-16 + 1.1232668835856015073e-4750j | 6.78e-269, 8.17e-1770j | 
| 2.526465104898941662e-11 + 2.1593288492274543847e-4748j | 6.21e-255, 7.48e-1756j | 
| 4.9987783026818492029e-12 - 9.6671134577121660483e-4749j | 1.37e-257, 1.66e-1758j | 
| 1.4495032096680547934e-41 + 2.2417925807067677179e-4763j | 3.01e-308, 3.63e-1809j | 
| 2.1634056867165049355e-34 - 7.9652308472687874788e-4760j | 2.95e-301, 3.55e-1802j | 
| 4.1600233808409931322e-67 + 5.505703378222378873e-4776j | 1.59e-326, 1.92e-1827j | 
| 4.2636409164752688342e-15 - 2.9047236281976016639e-4750j | 9.08e-270, 1.09e-1770j | 
| 1.5744091858289320209e-144 + 2.955865105591064553e-4814j | 5.57e-356, 6.71e-1857j | 
| 4.1403334552648599961e-43 - 3.8613265218827376978e-4764j | 5.98e-310, 7.21e-1811j | 
| 9.4276296376153803751e-26 + 1.5158137743919445069e-4755j | 2.66e-291, 3.21e-1792j | 
| 9.1914173087815837988e-32 - 1.5948207694335691264e-4758j | 3.33e-299, 4.02e-1800j | 
| 0.00021038356013380775693 - 5.8427212718957275019e-4745j | 2.5e-230, 3.01e-1731j | 
| 7.5666493307382678485e-61 - 6.6887345166376331333e-4773j | 4.21e-324, 5.07e-1825j | 
| 4.7074982457972352952e-55 + 4.8319602063361255694e-4770j | 1.19e-320, 1.43e-1821j | 
| 4.6047468762646531204e-28 + 1.085058374257584595e-4756j | 5.99e-296, 7.22e-1797j | 
| 3.3324029280751743189e-95 - 9.73950742496418983e-4790j | 1.25e-342, 1.5e-1843j | 
| 0.0022087065342805553339 + 1.8722134642461520704e-4744j | 1.75e-225, 2.11e-1726j | 
| 0.00048677221754848644487 + 8.8537959945177040162e-4745j | 1.49e-232, 1.79e-1733j | 
| 1.6920896062135017187e-30 + 6.7497487823657150833e-4758j | 7.03e-299, 8.48e-1800j | 
| 9.3474398199681446325e-36 + 1.6813758348786231823e-4760j | 9.72e-305, 1.17e-1805j | 
| 9.2987059158013770542e-09 + 4.0466771753900366895e-4747j | 2.14e-262, 2.58e-1763j | 
| 1.0188293558515090668e-115 - 1.8768057157286325999e-4799j | 8.87e-350, 1.07e-1850j | 
| 0.073520638099676176537 - 1.0479242608474553074e-4743j | 2.49e-199, 3e-1700j | 
| 1.4147588228249135587e-86 + 1.5438810610273964369e-4785j | 8.87e-340, 1.07e-1840j | 
| 2.763025609321980998e-108 - 5.1424331383257383455e-4796j | 6.38e-348, 7.69e-1849j | 
| 2.6269931793475021034e-69 - 4.5512527289803600646e-4777j | 2.72e-331, 3.27e-1832j | 
| 1.6430549393170514834e-13 - 1.7767682880833446365e-4749j | 4.81e-281, 5.79e-1782j | 
| 2.7243010970492874577e-151 - 9.2456596743517879979e-4818j | 4.8e-364, 5.78e-1865j | 
| 2.3469977350516938133e-89 - 6.7931566607825641237e-4787j | 2.84e-341, 3.42e-1842j | 
| 1.6508696512877042365e-22 - 6.1387907405958397329e-4754j | 2.86e-298, 3.44e-1799j | 
| 1.0009451879975212132e-119 + 3.6170697871180551668e-4801j | 1.44e-351, 1.74e-1852j | 
| 2.5843752146676872955e-46 - 1.0045952025657777522e-4765j | 3.3e-320, 3.97e-1821j | 
| 1.3920169976069940406e-06 + 4.8532735385298219799e-4746j | 1.58e-269, 1.91e-1770j | 
| 1.7414798398704921809e-21 + 1.9737301013370401561e-4753j | 1.84e-298, 2.22e-1799j | 
| 4.3254894715811854701e-07 - 2.7181291308802255221e-4746j | 1.01e-271, 1.21e-1772j | 
| 5.6218824161921014829e-48 + 1.5141438790336416018e-4766j | 8.03e-322, 9.67e-1823j | 
| 1.3872016007413876096e-18 - 5.4155297407301304989e-4752j | 3.65e-296, 4.4e-1797j | 
| 1.0824306828544937736e-44 + 6.3682472830821678013e-4765j | 3.98e-319, 4.79e-1820j | 
| 1.595077626933045853e-19 + 1.8530942966569620819e-4752j | 1.64e-297, 1.98e-1798j | 
| 2.8941224455387637485e-29 - 2.7549538927813119284e-4757j | 8.21e-307, 9.9e-1808j | 
| 0.11487622173268690449 - 1.2863218675379804499e-4743j | 6.92e-238, 8.34e-1739j | 
| 3.2257608965432579955e-53 - 3.8959750904216369315e-4769j | 2.26e-326, 2.72e-1827j | 
| 1.9916912539920764455e-51 + 2.9856936366770426849e-4768j | 2.69e-325, 3.24e-1826j | 
| 1.464963757284930541e-23 + 1.8480085337198365428e-4754j | 1.23e-303, 1.48e-1804j | 
| 3.3329903177171578344e-05 - 2.3440610867922600063e-4745j | 1.9e-276, 2.28e-1777j | 
| 7.2364196173915950551e-59 + 6.3420391236596303946e-4772j | 1.46e-330, 1.76e-1831j | 
| 1.7390549654164978324e-101 - 9.0010281646425984367e-4793j | 3.18e-352, 3.84e-1853j | 
| 5.4308156200337710005e-10 + 9.8902341508307464067e-4748j | 4.27e-291, 5.14e-1792j | 
| 6.971710582678057537e-84 - 3.1970687290318144404e-4784j | 1.43e-344, 1.73e-1845j | 
| 1.4430853621499384769e-71 + 3.518746493137291957e-4778j | 6.63e-338, 7.98e-1839j | 
| 1.1329712179792176874e-17 + 1.5342227974381171936e-4751j | 2.91e-302, 3.5e-1803j | 
| 8.6067799845751416374e-05 + 3.7516470558138872804e-4745j | 1.6e-281, 1.92e-1782j | 
| 0.014052723091298888059 - 4.6707263814208366981e-4744j | 3.22e-271, 3.88e-1772j | 
| 2.3116095810686697777e-09 - 2.0288006235927379196e-4747j | 4.02e-292, 4.85e-1793j | 
| 4.239096742859003846e-06 - 8.4311871365771556103e-4746j | 2.26e-286, 2.72e-1787j | 
| 1.271636583141238801e-07 + 1.4810078355145706842e-4746j | 1.09e-289, 1.32e-1790j | 
| 0.095131717977176827184 + 1.1829291774996009052e-4743j | 3.74e-262, 4.5e-1763j | 
| 4.6542804419474249176e-40 - 1.2474549299458390847e-4762j | 1.07e-321, 1.29e-1822j | 
| 0.13218088747703491705 - 1.3247676932329187068e-4743j | 1.68e-263, 2.03e-1764j | 
| 6.1697363831774306458e-57 - 5.6872113996095498144e-4771j | 3.44e-331, 4.15e-1832j | 
| 0.0080237142585665829736 + 3.542604799471859828e-4744j | 5.02e-279, 6.05e-1780j | 
| 2.7268656622107951099e-14 + 7.2908957815115559157e-4750j | 6.13e-301, 7.38e-1802j | 
| 8.1601571866642893719e-105 + 2.2884715745127150473e-4794j | 3.32e-355, 4e-1856j | 
| 9.3320897834343005127e-13 + 4.2050132654286336048e-4749j | 1.82e-299, 2.2e-1800j | 
| 3.5361421098208514793e-08 - 7.8496659088583951596e-4747j | 4.31e-294, 5.19e-1795j | 
| 0.053248981843552900772 + 8.9718781220242616454e-4744j | 1.55e-278, 1.87e-1779j | 
| 8.6961502904556918094e-17 - 4.2149141514509720501e-4751j | 5.51e-304, 6.65e-1805j | 
| 0.023239213350957360859 + 5.9825914037258577486e-4744j | 1.48e-282, 1.79e-1783j | 
| 3.1392787374298967121e-92 + 2.7093126633891545108e-4788j | 3.94e-350, 4.75e-1851j | 
| 1.1114529120550604589e-49 - 2.1778817255475807048e-4767j | 3.22e-328, 3.88e-1829j | 
| 1.2217640601897607261e-05 + 1.4251497433699462046e-4745j | 3.29e-294, 3.97e-1795j | 
| 1.7211621557793164738e-20 - 6.144710870612113595e-4753j | 3.76e-309, 4.53e-1810j | 
| 9.6964863407159626445e-79 - 1.0567521637988300611e-4781j | 1.77e-344, 2.14e-1845j | 
| 7.0244838828260103993e-63 + 6.659143418970629495e-4774j | 5.37e-337, 6.47e-1838j | 
| 2.8428869303994355355e-81 + 6.0613520756271336202e-4783j | 8.27e-346, 9.96e-1847j | 
| 4.632570027712418188e-33 + 3.6317179783989411705e-4759j | 8.16e-322, 9.84e-1823j | 
| 3.7308877440235717544e-37 - 3.4134111581093424119e-4761j | 1e-324, 1.21e-1825j | 
| 0.064424887785033127346 + 6.4707219003043819214e-4744j | 4.85e-299, 5.84e-1800j | 
| 0.0010659347680134455392 - 1.3053551971805136326e-4744j | 6.11e-303, 7.36e-1804j | 
| 2.7564232626512054941e-98 + 3.1371685094936525055e-4791j | 4.72e-355, 5.69e-1856j | 
| 5.7638789527889084361e-65 - 6.2454222638773793758e-4775j | 1.43e-338, 1.72e-1839j | 
| 0.0043292777578424271839 - 2.6117151799085836468e-4744j | 1.25e-304, 1.51e-1805j | 
| 0.12244328280999265864 + 1.2186888887279438552e-4743j | 9.92e-303, 1.19e-1803j | 
| 0.098800870232181372729 - 9.9825595336304394208e-4744j | 6.73e-303, 8.11e-1804j | 
| 0.026740590412011574344 - 2.1888951485172414757e-4744j | 2.51e-303, 3.02e-1804j | 
| 0.036248163705723661193 - 7.4392938872054143804e-4744j | 2.23e-304, 2.69e-1805j | 
| 6.8234616382420544896e-27 - 4.1262143749867199128e-4756j | 8.55e-320, 1.03e-1820j | 
| 0.12862917854956921679 + 1.3401425252077703262e-4743j | 2.25e-305, 2.57e-1806j | 
| 1.3733577158425961093e-38 + 6.6593031282572227494e-4762j | 8.4e-326, 1.01e-1826j | 
All rules of Laguerre type can be downloaded here packed into a single file.