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) | 
|---|---|
| 312.78760882482638414 + 8.0304247124830690887e-4446j | 1.36e-2006, 1.36e-2006j | 
| 326.3435399470337614 - 1.6335385198140961958e-4447j | 4.9e-2008, 4.9e-2008j | 
| 361.43315074797807818 + 3.0924177088723537765e-4459j | 4.63e-2012, 4.63e-2012j | 
| 251.36510388771988081 + 7.8872851838903796185e-4481j | 1.36e-2000, 1.36e-2000j | 
| 269.29189980985567495 + 2.5457741768578908132e-4573j | 3.5e-2002, 3.5e-2002j | 
| 139.19987388450783991 + 1.3150236420753430459e-4671j | 1.98e-1994, 1.98e-1994j | 
| 300.60032629324678701 - 2.0536872046412026217e-4782j | 2.89e-2005, 2.89e-2005j | 
| 199.69236476573153782 - 3.235084445075227144e-4892j | 9.38e-1997, 9.38e-1997j | 
| 125.64757745512250896 - 1.0219012724267719035e-4961j | 2.14e-1994, 2.14e-1994j | 
| 193.33189427596272212 + 2.8640323232379153691e-4992j | 2.18e-1996, 2.18e-1996j | 
| 40.752887078808073338 + 2.7534173973606370097e-5028j | 7.86e-2003, 7.86e-2003j | 
| 206.26867663307587242 + 2.8528655142871163149e-5019j | 3.62e-1997, 3.62e-1997j | 
| 62.758873445401940686 - 2.3033929574964879092e-5038j | 1.99e-1998, 1.99e-1998j | 
| 105.24295890416947858 - 1.1699584015256359238e-5067j | 8.24e-1995, 8.24e-1995j | 
| 34.593967695023104741 + 6.744073509708404035e-5121j | 1.3e-2004, 1.3e-2004j | 
| 83.901703904185011687 - 1.109463212243866292e-5118j | 5.05e-1996, 5.05e-1996j | 
| 121.35773610662300564 + 8.8892104201174572659e-5167j | 2.06e-1994, 2.06e-1994j | 
| 11.242378555161742866 - 1.2168564731673036799e-5214j | 5.98e-2016, 5.98e-2016j | 
| 243.04621362027340413 - 1.1378321933334619579e-5191j | 6.86e-2000, 6.86e-2000j | 
| 15.385339663343989069 + 1.9838032569203235036e-5230j | 3.86e-2013, 3.86e-2013j | 
| 8.5380380628515092056 - 1.5302256196663012904e-5236j | 6.94e-2019, 6.94e-2019j | 
| 19.384358440113883591 - 1.4426753562259903232e-5228j | 7.21e-2011, 7.21e-2011j | 
| 279.03359226195426142 + 1.8945969383199540401e-5211j | 4.01e-2003, 4.01e-2003j | 
| 101.46052766549909285 + 4.5776437059487026456e-5268j | 6.08e-1995, 6.08e-1995j | 
| 113.09769232315819465 + 7.0461292804354461586e-5353j | 1.38e-1994, 1.38e-1994j | 
| 341.96071108117618716 + 9.2898264307673247695e-5413j | 8.52e-2010, 8.52e-2010j | 
| 74.376038826672279463 + 5.5708855030563213521e-5511j | 5.97e-1997, 5.97e-1997j | 
| 20.838287448517357786 + 1.294970860749935395e-5596j | 3.92e-2010, 3.92e-2010j | 
| 117.17554031600605242 - 3.3188673318915076935e-5670j | 1.8e-1994, 1.8e-1994j | 
| 175.41484970558461362 + 2.1155696899840666854e-5780j | 1.8e-1995, 1.8e-1995j | 
| 23.922035323041388832 + 1.0725875472608206358e-5830j | 1.15e-2008, 1.15e-2008j | 
| 2.0291519585302359508 + 8.6280112790560011074e-5852j | 2.33e-2029, 2.33e-2029j | 
| 6.8109658322634856489 - 1.9668273217999661585e-5843j | 5.03e-2021, 5.03e-2021j | 
| 49.859304252507913856 + 3.7624426671069481337e-5817j | 1.08e-2000, 1.08e-2000j | 
| 130.04861231180721652 - 2.2762658255504691906e-5828j | 2.18e-1994, 2.18e-1994j | 
| 187.17338511047389975 - 5.7629796110926884546e-5844j | 4.83e-1996, 4.83e-1996j | 
| 57.389865210772102184 + 1.0361045101275501192e-5855j | 2.7e-1999, 2.7e-1999j | 
| 7.6531185369296309784 - 6.6472903268682940923e-5876j | 5.92e-2020, 5.92e-2020j | 
| 3.3643036693633605774 + 4.3864428981238687736e-5882j | 2.29e-2026, 2.29e-2026j | 
| 71.358586117831486578 + 4.1203000178723255638e-5853j | 2.59e-1997, 2.59e-1997j | 
| 235.09179399526268812 + 1.0521618241383067542e-5852j | 3.12e-1999, 3.12e-1999j | 
| 97.771317756968340264 + 1.932292735721138774e-5849j | 3.94e-1995, 3.94e-1995j | 
| 27.240640121215172681 + 9.6386164099859368336e-5876j | 2.92e-2007, 2.92e-2007j | 
| 12.100423118258716427 + 1.2402963199683364535e-5883j | 3.31e-2015, 3.31e-2015j | 
| 289.42156849213623029 + 1.1741957183035998277e-5865j | 3.78e-2004, 3.78e-2004j | 
| 159.02796798062549584 - 1.3585596301751918748e-5862j | 7.74e-1995, 7.74e-1995j | 
| 87.240187148191647226 + 1.147034050637069254e-5876j | 8.67e-1996, 8.67e-1996j | 
| 3.943570034141870188 - 1.2637470863636139431e-5914j | 2.34e-2025, 2.34e-2025j | 
| 0.72054168961180489744 - 4.3854352264319247986e-5923j | 1.98e-2034, 1.98e-2034j | 
| 25.551860759021645366 - 1.4446322990493859995e-5896j | 6.05e-2008, 6.05e-2008j | 
| 80.645996681866508896 + 3.2732242278464393379e-5883j | 2.56e-1996, 2.56e-1996j | 
| 148.8460590547235482 - 1.1333064912910431852e-5902j | 1.43e-1994, 1.43e-1994j | 
| 13.078978400892569307 + 2.068651871961265052e-5952j | 1.41e-2014, 1.41e-2014j | 
| 30.79665991536927523 + 9.9858508814333635871e-5944j | 6.51e-2006, 6.51e-2006j | 
| 77.471323569908931526 - 1.5077566417083322251e-5932j | 1.26e-1996, 1.26e-1996j | 
| 54.811025308002581866 - 2.2454989848513925713e-5946j | 9.64e-2000, 9.64e-2000j | 
| 164.33469757092855341 - 1.2914056754267826158e-5964j | 4.95e-1995, 4.95e-1995j | 
| 17.989651202219182102 + 2.9643300688925741332e-6005j | 1.3e-2011, 1.3e-2011j | 
| 65.551362368227761253 + 3.3347744460634049242e-5988j | 4.99e-1998, 4.99e-1998j | 
| 16.655564014113022615 - 1.6989255482626045903e-6013j | 2.38e-2012, 2.38e-2012j | 
| 60.038771199845424063 + 3.3429918152465655407e-5995j | 7.43e-1999, 7.43e-1999j | 
| 153.8672097820727562 + 4.388990601085234023e-6002j | 1.13e-1994, 1.13e-1994j | 
| 38.637293728781406221 + 8.0257480459025844512e-6044j | 2.04e-2003, 2.04e-2003j | 
| 10.372173828604927161 + 3.029522636175928037e-6057j | 8.18e-2017, 8.18e-2017j | 
| 213.07674303209566213 - 2.961819460402947344e-6034j | 1.32e-1997, 1.32e-1997j | 
| 6.0165843328122930598 - 5.9267399770401757474e-6098j | 3.97e-2022, 3.97e-2022j | 
| 260.09430260443812923 + 9.1509194008345798966e-6070j | 2.22e-2001, 2.22e-2001j | 
| 143.95871548547459722 + 7.3486009572855083506e-6100j | 1.69e-1994, 1.69e-1994j | 
| 47.484435044588886262 + 3.76373598323345518e-6134j | 3.33e-2001, 3.33e-2001j | 
| 2.8500082985710811872 - 4.833957479936189296e-6158j | 2.35e-2027, 2.35e-2027j | 
| 90.66329198251587691 - 5.6352589967243986199e-6125j | 1.48e-1995, 1.48e-1995j | 
| 32.664874713338389273 + 3.2644615158878507683e-6168j | 2.92e-2005, 2.92e-2005j | 
| 94.172975940399810624 + 3.8933122324065649981e-6157j | 2.46e-1995, 2.46e-1995j | 
| 45.175650626854608721 + 5.1120692098127904399e-6185j | 1.05e-2001, 1.05e-2001j | 
| 52.301178169454186446 + 6.1659486219002690261e-6181j | 3.44e-2000, 3.44e-2000j | 
| 0.48607430154373275614 - 8.9770116114581459648e-6246j | 8.97e-2036, 8.97e-2036j | 
| 134.56466622984188275 + 3.0088768015296673562e-6203j | 2.27e-1994, 2.27e-1994j | 
| 169.79440756053063868 - 2.0583873244586636201e-6259j | 3.06e-1995, 3.06e-1995j | 
| 1 - 7.9212234888452709904e-6351j | 5.09e-2033, 5.09e-2033j | 
| 109.12112061172963588 - 2.7399038872047227575e-6311j | 1.09e-1994, 1.09e-1994j | 
| 2.4093220781590034434 + 5.6240165141955054112e-6391j | 2.4e-2028, 2.4e-2028j | 
| 0.2983890287571896389 + 1.3531920400404713557e-6399j | 3.53e-2037, 3.53e-2037j | 
| 181.20463651665496161 + 1.4838172403213124262e-6355j | 9.72e-1996, 9.72e-1996j | 
| 220.13496830666209163 - 2.5056015641832841217e-6389j | 4.27e-1998, 4.27e-1998j | 
| 42.932077555457715245 - 8.2392720484994623035e-6412j | 2.96e-2002, 2.96e-2002j | 
| 22.350886120678068144 - 1.0758170702320499369e-6418j | 2.27e-2009, 2.27e-2009j | 
| 0.15769548012154955374 + 2.627702991571606088e-6448j | 1.1e-2038, 1.1e-2038j | 
| 14.186717958967331583 - 9.6714064364585841083e-6424j | 7.09e-2014, 7.09e-2014j | 
| 36.58455435248299568 - 2.6973533638308879035e-6413j | 5.03e-2004, 5.03e-2004j | 
| 68.417492398206304483 - 2.7579461810159679245e-6404j | 1.19e-1997, 1.19e-1997j | 
| 5.2725893377941609536 - 6.9909211111761056808e-6453j | 3.73e-2023, 3.73e-2023j | 
| 4.5808680048052555321 - 1.121222424329036791e-6453j | 2.81e-2024, 2.81e-2024j | 
| 1.3196727767528734649 + 3.6891111645401554597e-6461j | 1.06e-2031, 1.06e-2031j | 
| 28.988754213188026555 + 1.1151027309537237755e-6435j | 1.39e-2006, 1.39e-2006j | 
| 227.46485113691907358 + 1.7967412607869213637e-6425j | 1.16e-1998, 1.16e-1998j | 
| 0.011766478939192796231 - 3.839698831394833465e-6544j | 1.11e-2041, 1.11e-2041j | 
| 9.4541090677917513653 - 4.6810409182747144204e-6468j | 7.91e-2018, 7.91e-2018j | 
| 1.6684082262715893872 - 1.1882233238041126183e-6480j | 1.73e-2030, 1.73e-2030j | 
| 0.062922763040702294575 + 4.2265685562554065206e-6490j | 3.42e-2040, 3.42e-2040j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.8410578060387226142e-135 - 7.4889066783062707445e-4581j | 1.19e-359, 1.28e-1860j | 
| 2.6910046798780855377e-141 - 1.2088323137615157369e-4584j | 1.36e-361, 1.46e-1862j | 
| 2.4609487584700045849e-156 - 8.2725893133582564955e-4593j | 1.26e-366, 1.35e-1867j | 
| 5.8040845244526172258e-109 - 6.6904779992356582804e-4569j | 2.72e-352, 2.92e-1853j | 
| 1.0560501616669797667e-116 - 1.1062744026208373472e-4572j | 6.62e-355, 7.1e-1856j | 
| 1.6520144153913615032e-60 - 1.3634273212118604707e-4544j | 4.95e-331, 5.31e-1832j | 
| 3.2871753870072555387e-130 + 5.5601618126496934184e-4579j | 5.07e-359, 5.43e-1860j | 
| 1.2171338634028354891e-86 + 8.4595073438716447626e-4558j | 5.36e-345, 5.74e-1846j | 
| 1.1746884471574720182e-54 + 1.3237939738377384661e-4541j | 8.59e-329, 9.21e-1830j | 
| 6.8141858797007436668e-84 - 2.0265308066359708323e-4556j | 3.91e-344, 4.2e-1845j | 
| 4.296665797180417832e-18 - 2.1656624968321628804e-4522j | 1.61e-289, 1.73e-1790j | 
| 1.7540244905147555637e-89 - 3.1884802316548437156e-4559j | 1.68e-346, 1.8e-1847j | 
| 1.5291894010893464864e-27 + 1.6194567474229918421e-4527j | 5.38e-306, 5.77e-1807j | 
| 7.5291700945226732135e-46 - 4.4067426883907354135e-4537j | 3.02e-324, 3.24e-1825j | 
| 1.8545038915091496468e-15 + 6.621049686874761715e-4521j | 9.1e-286, 9.76e-1787j | 
| 1.2023893412360061527e-36 - 2.6059828285092986816e-4532j | 6.31e-317, 6.77e-1818j | 
| 8.3541895282430820244e-53 - 1.1747226502133759846e-4540j | 8.77e-329, 9.41e-1830j | 
| 1.1034503885400294097e-05 + 2.8490763779372644945e-4514j | 5.4e-250, 5.79e-1751j | 
| 2.2722322949905716409e-105 + 3.9510938831463390916e-4567j | 1.47e-354, 1.58e-1855j | 
| 2.5725605732332776617e-07 + 9.97377771657659061e-4516j | 2.17e-261, 2.33e-1762j | 
| 0.00017694633571416260509 - 6.6808211741517393113e-4514j | 3.82e-242, 4.09e-1743j | 
| 5.4341381274096489667e-09 - 5.8214964770640085309e-4517j | 2.03e-269, 2.17e-1770j | 
| 6.5947644473359543731e-121 + 1.0473358377184410025e-4574j | 3.94e-360, 4.22e-1861j | 
| 3.2254599881761023797e-44 + 3.0639860559851373902e-4536j | 4.37e-324, 4.68e-1825j | 
| 3.07076990136977258e-49 - 7.9312902805544308157e-4539j | 1.25e-327, 1.34e-1828j | 
| 5.2522138722537794028e-148 + 2.2562175145447972412e-4588j | 2.72e-371, 2.92e-1872j | 
| 1.5278005195142477097e-32 + 3.6745256674706414022e-4530j | 9.36e-317, 1e-1817j | 
| 1.32214474670617801e-09 + 2.2581371483905797294e-4517j | 7.36e-278, 7.89e-1779j | 
| 5.3358798466365027963e-51 + 9.8978867834586436033e-4540j | 9.58e-329, 1.03e-1829j | 
| 3.7535986766855371093e-76 + 1.6007519440676247641e-4552j | 2.03e-345, 2.17e-1846j | 
| 6.5318258626327537861e-11 + 3.2926298822312802849e-4518j | 1.45e-284, 1.56e-1785j | 
| 0.047940663781751301888 - 3.3321232066683272548e-4512j | 1.84e-216, 1.97e-1717j | 
| 0.00090204000990987863675 - 1.3538346898183773744e-4513j | 8.03e-250, 8.61e-1751j | 
| 5.3465596557006480178e-22 - 1.5442565307690955886e-4524j | 4.36e-307, 4.67e-1808j | 
| 1.4782023147812831602e-56 - 1.4139891462878703046e-4542j | 1.62e-333, 1.74e-1834j | 
| 3.1205244515286264434e-81 + 4.4106173297241918478e-4555j | 3.39e-347, 3.64e-1848j | 
| 3.1128070629784359058e-25 + 2.7712192936693926503e-4526j | 6.31e-312, 6.76e-1813j | 
| 0.00041035692536686836778 + 9.3455770676405225744e-4514j | 5.11e-258, 5.48e-1759j | 
| 0.018964007281340006417 + 1.1923718524960418428e-4512j | 6.22e-239, 6.67e-1740j | 
| 3.0439346556444148956e-31 - 1.7752625779711060482e-4529j | 1.45e-317, 1.55e-1818j | 
| 6.1972173875288890741e-102 - 1.9835194939845638638e-4565j | 8.62e-357, 9.24e-1858j | 
| 1.2588169566975182696e-42 - 2.0372786704035709338e-4535j | 3.52e-326, 3.78e-1827j | 
| 2.5389758853562953796e-12 + 4.5119952592248364936e-4519j | 1.15e-294, 1.24e-1795j | 
| 5.023978506334146082e-06 - 1.6249681804100326188e-4514j | 3.74e-274, 4.01e-1775j | 
| 2.1747224585998436825e-125 - 8.0611646666358118089e-4577j | 1.58e-365, 1.69e-1866j | 
| 4.5055858307121602546e-69 - 6.0796822273919848836e-4549j | 2.19e-343, 2.35e-1844j | 
| 4.3756860955502395585e-38 + 4.6337603039829749471e-4533j | 3.11e-324, 3.34e-1825j | 
| 0.011803478550308166986 - 7.4106988029216183161e-4513j | 1.14e-255, 1.22e-1756j | 
| 0.12523948218007011991 - 1.9161341624744749516e-4512j | 1.2e-242, 1.29e-1743j | 
| 1.3270238963233345582e-11 - 1.2298115321326746736e-4518j | 1.52e-295, 1.62e-1796j | 
| 3.0412856747022833471e-35 + 1.4090661467511799898e-4531j | 1.92e-322, 2.06e-1823j | 
| 1.1268720748545080652e-64 - 1.0357710532239176277e-4546j | 9.97e-342, 1.07e-1842j | 
| 2.1942751225417302512e-06 + 6.9301413321146166674e-4515j | 3.65e-283, 3.91e-1784j | 
| 7.7538756701765636473e-14 + 5.7165219646688159011e-4520j | 2.14e-302, 2.29e-1803j | 
| 7.0929901398081982903e-34 - 7.3318490628459692478e-4531j | 9.98e-322, 1.07e-1822j | 
| 3.9941112198301188733e-24 - 1.0920341497532067869e-4525j | 7.47e-316, 8e-1817j | 
| 2.2976867056232850452e-71 + 4.1987942723767372382e-4550j | 6.25e-346, 6.7e-1847j | 
| 2.1001100890597617056e-08 + 1.4940673935334726092e-4516j | 2.21e-293, 2.37e-1794j | 
| 9.6172864901083283725e-29 - 3.7240035102913362968e-4528j | 1.5e-319, 1.6e-1820j | 
| 7.6120886859884467331e-08 - 3.8415596759088673713e-4516j | 9.31e-293, 9.98e-1794j | 
| 2.2611312650505069638e-26 - 6.8100681256803176603e-4527j | 1.02e-317, 1.1e-1818j | 
| 7.6389345065934423019e-67 + 8.2065255636086906445e-4548j | 9.21e-344, 9.87e-1845j | 
| 3.4589464493870237184e-17 + 6.950672880166700862e-4522j | 1.05e-311, 1.12e-1812j | 
| 2.82218969084990557e-05 - 3.912106831467215784e-4514j | 6.42e-289, 6.88e-1790j | 
| 2.0075654467071281131e-92 + 1.0775229444526892966e-4560j | 1.78e-357, 1.91e-1858j | 
| 0.0018760933315031133064 + 2.0105784468603674044e-4513j | 7.3e-285, 7.82e-1786j | 
| 9.872395097571104732e-113 + 9.4821672518361233982e-4571j | 6.61e-366, 7.09e-1867j | 
| 1.454700733365816269e-62 + 1.2257127340675472001e-4545j | 7.76e-342, 8.32e-1843j | 
| 5.5885475969898226899e-21 + 5.5493346675489121476e-4524j | 7.1e-318, 7.61e-1819j | 
| 0.027676269265432939809 - 1.9170798282147146309e-4512j | 2.98e-282, 3.19e-1783j | 
| 1.4630812757889139708e-39 - 7.9140363196561648523e-4534j | 1.69e-329, 1.81e-1830j | 
| 1.236654419437598005e-14 - 1.9685811480813902785e-4520j | 1.31e-312, 1.4e-1813j | 
| 4.4861270571729031986e-41 + 1.2969544571972680747e-4534j | 1.62e-330, 1.74e-1831j | 
| 5.4656714792927181445e-20 - 1.9365101915359717143e-4523j | 3.15e-318, 3.38e-1819j | 
| 4.7817190274547627221e-23 + 4.1701507537169357293e-4525j | 7.59e-320, 8.14e-1821j | 
| 0.1299086250176643169 + 1.5925299850277941659e-4512j | 4.72e-289, 5.06e-1790j | 
| 1.6584063391228923469e-58 + 1.4289131418878495227e-4543j | 2.85e-341, 3.06e-1842j | 
| 1.0060855008360264637e-73 - 2.6944016933780842785e-4551j | 2.75e-350, 2.95e-1851j | 
| 0.11063715073577415396 + 2.2720372912961836467e-4512j | 8.97e-293, 9.61e-1794j | 
| 1.597165311486495157e-47 + 6.0533625046503508128e-4538j | 6.3e-336, 6.75e-1837j | 
| 0.036350464668358902567 + 2.8146343098609184294e-4512j | 2.6e-298, 2.79e-1799j | 
| 0.12177754493130291107 - 1.2636838067350518284e-4512j | 6.46e-295, 6.93e-1796j | 
| 1.1831077280778929718e-78 - 8.7695375268154861849e-4554j | 3.74e-353, 4.01e-1854j | 
| 1.7919981597924083165e-95 - 3.2390290274890650285e-4562j | 1.22e-362, 1.31e-1863j | 
| 5.0057935670415470509e-19 + 6.5669597990140058978e-4523j | 2.92e-322, 3.14e-1823j | 
| 3.028175454962540592e-10 - 8.6784620251049642616e-4518j | 1.75e-316, 1.87e-1817j | 
| 0.10031160074073587812 + 9.0561254805539395015e-4513j | 1.05e-303, 1.13e-1804j | 
| 7.9886740388135263307e-07 - 2.6306609770848304445e-4515j | 3.03e-313, 3.25e-1814j | 
| 2.6134508117862674968e-16 - 2.1727849326885639916e-4521j | 4.44e-321, 4.76e-1822j | 
| 5.6177873516975115035e-30 + 8.2746868505728418492e-4529j | 1.02e-328, 1.1e-1829j | 
| 0.0036843997377297203807 - 3.0456785832507727724e-4513j | 8.79e-312, 9.44e-1813j | 
| 0.0068129671463884931552 + 4.7018344781922852558e-4513j | 1.94e-311, 2.08e-1812j | 
| 0.090005650018464828353 - 2.7002462129558048764e-4512j | 3.97e-310, 4.26e-1811j | 
| 4.5736007976584078896e-13 - 1.6231206533797014239e-4519j | 1.39e-319, 1.49e-1820j | 
| 1.2212710289190120884e-98 + 8.5821614256150796222e-4564j | 3.82e-365, 4.09e-1866j | 
| 0.029960769104481324861 + 1.608771702349578299e-4513j | 1.51e-312, 1.6e-1813j | 
| 7.2430393894856718124e-05 + 5.0110034699229767267e-4514j | 5.44e-314, 5.88e-1815j | 
| 0.067367304033119663152 + 3.165592185778625836e-4512j | 5.87e-312, 6.4e-1813j | 
| 0.06807412077003934869 - 5.1950600890821065048e-4513j | 2.59e-312, 2.71e-1813j | 
All rules of Laguerre type can be downloaded here packed into a single file.