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) | 
|---|---|
| 304.16166197545027484 + 1.6560651693651298912e-4235j | 4.87e-2005, 4.87e-2005j | 
| 330.00945635683159817 + 5.6386034395120895384e-4242j | 8.1e-2008, 8.1e-2008j | 
| 282.50176747345143339 - 1.5576910050182403738e-4230j | 7.19e-2003, 7.19e-2003j | 
| 345.68694144558996683 + 2.239006528651961166e-4246j | 1.34e-2009, 1.34e-2009j | 
| 246.34565179824201047 - 1.822501164847248179e-4233j | 1.42e-1999, 1.42e-1999j | 
| 292.93529221588803676 - 4.8854999278780000653e-4245j | 6.56e-2004, 6.56e-2004j | 
| 184.16290692402447368 - 1.9139242961095157406e-4266j | 2.18e-1995, 2.18e-1995j | 
| 172.68037273537213735 + 3.1527229757965589626e-4309j | 7.19e-1995, 7.19e-1995j | 
| 19.01981330844852427 + 1.0896791271737455691e-4358j | 1.19e-2011, 1.19e-2011j | 
| 137.20178782256188625 - 1.5891551745422111131e-4340j | 4.81e-1994, 4.81e-1994j | 
| 316.39929738056069076 + 3.0548543462448044639e-4371j | 2.54e-2006, 2.54e-2006j | 
| 272.71614518858596072 + 3.1400291730779367801e-4362j | 6.37e-2002, 6.37e-2002j | 
| 230.68520186915957325 + 1.120097333965830627e-4358j | 2.57e-1998, 2.57e-1998j | 
| 115.5586619905790327 + 3.5580511414581464928e-4385j | 3.17e-1994, 3.17e-1994j | 
| 17.629313808024767392 - 3.5000701081396707032e-4441j | 1.69e-2012, 1.69e-2012j | 
| 132.65047393889643331 + 1.3496540880173015125e-4420j | 5.06e-1994, 5.06e-1994j | 
| 254.70518227028460019 - 9.3444735217051109747e-4439j | 2.67e-2000, 2.67e-2000j | 
| 79.577278490126893706 - 3.4019718249593673445e-4454j | 3.07e-1996, 3.07e-1996j | 
| 82.787823200105780963 - 2.4532739873024628811e-4513j | 6.4e-1996, 6.4e-1996j | 
| 202.76084799282171171 + 1.0926005361559023029e-4585j | 2.05e-1996, 2.05e-1996j | 
| 61.926721383005045287 - 1.0691091895898419481e-4624j | 1.97e-1998, 1.97e-1998j | 
| 64.683537299504825404 - 1.0751851667494581099e-4679j | 5.22e-1998, 5.22e-1998j | 
| 146.66649358415139936 + 6.7736734971903292195e-4760j | 3.64e-1994, 3.64e-1994j | 
| 10.432617067233845083 - 7.0810716047378336728e-4831j | 5.39e-2018, 5.39e-2018j | 
| 67.512574422136423398 + 2.1374626528985416544e-4805j | 1.42e-1997, 1.42e-1997j | 
| 151.58926343092803191 + 2.8779031850537252375e-4826j | 2.95e-1994, 2.95e-1994j | 
| 6.7023225364364983854 + 1.2878408609201671227e-4878j | 4.76e-2022, 4.76e-2022j | 
| 111.54684504641911439 - 6.3785024565075882348e-4849j | 2.56e-1994, 2.56e-1994j | 
| 25.14244576104259006 - 9.5949294494221862994e-4882j | 1.85e-2008, 1.85e-2008j | 
| 59.240925167983557718 + 1.5694383150871477446e-4872j | 7.5e-1999, 7.5e-1999j | 
| 16.294020288229451423 - 3.0564244569300269664e-4888j | 2.43e-2013, 2.43e-2013j | 
| 28.546777207335675392 + 7.2144225053958184954e-4881j | 5.36e-2007, 5.36e-2007j | 
| 96.457310718842868673 - 1.6059141922806863697e-4866j | 5.87e-1995, 5.87e-1995j | 
| 11.497366812514774963 - 1.9682062905635066416e-4924j | 4.98e-2017, 4.98e-2017j | 
| 365.23160143933865217 - 8.2912092334973925338e-4904j | 7.41e-2012, 7.41e-2012j | 
| 100.09108115006668975 - 7.0515122439678903361e-4900j | 8.96e-1995, 8.96e-1995j | 
| 8.4622654708577810429 + 9.3097204816912419884e-4956j | 5.77e-2020, 5.77e-2020j | 
| 9.4210101996911566033 - 2.79161775762854965e-4954j | 5.5e-2019, 5.5e-2019j | 
| 56.625006711125518567 + 3.6508602283580334142e-4929j | 2.59e-1999, 2.59e-1999j | 
| 263.47592530438786213 + 8.4163833067930142469e-4950j | 4.42e-2001, 4.42e-2001j | 
| 20.465931218056632317 - 1.1626740776731695102e-5032j | 7.86e-2011, 7.86e-2011j | 
| 107.63340732225549376 + 6.1403126900619022625e-5014j | 1.89e-1994, 1.89e-1994j | 
| 13.78750415427399852 - 1.925979785328301238e-5091j | 3.67e-2015, 3.67e-2015j | 
| 5.9006446652936692175 + 1.8060113995491072618e-5099j | 4.33e-2023, 4.33e-2023j | 
| 70.415097715636635065 - 1.8608629859769024095e-5069j | 3.13e-1997, 3.13e-1997j | 
| 40.185214248776900871 - 1.4132825767069065388e-5099j | 4.65e-2003, 4.65e-2003j | 
| 49.185918834559683274 + 5.827034662911028246e-5135j | 8.48e-2001, 8.48e-2001j | 
| 12.61555732903015262 + 6.2614503911856631119e-5206j | 4.28e-2016, 4.28e-2016j | 
| 3.8062330636551989675 + 7.7856712823303306138e-5221j | 2.05e-2026, 2.05e-2026j | 
| 178.33687056626805356 - 1.1909344759036489204e-5263j | 3.91e-1995, 3.91e-1995j | 
| 238.35135949343027831 - 1.7227700956054241136e-5391j | 6.47e-1999, 6.47e-1999j | 
| 46.839164047214844229 + 1.7425193734969375293e-5436j | 2.5e-2001, 2.5e-2001j | 
| 44.557355278051926065 + 2.843552366711226154e-5443j | 6.97e-2002, 6.97e-2002j | 
| 7.556118839581166108 + 5.6241832429613008173e-5486j | 5.12e-2021, 5.12e-2021j | 
| 34.094091185089015851 - 9.7824995686627967127e-5459j | 6.3e-2005, 6.3e-2005j | 
| 15.013540994646941408 + 1.8653745277586357898e-5509j | 3.24e-2014, 3.24e-2014j | 
| 51.598511952044199769 + 3.3043043507220858672e-5490j | 2.66e-2000, 2.66e-2000j | 
| 190.16812728207875376 - 3.6519143299570235391e-5585j | 1.11e-1995, 1.11e-1995j | 
| 36.063158558536583728 + 3.904664279644572846e-5656j | 2.75e-2004, 2.75e-2004j | 
| 1 - 4.0622635642792619192e-5727j | 1.32e-2033, 1.32e-2033j | 
| 167.18477539138516324 - 3.2763870986107103676e-5686j | 1.09e-1994, 1.09e-1994j | 
| 128.21420634160523358 + 5.0790030815137018324e-5810j | 4.71e-1994, 4.71e-1994j | 
| 216.22029424489050275 - 1.9518908750013170662e-5937j | 2.66e-1997, 2.66e-1997j | 
| 42.339642193131582258 - 3.5888192891846469925e-5993j | 1.97e-2002, 1.97e-2002j | 
| 4.4527937773563234616 + 1.3230950228306041655e-6035j | 2.67e-2025, 2.67e-2025j | 
| 23.526779856029458377 - 3.1346093930184975765e-6016j | 3.03e-2009, 3.03e-2009j | 
| 30.336524860017510725 - 3.99442771388251158e-6004j | 2.74e-2006, 2.74e-2006j | 
| 196.36336214327270046 - 7.5374137149696506948e-6006j | 5.07e-1996, 5.07e-1996j | 
| 73.392439864576376467 - 1.0176110358022420394e-6032j | 6.91e-1997, 6.91e-1997j | 
| 21.968101381755663668 - 2.297907967457725784e-6062j | 4.76e-2010, 4.76e-2010j | 
| 0.47042861055507751468 - 7.0373767407744485403e-6088j | 3.33e-2036, 3.33e-2036j | 
| 3.2110147118153108215 - 8.825360983644925178e-6080j | 1.52e-2027, 1.52e-2027j | 
| 156.64592740956479408 - 2.0431255269001974079e-6045j | 2.33e-1994, 2.33e-1994j | 
| 89.453445066884244859 - 1.8409159355029695196e-6056j | 2.08e-1995, 2.08e-1995j | 
| 76.446005935679261183 - 4.4211657434192101269e-6057j | 1.67e-1996, 1.67e-1996j | 
| 1.3406100702985884862 - 2.277620296427802155e-6093j | 2.39e-2032, 2.39e-2032j | 
| 26.815602193847971227 - 1.0255657532836365373e-6068j | 1.01e-2007, 1.01e-2007j | 
| 223.31667248776774919 + 1.1535966971361347272e-6054j | 9.25e-1998, 9.25e-1998j | 
| 209.37450547119042231 + 8.1026492936970474773e-6062j | 7.85e-1997, 7.85e-1997j | 
| 0.05244659870627171475 + 1.9175825053283777701e-6121j | 1.53e-2040, 1.53e-2040j | 
| 5.1508688293527194764 + 2.6449191171389987024e-6103j | 3.24e-2024, 3.24e-2024j | 
| 0.70997305303091655193 - 1.3285655837420857898e-6115j | 6.91e-2035, 6.91e-2035j | 
| 103.81565904627086576 + 2.7992173674610004661e-6072j | 1.34e-1994, 1.34e-1994j | 
| 119.67173503409041412 + 1.3901506877628277173e-6104j | 3.88e-1994, 3.88e-1994j | 
| 141.87229617674424397 + 3.6626882402534710377e-6154j | 4.32e-1994, 4.32e-1994j | 
| 38.093298666796081996 + 5.6191919444662529997e-6202j | 1.15e-2003, 1.15e-2003j | 
| 2.6669808634078220093 + 1.3949912468899177183e-6226j | 1.08e-2028, 1.08e-2028j | 
| 2.1739873766611376176 - 5.8828637752100512173e-6228j | 7.58e-2030, 7.58e-2030j | 
| 1.7319033018655448335 + 5.5249195950936501722e-6229j | 4.3e-2031, 4.3e-2031j | 
| 161.84230364682721811 - 6.2281728636289394499e-6192j | 1.69e-1994, 1.69e-1994j | 
| 0.14216876746056730674 + 1.1304850392946256464e-6255j | 5.59e-2039, 5.59e-2039j | 
| 32.185426342252523029 + 1.5874828717980878959e-6222j | 1.35e-2005, 1.35e-2005j | 
| 0.0087549004233432867146 - 3.8670425727233643605e-6258j | 7.37e-2042, 7.37e-2042j | 
| 54.077880056190419268 + 5.1149398426095234348e-6216j | 8.41e-2000, 8.41e-2000j | 
| 86.079295031855494973 + 5.3163509046789688913e-6210j | 1.18e-1995, 1.18e-1995j | 
| 123.88914672260519586 + 9.4787537962595622365e-6212j | 4.64e-1994, 4.64e-1994j | 
| 92.912128044112657673 + 2.2544446327932092696e-6221j | 3.53e-1995, 3.53e-1995j | 
| 0.28124083162006523777 + 4.4006294553733545011e-6273j | 1.24e-2037, 1.24e-2037j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.3750424004707077977e-132 - 8.860567415105497231e-4354j | 5.31e-350, 3.84e-1852j | 
| 6.9108661258022361944e-143 - 1.6624481772261468552e-4359j | 8.85e-354, 6.41e-1856j | 
| 2.0649869822879635176e-122 - 6.6477956885787669822e-4349j | 1.14e-347, 8.25e-1850j | 
| 1.2697104494426445289e-149 + 6.0012520285332105013e-4363j | 1.96e-356, 1.42e-1858j | 
| 8.4269233243725688119e-107 + 7.6790405535672899294e-4340j | 1.12e-343, 8.15e-1846j | 
| 6.5055855198806094253e-127 + 2.8965862027939714949e-4351j | 5.23e-349, 3.79e-1851j | 
| 6.17933624157572935e-80 - 6.6880239849326726979e-4328j | 5.25e-334, 3.81e-1836j | 
| 5.6505049046543773608e-75 - 1.7071645469772665613e-4325j | 8.33e-332, 6.03e-1834j | 
| 7.7902108875784076576e-09 + 6.4909352131965076345e-4293j | 2.57e-250, 1.86e-1752j | 
| 1.196023388991218569e-59 + 5.3009719586442681221e-4318j | 2.46e-324, 1.78e-1826j | 
| 4.9922244456235832669e-137 + 1.6874724678656726716e-4356j | 2.73e-353, 1.98e-1855j | 
| 3.4556909286717434676e-118 + 1.1793385814104064938e-4346j | 9.79e-348, 7.09e-1850j | 
| 4.9032841752266026485e-100 + 2.3656012238116011795e-4337j | 4.3e-343, 3.12e-1845j | 
| 2.6439012561104540178e-50 - 2.0798598897770517491e-4313j | 3.95e-321, 2.86e-1823j | 
| 3.0069612065287247904e-08 - 1.2674194432630634096e-4292j | 1.7e-255, 1.23e-1757j | 
| 1.1045357470561031867e-57 - 4.8902515693085881385e-4317j | 5.62e-325, 4.07e-1827j | 
| 2.066548031742310831e-110 + 2.8770164861036777909e-4342j | 4.44e-346, 3.22e-1848j | 
| 8.7332132376536936616e-35 - 9.3739638694188375556e-4306j | 2.95e-310, 2.14e-1812j | 
| 3.6114815696656845878e-36 + 1.9436790746551980471e-4306j | 1.56e-311, 1.13e-1813j | 
| 5.6911845307324675075e-88 + 9.1572671595766772313e-4332j | 1.91e-340, 1.38e-1842j | 
| 3.4698672782513032706e-27 - 5.3428980015113349804e-4302j | 1.16e-303, 8.39e-1806j | 
| 2.2611233228401640363e-28 + 1.3846127385971392397e-4302j | 5.58e-305, 4.04e-1807j | 
| 9.7718329495886694136e-64 + 5.2465245725160691837e-4320j | 1.21e-330, 8.76e-1833j | 
| 3.0579033901006493043e-05 - 3.9160765350271506829e-4291j | 2.13e-251, 1.55e-1753j | 
| 1.3704764104243243858e-29 - 3.4627635365180232434e-4303j | 5.82e-307, 4.21e-1809j | 
| 7.3049064650540587811e-66 - 4.7718668440046803068e-4321j | 5.69e-332, 4.12e-1834j | 
| 0.0010164619501172646529 - 2.2208241269322115812e-4290j | 4.17e-241, 3.02e-1743j | 
| 1.4247975945926136033e-48 + 1.4813732047570297619e-4312j | 5.29e-323, 3.83e-1825j | 
| 1.9804426768720048904e-11 + 3.3640087800689247557e-4294j | 1.81e-281, 1.31e-1783j | 
| 4.9584855628013958528e-26 + 1.9907228921334670674e-4301j | 1.04e-304, 7.51e-1807j | 
| 1.0968463787471838297e-07 + 2.4064122933054731914e-4292j | 1.14e-268, 8.29e-1771j | 
| 7.0452327313259027892e-13 + 6.4445304355642437529e-4295j | 9.56e-286, 6.93e-1788j | 
| 4.6143437523400821137e-42 + 2.3974620415276837899e-4309j | 7.23e-320, 5.24e-1822j | 
| 1.1085328264752099555e-05 + 2.3688503110583897163e-4291j | 7.38e-262, 5.34e-1764j | 
| 5.5338761402320933594e-158 - 3.3105774592176016529e-4367j | 3.91e-371, 2.83e-1873j | 
| 1.2493987960131658291e-43 - 4.0430417093991427693e-4310j | 5.02e-321, 3.64e-1823j | 
| 0.00019701009651890409582 - 9.8542101476381512425e-4291j | 2.69e-256, 1.95e-1758j | 
| 7.9799649501999707317e-05 + 6.2981429442932369494e-4291j | 1.22e-258, 8.86e-1761j | 
| 6.6056913640261329151e-25 - 7.1657286866976902468e-4301j | 4.53e-306, 3.28e-1808j | 
| 3.3716120401772619901e-114 - 1.79330177795404146e-4344j | 5e-354, 3.62e-1856j | 
| 1.9066768113234146837e-09 - 3.231972827750319742e-4293j | 2.06e-280, 1.5e-1782j | 
| 6.9594119647359513948e-47 - 1.0061048824668449679e-4311j | 2.34e-323, 1.7e-1825j | 
| 1.232987139789633356e-06 + 7.979860924670984201e-4292j | 1.94e-271, 1.41e-1773j | 
| 0.0021235961474814540626 + 3.1982951954912986282e-4290j | 5.58e-254, 4.04e-1756j | 
| 7.7164106497514245425e-31 + 8.3522865969134030089e-4304j | 1.33e-311, 9.66e-1814j | 
| 7.4944989900222469781e-18 + 2.2209220462332237973e-4297j | 6.28e-301, 4.55e-1803j | 
| 1.0358968631772596605e-21 + 2.7304733113172504667e-4299j | 3.61e-305, 2.62e-1807j | 
| 3.8014045016415542817e-06 - 1.3939905517474938155e-4291j | 9.39e-272, 6.81e-1774j | 
| 0.013802860674898024482 - 8.0719380840972081405e-4290j | 1.56e-251, 1.13e-1753j | 
| 2.0331717979234602498e-77 + 1.1092202016814718787e-4326j | 4.47e-342, 3.24e-1844j | 
| 2.3921305620672468764e-103 - 1.0235637310093756887e-4338j | 4.45e-352, 3.23e-1854j | 
| 1.0529276119180168822e-20 - 8.6026706809304156594e-4299j | 6.35e-305, 4.6e-1807j | 
| 1.0025271413564416563e-19 + 2.624435009922231372e-4298j | 2.77e-304, 2e-1806j | 
| 0.00046011686517490359893 + 1.4999113137117412488e-4290j | 2.12e-268, 1.53e-1770j | 
| 3.0244591359708855132e-15 - 4.3332172839624822755e-4296j | 4.4e-300, 3.19e-1802j | 
| 3.7820006061880435845e-07 - 4.4433672883041163448e-4292j | 7.33e-281, 5.31e-1783j | 
| 9.5384014679280225256e-23 - 8.3882426758736125343e-4300j | 3.58e-307, 2.6e-1809j | 
| 1.571236063881073633e-82 + 3.7329823108732861861e-4329j | 1.78e-346, 1.29e-1848j | 
| 4.3539991505816338436e-16 + 1.6595460217654687139e-4296j | 3.53e-302, 2.56e-1804j | 
| 0.1159931974420691973 - 2.2874514902872305761e-4289j | 1.45e-267, 1.05e-1769j | 
| 1.3378206899808280161e-72 + 2.4444534167295333089e-4324j | 2.8e-342, 2.03e-1844j | 
| 9.0940337140997631666e-56 + 4.2706542019491033225e-4316j | 3.48e-334, 2.52e-1836j | 
| 8.7058913033657678767e-94 + 1.6386099402443846877e-4334j | 2.45e-352, 1.78e-1854j | 
| 8.9488039974025092201e-19 - 7.7555995198964879363e-4298j | 8.5e-307, 6.16e-1809j | 
| 0.0078294563890632676381 + 6.0992003672516566694e-4290j | 3.34e-276, 2.42e-1778j | 
| 9.6172518228485022197e-11 - 7.3590641496145381724e-4294j | 8.76e-298, 6.35e-1800j | 
| 1.2159092433227194836e-13 - 2.6995513301853572625e-4295j | 3.05e-302, 2.21e-1804j | 
| 3.3068560457468577527e-85 - 1.9248206084208869291e-4330j | 2.66e-348, 1.93e-1850j | 
| 4.0307553984315592112e-32 - 1.941813161540327976e-4304j | 3.31e-320, 2.39e-1822j | 
| 4.407218100924712893e-10 + 1.5643419561485784028e-4293j | 2.42e-298, 1.75e-1800j | 
| 0.13390595727910120818 - 2.4120147044499320982e-4289j | 3.43e-274, 2.48e-1776j | 
| 0.022963851666038050043 + 1.037830956773672199e-4289j | 5.64e-281, 4.09e-1783j | 
| 4.7783157435948235659e-68 + 4.0769667178064127948e-4322j | 2.09e-341, 1.52e-1843j | 
| 4.8349588784631866732e-39 + 7.414028089930088322e-4308j | 9.51e-327, 6.89e-1829j | 
| 1.9506717184352442586e-33 + 4.3485664665009790911e-4305j | 1.1e-321, 7.99e-1824j | 
| 0.095759924588659737446 + 2.089267102939612658e-4289j | 2.54e-281, 1.84e-1783j | 
| 3.8468989639734630783e-12 - 1.493982368717943486e-4294j | 4.45e-304, 3.22e-1806j | 
| 7.4791720338548122902e-97 - 6.2828089635035020895e-4336j | 1.13e-354, 8.16e-1857j | 
| 7.8998857422936450175e-91 - 4.0220544322889456838e-4333j | 5.75e-352, 4.17e-1854j | 
| 0.062353533398396600357 + 1.3451600142476333591e-4289j | 1.86e-288, 1.34e-1790j | 
| 0.004194503447541711516 - 4.4792551510541847615e-4290j | 1.12e-294, 8.15e-1797j | 
| 0.13017522288951157189 + 2.405687195381603687e-4289j | 8.25e-289, 5.97e-1791j | 
| 3.0893040494448222627e-45 + 6.52369391371000015e-4311j | 2.65e-331, 1.92e-1833j | 
| 4.4341527388124164475e-52 + 2.780968697875813277e-4314j | 1.56e-335, 1.13e-1837j | 
| 1.1498737816711416639e-61 - 5.4300784216533844075e-4319j | 5.35e-340, 3.88e-1842j | 
| 5.8931728892226020494e-17 - 6.1651385540440772991e-4297j | 5.74e-315, 4.16e-1817j | 
| 0.036015210062843501921 - 1.2955493542942101205e-4289j | 5.68e-300, 4.11e-1802j | 
| 0.053167670843969000689 + 1.5688908680292081295e-4289j | 7.18e-300, 5.2e-1802j | 
| 0.073728609987402785914 - 1.840875743442078984e-4289j | 1.68e-299, 1.22e-1801j | 
| 2.7192669365190268428e-70 - 3.2647066433453513154e-4323j | 4.38e-344, 3.17e-1846j | 
| 0.099045775766729483902 - 1.9381047949120627278e-4289j | 6.43e-301, 4.66e-1803j | 
| 1.9765124628207347646e-14 + 1.0978342754715374548e-4295j | 7.68e-314, 5.56e-1816j | 
| 0.023292033723822673265 - 4.8670236730246364967e-4290j | 2.59e-302, 1.87e-1804j | 
| 8.2126120917576814283e-24 + 2.4931269743093347428e-4300j | 3.67e-320, 2.66e-1822j | 
| 1.3772371079169956394e-37 - 3.8736312303898215232e-4307j | 6.21e-329, 4.5e-1831j | 
| 6.7007377527793330286e-54 - 3.5363830722203014287e-4315j | 1.86e-337, 1.34e-1839j | 
| 1.5597012964716134634e-40 - 1.3616404375518436421e-4308j | 1.19e-330, 8.6e-1833j | 
| 0.12384798016475815118 + 2.271188748905409035e-4289j | 1.98e-309, 1.43e-1811j | 
All rules of Laguerre type can be downloaded here packed into a single file.