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) | 
|---|---|
| 281.24894114693342008 + 2.9919774310401655816e-4563j | 3.46e-2009, 3.46e-2009j | 
| 309.41401914353866469 - 1.0842712894011165938e-4571j | 2.67e-2012, 2.67e-2012j | 
| 328.25145574499732604 - 6.8784607290527459355e-4576j | 1.83e-2014, 1.83e-2014j | 
| 269.50514449682457243 - 4.7404956621784191123e-4562j | 6.06e-2008, 6.06e-2008j | 
| 59.28490900057261635 - 3.4631210492555296948e-4577j | 5.12e-2002, 5.12e-2002j | 
| 179.19548528944227459 - 4.6214676833516039391e-4577j | 1.8e-2000, 1.8e-2000j | 
| 41.473017296689213726 - 2.464860162464581361e-4604j | 2.45e-2005, 2.45e-2005j | 
| 95.513124901374620656 - 2.369458496714715014e-4596j | 5.41e-1999, 5.41e-1999j | 
| 139.52770660171904486 - 5.5889309841052171758e-4627j | 8.07e-1999, 8.07e-1999j | 
| 18.945120772827267067 - 8.6391761019065017088e-4669j | 2.06e-2013, 2.06e-2013j | 
| 56.510297755213135114 + 9.8333683810376792733e-4657j | 2.02e-2002, 2.02e-2002j | 
| 68.097570958888499238 - 7.2866540431814753907e-4655j | 6.79e-2001, 6.79e-2001j | 
| 39.223704416564963969 - 3.4848122371270189709e-4664j | 6.88e-2006, 6.88e-2006j | 
| 30.922032994167653548 + 9.8703673782576793847e-4667j | 2.48e-2008, 2.48e-2008j | 
| 77.679782010588612092 + 1.5365756354729441986e-4657j | 4.93e-2000, 4.93e-2000j | 
| 129.69353397275366129 + 6.2721023013624352957e-4700j | 1.2e-1998, 1.2e-1998j | 
| 161.08383170914385381 + 1.8087869363404536022e-4756j | 1.53e-1999, 1.53e-1999j | 
| 34.935603826578554379 + 4.2856685918505499266e-4806j | 4.55e-2007, 4.55e-2007j | 
| 149.96980333703162779 + 9.1862151625662101892e-4797j | 4.11e-1999, 4.11e-1999j | 
| 46.187249090121074929 - 1.0562863901930101335e-4838j | 2.99e-2004, 2.99e-2004j | 
| 20.464423745059588181 - 3.8877883525832260824e-4848j | 1.24e-2012, 1.24e-2012j | 
| 51.1963995615037709 - 1.0242251998092631515e-4834j | 2.7e-2003, 2.7e-2003j | 
| 230.58375069444658558 + 9.8486908581880961609e-4837j | 2.92e-2004, 2.92e-2004j | 
| 199.3787421948624622 - 3.8913785352246699589e-4894j | 8.62e-2002, 8.62e-2002j | 
| 48.654370392979787858 + 7.8874888462058013084e-4945j | 8.76e-2004, 8.76e-2004j | 
| 222.22127456908327091 - 2.8017509725989941557e-4948j | 1.41e-2003, 1.41e-2003j | 
| 13.485929844956318297 + 1.1938968640383629458e-5009j | 8.7e-2017, 8.7e-2017j | 
| 294.3275009983882472 - 3.8910536488146349108e-4991j | 1.36e-2010, 1.36e-2010j | 
| 8.0202275841074402809 + 1.0025939962825406324e-5059j | 2.05e-2021, 2.05e-2021j | 
| 214.26127344831673289 + 5.4651151982357423996e-5052j | 6.69e-2003, 6.69e-2003j | 
| 29.016060417989358104 + 3.016127727420264921e-5138j | 5.4e-2009, 5.4e-2009j | 
| 99.38198537337651191 + 8.2114467655895050393e-5127j | 7.03e-1999, 7.03e-1999j | 
| 5.4512781818273262142 - 1.4816070951807786615e-5221j | 2.01e-2024, 2.01e-2024j | 
| 166.91702660000408672 - 5.2128552431809671093e-5202j | 7.94e-2000, 7.94e-2000j | 
| 17.488121296085089827 - 3.112782649344610573e-5259j | 3.08e-2014, 3.08e-2014j | 
| 62.139922904031282956 - 1.9220077919088527722e-5243j | 1.36e-2001, 1.36e-2001j | 
| 16.092906891579076113 + 2.0288276667976080482e-5299j | 4.73e-2015, 4.73e-2015j | 
| 1.159863431353306902 + 8.9190290634134543474e-5317j | 4.45e-2033, 4.45e-2033j | 
| 37.044887492077150797 + 2.4755101868838847955e-5284j | 1.88e-2006, 1.88e-2006j | 
| 1.9072852591327770968 - 4.9317333617630932623e-5314j | 1.04e-2030, 1.04e-2030j | 
| 23.692184950933736179 - 1.4646350819556346426e-5294j | 4.08e-2011, 4.08e-2011j | 
| 107.44627068712621706 - 1.2725274462246234595e-5280j | 1.2e-1998, 1.2e-1998j | 
| 111.64885527125748308 - 3.1898864717943117638e-5327j | 1.33e-1998, 1.33e-1998j | 
| 84.52187682421622441 - 3.1503577088290578952e-5357j | 1.56e-1999, 1.56e-1999j | 
| 32.894940742203335701 - 4.9603875838669484229e-5414j | 1.09e-2007, 1.09e-2007j | 
| 258.74593357633520397 + 2.8553831298459416857e-5408j | 6.81e-2007, 6.81e-2007j | 
| 91.748771800428599944 - 1.0258637663384331462e-5470j | 3.89e-1999, 3.89e-1999j | 
| 3.4142135623730950488 - 5.0773555656696086381e-5582j | 1.54e-2027, 1.54e-2027j | 
| 65.076918884500370283 - 3.656926997967511142e-5553j | 2.99e-2001, 2.99e-2001j | 
| 4.0337717397973055731 + 6.9073054391355400031e-5647j | 1.84e-2026, 1.84e-2026j | 
| 185.66977863490229664 - 2.9649715160919725636e-5692j | 7.04e-2001, 7.04e-2001j | 
| 155.43826422384525459 + 3.1611804525039114478e-5894j | 2.57e-1999, 2.57e-1999j | 
| 192.39054879932544503 + 2.0218350583233961743e-6026j | 2.63e-2001, 2.63e-2001j | 
| 8.9944618705472809331 + 3.0448605966844598729e-6125j | 1.86e-2020, 1.86e-2020j | 
| 7.1050026463165138043 + 3.9800913262773676556e-6128j | 2.13e-2022, 2.13e-2022j | 
| 4.7128927505461891159 + 9.4560724198211993301e-6153j | 2.05e-2025, 2.05e-2025j | 
| 120.41503281273484207 - 5.3731984154972093977e-6172j | 1.35e-1998, 1.35e-1998j | 
| 124.98771563522840796 + 8.0035353883195222277e-6295j | 1.36e-1998, 1.36e-1998j | 
| 172.94973639162624404 - 4.8182242943611433588e-6360j | 4.22e-2000, 4.22e-2000j | 
| 2.8542823801281171148 + 2.7869736218153772032e-6411j | 1.37e-2028, 1.37e-2028j | 
| 81.053963831530900469 + 1.2638005428813339124e-6380j | 9.27e-2000, 9.27e-2000j | 
| 6.2486869815163946423 - 8.0061053801249589917e-6418j | 2.04e-2023, 2.04e-2023j | 
| 1.511387892881063791 - 8.6418008854064388011e-6427j | 7.76e-2032, 7.76e-2032j | 
| 10.027883359091578951 - 6.6357340759703446284e-6414j | 1.65e-2019, 1.65e-2019j | 
| 25.401852935984502239 - 2.8103848148367135765e-6405j | 2.24e-2010, 2.24e-2010j | 
| 0.19890665726474877317 + 6.6730595222382582633e-6433j | 1.79e-2038, 1.79e-2038j | 
| 11.120732601106355648 + 4.3638781350782368155e-6414j | 1.45e-2018, 1.45e-2018j | 
| 43.793841683663423867 + 1.2834982619822589028e-6399j | 8.53e-2005, 8.53e-2005j | 
| 239.40526424982372054 + 2.3379648885973388627e-6392j | 4.79e-2005, 4.79e-2005j | 
| 22.046582751072899518 - 1.0585385160485881504e-6439j | 7.45e-2012, 7.45e-2012j | 
| 12.273302244548309127 + 1.3116610795494137444e-6445j | 1.12e-2017, 1.12e-2017j | 
| 14.758993115833444337 + 1.8872017911076650931e-6443j | 6.2e-2016, 6.2e-2016j | 
| 144.66908042304350703 - 3.713777627521968637e-6426j | 6.28e-1999, 6.28e-1999j | 
| 115.97032414976563187 - 8.3642028399227632563e-6464j | 1.31e-1998, 1.31e-1998j | 
| 53.814597744423891672 + 4.4076668903253094537e-6489j | 7.23e-2003, 7.23e-2003j | 
| 0.85079222290490822944 - 1.516095205886860073e-6521j | 2.31e-2034, 2.31e-2034j | 
| 74.397057083866819631 + 5.0503563064948310966e-6485j | 2.6e-2000, 2.6e-2000j | 
| 134.53813263303536417 + 1.5343421083940275599e-6494j | 1.02e-1998, 1.02e-1998j | 
| 103.35855259103473115 + 5.777513586306918395e-6520j | 9.19e-1999, 9.19e-1999j | 
| 206.65910696591198163 - 1.4716975997427179278e-6545j | 2.49e-2002, 2.49e-2002j | 
| 0.015427330268916217827 - 1.0638730583251858239e-6676j | 9.36e-2042, 9.36e-2042j | 
| 0.5857864376269049512 - 5.898469492064362305e-6596j | 1.05e-2035, 1.05e-2035j | 
| 0.081164205335199912073 - 1.1456649265837930741e-6598j | 5.29e-2040, 5.29e-2040j | 
| 248.75950614218455568 + 2.4089788801035462059e-6557j | 6.04e-2006, 6.04e-2006j | 
| 2.3530321758295961208 - 2.3116059112639119139e-6589j | 1.33e-2029, 1.33e-2029j | 
| 71.203655048761000025 - 1.1411401178317593207e-6559j | 1.31e-2000, 1.31e-2000j | 
| 0.36767344191386002882 + 1.010857658005522037e-6595j | 4.24e-2037, 4.24e-2037j | 
| 88.085948113051984069 - 2.1810560416592509148e-6557j | 2.42e-1999, 2.42e-1999j | 
| 27.176245796299881525 + 6.552107421866251001e-6579j | 1.11e-2009, 1.11e-2009j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 8.8368012660605875294e-122 - 4.6935802959514190298e-4653j | 8.32e-376, 5.57e-1880j | 
| 6.9256481355009982183e-134 - 3.5138905345585575658e-4659j | 9.42e-380, 6.31e-1884j | 
| 6.1327115365910229494e-142 + 2.9847406038306918381e-4663j | 2.46e-382, 1.65e-1886j | 
| 1.0114109750839875176e-116 + 1.7130999313758543669e-4650j | 9.16e-375, 6.14e-1879j | 
| 5.038499163059673726e-26 + 8.8784039954183719386e-4603j | 2.79e-322, 1.87e-1826j | 
| 9.5424293058047494111e-78 - 1.1342202264613873813e-4630j | 7.58e-362, 5.07e-1866j | 
| 2.225172342220866962e-18 - 7.860824660516212589e-4600j | 1.96e-310, 1.31e-1814j | 
| 1.2612344536897642768e-41 + 5.9513250150093104249e-4612j | 3.87e-340, 2.59e-1844j | 
| 1.2835258537126312169e-60 + 7.0598921774892287053e-4622j | 1.59e-353, 1.06e-1857j | 
| 8.8076411650456548867e-09 - 3.3585759273455564216e-4595j | 7.24e-286, 4.85e-1790j | 
| 7.8493410899519493304e-25 - 2.5452583010831249247e-4602j | 1.72e-321, 1.15e-1825j | 
| 8.1612496115906373817e-30 + 2.344236227450746291e-4605j | 1.71e-328, 1.15e-1832j | 
| 2.0441823832770024066e-17 + 2.1793396539252621503e-4599j | 2.45e-310, 1.64e-1814j | 
| 7.2173587332584237761e-14 + 1.0412130500192503374e-4597j | 1.06e-303, 7.07e-1808j | 
| 6.1135562350963054583e-34 - 9.0785679723195889493e-4608j | 1.11e-333, 7.43e-1838j | 
| 2.257962229347095519e-56 + 1.107715757375264176e-4619j | 2.15e-352, 1.44e-1856j | 
| 6.3227369375304575376e-70 + 1.1480091724855834772e-4626j | 1.27e-360, 8.5e-1865j | 
| 1.3952163937519167291e-15 + 1.5784990948807179915e-4598j | 4.94e-310, 3.31e-1814j | 
| 3.9808498633335897354e-65 + 3.3534086102132715555e-4624j | 7.5e-358, 5.02e-1862j | 
| 2.1220299218577847057e-20 - 9.8592620599732914818e-4601j | 1.06e-318, 7.11e-1823j | 
| 2.0087392467192076944e-09 + 1.5952397610937930012e-4595j | 1.69e-297, 1.13e-1801j | 
| 1.5041413731865062242e-22 - 1.2729913179056959229e-4601j | 6.69e-322, 4.48e-1826j | 
| 6.19876804635451619e-100 + 5.6316197859247922939e-4642j | 6.45e-376, 4.32e-1880j | 
| 1.8364925411587919861e-86 + 4.0344950070747975235e-4635j | 9.3e-371, 6.23e-1875j | 
| 1.8551287103521946176e-21 + 3.4941731257973863896e-4601j | 8.36e-323, 5.6e-1827j | 
| 2.5225566193945442916e-96 - 3.848186243286187204e-4640j | 6.8e-375, 4.56e-1879j | 
| 1.7279417580064699892e-06 - 5.0523418228127712949e-4594j | 7.17e-296, 4.8e-1800j | 
| 2.0844891027827544532e-127 + 6.6531698666373214129e-4656j | 2.06e-386, 1.38e-1890j | 
| 0.00031056751584213921479 + 8.3664210677642965491e-4593j | 2.59e-285, 1.73e-1789j | 
| 6.8893917396555220447e-93 + 2.1537684506986556585e-4638j | 1.04e-373, 6.96e-1878j | 
| 4.6877986287476609061e-13 - 2.5742739467467918692e-4597j | 4.6e-315, 3.08e-1819j | 
| 2.7069334215583873286e-43 - 7.7183490480890984251e-4613j | 4.37e-350, 2.93e-1854j | 
| 0.0032950353141101206632 - 3.3624628005086867302e-4592j | 1.85e-280, 1.24e-1784j | 
| 1.9141367876465060883e-72 - 5.8671510355118035994e-4628j | 2.57e-365, 1.72e-1869j | 
| 3.6235316904273618774e-08 + 6.8835575662340156573e-4595j | 1.15e-305, 7.72e-1810j | 
| 2.9835481444906989004e-27 + 1.4511217406702736087e-4603j | 6.79e-335, 4.55e-1839j | 
| 1.3992924259875814694e-07 - 1.3736085267550390519e-4594j | 1.48e-304, 9.94e-1809j | 
| 0.10357102763779632478 - 2.3817544324657679431e-4591j | 6.51e-253, 4.36e-1757j | 
| 1.7490938363522264992e-16 - 5.9291081987001977626e-4599j | 3.07e-321, 2.06e-1825j | 
| 0.062326670595919388601 - 2.2743043926868639806e-4591j | 7.59e-265, 5.08e-1769j | 
| 8.6155830581916718203e-11 + 3.3190314925988320594e-4596j | 3.54e-313, 2.37e-1817j | 
| 8.9980938870438434282e-47 - 1.1256008622550139819e-4614j | 1.51e-353, 1.01e-1857j | 
| 1.3837684854635779684e-48 + 1.2588317361262866984e-4615j | 6.11e-355, 4.1e-1859j | 
| 6.8962272504845240494e-37 - 2.1275837774835982991e-4609j | 4.09e-347, 2.74e-1851j | 
| 1.0384349801216288497e-14 - 4.1046666986317315114e-4598j | 3.44e-322, 2.31e-1826j | 
| 4.3933114537359506674e-112 - 3.8412260560167259507e-4648j | 2.75e-385, 1.84e-1889j | 
| 5.2936160314963442481e-40 - 4.392635965635178687e-4611j | 2.78e-349, 1.86e-1853j | 
| 0.019402722224401765203 + 1.0754477165098733789e-4591j | 3.04e-290, 2.04e-1794j | 
| 1.6272571847872632414e-28 - 1.6307431024430829886e-4604j | 2.21e-339, 1.48e-1843j | 
| 0.011498939957608454594 - 7.5193171368391101968e-4592j | 3.94e-294, 2.64e-1798j | 
| 1.5268955249689264503e-80 + 4.2277782864292898269e-4632j | 2.13e-372, 1.43e-1876j | 
| 1.7327344932495147158e-67 - 2.0488897610624466003e-4625j | 2.31e-366, 1.55e-1870j | 
| 1.9124121924297217632e-83 - 1.395287798765002124e-4633j | 7.67e-374, 5.14e-1878j | 
| 0.00012456580285414057323 - 5.0162575486614687354e-4593j | 2.98e-312, 2e-1816j | 
| 0.00072719875071944420424 - 1.3621742699610937613e-4592j | 7.39e-309, 4.95e-1813j | 
| 0.0063641731416635089889 + 5.0950380617495624586e-4592j | 3.25e-303, 2.17e-1807j | 
| 2.2823769201519496068e-52 + 1.3323125601039887663e-4617j | 3.67e-360, 2.46e-1864j | 
| 2.4259872131369075298e-54 - 1.2538748752288917418e-4618j | 3.89e-361, 2.6e-1865j | 
| 4.7514640435692501872e-75 + 2.7185443679145375476e-4629j | 1.16e-370, 7.79e-1875j | 
| 0.030543119630351344835 - 1.4755067779524638103e-4591j | 2.42e-304, 1.62e-1808j | 
| 2.1518905650358599198e-35 + 1.4079476384744141956e-4608j | 2.45e-350, 1.64e-1854j | 
| 0.0015983339801429821187 + 2.1656991629004893366e-4592j | 5.82e-313, 3.9e-1817j | 
| 0.082290185105410017212 + 2.4522414577498528916e-4591j | 1.36e-300, 9.09e-1805j | 
| 4.693706049176808063e-05 + 2.934766519551110377e-4593j | 1.39e-319, 9.3e-1824j | 
| 1.6186129658328833221e-11 - 1.4538623003240941187e-4596j | 4.85e-331, 3.25e-1835j | 
| 0.11759316288925477171 - 8.1243851923670200041e-4592j | 3.88e-302, 2.6e-1806j | 
| 1.6617825028371341955e-05 - 1.6746989045652722152e-4593j | 1.48e-321, 9.91e-1826j | 
| 2.2538414271795184861e-19 + 2.7944562092208581692e-4600j | 4.55e-338, 3.05e-1842j | 
| 9.6695163863833758604e-104 - 6.563373320975857159e-4644j | 4e-386, 2.68e-1890j | 
| 4.2967001526102099389e-10 - 7.3753654682663840121e-4596j | 1.74e-329, 1.17e-1833j | 
| 5.5282540525029435e-06 + 9.3174186554347030679e-4594j | 5.44e-324, 3.64e-1828j | 
| 5.0738066350881985676e-07 + 2.6692471593456478514e-4594j | 9.77e-326, 6.55e-1830j | 
| 7.7386328588193207693e-63 - 5.057635790337008513e-4623j | 1.49e-366, 9.99e-1871j | 
| 1.8898768653750702248e-50 - 1.33281284089247091e-4616j | 1.12e-360, 7.49e-1865j | 
| 1.1296998254034571731e-23 + 5.0248820089665614875e-4602j | 2.22e-344, 1.48e-1848j | 
| 0.12277861042964933211 + 2.1014215789870273687e-4591j | 1.28e-320, 8.58e-1825j | 
| 1.584921591898987888e-32 + 5.7538440369561140056e-4607j | 1.6e-351, 1.07e-1855j | 
| 1.829968610995912796e-58 - 9.1572281296739316449e-4621j | 5.36e-365, 3.59e-1869j | 
| 5.2170220888935069298e-45 + 9.5539157114466428164e-4614j | 1.93e-358, 1.3e-1862j | 
| 1.3195353765783945021e-89 - 1.0095080008732266444e-4636j | 2.5e-381, 1.68e-1885j | 
| 0.038972008234977370222 - 1.219659776829851005e-4592j | 4.15e-330, 2.78e-1834j | 
| 0.13472914874064094466 - 1.6986808712424240792e-4591j | 3.64e-330, 2.44e-1834j | 
| 0.084690194950091991406 + 4.2228544346531007836e-4592j | 5.57e-330, 3.73e-1834j | 
| 8.9061839769388722271e-108 + 5.8730805085481314738e-4646j | 1.77e-390, 1.19e-1894j | 
| 0.044947319425549213148 + 1.9082669907962158728e-4591j | 2.23e-332, 1.5e-1836j | 
| 3.7573009593101314609e-31 - 3.633893825005999204e-4606j | 2.52e-352, 1.69e-1856j | 
| 0.13416550969467028614 + 1.2511851643082538232e-4591j | 1.11e-333, 7.42e-1838j | 
| 2.0073671742061653285e-38 + 3.1136540645601860013e-4610j | 4.21e-356, 2.82e-1860j | 
| 2.8474808250901460551e-12 + 6.1997037559137857083e-4597j | 2.97e-342, 1.99e-1846j | 
All rules of Laguerre type can be downloaded here packed into a single file.