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) | 
|---|---|
| 289.67361144993706957 + 1.2121991735243356187e-5150j | 3.3e-2006, 3.3e-2006j | 
| 330.53232910816080323 + 1.1317207561925751988e-5159j | 1.13e-2010, 1.13e-2010j | 
| 349.78514208283924275 - 5.9482484844454325948e-5166j | 7.03e-2013, 7.03e-2013j | 
| 268.39043437322204305 - 1.4391516680590949476e-5148j | 4.65e-2004, 4.65e-2004j | 
| 74.047926700465689334 - 1.2278570872966136032e-5155j | 4.44e-1998, 4.44e-1998j | 
| 145.32536859440646211 + 5.1704941775080175245e-5185j | 5.96e-1996, 5.96e-1996j | 
| 17.262768348360246016 - 7.3210705625504789229e-5261j | 8.01e-2013, 8.01e-2013j | 
| 94.211484082468939145 + 1.3803177819520106117e-5245j | 1.4e-1996, 1.4e-1996j | 
| 126.45489545448936341 - 1.0576954003424209744e-5308j | 9.24e-1996, 9.24e-1996j | 
| 24.791970353387861387 - 3.3080461929908070517e-5356j | 4.89e-2009, 4.89e-2009j | 
| 51.677865960402310034 + 8.490755384669225211e-5343j | 2.76e-2001, 2.76e-2001j | 
| 65.08982253672356303 - 6.3447607988245587333e-5361j | 3.83e-1999, 3.83e-1999j | 
| 196.72928878417408344 + 5.3258154271231953401e-5403j | 3.05e-1998, 3.05e-1998j | 
| 62.259226112952658928 + 3.0896448613075412399e-5436j | 1.49e-1999, 1.49e-1999j | 
| 315.09861985711578544 - 1.9932112630369118697e-5436j | 6.12e-2009, 6.12e-2009j | 
| 28.226783174986474689 + 3.6065790988724155435e-5451j | 1.17e-2007, 1.17e-2007j | 
| 122.04645332785852472 + 6.6958532321711407316e-5440j | 9.46e-1996, 9.46e-1996j | 
| 160.92540458107138781 - 7.7648546372542344105e-5474j | 1.98e-1996, 1.98e-1996j | 
| 54.214515537942590795 - 1.5335224848662662311e-5507j | 8.05e-2001, 8.05e-2001j | 
| 117.75295300975170362 - 2.8579048178071587511e-5502j | 8.26e-1996, 8.26e-1996j | 
| 13.465236504124375423 - 8.101889015382165991e-5541j | 2.78e-2015, 2.78e-2015j | 
| 11.242378555161742866 + 1.4912923098728410425e-5542j | 6.09e-2017, 6.09e-2017j | 
| 77.194513689626860031 + 6.8483665089167403867e-5521j | 8.95e-1998, 8.95e-1998j | 
| 184.01918915111763898 - 8.2358499586972877933e-5539j | 1.61e-1997, 1.61e-1997j | 
| 97.886110961100536489 + 2.4766719921726315952e-5551j | 2.16e-1996, 2.16e-1996j | 
| 87.140026783727404995 - 6.1070809832475038658e-5553j | 5.74e-1997, 5.74e-1997j | 
| 59.503997275110934729 - 3.4887014462118237405e-5567j | 5.92e-2000, 5.92e-2000j | 
| 40.032954918980320192 - 2.9665128665232383645e-5571j | 6.95e-2004, 6.95e-2004j | 
| 113.57060697010461679 - 3.2831438488344316131e-5562j | 7.18e-1996, 7.18e-1996j | 
| 150.37746278521965619 + 1.6102511537956670677e-5593j | 4.16e-1996, 4.16e-1996j | 
| 80.424160377243158971 + 2.3477360335658092087e-5621j | 1.59e-1997, 1.59e-1997j | 
| 35.842163619305416088 - 6.7685323910140762095e-5650j | 4.36e-2005, 4.36e-2005j | 
| 301.70767170099840582 + 9.1375655757185823291e-5640j | 1.77e-2007, 1.77e-2007j | 
| 6.7735182783448674233 - 1.6778715889976156024e-5692j | 2.41e-2021, 2.41e-2021j | 
| 33.84358807887707112 + 3.4559733527754584756e-5667j | 1.09e-2005, 1.09e-2005j | 
| 155.57515969063174809 + 8.0189453174724467782e-5687j | 2.87e-1996, 2.87e-1996j | 
| 7.5642936320278128347 - 5.7523223268162569923e-5783j | 2.16e-2020, 2.16e-2020j | 
| 278.63976069394621191 + 8.2758848504534225862e-5818j | 4.33e-2005, 4.33e-2005j | 
| 135.6333250865321663 + 3.1273669907352948545e-5951j | 8.15e-1996, 8.15e-1996j | 
| 232.91688644677578407 - 3.2328764689414230203e-6075j | 6.64e-2001, 6.64e-2001j | 
| 8.3958113854215731381 + 2.114438006019964316e-6150j | 1.72e-2019, 1.72e-2019j | 
| 190.26681490983172392 + 1.3047730260578978617e-6177j | 7.24e-1998, 7.24e-1998j | 
| 249.7146726408641427 - 4.9620166807799270657e-6264j | 2.45e-2002, 2.45e-2002j | 
| 9.2805447395785926504 - 4.218637840176607357e-6337j | 1.42e-2018, 1.42e-2018j | 
| 20.094629566470556729 + 2.5744846908751091586e-6332j | 2.84e-2011, 2.84e-2011j | 
| 1.9737629175783238125 - 2.7570227756057175325e-6347j | 1.23e-2029, 1.23e-2029j | 
| 258.7824857753661872 + 6.2101474204287865435e-6374j | 3.77e-2003, 3.77e-2003j | 
| 1.3073841499598363613 + 8.1300551252602389165e-6451j | 8.83e-2032, 8.83e-2032j | 
| 2.8500082985710811872 + 1.6799949904309961145e-6447j | 1.3e-2027, 1.3e-2027j | 
| 70.982682018696035171 - 1.0318427458105655375e-6521j | 1.91e-1998, 1.91e-1998j | 
| 210.36433787152371512 - 1.6858327159787800597e-6645j | 3.67e-1999, 3.67e-1999j | 
| 14.67046573753055496 - 1.6318549346811665529e-6713j | 1.86e-2014, 1.86e-2014j | 
| 42.226721268395821875 - 1.9892190199816103808e-6694j | 2.5e-2003, 2.5e-2003j | 
| 3.3846662178349196405 + 1.9956490629912600537e-6743j | 1.46e-2026, 1.46e-2026j | 
| 6.0165843328122930598 - 6.2146602183387436785e-6737j | 2.46e-2022, 2.46e-2022j | 
| 49.211782948534292088 + 3.2150418343434336051e-6747j | 9.17e-2002, 9.17e-2002j | 
| 166.43587922378389693 - 8.8884347043950728505e-6838j | 1.17e-1996, 1.17e-1996j | 
| 203.42238278472145175 - 3.511773995490647325e-6903j | 1.06e-1998, 1.06e-1998j | 
| 37.905035018442849109 - 1.31893941849141852e-6929j | 1.74e-2004, 1.74e-2004j | 
| 1.6296155167133303835 - 3.7867523403434099794e-6956j | 1.22e-2030, 1.22e-2030j | 
| 241.11199313695900339 - 2.5070309512326559501e-6920j | 1.4e-2001, 1.4e-2001j | 
| 105.52557800010472654 + 6.6523856161576779164e-6925j | 4.36e-1996, 4.36e-1996j | 
| 90.630231212304881495 - 9.4471693001691009253e-6932j | 9.05e-1997, 9.05e-1997j | 
| 12.321987751810134788 + 2.6145791226847128936e-6967j | 4.28e-2016, 4.28e-2016j | 
| 15.936535840935826257 + 6.7733909509724909138e-6965j | 1.24e-2013, 1.24e-2013j | 
| 1 - 4.1251529371186989519e-6984j | 4.69e-2033, 4.69e-2033j | 
| 21.600258174272140699 + 3.752752853299146742e-6961j | 1.62e-2010, 1.62e-2010j | 
| 177.97265458501108773 - 2.8041106215308520611e-6945j | 3.44e-1997, 3.44e-1997j | 
| 67.997158091947722966 + 6.5099761542168686805e-6971j | 8.66e-1999, 8.66e-1999j | 
| 10.228300261363147498 - 9.8860451636729344846e-6996j | 8.96e-2018, 8.96e-2018j | 
| 0.72352157090870980357 - 3.6578577547964059323e-7012j | 2.03e-2034, 2.03e-2034j | 
| 140.41257156003911028 + 3.8021879898897376321e-6972j | 6.78e-1996, 6.78e-1996j | 
| 46.815218319887654494 - 3.3218968264701201289e-7016j | 3.19e-2002, 3.19e-2002j | 
| 0.48853573194413053041 - 1.64870879078846086e-7050j | 7.87e-2036, 7.87e-2036j | 
| 217.57646150835716695 + 5.9767976194845742701e-7009j | 1.09e-1999, 1.09e-1999j | 
| 83.738687386660975692 + 6.6166343825206367154e-7037j | 3.04e-1997, 3.04e-1997j | 
| 5.2944122775768933153 + 1.3518229975435916149e-7096j | 2.19e-2023, 2.19e-2023j | 
| 44.487178362033900789 + 5.7153566792668095157e-7070j | 8.38e-2003, 8.38e-2003j | 
| 23.165932777409573211 + 1.3722411764033270981e-7082j | 9.32e-2010, 9.32e-2010j | 
| 30.036537965882716159 - 6.8674645009942499283e-7080j | 5.27e-2007, 5.27e-2007j | 
| 4.6117200024870795488 - 4.1678472421885168237e-7098j | 1.8e-2024, 1.8e-2024j | 
| 3.9735901266647715445 - 5.0919313270639599335e-7099j | 1.57e-2025, 1.57e-2025j | 
| 26.478766703990765171 + 4.2347689817567757066e-7082j | 2.33e-2008, 2.33e-2008j | 
| 225.08392957625715466 - 5.4947342869452701495e-7068j | 2.83e-2000, 2.83e-2000j | 
| 172.1151188256881893 + 6.7652294335351255504e-7096j | 6.42e-1997, 6.42e-1997j | 
| 18.648829011017760573 + 4.226551265333491459e-7123j | 4.84e-2012, 4.84e-2012j | 
| 0.011638304305344415255 - 6.1125255019061504577e-7153j | 9.02e-2042, 9.02e-2042j | 
| 2.3769100647237963068 + 1.3707646951404772893e-7139j | 1.24e-2028, 1.24e-2028j | 
| 31.908600527331455436 - 1.5390919763355394513e-7117j | 2.72e-2006, 2.72e-2006j | 
| 101.65659234138533402 + 3.381992765277306122e-7106j | 3.17e-1996, 3.17e-1996j | 
| 56.822837242211272588 + 6.3386848598538553459e-7124j | 2.24e-2000, 2.24e-2000j | 
| 0.15769548012154955374 + 4.2054732874466586719e-7162j | 1.22e-2038, 1.22e-2038j | 
| 0.29947395386674610065 + 4.5040013580273613318e-7161j | 2.8e-2037, 2.8e-2037j | 
| 0.06257615322894845739 - 1.6168678391659897312e-7164j | 4.08e-2040, 4.08e-2040j | 
| 130.98237366887880393 - 7.8305977702027123943e-7118j | 8.8e-1996, 8.8e-1996j | 
| 109.49590319094062456 + 1.8959670886306057797e-7136j | 5.51e-1996, 5.51e-1996j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.8057285291684975197e-125 - 2.1064470664478733206e-5237j | 3.36e-368, 2.22e-1868j | 
| 4.7707668379687846788e-143 + 2.2019614647255890763e-5246j | 6.51e-374, 4.29e-1874j | 
| 2.7858007863545664442e-151 - 1.3954177271169987333e-5250j | 1.78e-376, 1.17e-1876j | 
| 2.7261099323494866384e-116 - 1.0605466643287596108e-5232j | 6.74e-366, 4.44e-1866j | 
| 2.1554842062190285e-32 + 1.3996009902414971962e-5187j | 3.97e-317, 2.62e-1817j | 
| 3.831330062149007895e-63 - 3.8098160859065833535e-5205j | 1.6e-343, 1.05e-1843j | 
| 4.317098779329680812e-08 + 2.0095882105897118819e-5175j | 1.34e-262, 8.84e-1763j | 
| 4.4064060970346659352e-41 - 3.5630871657403866185e-5193j | 4.18e-327, 2.75e-1827j | 
| 5.3873724599400175111e-55 - 8.1955016026476285559e-5201j | 2.32e-338, 1.53e-1838j | 
| 2.8322718022560279444e-11 - 2.3206809510654091555e-5177j | 3.06e-278, 2.01e-1778j | 
| 9.0101936592316212504e-23 + 1.6662582930544896948e-5183j | 1.26e-305, 8.33e-1806j | 
| 1.5471737392712531172e-28 - 3.3002752667475307118e-5186j | 6.53e-314, 4.3e-1814j | 
| 2.3957914459461279725e-85 + 9.3892931680741752171e-5217j | 2.7e-357, 1.78e-1857j | 
| 2.5537855300477205606e-27 + 1.121501932365985794e-5185j | 1.38e-312, 9.09e-1813j | 
| 2.0337237050044161382e-136 - 5.3303064762624405582e-5243j | 6.66e-375, 4.39e-1875j | 
| 9.8036926620644712881e-13 - 3.3840012811986031157e-5178j | 3e-287, 1.98e-1787j | 
| 4.3094271214470598449e-53 + 8.6153890969055473959e-5200j | 4.1e-338, 2.7e-1838j | 
| 7.0098002825281462668e-70 + 1.0834071967920693658e-5208j | 7.32e-350, 4.82e-1850j | 
| 7.3325676734579182467e-24 - 4.8262683110571659596e-5184j | 2.34e-310, 1.54e-1810j | 
| 3.0734992946099241815e-51 - 8.6087066909728362668e-5199j | 3.23e-337, 2.13e-1837j | 
| 1.6671130450182817899e-06 - 2.378452946667372456e-5174j | 1.49e-268, 9.83e-1769j | 
| 1.3724646243752451205e-05 - 1.1350469152644645727e-5173j | 2.79e-263, 1.84e-1763j | 
| 9.5135536299158045618e-34 + 1.6170725608065594209e-5188j | 6.92e-323, 4.56e-1823j | 
| 7.4130848930631021047e-80 + 6.6813726987230314872e-5214j | 2.91e-356, 1.91e-1856j | 
| 1.1465509413823180355e-42 + 4.4858942045052792538e-5194j | 9.34e-332, 6.15e-1832j | 
| 4.9295728933925763184e-38 - 2.1636582300796541309e-5191j | 5.46e-328, 3.6e-1828j | 
| 3.9083117375778168528e-26 - 3.922581031023459401e-5185j | 1.15e-315, 7.57e-1816j | 
| 8.8818682226057738542e-18 - 6.0814274256098837505e-5181j | 7.86e-307, 5.18e-1807j | 
| 1.9617681705031122822e-49 + 8.2007935070926483442e-5198j | 3.19e-337, 2.1e-1837j | 
| 2.5205156097048236361e-65 + 2.6889947886062728352e-5206j | 8.73e-349, 5.75e-1849j | 
| 3.8637968856022975124e-35 - 1.4740183334497292877e-5189j | 8.24e-326, 5.43e-1826j | 
| 5.5153221007628041454e-16 - 5.4923269029050032476e-5180j | 4.2e-306, 2.77e-1806j | 
| 1.1792720018674194776e-130 + 4.6938520507456348856e-5240j | 5.16e-379, 3.4e-1879j | 
| 0.00088455536696924458373 + 2.4234304750860703813e-5172j | 4.69e-267, 3.09e-1767j | 
| 3.9413712513528361732e-15 + 1.5932357483991432428e-5179j | 2.36e-305, 1.56e-1805j | 
| 1.4341819721630378776e-67 - 1.7705171613108332956e-5207j | 1.35e-350, 8.88e-1851j | 
| 0.00041973524055894408662 - 1.523102208004556606e-5172j | 8.8e-272, 5.8e-1772j | 
| 1.0330732718422325333e-120 + 5.7463421744659812118e-5235j | 5.76e-376, 3.79e-1876j | 
| 5.8696062572254724868e-59 - 6.2951482197362516496e-5203j | 4.2e-346, 2.77e-1846j | 
| 5.6100476599491056315e-101 - 7.8564039241185974726e-5225j | 2.27e-370, 1.49e-1870j | 
| 0.00019329375216709133678 + 8.8737030842296471536e-5173j | 2.62e-280, 1.73e-1780j | 
| 1.4829409538579776326e-82 - 2.6405546850348666573e-5215j | 4.82e-361, 3.18e-1861j | 
| 3.1331540957705845867e-108 - 1.4568413075463515577e-5228j | 3.31e-373, 2.18e-1873j | 
| 8.5312308485879399316e-05 - 4.75843148695048098e-5173j | 2.12e-286, 1.4e-1786j | 
| 2.7669910769706496371e-09 + 3.5682614334035666675e-5176j | 4.65e-304, 3.07e-1804j | 
| 0.05118444332958026293 + 6.1510765735868913429e-5171j | 1.63e-258, 1.07e-1758j | 
| 3.8174780315457174439e-112 + 1.4219868666078373256e-5230j | 2e-374, 1.32e-1874j | 
| 0.08580552130525653355 + 6.601631725100941391e-5171j | 1.69e-252, 1.11e-1752j | 
| 0.029232938778707800098 + 2.7709191444414982988e-5171j | 1.33e-267, 8.78e-1768j | 
| 4.5014842782902015329e-31 - 4.31895561403860213e-5187j | 5.86e-331, 3.86e-1831j | 
| 3.0870566861249161881e-91 + 8.3627679272040511872e-5220j | 4.46e-367, 2.94e-1867j | 
| 5.2558736734978337248e-07 + 1.0598711458717826239e-5174j | 2.53e-300, 1.66e-1800j | 
| 1.0206615645213106961e-18 + 1.9535661371940778908e-5181j | 1.02e-321, 6.74e-1822j | 
| 0.019071006953500390882 - 1.7903663830349879241e-5171j | 2.34e-276, 1.54e-1776j | 
| 0.0018045565643658615159 - 3.6630777656630147763e-5172j | 1.67e-285, 1.1e-1785j | 
| 1.0313513624574955555e-21 - 5.6556571768424962716e-5183j | 1.35e-324, 8.9e-1825j | 
| 2.9207110144942292734e-72 - 6.135903037447451964e-5210j | 6.53e-358, 4.3e-1858j | 
| 3.0775125198318667946e-88 - 2.9798254648947730222e-5218j | 1.09e-365, 7.19e-1866j | 
| 7.2325545249813878852e-17 + 1.8492780127054099998e-5180j | 1.33e-321, 8.77e-1822j | 
| 0.064261348303852356374 - 7.1256123273734962274e-5171j | 2.83e-274, 1.87e-1774j | 
| 1.622471297059397476e-104 + 1.1839998477195685425e-5226j | 6.25e-373, 4.11e-1873j | 
| 5.8078781268782694469e-46 + 6.5317517854337288126e-5196j | 4.22e-345, 2.78e-1845j | 
| 1.542494101763197794e-39 + 2.7814055731694739999e-5192j | 1.99e-340, 1.31e-1840j | 
| 4.9503275088289502087e-06 + 5.2499943047061410435e-5174j | 2.1e-306, 1.38e-1806j | 
| 1.5542938869863772079e-07 - 4.6511030415514605095e-5175j | 1.11e-310, 7.34e-1811j | 
| 0.108309611887154073 - 5.4503366072378428497e-5171j | 4.51e-282, 2.97e-1782j | 
| 6.3886180942211126723e-10 - 1.4634342240417910979e-5176j | 2.42e-316, 1.6e-1816j | 
| 3.0337908488197870697e-77 - 1.5317959064605598504e-5212j | 1.05e-361, 6.91e-1862j | 
| 8.6789852093231888139e-30 + 1.0534177632347805365e-5186j | 8.77e-335, 5.78e-1835j | 
| 3.5440561798662564848e-05 + 2.3802716241558605953e-5173j | 2.61e-307, 1.72e-1807j | 
| 0.12458030258570810118 + 4.4121104991594596994e-5171j | 1.31e-288, 8.66e-1789j | 
| 5.0687206034999643831e-61 + 5.0532012192360447791e-5204j | 1.7e-353, 1.12e-1853j | 
| 1.100816288362757827e-20 + 1.8823033171411917375e-5182j | 1.22e-329, 8.02e-1830j | 
| 0.13033796544384700961 - 3.5506708392556472967e-5171j | 2.03e-293, 1.33e-1793j | 
| 2.3677702089347614498e-94 - 2.0531975219016249714e-5221j | 1.74e-370, 1.15e-1870j | 
| 1.4413826557817760532e-36 + 1.7194982317912379623e-5190j | 1e-339, 6.6e-1840j | 
| 0.0035303303169167852412 + 5.406836330228594732e-5172j | 8.84e-308, 5.83e-1808j | 
| 1.0966687428500653758e-19 - 6.132355513988195088e-5182j | 3.72e-329, 2.45e-1829j | 
| 1.3872049842575760401e-10 + 5.8868838740338938153e-5177j | 1.79e-322, 1.18e-1822j | 
| 1.6607574140978992025e-13 + 1.2501800267225246169e-5178j | 4.51e-326, 2.97e-1826j | 
| 0.0065689688269159189411 - 7.9557427812834336961e-5172j | 1.8e-310, 1.19e-1810j | 
| 0.011552165375336786237 + 1.182409605896473317e-5171j | 7.61e-310, 5.01e-1810j | 
| 5.4358831411816320682e-12 + 8.9583480643812350003e-5178j | 1.64e-324, 1.08e-1824j | 
| 1.3545247324198454156e-97 + 4.3542969897246500212e-5223j | 2.38e-373, 1.57e-1873j | 
| 1.0286830969164381896e-74 + 3.201861420850189575e-5211j | 3.09e-362, 2.03e-1862j | 
| 1.1270880940833693725e-08 - 8.5418752777045315822e-5176j | 4.9e-323, 3.23e-1823j | 
| 0.029685233605783223962 - 3.5535593246823902281e-5172j | 3.78e-314, 2.49e-1814j | 
| 0.040765155035682876264 - 4.3033436970996846926e-5171j | 3.51e-314, 2.31e-1814j | 
| 2.6412232524974803453e-14 - 4.5148648501801748676e-5179j | 4.09e-328, 2.7e-1828j | 
| 2.7107162253767165824e-44 - 5.5015926746011358568e-5195j | 9.19e-348, 6.05e-1848j | 
| 5.5527189079360627502e-25 + 1.3800647849009434673e-5184j | 3.34e-336, 2.2e-1836j | 
| 0.10094587947870593042 - 1.9732206201713129376e-5171j | 3.1e-319, 2.04e-1819j | 
| 0.12264822935101821501 + 2.7665679251547615388e-5171j | 3.48e-319, 2.29e-1819j | 
| 0.068076924502756252106 + 1.1381444593263699425e-5171j | 1.91e-319, 1.26e-1819j | 
| 5.980581246823739793e-57 + 7.388828908226728582e-5202j | 8.72e-355, 5.75e-1855j | 
| 1.1245387864237964476e-47 - 7.4711865720627311467e-5197j | 6.56e-350, 4.32e-1850j | 
All rules of Laguerre type can be downloaded here packed into a single file.