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) | 
|---|---|
| 317.59011488476793037 + 1.7403952393386281258e-4738j | 4e-2008, 4e-2008j | 
| 352.18984929852737535 + 1.8862582340773051178e-4742j | 5.62e-2012, 5.62e-2012j | 
| 270.92839536036693262 + 1.1375880821220790267e-4725j | 2.39e-2003, 2.39e-2003j | 
| 332.99129161150129735 + 8.8412414557286708015e-4741j | 8.64e-2010, 8.64e-2010j | 
| 119.93647922948129252 - 2.2464279081136546431e-4724j | 2.98e-1995, 2.98e-1995j | 
| 99.946150487231626991 + 8.5122856978899815906e-4729j | 8.13e-1996, 8.13e-1996j | 
| 27.676775059692336073 - 4.1142392776664060587e-4742j | 6.63e-2008, 6.63e-2008j | 
| 111.63139837262768996 + 1.6446821755850843715e-4727j | 2.07e-1995, 2.07e-1995j | 
| 552.88976792895439486 - 2.334293336647688684e-4759j | 1e-2022, 1e-2022j | 
| 31.312176412343009671 + 5.8797670645155153647e-4741j | 1.64e-2006, 1.64e-2006j | 
| 157.93052741281135787 + 1.7978716282298104676e-4728j | 1.14e-1995, 1.14e-1995j | 
| 14.239863418570644992 - 2.201974726139911551e-4786j | 3.92e-2015, 3.92e-2015j | 
| 152.71331011601296655 - 3.3420153790569546325e-4765j | 1.59e-1995, 1.59e-1995j | 
| 147.64109100294968929 + 3.9717537131261806178e-4809j | 2.08e-1995, 2.08e-1995j | 
| 304.2201648876534327 + 3.6523708432409298695e-4835j | 1.19e-2006, 1.19e-2006j | 
| 96.245491371207036668 - 5.6809302782635595515e-4872j | 5.09e-1996, 5.09e-1996j | 
| 220.08464402016978336 - 4.0913373670721008746e-4941j | 4.61e-1999, 4.61e-1999j | 
| 115.73035071708844794 + 1.7610779454972323086e-5003j | 2.55e-1995, 2.55e-1995j | 
| 85.692024100469685094 - 6.5940636488691179452e-5074j | 1.1e-1996, 1.1e-1996j | 
| 205.90759115870744922 + 9.2882723601780791832e-5155j | 4.47e-1998, 4.47e-1998j | 
| 186.46191213445592111 + 1.1327652566796278413e-5212j | 7.01e-1997, 7.01e-1997j | 
| 13.032384853935393168 + 8.3893251250347917774e-5257j | 5.33e-2016, 5.33e-2016j | 
| 61.223571306948054694 + 7.097386530858800478e-5242j | 2.47e-1999, 2.47e-1999j | 
| 6.945214586009265537 - 2.7491295510380211923e-5263j | 1.02e-2021, 1.02e-2021j | 
| 58.511254678875725798 - 4.4187336343511251895e-5240j | 8.5e-2000, 8.5e-2000j | 
| 82.349758594122986705 + 5.9122536261639278031e-5237j | 6.22e-1997, 6.22e-1997j | 
| 50.804013994033881996 - 1.4553073075462747195e-5242j | 3.13e-2001, 3.13e-2001j | 
| 53.302621155538573443 - 9.7341863607374241765e-5241j | 9.52e-2001, 9.52e-2001j | 
| 10.783983537612461873 - 6.4210803343970698207e-5258j | 7.73e-2018, 7.73e-2018j | 
| 8.7556033911205710078 - 5.6235726188026731156e-5260j | 9.18e-2020, 9.18e-2020j | 
| 75.916783445818142118 + 5.8142017949279423342e-5238j | 1.55e-1997, 1.55e-1997j | 
| 69.807584476077954656 + 2.3843526720265185905e-5239j | 3.32e-1998, 3.32e-1998j | 
| 261.32106612431188952 + 1.5498870195553474602e-5234j | 1.92e-2002, 1.92e-2002j | 
| 163.299658951112062 + 2.7049922843851242667e-5256j | 7.21e-1996, 7.21e-1996j | 
| 174.52510758362856624 + 4.6770515737588486385e-5309j | 2.65e-1996, 2.65e-1996j | 
| 235.44265439776741461 - 7.7740097707814359242e-5356j | 3.06e-2000, 3.06e-2000j | 
| 37.228630735715199611 - 5.2494467486564516729e-5408j | 1.4e-2004, 1.4e-2004j | 
| 292.199584431538993 - 1.0671014578071517385e-5397j | 1.94e-2005, 1.94e-2005j | 
| 212.86163648018009899 + 2.1081335524193148614e-5462j | 1.51e-1998, 1.51e-1998j | 
| 35.193782620170565436 + 1.2826889852510538272e-5517j | 3.29e-2005, 3.29e-2005j | 
| 66.870395894441474543 + 9.0405254217702006297e-5507j | 1.49e-1998, 1.49e-1998j | 
| 29.464027122644349187 - 4.0554678100581983761e-5542j | 3.33e-2007, 3.33e-2007j | 
| 227.60165613600592491 + 9.9232959556010018763e-5545j | 1.24e-1999, 1.24e-1999j | 
| 168.82835325423315369 - 7.8176267365749052238e-5607j | 4.63e-1996, 4.63e-1996j | 
| 252.25115744777198333 + 1.8968743612569482605e-5652j | 1.2e-2001, 1.2e-2001j | 
| 243.64409838701002481 + 1.9475427650673341545e-5682j | 6.5e-2001, 6.5e-2001j | 
| 103.7422279673280343 + 2.2519214506699388002e-5696j | 1.18e-1995, 1.18e-1995j | 
| 19.633487210075017573 - 2.4969209900169400298e-5718j | 1.01e-2011, 1.01e-2011j | 
| 7.8232631436879996743 + 1.0991680727918857317e-5727j | 9.65e-2021, 9.65e-2021j | 
| 9.7424307354454711666 + 1.299546566723237655e-5725j | 8.4e-2019, 8.4e-2019j | 
| 41.490161784657366777 - 2.5112784907505111839e-5710j | 2.16e-2003, 2.16e-2003j | 
| 15.503323299699071135 - 3.1290022249827986889e-5721j | 2.96e-2014, 2.96e-2014j | 
| 24.282534290305609692 + 3.0676933531015536766e-5717j | 2.22e-2009, 2.22e-2009j | 
| 1.3137141414389586307 + 1.7654173157282442927e-5739j | 7.43e-2032, 7.43e-2032j | 
| 16.82314208000715135 + 2.3103899597089923801e-5721j | 2.18e-2013, 2.18e-2013j | 
| 92.637774900008496855 - 5.8192179638893116446e-5701j | 3.37e-1996, 3.37e-1996j | 
| 124.25328528609447574 + 2.1764379949812103307e-5730j | 3.24e-1995, 3.24e-1995j | 
| 18.199721424708616989 - 1.0376260486148224979e-5821j | 1.53e-2012, 1.53e-2012j | 
| 128.68454427534785305 - 9.1129368131639512856e-5804j | 3.18e-1995, 3.18e-1995j | 
| 0.71799578036547408963 + 6.2374414556284980056e-5941j | 1.55e-2034, 1.55e-2034j | 
| 2.8231993363630474636 - 8.0663892637570292453e-5935j | 6.34e-2028, 6.34e-2028j | 
| 107.6363678001240399 - 2.8651646465006339277e-5900j | 1.57e-1995, 1.57e-1995j | 
| 33.221868747855821662 - 5.1759201374251415329e-5961j | 7.62e-2006, 7.62e-2006j | 
| 89.120679317598471096 - 9.1485902339937684044e-5977j | 1.93e-1996, 1.93e-1996j | 
| 0.010091689761395037036 - 1.0666082784824648707e-6152j | 7.61e-2042, 7.61e-2042j | 
| 48.374447907301881392 + 7.1593781148786096476e-6032j | 1.03e-2001, 1.03e-2001j | 
| 133.23433667574477113 - 6.4203227355695144098e-6113j | 3.22e-1995, 3.22e-1995j | 
| 55.871329508665023409 - 4.183864259471245289e-6237j | 2.73e-2000, 2.73e-2000j | 
| 180.399409666633995 + 2.0988021113085430208e-6353j | 1.43e-1996, 1.43e-1996j | 
| 0.28989639698332643349 - 1.0208600400438577377e-6478j | 2.06e-2037, 2.06e-2037j | 
| 25.949805655683656703 + 2.4644527832218106243e-6450j | 1.28e-2008, 1.28e-2008j | 
| 22.674405099914359673 + 1.8455061673207547119e-6451j | 3.7e-2010, 3.7e-2010j | 
| 3.369839231310923141 + 2.9507095190967373367e-6468j | 6.43e-2027, 6.43e-2027j | 
| 1.9477035373733721704 - 8.4837133036520022088e-6471j | 8.14e-2030, 8.14e-2030j | 
| 72.822535363070841927 - 6.4724707455338996414e-6436j | 7.3e-1998, 7.3e-1998j | 
| 46.012915069244519505 - 1.26346996795032761e-6478j | 2.95e-2002, 2.95e-2002j | 
| 4.6359749796468664348 - 7.1661437029847617819e-6549j | 7.99e-2025, 7.99e-2025j | 
| 5.3515382366058915559 - 2.2869289523550568458e-6540j | 8.67e-2024, 8.67e-2024j | 
| 192.72464952735310096 - 2.3859839436815981577e-6533j | 3.01e-1997, 3.01e-1997j | 
| 11.880534318949493652 + 1.6376532155293268644e-6595j | 6.16e-2017, 6.16e-2017j | 
| 1 + 3.0608878686696601597e-6610j | 3.47e-2033, 3.47e-2033j | 
| 3.9750451977263877168 + 4.2476182060207297128e-6603j | 6.96e-2026, 6.96e-2026j | 
| 79.091951840398252071 + 1.2255140843805670022e-6571j | 3.22e-1997, 3.22e-1997j | 
| 2.3430485557854043603 + 2.1168056972428043552e-6638j | 6.32e-2029, 6.32e-2029j | 
| 137.9070839547262478 + 1.4876553610438456929e-6602j | 2.97e-1995, 2.97e-1995j | 
| 39.327161690538651514 - 2.1538774650646442748e-6667j | 5.47e-2004, 5.47e-2004j | 
| 0.47995488196137318971 - 1.7793054570084562747e-6706j | 5.92e-2036, 5.92e-2036j | 
| 0.056897625001077184683 - 7.341695970195615813e-6711j | 2.91e-2040, 2.91e-2040j | 
| 281.17379903212781428 + 4.8895737310424131062e-6665j | 2.59e-2004, 2.59e-2004j | 
| 0.14904042532823102623 + 9.0627987588740266325e-6749j | 6.86e-2039, 6.86e-2039j | 
| 199.20131147353351044 + 1.2018498461497286645e-6703j | 1.28e-1997, 1.28e-1997j | 
| 1.6290166346465138076 + 2.7256000304081636598e-6754j | 1.1e-2030, 1.1e-2030j | 
| 21.124889898204191624 + 1.4746853169225819258e-6733j | 6.54e-2011, 6.54e-2011j | 
| 43.718456987764349778 - 1.5634786986605464148e-6725j | 8.4e-2003, 8.4e-2003j | 
| 142.70759024654766695 - 2.483632588888587474e-6716j | 2.6e-1995, 2.6e-1995j | 
| 64.009516875976787434 + 1.1069716548912740639e-6727j | 5.71e-1999, 5.71e-1999j | 
| 6.1213214894993684461 - 2.7238898296927877284e-6752j | 9.25e-2023, 9.25e-2023j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.6805890347057004119e-137 + 1.5590404663792435091e-4819j | 7.24e-349, 5.6e-1851j | 
| 2.5071976740417420505e-152 + 5.2447754123462426663e-4827j | 1.25e-353, 9.64e-1856j | 
| 2.1539043023591452316e-117 + 2.2564231036489878701e-4809j | 1.1e-343, 8.52e-1846j | 
| 4.0702935363468517479e-144 - 7.1830832139922197529e-4823j | 4.7e-351, 3.63e-1853j | 
| 3.4813392387046702471e-52 + 8.5429436563093348816e-4776j | 1.16e-312, 8.94e-1815j | 
| 1.4714016410652622641e-43 - 2.2322499088952935865e-4771j | 4.69e-306, 3.63e-1808j | 
| 1.6784320206573701138e-12 - 1.462250385211493017e-4754j | 1.06e-257, 8.21e-1760j | 
| 1.3371367764029075445e-48 + 3.7182269624296405899e-4774j | 4.63e-310, 3.58e-1812j | 
| 1.4236979631234835799e-207 - 5.2258735946186999281e-4854j | 8.89e-377, 6.88e-1879j | 
| 4.7334473083885300177e-14 - 1.763006720863773287e-4754j | 7.2e-264, 5.57e-1766j | 
| 1.3654013219126183261e-68 + 1.5112540199350674933e-4784j | 4.97e-325, 3.84e-1827j | 
| 8.0819546676837291829e-07 + 8.2995479616306915505e-4752j | 7.53e-238, 5.82e-1740j | 
| 2.4474909997223812742e-66 - 2.1512266567689261107e-4783j | 8.21e-324, 6.35e-1826j | 
| 3.7968250542549203051e-64 + 2.8437392921154946176e-4782j | 9.5e-323, 7.35e-1825j | 
| 9.5471722141070294822e-132 - 1.2516418786790828919e-4816j | 8.96e-352, 6.93e-1854j | 
| 5.8057400745966451311e-42 + 1.3055656633934819135e-4770j | 1.64e-308, 1.27e-1810j | 
| 1.9304290352390405369e-95 + 3.0615398370221438019e-4798j | 1.54e-340, 1.19e-1842j | 
| 2.276157806897993627e-50 - 5.5496847157859183273e-4775j | 1.82e-314, 1.41e-1816j | 
| 2.0606393943094046576e-37 - 2.8011650673767600623e-4768j | 1.57e-306, 1.22e-1808j | 
| 2.5685813803991363329e-89 + 3.988027823609150883e-4795j | 3.2e-338, 2.48e-1840j | 
| 6.46004408198216499e-81 - 7.6087082536468257373e-4791j | 2.21e-334, 1.71e-1836j | 
| 2.5813374224458555832e-06 - 1.5540005794138062628e-4751j | 2.5e-249, 1.93e-1751j | 
| 7.0811342319878226416e-27 - 1.2629292193613202961e-4762j | 8.29e-299, 6.41e-1801j | 
| 0.00081966774278138566372 - 4.6654416038466626968e-4750j | 1.4e-232, 1.09e-1734j | 
| 1.0383842514335066677e-25 + 5.5719510024399346137e-4762j | 1.39e-297, 1.08e-1799j | 
| 5.6810923159941458196e-36 + 1.6069235330209023769e-4767j | 1.86e-307, 1.44e-1809j | 
| 2.1267805468673014255e-22 - 4.101712904595335458e-4760j | 1.51e-294, 1.17e-1796j | 
| 1.7975569196777244102e-23 + 1.0018186580587139897e-4760j | 1.07e-295, 8.29e-1798j | 
| 2.2159232365333961171e-05 - 5.1555651112426435371e-4751j | 5.06e-251, 3.92e-1753j | 
| 0.00015120151198277956878 - 1.5972287317555448e-4750j | 2.07e-245, 1.6e-1747j | 
| 3.3567457441039368519e-33 + 4.762680021205824679e-4766j | 1.3e-306, 1.01e-1808j | 
| 1.4340294326953973001e-30 + 1.2290982162123433322e-4764j | 2.28e-304, 1.76e-1806j | 
| 3.0152500955608134282e-113 - 2.8345836884286629313e-4807j | 2.46e-353, 1.9e-1855j | 
| 6.5472990130600251426e-71 - 9.8342195638766147673e-4786j | 1.25e-333, 9.68e-1836j | 
| 9.266725876443212871e-76 - 3.2645728470486764307e-4788j | 7.55e-337, 5.84e-1839j | 
| 4.4919121037328271537e-102 + 1.309235318199179585e-4801j | 5.83e-350, 4.51e-1852j | 
| 1.403005833750599426e-16 - 1.6624454434438689668e-4756j | 3.7e-295, 2.86e-1797j | 
| 1.4429087421980039987e-126 + 5.175080223442557918e-4814j | 2.05e-359, 1.58e-1861j | 
| 2.5449987318744016606e-92 - 1.1811020586559298294e-4796j | 1.14e-345, 8.82e-1848j | 
| 1.0405706527903181961e-15 + 7.6568360079410776273e-4756j | 1.82e-295, 1.41e-1797j | 
| 2.634960134303886636e-29 - 5.9400040896470202158e-4764j | 9.49e-310, 7.34e-1812j | 
| 2.9069187292243912795e-13 + 5.47848438673296734e-4754j | 1.39e-291, 1.08e-1793j | 
| 1.093583146066245178e-98 - 6.860116287171893442e-4800j | 1.23e-348, 9.48e-1851j | 
| 2.6781563257645773603e-73 + 5.9083772337944557954e-4787j | 1.3e-337, 1e-1839j | 
| 2.4806343087331587233e-109 + 2.7294871519935668945e-4805j | 6.48e-354, 5.01e-1856j | 
| 1.2905576472317887781e-105 - 2.0900956905838275029e-4803j | 2.97e-352, 2.3e-1854j | 
| 3.3898464322220502057e-45 + 1.764768943786856141e-4772j | 4.35e-325, 3.36e-1827j | 
| 4.3489340616483204453e-09 + 5.4830855449320120734e-4753j | 8.97e-292, 6.94e-1794j | 
| 0.00036234998102805062182 + 2.7476362756434008878e-4750j | 2.57e-273, 1.99e-1775j | 
| 5.956856318551888032e-05 + 9.1481337915051580734e-4751j | 3.48e-277, 2.69e-1779j | 
| 2.1017759886075412872e-18 - 1.0033136548026222522e-4757j | 2.17e-306, 1.68e-1808j | 
| 2.3884253156228219495e-07 - 4.3478566352572515341e-4752j | 3.38e-287, 2.61e-1789j | 
| 4.6605784852758544127e-11 - 3.8631174083466431337e-4754j | 1.36e-296, 1.05e-1798j | 
| 0.086265409740376916259 - 3.4370591676752866801e-4748j | 1.78e-249, 1.38e-1751j | 
| 6.6609171965385471387e-08 + 2.2320191008946546119e-4752j | 2.95e-289, 2.28e-1791j | 
| 2.0874845449682064917e-40 - 7.784326272425044449e-4770j | 6.24e-324, 4.83e-1826j | 
| 4.7676125563666195646e-54 - 2.9148586898419053971e-4777j | 5.35e-333, 4.14e-1835j | 
| 1.7525422982628474512e-08 - 1.1208371227909734594e-4752j | 1.01e-293, 7.81e-1796j | 
| 5.8242673032021348832e-56 + 4.0157040986250388136e-4778j | 1.2e-334, 9.26e-1837j | 
| 0.12733577456626377902 - 2.1872239037557509831e-4748j | 8.2e-261, 6.34e-1763j | 
| 0.030625890731081265472 - 1.0888248138338382524e-4748j | 2.77e-272, 2.15e-1774j | 
| 7.0805511055802520688e-47 - 2.7128295815954904482e-4773j | 1.14e-328, 8.82e-1831j | 
| 7.2423793851536956163e-15 - 4.6900263090807556903e-4755j | 2.07e-306, 1.6e-1808j | 
| 6.8552910773462966269e-39 + 4.726429034181197364e-4769j | 1.41e-324, 1.09e-1826j | 
| 0.026185384164954264754 + 2.3747620908780797741e-4749j | 1.62e-268, 1.25e-1770j | 
| 2.3475759990930710445e-21 + 1.6473607787117647978e-4759j | 1.41e-314, 1.09e-1816j | 
| 6.321367610745622556e-58 - 4.2184510781071167922e-4779j | 1.65e-336, 1.28e-1838j | 
| 1.4159629706655395777e-24 - 2.3924406033811588088e-4761j | 7.86e-317, 6.08e-1819j | 
| 2.6869087928609060616e-78 + 1.6514080338155126927e-4789j | 5.33e-347, 4.13e-1849j | 
| 0.12386667845337031653 - 1.4737091262950435091e-4748j | 1.28e-275, 9.91e-1778j | 
| 9.1165587559242001885e-12 - 1.2265904016680011305e-4754j | 5.23e-306, 4.05e-1808j | 
| 2.2435751074986078461e-10 + 1.132765858779758519e-4753j | 7.53e-305, 5.82e-1807j | 
| 0.019833811638097770177 + 6.2050533336968002449e-4749j | 3.71e-289, 2.87e-1791j | 
| 0.049609316661139528257 - 3.2602949568748629134e-4748j | 2.71e-284, 2.1e-1786j | 
| 7.2192423282383748735e-32 - 2.4608524644415681328e-4765j | 2.46e-322, 1.9e-1824j | 
| 2.4199029915692774355e-20 - 6.5185349745498109149e-4759j | 3.73e-315, 2.88e-1817j | 
| 0.0066747184760552585922 + 2.1776019797857305822e-4749j | 2.84e-294, 2.19e-1796j | 
| 0.0035210778764875654324 - 1.3078106848596474162e-4749j | 2.43e-295, 1.88e-1797j | 
| 1.2726267683540432089e-83 + 3.174226687982272119e-4792j | 7.2e-351, 5.57e-1853j | 
| 7.7834659393221092098e-06 + 2.8560275382684245229e-4751j | 1.33e-301, 1.03e-1803j | 
| 0.11078126903012505101 + 2.7041667227370095132e-4748j | 2.71e-289, 2.1e-1791j | 
| 0.011893136554711170214 - 3.6457600419705630176e-4749j | 2.51e-295, 1.94e-1797j | 
| 1.4392752267637626967e-34 - 8.9032273017487229204e-4767j | 2.06e-324, 1.59e-1826j | 
| 0.042406284418967180428 + 1.968776281009221993e-4748j | 1.9e-294, 1.47e-1796j | 
| 6.0688588095375281527e-60 + 3.9948927016127963673e-4780j | 3.23e-339, 2.5e-1841j | 
| 1.7739402129613900932e-17 + 3.9979062521483484788e-4757j | 1.78e-315, 1.38e-1817j | 
| 0.13267727077862210246 + 1.8075616275937777619e-4748j | 1.96e-295, 1.52e-1797j | 
| 0.064752748009387641356 - 7.054021723099508061e-4749j | 2.3e-295, 1.78e-1797j | 
| 8.1916950375159502645e-122 - 1.3102448990971248588e-4811j | 4.68e-370, 3.62e-1872j | 
| 0.10015581044766422884 + 1.1225694954751526586e-4748j | 1.21e-297, 9.39e-1800j | 
| 2.0265963222980252116e-86 - 1.1909920619997546698e-4793j | 1.49e-352, 1.16e-1854j | 
| 0.060239464464020693123 + 3.9199800594255370351e-4748j | 6.45e-301, 4.99e-1803j | 
| 1.0174857457087653569e-09 - 2.5845882120533283491e-4753j | 2.23e-311, 1.73e-1813j | 
| 2.3316309301138910152e-19 + 2.5568499064572397599e-4758j | 5.21e-318, 4.03e-1820j | 
| 5.1293386518055090226e-62 - 3.4960821734873336855e-4781j | 1.12e-340, 8.63e-1843j | 
| 4.4849746759987337603e-28 + 2.7809416202290963345e-4763j | 4.22e-323, 3.27e-1825j | 
| 0.0017495053328525893055 + 7.838767409008333512e-4750j | 1.04e-308, 8.01e-1811j | 
All rules of Laguerre type can be downloaded here packed into a single file.