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) | 
|---|---|
| 272.22476625068551777 + 5.8623134643527616383e-5954j | 2.72e-2012, 2.72e-2012j | 
| 286.91477482855489136 + 1.2435948891999805071e-5955j | 6.56e-2014, 6.56e-2014j | 
| 259.50326376637761742 - 1.0598944971006684693e-5952j | 6.16e-2011, 6.16e-2011j | 
| 248.09148963266441519 + 4.4748956479644941042e-5948j | 8.74e-2010, 8.74e-2010j | 
| 31.62715047588198788 - 2.3762354229138529662e-5951j | 2.43e-2009, 2.43e-2009j | 
| 218.89795404113943654 - 7.15019795129316118e-5943j | 6.18e-2007, 6.18e-2007j | 
| 25.861536155815469089 - 1.1129757729577457873e-5961j | 2.92e-2011, 2.92e-2011j | 
| 47.682412305208092454 + 1.1497451497539663926e-5954j | 1.23e-2005, 1.23e-2005j | 
| 305.27827597242023374 + 6.0762179364827708286e-5965j | 4.99e-2016, 4.99e-2016j | 
| 187.24526890381813488 + 5.0939647394614951435e-5950j | 2.15e-2004, 2.15e-2004j | 
| 52.982069616107960866 + 4.2020346566049430727e-5970j | 8.94e-2005, 8.94e-2005j | 
| 27.712133258840581071 + 2.4272109697724313713e-5985j | 1.31e-2010, 1.31e-2010j | 
| 194.58219995001231444 + 1.1083381238535822245e-5975j | 6.27e-2005, 6.27e-2005j | 
| 167.02945357771354599 + 2.3260620455597665545e-6004j | 4.34e-2003, 4.34e-2003j | 
| 70.969008861696011203 - 1.1481995115733478306e-6018j | 9.77e-2003, 9.77e-2003j | 
| 64.610205150629561136 + 2.2788361015810671114e-6031j | 2.37e-2003, 2.37e-2003j | 
| 7.9941695450456519217 - 6.7256385136420405912e-6072j | 3.29e-2021, 3.29e-2021j | 
| 237.64665756440999901 - 2.9634942289132686309e-6052j | 1e-2008, 1e-2008j | 
| 45.155413863670967175 - 3.4294229036869856972e-6068j | 4.14e-2006, 4.14e-2006j | 
| 92.453637157107439888 - 1.8223892290074687952e-6090j | 1.58e-2001, 1.58e-2001j | 
| 22.369893725483350088 - 2.564682682788083384e-6136j | 1.26e-2012, 1.26e-2012j | 
| 38.048690499494586183 + 6.218002717756240339e-6131j | 1.25e-2007, 1.25e-2007j | 
| 42.708353642414782903 - 6.2134549625719907363e-6127j | 1.33e-2006, 1.33e-2006j | 
| 50.290788631646524711 - 2.5714379781723921334e-6125j | 3.16e-2005, 3.16e-2005j | 
| 7.1463500870587844155 + 1.4223882646911463305e-6169j | 6.58e-2022, 6.58e-2022j | 
| 19.152582638049136148 - 3.5094758518670695171e-6160j | 4.22e-2014, 4.22e-2014j | 
| 4.4339224937276882507 + 9.1959727964635035926e-6171j | 1.07e-2025, 1.07e-2025j | 
| 3.7670518801760032193 - 1.7089470188333788291e-6170j | 7.25e-2027, 7.25e-2027j | 
| 13.521127818787229495 - 1.8656891203825934109e-6161j | 3.6e-2017, 3.6e-2017j | 
| 154.81134766235914423 + 1.1862498151244045595e-6151j | 1.98e-2002, 1.98e-2002j | 
| 118.10756667097796266 - 8.6594441256697457374e-6184j | 2.65e-2001, 2.65e-2001j | 
| 2.0922302637524109205 - 3.6087649168221206197e-6244j | 2.81e-2030, 2.81e-2030j | 
| 3.1514874829424072511 + 1.9762059416973719336e-6241j | 5.19e-2028, 5.19e-2028j | 
| 11.101487310800074141 + 4.863128035575771888e-6234j | 8.34e-2019, 8.34e-2019j | 
| 138.03886632165103442 + 2.7621390345279295324e-6214j | 9.74e-2002, 9.74e-2002j | 
| 149.02655582864158567 - 3.9581534308385157383e-6257j | 3.59e-2002, 3.59e-2002j | 
| 100.49914382689309411 + 2.0487163116012049708e-6323j | 2.49e-2001, 2.49e-2001j | 
| 0.76470589856967243815 - 1.543528311786771535e-6400j | 2.5e-2034, 2.5e-2034j | 
| 173.49554871192439752 + 9.6381700490465454768e-6411j | 1.74e-2003, 1.74e-2003j | 
| 29.633702128513509863 - 4.9227577474565258355e-6461j | 6.09e-2010, 6.09e-2010j | 
| 6.4632963906109424368 + 8.5650978499071771878e-6493j | 1.29e-2022, 1.29e-2022j | 
| 127.7558421596681751 - 6.3942944593420547901e-6487j | 1.92e-2001, 1.92e-2001j | 
| 1 - 3.5773957299069235917e-6562j | 2.33e-2033, 2.33e-2033j | 
| 55.757875574570681211 + 3.303300824124095228e-6530j | 2.06e-2004, 2.06e-2004j | 
| 9.9919511797816359102 - 6.8444048840144597786e-6579j | 1.19e-2019, 1.19e-2019j | 
| 104.70444859290825409 + 2.7221047697158563215e-6559j | 2.81e-2001, 2.81e-2001j | 
| 33.693441153968080347 - 1.8845705286586325268e-6587j | 9.58e-2009, 9.58e-2009j | 
| 12.278264571859375733 - 1.9907240692566673783e-6596j | 5.26e-2018, 5.26e-2018j | 
| 61.57005501489733754 + 9.5040835305565266639e-6582j | 1.13e-2003, 1.13e-2003j | 
| 5.8369366159987989437 - 2.4818381814944975176e-6603j | 1.98e-2023, 1.98e-2023j | 
| 14.829781217182764814 + 4.5725492244023553231e-6595j | 2.01e-2016, 2.01e-2016j | 
| 227.9613792634901416 + 3.3277659137498043305e-6579j | 8.06e-2008, 8.06e-2008j | 
| 122.85616211884069264 - 1.7311747987989413407e-6580j | 2.37e-2001, 2.37e-2001j | 
| 17.645113022307339026 - 5.9093398240383280369e-6603j | 7.65e-2015, 7.65e-2015j | 
| 2.5922508199253002476 - 1.5722888971564888428e-6617j | 4.11e-2029, 4.11e-2029j | 
| 160.80724665288180053 - 2.5830132217285807372e-6589j | 9.72e-2003, 9.72e-2003j | 
| 202.27217821846433163 - 1.8331172098210320308e-6595j | 1.54e-2005, 1.54e-2005j | 
| 143.43961302822972152 - 1.8168339573073474363e-6600j | 6.1e-2002, 6.1e-2002j | 
| 40.339873282470256071 + 1.3251555943045498265e-6633j | 4.15e-2007, 4.15e-2007j | 
| 8.9529512477548957267 - 2.0614737402027811593e-6646j | 1.9e-2020, 1.9e-2020j | 
| 20.727299570388002186 + 1.3815907207592217457e-6639j | 2.29e-2013, 2.29e-2013j | 
| 0.18296039898248679851 + 4.341866144646505045e-6664j | 1.48e-2038, 1.48e-2038j | 
| 81.239006060216268065 + 1.999104706402073359e-6626j | 5.86e-2002, 5.86e-2002j | 
| 84.868157832975825452 + 1.6759897283590872056e-6662j | 7.95e-2002, 7.95e-2002j | 
| 0.53973602342598203852 + 9.6767607396388857638e-6725j | 1.44e-2035, 1.44e-2035j | 
| 1.6549329645862336627 + 3.6051466519915582428e-6721j | 2.47e-2031, 2.47e-2031j | 
| 132.81400335812158938 + 6.5075301329153755981e-6690j | 1.37e-2001, 1.37e-2001j | 
| 74.292238242322591921 - 5.4738783312912502195e-6713j | 1.85e-2002, 1.85e-2002j | 
| 180.22606686269944514 + 1.3004260917787610113e-6755j | 6.52e-2004, 6.52e-2004j | 
| 16.204333603277455316 + 5.6288850996239146283e-6824j | 1.25e-2015, 1.25e-2015j | 
| 0.33995769867902066743 + 3.9131160889864103991e-6891j | 4.45e-2037, 4.45e-2037j | 
| 67.742452233277466584 - 8.2516838073313304049e-6880j | 5.06e-2003, 5.06e-2003j | 
| 96.416960075130903116 - 4.4441365801786880507e-7109j | 2.03e-2001, 2.03e-2001j | 
| 0.074123456429194222343 - 4.701242743235319707e-7262j | 4.18e-2040, 4.18e-2040j | 
| 77.714668050252372709 - 2.9222417614147133155e-7369j | 3.09e-2002, 3.09e-2002j | 
| 1.2877020380158689444 - 2.5403899061770271992e-7477j | 2.21e-2032, 2.21e-2032j | 
| 5.1384848875831238418 - 6.6185158086474837708e-7529j | 1.79e-2024, 1.79e-2024j | 
| 88.605246799660513243 - 1.4923432187484510072e-7685j | 1.17e-2001, 1.17e-2001j | 
| 113.5033706190168599 + 2.0883248064810742699e-7801j | 3e-2001, 3e-2001j | 
| 58.619927504513553496 + 6.0085029626163326346e-7857j | 5.14e-2004, 5.14e-2004j | 
| 24.081056704555856638 + 1.5831471609667619017e-7889j | 6.21e-2012, 6.21e-2012j | 
| 0.014013551812695936458 + 3.9086878607996984422e-7947j | 1.35e-2041, 1.35e-2041j | 
| 210.35895387004532251 - 6.6712382899599198597e-7905j | 3.19e-2006, 3.19e-2006j | 
| 35.833594377569694439 - 4.3638056764875774224e-7931j | 3.71e-2008, 3.71e-2008j | 
| 109.03750686678692289 + 1.5795773235144300687e-7934j | 2.97e-2001, 2.97e-2001j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 8.0591853004822601868e-118 - 2.3243190491393764395e-6021j | 4.61e-387, 6.59e-1895j | 
| 3.984937951872755267e-124 + 1.3504687679654290267e-6024j | 3.05e-389, 4.36e-1897j | 
| 2.3882410550924780686e-112 + 1.5059727594895894416e-6018j | 8.87e-386, 1.27e-1893j | 
| 1.9592436215621376485e-107 - 5.0820148387880753336e-6016j | 1.07e-384, 1.53e-1892j | 
| 3.7319502924717574903e-14 + 5.1703330104493580426e-5965j | 7.03e-317, 1.01e-1824j | 
| 7.5455107837144515382e-95 + 1.5772904475980105812e-6009j | 1.3e-381, 1.86e-1889j | 
| 1.0652461335321084123e-11 - 4.4320302853068854032e-5964j | 6.73e-311, 9.64e-1819j | 
| 5.026802473744735773e-21 + 7.0030986030370469374e-5970j | 4.94e-332, 7.08e-1840j | 
| 5.6750864155976302335e-132 - 1.2872233426691461625e-6028j | 2.45e-393, 3.5e-1901j | 
| 3.4363654728393786771e-81 + 1.894376881028773167e-6002j | 1.1e-377, 1.57e-1885j | 
| 2.6721529349549770052e-23 + 2.9326617118729079537e-5971j | 1.14e-337, 1.63e-1845j | 
| 1.7390034440160248492e-12 + 2.1925208962576430557e-5964j | 2.84e-316, 4.06e-1824j | 
| 2.3414663209189063709e-84 - 4.2886925809606864301e-6004j | 7.99e-379, 1.14e-1886j | 
| 1.8288897409319447588e-72 - 6.6883032018083291023e-5998j | 3.88e-375, 5.55e-1883j | 
| 4.9396274190870385884e-31 + 1.0304353927219228613e-5975j | 2.79e-349, 4e-1857j | 
| 2.6885497637228792229e-28 + 3.6369710171102902596e-5974j | 4e-346, 5.73e-1854j | 
| 0.00030758476293533510425 + 2.9489695940997320184e-5959j | 4.76e-287, 6.81e-1795j | 
| 6.2086850447510248551e-103 + 1.0586328433748362254e-6013j | 1.66e-385, 2.38e-1893j | 
| 6.0938695277185871397e-20 - 3.3272107949927114744e-5969j | 5.23e-335, 7.48e-1843j | 
| 2.751325153429695435e-40 + 8.0687886868395344455e-5981j | 4.58e-359, 6.56e-1867j | 
| 3.2310904236538579305e-10 - 2.2525012062484001189e-5963j | 2.68e-317, 3.84e-1825j | 
| 6.7361840743646994447e-17 + 3.6235474099473987826e-5967j | 2.97e-331, 4.25e-1839j | 
| 6.8166825540579859734e-19 + 1.5676653171279448964e-5968j | 4.52e-334, 6.46e-1842j | 
| 3.8208751858084058658e-22 - 1.4494345892729408162e-5970j | 1.32e-338, 1.89e-1846j | 
| 0.00060772134887048126734 - 7.5735125433662455828e-5959j | 3.38e-292, 4.83e-1800j | 
| 7.4120775604731516211e-09 - 1.2330545416054447102e-5962j | 4.88e-316, 6.99e-1824j | 
| 0.00818115379863501651 - 2.4334128298872065691e-5958j | 1.11e-281, 1.59e-1789j | 
| 0.01485294605055167468 + 3.0543856182214144595e-5958j | 5.42e-278, 7.75e-1786j | 
| 1.7124563634193572011e-06 - 3.6401806711835604962e-5961j | 8.49e-309, 1.21e-1816j | 
| 3.4375797401032027841e-67 - 3.8560956005441128059e-5995j | 2.78e-377, 3.98e-1885j | 
| 2.3787474772825214336e-51 + 9.0124763888551032511e-5987j | 2.42e-370, 3.46e-1878j | 
| 0.05793281196851749182 - 8.3095568932469294667e-5958j | 9.62e-271, 1.38e-1778j | 
| 0.025157465034410530477 - 4.0735429064725778595e-5958j | 3.69e-279, 5.28e-1787j | 
| 1.7254670846212112555e-05 - 1.9764750515463958987e-5960j | 1.28e-307, 1.83e-1815j | 
| 5.9658677814610288126e-60 + 2.4795436561116770541e-5991j | 5.95e-375, 8.52e-1883j | 
| 1.0795133851252161758e-64 + 7.8887998038797390038e-5994j | 8.42e-377, 1.2e-1884j | 
| 9.3560346389655033943e-44 + 1.0651105106018930676e-5982j | 9.32e-367, 1.33e-1874j | 
| 0.1064813631727957852 - 2.5719345037456310176e-5957j | 3.64e-278, 5.2e-1786j | 
| 2.9582116294218331217e-75 + 2.3341230161051579614e-5999j | 1.01e-381, 1.45e-1889j | 
| 2.6418964840841555293e-13 - 1.4050225401513276659e-5964j | 5.46e-334, 7.81e-1842j | 
| 0.00095722630084749010854 + 1.4714777849492729048e-5958j | 2.45e-304, 3.5e-1812j | 
| 1.6344240603638329559e-55 + 5.5176688745038788051e-5989j | 1.79e-373, 2.56e-1881j | 
| 0.092498758612100639753 + 2.6459873065602065747e-5957j | 3.63e-278, 5.19e-1786j | 
| 1.7167256645645215603e-24 - 5.7757522582955968739e-5972j | 3.94e-350, 5.63e-1858j | 
| 4.9204718714055181129e-05 + 4.6969496488206150668e-5960j | 1.31e-315, 1.87e-1823j | 
| 1.4377998463543635521e-45 - 1.1224499443687947472e-5983j | 1.87e-368, 2.68e-1876j | 
| 4.8974883331982043966e-15 + 1.3172459890803600991e-5965j | 8.62e-339, 1.23e-1846j | 
| 5.6282531949150220705e-06 + 8.4533686721141486442e-5961j | 8.94e-321, 1.28e-1828j | 
| 5.455483782782116856e-27 - 2.0393510963125125638e-5973j | 1.54e-353, 2.21e-1861j | 
| 0.0019453343873444832891 - 1.9330179690061840404e-5958j | 1.84e-309, 2.63e-1817j | 
| 4.8654027541076824287e-07 + 1.5689628326554103496e-5961j | 4.38e-325, 6.27e-1833j | 
| 9.3045218818534683702e-99 - 1.5092416197382627558e-6011j | 4.14e-393, 5.93e-1901j | 
| 2.1259892988342625346e-53 - 7.3152305024437797399e-5988j | 5.55e-373, 7.95e-1881j | 
| 3.2013534420336650918e-08 + 2.8890952139116389787e-5962j | 6.39e-331, 9.14e-1839j | 
| 0.039677188569475764846 + 5.6924173494023397432e-5958j | 1.38e-305, 1.98e-1813j | 
| 8.8732138746215211899e-70 + 1.698376951907179797e-5996j | 1.26e-380, 1.81e-1888j | 
| 1.1242135650198841289e-87 + 8.1433743031877864615e-6006j | 1.93e-389, 2.76e-1897j | 
| 2.7841963063290147754e-62 - 1.4640529979473030995e-5992j | 2.12e-377, 3.04e-1885j | 
| 7.0453318778837147515e-18 - 7.425150776047328272e-5968j | 1.31e-347, 1.88e-1855j | 
| 0.00012954538079080787621 - 1.1507231432490919212e-5959j | 7.65e-326, 1.09e-1833j | 
| 1.602069787504391103e-09 + 5.257749542920948038e-5963j | 2.07e-337, 2.97e-1845j | 
| 0.11096440235088405659 + 7.4946832948556110729e-5958j | 2.95e-310, 4.22e-1818j | 
| 1.8697132096795444603e-35 - 3.5729345025689777573e-5978j | 4.58e-366, 6.56e-1874j | 
| 5.1095142972688923048e-37 + 4.9292711003512550748e-5979j | 3.66e-367, 5.24e-1875j | 
| 0.12631987550621331906 + 1.8736663326760440192e-5957j | 6.8e-316, 9.74e-1824j | 
| 0.077209798279161673029 + 1.2689907431727398567e-5957j | 9.47e-319, 1.35e-1826j | 
| 1.0729512616105920746e-57 - 3.8525935658149160375e-5990j | 6.38e-377, 9.13e-1885j | 
| 1.8332815722392048527e-32 - 1.6304678470467058452e-5976j | 2.21e-364, 3.17e-1872j | 
| 3.679589957696703349e-78 - 7.1440898980480545866e-6001j | 3.73e-387, 5.34e-1895j | 
| 1.2912966081276031646e-07 - 6.7457680180860543249e-5962j | 3.4e-341, 4.87e-1849j | 
| 0.12811781983020056281 - 1.2252741229794685424e-5957j | 1.28e-325, 1.83e-1833j | 
| 1.2081481623413406364e-29 - 6.2451997010568683623e-5975j | 2.43e-362, 3.48e-1870j | 
| 5.3838895386524160322e-42 - 9.5337386713373455192e-5982j | 9.8e-371, 1.4e-1878j | 
| 0.078357010591255723123 - 3.8312353655224510477e-5958j | 1.22e-330, 1.74e-1838j | 
| 6.1608817999492094913e-34 + 2.4693887086467304848e-5977j | 6.31e-366, 9.04e-1874j | 
| 0.090543108879429180121 - 1.9718442178415674323e-5957j | 4.17e-333, 5.97e-1841j | 
| 0.0041845675899837863837 + 2.108767479186266878e-5958j | 3.27e-338, 4.68e-1846j | 
| 1.253477754492838505e-38 - 6.4715155839038107736e-5980j | 5.75e-369, 8.23e-1877j | 
| 2.3046252244647316422e-49 - 1.0354469618710369787e-5985j | 9.62e-376, 1.38e-1883j | 
| 1.0114652912153037784e-25 + 1.1034699493402844508e-5972j | 1.87e-362, 2.67e-1870j | 
| 6.0771170527931554414e-11 + 9.8032400075128458421e-5964j | 4.7e-353, 6.73e-1861j | 
| 0.035499860392280848465 + 1.1075309005509025826e-5958j | 7.35e-343, 1.05e-1850j | 
| 3.643125145713211074e-91 - 1.2686989246044287642e-6007j | 1.74e-397, 2.49e-1905j | 
| 5.9650457848431788768e-16 - 1.9233553122076947162e-5966j | 2.43e-357, 3.47e-1865j | 
| 1.945024540382044224e-47 + 1.1129461425750299204e-5984j | 8.54e-375, 1.22e-1882j | 
All rules of Laguerre type can be downloaded here packed into a single file.