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) | 
|---|---|
| 305.69452693522917101 - 1.1552635718660873834e-6034j | 2.01e-2012, 2.01e-2012j | 
| 265.96391792199993691 + 3.8058643590116709328e-6030j | 4.1e-2008, 4.1e-2008j | 
| 255.25633467836748893 - 3.2811476831609605687e-6029j | 5.07e-2007, 5.07e-2007j | 
| 277.65319193070868505 - 7.1910904453795426196e-6032j | 2.61e-2009, 2.61e-2009j | 
| 85.803174358556022983 + 1.0708396541521325212e-6019j | 1.69e-1999, 1.69e-1999j | 
| 89.425670272895336696 - 1.7186910434452043885e-6028j | 2.6e-1999, 2.6e-1999j | 
| 324.45413645493831334 + 5.7618770332584766922e-6060j | 1.29e-2014, 1.29e-2014j | 
| 203.44639017510660342 - 8.8360193128485386795e-6049j | 1.75e-2002, 1.75e-2002j | 
| 245.31936562759453937 - 2.1334492312959577234e-6075j | 4.69e-2006, 4.69e-2006j | 
| 176.15141706851962829 - 9.2162960150384510017e-6122j | 1.22e-2000, 1.22e-2000j | 
| 14.79287086189956479 + 1.1483086211111762745e-6191j | 1.31e-2014, 1.31e-2014j | 
| 211.00496739122382005 - 7.7543271933563408336e-6175j | 4.76e-2003, 4.76e-2003j | 
| 60.188731287458316061 - 1.7277149207629294457e-6208j | 1.07e-2001, 1.07e-2001j | 
| 141.8680097720844705 + 2.1572851390555699889e-6255j | 4.24e-1999, 4.24e-1999j | 
| 39.889533072129195882 + 1.891743599068493519e-6318j | 2.89e-2005, 2.89e-2005j | 
| 96.978674043678490616 - 9.2629472264371324379e-6312j | 5.17e-1999, 5.17e-1999j | 
| 16.084709557140512866 - 4.7569739751204582795e-6356j | 8.55e-2014, 8.55e-2014j | 
| 24.428022870772643214 + 1.5918254329258908032e-6351j | 1.17e-2009, 1.17e-2009j | 
| 51.994573330056185375 + 2.0546939636086920469e-6341j | 6.6e-2003, 6.6e-2003j | 
| 17.410438084598255983 + 1.2197262294114760352e-6364j | 5.65e-2013, 5.65e-2013j | 
| 290.67311949194941196 + 2.2866803862985799442e-6350j | 9.69e-2011, 9.69e-2011j | 
| 44.505381084225455872 - 8.7662738455855873867e-6382j | 2.77e-2004, 2.77e-2004j | 
| 13.54631847067413194 - 1.6062157914114685666e-6420j | 1.73e-2015, 1.73e-2015j | 
| 182.58424000860752157 - 2.3773103938297201816e-6492j | 4.91e-2001, 4.91e-2001j | 
| 93.149851720440567714 - 1.8681284138514283031e-6690j | 3.7e-1999, 3.7e-1999j | 
| 169.94678455371769859 + 5.3417883045096540266e-6860j | 2.61e-2000, 2.61e-2000j | 
| 33.517437383774929615 + 5.7083208019035559345e-6940j | 6.81e-2007, 6.81e-2007j | 
| 12.35199612685986194 - 1.3330299856851007235e-6972j | 2.59e-2016, 2.59e-2016j | 
| 147.12872118084602004 - 3.1491781962776328413e-7027j | 2.9e-1999, 2.9e-1999j | 
| 66.061516881562140812 + 1.2206339834326542202e-7136j | 4.87e-2001, 4.87e-2001j | 
| 113.40776644758494455 + 1.0927564041406286211e-7251j | 9.84e-1999, 9.84e-1999j | 
| 7.9509208918881512072 - 3.2252921441610182933e-7336j | 1.22e-2019, 1.22e-2019j | 
| 31.540312063501960501 + 1.3958266576596162796e-7321j | 1.91e-2007, 1.91e-2007j | 
| 10.144087188455837365 + 4.0564086047528991654e-7343j | 7.5e-2018, 7.5e-2018j | 
| 152.55702281791938853 - 8.8138918664198384267e-7360j | 1.82e-1999, 1.82e-1999j | 
| 63.083081917942735301 - 3.3606507305215291658e-7401j | 2.45e-2001, 2.45e-2001j | 
| 7.1182795564148503466 + 1.8579903875549330207e-7452j | 7.23e-2021, 7.23e-2021j | 
| 163.95488863415407965 + 1.3300393831093255455e-7434j | 5.9e-2000, 5.9e-2000j | 
| 29.638336760913198862 + 4.5204512844489242522e-7489j | 5.95e-2008, 5.95e-2008j | 
| 117.81278491745050091 + 1.2719616446219945756e-7478j | 1.01e-1998, 1.01e-1998j | 
| 218.92060051417497112 + 2.2338661349115724038e-7527j | 1.07e-2003, 1.07e-2003j | 
| 1.6737519139767177954 + 7.0459868078105928189e-7592j | 1.06e-2030, 1.06e-2030j | 
| 4.1002078196590017622 - 3.2271379675224106939e-7587j | 2.13e-2025, 2.13e-2025j | 
| 54.6459326295243715 - 3.3096512111313066342e-7560j | 1.75e-2002, 1.75e-2002j | 
| 158.16225044411524482 + 1.1137706325285860948e-7598j | 1e-1999, 1e-1999j | 
| 236.0128893978350698 - 1.190875197155818266e-7645j | 3.46e-2005, 3.46e-2005j | 
| 131.81675983350787738 + 3.6748040109452424285e-7677j | 7.24e-1999, 7.24e-1999j | 
| 49.421472584769959362 + 9.2725018584126281158e-7706j | 2.44e-2003, 2.44e-2003j | 
| 11.215220252174717318 + 2.8516911923815173852e-7719j | 4.22e-2017, 4.22e-2017j | 
| 20.095539333837580874 + 1.2185672161944640202e-7713j | 1.93e-2011, 1.93e-2011j | 
| 26.074466089446763895 - 1.0540049433865090066e-7711j | 4.19e-2009, 4.19e-2009j | 
| 196.20895428867183506 - 4.884170033489869062e-7701j | 6.04e-2002, 6.04e-2002j | 
| 75.519174737191624244 + 1.6029067252184905161e-7710j | 3.61e-2000, 3.61e-2000j | 
| 69.125761566419631191 - 3.5161155498362346064e-7714j | 1.07e-2000, 1.07e-2000j | 
| 37.692301862516275882 + 2.4452278440109631501e-7738j | 8.61e-2006, 8.61e-2006j | 
| 100.91531484648177706 - 6.6511753655666835502e-7731j | 6.81e-1999, 6.81e-1999j | 
| 2.0718527327016358395 - 4.5182480021814311903e-7807j | 1.57e-2029, 1.57e-2029j | 
| 22.887965149653082438 + 7.0792097897444955616e-7788j | 3.1e-2010, 3.1e-2010j | 
| 0.74055419263685543493 + 3.8589285261749580424e-7812j | 2.67e-2034, 2.67e-2034j | 
| 18.75251539166561618 + 6.5062323611924277909e-7790j | 3.33e-2012, 3.33e-2012j | 
| 6.2835064224773224016 - 5.0558361598092155645e-7800j | 4.6e-2022, 4.6e-2022j | 
| 2.5000206754193299535 + 1.163701657922242256e-7805j | 1.91e-2028, 1.91e-2028j | 
| 189.263126558989179 - 1.4359686664761433068e-7776j | 1.82e-2001, 1.82e-2001j | 
| 42.160350464991130548 + 4.3161235793775808372e-7817j | 9.63e-2005, 9.63e-2005j | 
| 2.969165807853543769 - 4.4227200613194027801e-7839j | 1.98e-2027, 1.98e-2027j | 
| 136.76652980146494175 - 1.7297542797659321255e-7809j | 5.29e-1999, 5.29e-1999j | 
| 8.5164777017183299349 - 3.551172276186641554e-7866j | 6.31e-2019, 6.31e-2019j | 
| 109.12601527440040259 - 8.2323065296362044752e-7845j | 9.7e-1999, 9.7e-1999j | 
| 104.96319703628073644 + 1.4652303311287627237e-7900j | 7.91e-1999, 7.91e-1999j | 
| 0.5252765299407710844 - 3.3326673111181452339e-7987j | 1.55e-2035, 1.55e-2035j | 
| 1 - 2.3796362785136210366e-7984j | 3.71e-2033, 3.71e-2033j | 
| 35.568277323507317843 - 1.59433500577444234e-7957j | 2.46e-2006, 2.46e-2006j | 
| 127.0119012543382932 - 2.3697309338788616475e-7948j | 8.61e-1999, 8.61e-1999j | 
| 9.1727921287267737614 - 1.0842915015696325118e-7990j | 1.72e-2018, 1.72e-2018j | 
| 46.925435925679186168 - 1.1239645604202137239e-7975j | 8.11e-2004, 8.11e-2004j | 
| 0.18807558052466950658 + 8.7377662188809833294e-8011j | 2.53e-2038, 2.53e-2038j | 
| 4.7673099177671066141 + 6.8081441089746080626e-7998j | 2.63e-2024, 2.63e-2024j | 
| 78.852410777586490239 + 1.8729451856908374786e-7970j | 6.28e-2000, 6.28e-2000j | 
| 57.376850727646399417 + 3.0243178103460332917e-7985j | 4.23e-2002, 4.23e-2002j | 
| 27.814499346567591071 - 6.3673607311147333286e-8005j | 1.47e-2008, 1.47e-2008j | 
| 1.312775374421956876 - 2.0076073343222647802e-8028j | 6.62e-2032, 6.62e-2032j | 
| 0.34035539027236206802 + 9.2732903998381059703e-8033j | 6.77e-2037, 6.77e-2037j | 
| 82.279610764067722788 + 3.9344250473634497659e-7994j | 1.05e-1999, 1.05e-1999j | 
| 5.4966763587415661649 + 8.877373624003715684e-8038j | 3.21e-2023, 3.21e-2023j | 
| 122.3457834867184007 - 1.4835742551212805278e-8012j | 9.82e-1999, 9.82e-1999j | 
| 72.277658491607025743 + 9.0585742141608367354e-8024j | 1.96e-2000, 1.96e-2000j | 
| 3.4999249477323155088 - 1.9145940667015842562e-8050j | 1.95e-2026, 1.95e-2026j | 
| 0.014838522071812053902 + 2.641253372889747604e-8066j | 1.29e-2041, 1.29e-2041j | 
| 21.455885401079092388 + 9.1180583776568531118e-8035j | 8.04e-2011, 8.04e-2011j | 
| 227.23778280673283337 - 1.2304315070100900771e-8028j | 1.99e-2004, 1.99e-2004j | 
| 0.077644024104282953764 - 3.9637809992586008565e-8064j | 6.69e-2040, 6.69e-2040j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.8442906410048767934e-132 - 3.1241206593824664418e-6108j | 5.46e-384, 2.51e-1888j | 
| 3.4738189197631829622e-115 + 2.2057200241477438965e-6099j | 7.25e-379, 3.32e-1883j | 
| 1.4327897651976681493e-110 - 5.5291264085829127392e-6097j | 1.17e-377, 5.38e-1882j | 
| 3.2056933008787279006e-120 - 5.3836603505899313345e-6102j | 9.96e-381, 4.57e-1885j | 
| 1.9459767035217589669e-37 - 1.1380969857918718583e-6056j | 9.64e-340, 4.42e-1844j | 
| 5.3447778570134256807e-39 - 8.0971621338175702133e-6058j | 2.8e-341, 1.28e-1845j | 
| 2.7230227445684496426e-140 + 2.2719490480807225653e-6112j | 1.68e-388, 7.73e-1893j | 
| 3.2595174540375901841e-88 - 2.7507689844961968029e-6085j | 4.84e-372, 2.22e-1876j | 
| 2.7639843955791587977e-106 + 9.425433921250175557e-6095j | 1.09e-377, 4.99e-1882j | 
| 1.9899925942462645377e-76 - 4.7592378611576589865e-6079j | 2.8e-368, 1.28e-1872j | 
| 4.781417174166487561e-07 + 8.8708814193469379066e-6040j | 4.61e-286, 2.11e-1790j | 
| 1.7779279550877238824e-91 + 5.2805375801479140556e-6087j | 2.22e-373, 1.02e-1877j | 
| 2.0684542191680313775e-26 - 1.1278181723339040793e-6051j | 4.59e-334, 2.1e-1838j | 
| 1.2642041767535332532e-61 - 4.3307884777587448174e-6071j | 4.52e-362, 2.08e-1866j | 
| 1.0599050522169577742e-17 - 9.0812650816567350535e-6047j | 9.19e-322, 4.22e-1826j | 
| 2.9632816409261868935e-42 - 4.4985265031927411652e-6060j | 4.13e-349, 1.89e-1853j | 
| 1.3557085894263972854e-07 - 4.1082105351551773458e-6040j | 5.2e-293, 2.38e-1797j | 
| 3.9254104128387253784e-11 - 2.1805583996860189676e-6042j | 5.07e-307, 2.33e-1811j | 
| 6.8552065272496091906e-23 + 9.2431310601726874019e-6050j | 2.26e-330, 1.04e-1834j | 
| 3.6724696458940446681e-08 + 1.9624567410644203646e-6040j | 2.92e-296, 1.34e-1800j | 
| 8.0197508372377074814e-126 + 6.7551611860659596429e-6105j | 2.18e-386, 9.98e-1891j | 
| 1.1183358378611271859e-19 - 6.165956071913471886e-6048j | 4.97e-326, 2.28e-1830j | 
| 1.5986512114189316002e-06 - 1.9920572691920900041e-6039j | 8.07e-291, 3.7e-1795j | 
| 3.3196241066154539513e-79 + 1.5892816090482714398e-6080j | 2.13e-370, 9.78e-1875j | 
| 1.3260637965150045674e-40 + 5.3577480547926130268e-6059j | 7.44e-349, 3.41e-1853j | 
| 9.5079013491253639037e-74 + 1.2756914804610207176e-6077j | 1.5e-368, 6.86e-1873j | 
| 5.5930616491402314055e-15 + 4.4537388941718882591e-6045j | 1.22e-321, 5.59e-1826j | 
| 5.0403711061623041392e-06 + 4.7011622667870973791e-6039j | 4.23e-294, 1.94e-1798j | 
| 6.770121334342201521e-64 + 2.5275868042149583196e-6072j | 6.11e-365, 2.8e-1869j | 
| 6.1660156006539546875e-29 - 5.4112727464490267524e-6053j | 8.59e-342, 3.94e-1846j | 
| 2.4287672119464961485e-49 - 2.8488728776006815019e-6064j | 3.97e-358, 1.82e-1862j | 
| 0.0002697713330725031675 - 3.0454875043120407805e-6037j | 2.3e-289, 1.06e-1793j | 
| 3.8903956795118599741e-14 - 1.5809831564883403634e-6044j | 2.71e-322, 1.24e-1826j | 
| 4.058397856284689933e-05 + 3.4236013648337442404e-6038j | 9.19e-295, 4.21e-1799j | 
| 3.068186287268219253e-66 - 1.3651004103111739986e-6073j | 2.05e-366, 9.41e-1871j | 
| 1.1779819457819783299e-27 + 2.4903263695266012995e-6052j | 2.11e-341, 9.67e-1846j | 
| 0.0006893668655253162282 + 2.593444028393442484e-6037j | 6.41e-291, 2.94e-1795j | 
| 3.6764119058417276569e-71 - 3.0858645135962730031e-6076j | 7.44e-369, 3.41e-1873j | 
| 2.5036985395352478904e-13 + 5.5445474330308687363e-6044j | 7.6e-324, 3.49e-1828j | 
| 3.0527354649939809837e-51 + 2.3810240242000671193e-6065j | 2.18e-360, 9.99e-1865j | 
| 6.806318309482453693e-95 - 8.4916023010044042847e-6089j | 1.29e-380, 5.92e-1885j | 
| 0.071546839552499245118 - 3.560016035072874168e-6036j | 1.47e-270, 6.74e-1775j | 
| 0.010512482070143975067 + 8.7045797712895888952e-6037j | 5.69e-288, 2.61e-1792j | 
| 4.9827914855847793082e-24 - 2.1761994213254253309e-6050j | 1.82e-340, 8.35e-1845j | 
| 1.1658956837339978326e-68 + 6.7854121013291911741e-6075j | 4.75e-368, 2.18e-1872j | 
| 2.8604684584269215079e-102 - 1.172328185909337705e-6092j | 6.48e-384, 2.97e-1888j | 
| 2.7592644922913079579e-57 - 1.0281358207105052035e-6068j | 1.67e-364, 7.65e-1869j | 
| 8.7176348674774746383e-22 - 3.8358729432714500644e-6049j | 6.01e-340, 2.76e-1844j | 
| 1.4894593192797798444e-05 - 1.1925720495045021858e-6038j | 4.09e-311, 1.88e-1815j | 
| 2.5189964045703260039e-09 + 4.4326752916059702796e-6041j | 7.45e-323, 3.42e-1827j | 
| 8.039715317834001927e-12 + 6.568330721930403596e-6043j | 1.06e-327, 4.85e-1832j | 
| 4.3451613468576737403e-85 + 1.2225466051341168017e-6083j | 6.28e-377, 2.88e-1881j | 
| 5.2389077135275497627e-33 + 5.539659871524865002e-6055j | 8.44e-352, 3.87e-1856j | 
| 2.9614866133561880994e-30 + 1.1643824880947077497e-6053j | 3.62e-349, 1.66e-1853j | 
| 9.2260030093404394887e-17 + 3.3821209101467904288e-6046j | 3.78e-337, 1.74e-1841j | 
| 5.9455245612646598385e-44 + 4.0368442936928156581e-6061j | 8.24e-359, 3.78e-1863j | 
| 0.052042564578810894899 + 3.2369773414121379945e-6036j | 1.1e-299, 5.05e-1804j | 
| 1.7033089884000989502e-10 + 6.7807818670673048366e-6042j | 5.66e-329, 2.6e-1833j | 
| 0.11182565313742335686 + 4.0226795050834621493e-6036j | 1.37e-298, 6.3e-1803j | 
| 9.642796164805970774e-09 - 9.488875582130079543e-6041j | 1.24e-325, 5.71e-1830j | 
| 0.0015183866461076566937 - 2.9465866490489647096e-6037j | 1.81e-314, 8.31e-1819j | 
| 0.036534973684228628689 - 2.7267295131537214093e-6036j | 5.82e-305, 2.67e-1809j | 
| 4.3363648653881647816e-82 - 4.706267248301279464e-6082j | 8.18e-377, 3.75e-1881j | 
| 1.1302931457734537071e-18 + 2.3911683823181190226e-6047j | 3.11e-340, 1.43e-1844j | 
| 0.025528851697187059612 + 2.027551815222683818e-6036j | 5.06e-310, 2.32e-1814j | 
| 2.014364402114873692e-59 + 6.9019256219728797591e-6070j | 4.39e-367, 2.01e-1871j | 
| 8.9041575276367671198e-05 + 2.7215978595646178226e-6037j | 6.04e-321, 2.77e-1825j | 
| 1.7086376085528434376e-47 + 3.2782571977270861623e-6063j | 6.02e-362, 2.76e-1866j | 
| 1.0674443422750268656e-45 - 3.664010841345659238e-6062j | 5.79e-361, 2.66e-1865j | 
| 0.11765031901593593049 - 3.2940666091876697828e-6036j | 1.14e-311, 5.25e-1816j | 
| 0.10522037154185711775 - 4.1015317894857727718e-6036j | 6.66e-312, 3.06e-1816j | 
| 7.4561196194158512186e-16 - 1.2372068627914393489e-6045j | 1.01e-340, 4.64e-1845j | 
| 3.2711992236524856538e-55 + 1.4385152636202526987e-6067j | 2.03e-366, 9.3e-1871j | 
| 9.1298406290475253049e-05 - 1.2159973901911588894e-6037j | 4e-327, 1.83e-1831j | 
| 1.0258927190295957915e-20 + 1.5554687600149798479e-6048j | 1.38e-345, 6.34e-1850j | 
| 0.10993848277418210894 - 1.2230170532207823057e-6036j | 2.52e-320, 1.15e-1824j | 
| 0.0059435218322954836236 - 5.690964593250651457e-6037j | 4.05e-326, 1.86e-1830j | 
| 1.9218883643128277627e-34 - 1.3192973305284370843e-6055j | 2.57e-356, 1.18e-1860j | 
| 3.3435778311230611606e-25 + 5.0082182258869739606e-6051j | 5.92e-350, 2.72e-1854j | 
| 1.4842638928442119221e-12 - 1.922413525426970827e-6043j | 1.14e-340, 5.22e-1845j | 
| 0.091078235989800450468 + 3.8456285977071560502e-6036j | 1.11e-326, 5.08e-1831j | 
| 0.12108393084805253879 + 2.1870139526233246309e-6036j | 3.61e-326, 1.66e-1830j | 
| 6.417559616319970753e-36 + 4.0118109345926686897e-6056j | 3.18e-357, 1.46e-1861j | 
| 0.0031122424130168347338 + 3.9197498081498948692e-6037j | 1.4e-332, 6.43e-1837j | 
| 3.3770149002227631473e-53 - 1.89983893491093445e-6066j | 8.09e-367, 3.71e-1871j | 
| 1.3027723071976218706e-31 - 2.5094598685248729231e-6054j | 6.76e-355, 3.1e-1859j | 
| 0.017077683061284903956 - 1.3549148948512957821e-6036j | 3.2e-334, 1.47e-1838j | 
| 0.037462030069361433392 - 1.5108906205250824599e-6037j | 6.95e-335, 3.18e-1839j | 
| 6.6643624934301515673e-10 - 1.8662816351157241993e-6041j | 7.11e-341, 3.26e-1845j | 
| 1.7503137545190882636e-98 + 1.1183500098737531214e-6090j | 9.02e-391, 4.14e-1895j | 
| 0.080721171828668156935 + 5.6185241788847671956e-6037j | 8.9e-335, 4.05e-1839j | 
All rules of Laguerre type can be downloaded here packed into a single file.