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) | 
|---|---|
| 275.79301040686991325 + 1.3919999546225770514e-2697j | 4.76e-997, 4.76e-997j | 
| 220.67747569391655726 + 2.1773445984657732495e-2687j | 4.46e-991, 4.46e-991j | 
| 258.05784979067586896 - 8.6057692363615788526e-2696j | 4.87e-995, 4.87e-995j | 
| 231.64739048224420504 + 2.3915554210643891446e-2691j | 3.49e-992, 3.49e-992j | 
| 243.89426370384888899 + 4.8810440674896662063e-2694j | 1.69e-993, 1.69e-993j | 
| 51.297816471969214902 + 3.0647147428176358312e-2686j | 1.14e-986, 1.14e-986j | 
| 31.432954469952109065 - 1.2486376912138729275e-2691j | 1.47e-990, 1.47e-990j | 
| 77.334095214057518006 + 3.9001792608239913898e-2683j | 2.11e-984, 2.11e-984j | 
| 81.089508603992336358 + 6.8081228395582438318e-2684j | 3.21e-984, 3.21e-984j | 
| 18.40824812789280062 + 5.8841819734424645033e-2708j | 3.66e-995, 3.66e-995j | 
| 169.48495954053596546 + 6.5369455779152673515e-2695j | 1.11e-986, 1.11e-986j | 
| 192.69269015045865069 + 5.3884153400265986685e-2726j | 1.72e-988, 1.72e-988j | 
| 106.38509731239993777 + 3.1577033415650604296e-2758j | 6.84e-984, 6.84e-984j | 
| 48.500110148523692052 - 1.5544428395989009825e-2780j | 4.4e-987, 4.4e-987j | 
| 25.380251587404221863 - 3.3242339522330266336e-2786j | 2.13e-992, 2.13e-992j | 
| 54.191148974661991519 + 5.9651985531686144767e-2778j | 2.75e-986, 2.75e-986j | 
| 11.3896777757202357 - 2.5737182451353840566e-2803j | 4.26e-999, 4.26e-999j | 
| 13.973930589380457012 - 1.5741827127679248221e-2801j | 1.98e-997, 1.98e-997j | 
| 57.182363395214375627 - 6.4232428784460696743e-2788j | 6.42e-986, 6.42e-986j | 
| 43.183289518338727641 + 9.1680762693758245332e-2801j | 5.97e-988, 5.97e-988j | 
| 10.209896695763857689 + 2.9015493486328497106e-2819j | 6.46e-1000, 6.46e-1000j | 
| 38.225432107303993902 + 3.1793779407132596219e-2805j | 6.74e-989, 6.74e-989j | 
| 40.660366345652141766 + 1.2444122996845515699e-2803j | 2.13e-988, 2.13e-988j | 
| 126.3342382932302221 - 1.7754538041306492659e-2852j | 2.48e-984, 2.48e-984j | 
| 93.114258061637720489 + 7.9249460565006586465e-2933j | 6.14e-984, 6.14e-984j | 
| 101.81316728399730194 + 4.0147590102910545715e-3005j | 7.44e-984, 7.44e-984j | 
| 8.0833173868630038297 - 1.6168818068246120876e-3085j | 1.32e-1001, 1.32e-1001j | 
| 143.32679402245171458 + 3.3467161179011383295e-3067j | 4.89e-985, 4.89e-985j | 
| 155.83484025062359746 + 5.7509390341258903831e-3102j | 9.24e-986, 9.24e-986j | 
| 131.78464136416444683 - 6.8741019208401404502e-3117j | 1.62e-984, 1.62e-984j | 
| 45.795923898043869539 + 3.4550664389507030759e-3135j | 1.64e-987, 1.64e-987j | 
| 6.2899450829374791969 - 2.437566185355881852e-3150j | 2.5e-1003, 2.5e-1003j | 
| 4.1069546400976185258 - 1.2276228052034059068e-3153j | 3.58e-1006, 3.58e-1006j | 
| 7.1435019371982770196 + 3.9491431367420741826e-3150j | 1.8e-1002, 1.8e-1002j | 
| 3.4555872383221763378 - 2.0599317180138453723e-3154j | 2.83e-1007, 2.83e-1007j | 
| 84.968281391499350496 - 1.0329030745725814567e-3130j | 4.22e-984, 4.22e-984j | 
| 176.81332603447622814 - 6.0418736545661750255e-3169j | 3.27e-987, 3.27e-987j | 
| 16.855479681552789223 + 6.6866379693336088439e-3218j | 6.76e-996, 6.76e-996j | 
| 33.613186089451933581 - 1.6293754330145026401e-3206j | 5.36e-990, 5.36e-990j | 
| 162.50358821634139495 + 3.1273176693451206426e-3227j | 3.55e-986, 3.55e-986j | 
| 116.00994779169245421 + 3.6785858563685476491e-3268j | 5.11e-984, 5.11e-984j | 
| 15.377504835400511177 - 2.5112563691982999725e-3299j | 1.17e-996, 1.17e-996j | 
| 20.036369426661333969 + 3.587072113505250818e-3297j | 1.96e-994, 1.96e-994j | 
| 2.8486858574764312997 + 1.0027373366818038503e-3311j | 1.67e-1008, 1.67e-1008j | 
| 210.65148337600625444 + 1.0771377373275908055e-3287j | 4.23e-990, 4.23e-990j | 
| 70.177186974206839209 - 3.0325322640747492508e-3308j | 8.23e-985, 8.23e-985j | 
| 121.07978591410409523 + 1.430447431717239433e-3337j | 3.97e-984, 3.97e-984j | 
| 63.468290498423238426 - 4.9822259797011591012e-3372j | 2.64e-985, 2.64e-985j | 
| 1.7971892249153392795 + 1.8232898550298813387e-3458j | 6.34e-1011, 6.34e-1011j | 
| 0.98383175112576000306 - 2.8187209156468309603e-3460j | 2.1e-1013, 2.1e-1013j | 
| 1.3599707949830150279 - 3.199950630338749207e-3460j | 3.7e-1012, 3.7e-1012j | 
| 184.53126052832120441 - 5.4800693720136580523e-3431j | 8.21e-988, 8.21e-988j | 
| 5.5144807105803310824 + 2.7217617276230091997e-3521j | 3.27e-1004, 3.27e-1004j | 
| 88.974899221883729815 - 4.5672359663673448297e-3499j | 5.14e-984, 5.14e-984j | 
| 2.2942803602790417198 - 3.2638587056851853028e-3569j | 1.02e-1009, 1.02e-1009j | 
| 149.45044666367870356 + 1.8371809357139335228e-3542j | 2.23e-985, 2.23e-985j | 
| 201.36784768734977799 - 1.2589146153608920029e-3560j | 2.83e-989, 2.83e-989j | 
| 73.697920020193102955 - 3.3833102001702312315e-3585j | 1.41e-984, 1.41e-984j | 
| 12.644594737263239437 - 8.3828680630248137928e-3631j | 3.03e-998, 3.03e-998j | 
| 9.106825260310993202 + 1.0417746888181212995e-3632j | 8.98e-1001, 8.98e-1001j | 
| 23.521529241793799904 - 1.9028904295613006784e-3618j | 4.61e-993, 4.61e-993j | 
| 97.391718074377038934 - 8.8934429233387980037e-3620j | 7.26e-984, 7.26e-984j | 
| 137.44389564429836275 + 8.9533583699940263609e-3647j | 8.93e-985, 8.93e-985j | 
| 66.768391354011641492 - 6.7663229626525251683e-3665j | 4.85e-985, 4.85e-985j | 
| 60.273878375881164193 - 1.6430950935738124822e-3665j | 1.34e-985, 1.34e-985j | 
| 0.22315753650602343173 - 2.1504408080852072386e-3698j | 1.76e-1017, 1.76e-1017j | 
| 4.7933484426247437058 - 6.0932151110338097017e-3687j | 3.79e-1005, 3.79e-1005j | 
| 29.334861050155807311 - 1.7505211629265379513e-3671j | 3.81e-991, 3.81e-991j | 
| 35.876874881882914533 - 1.8304415320046996197e-3670j | 1.92e-989, 1.92e-989j | 
| 27.317675154011896898 + 5.083054258723067926e-3672j | 8.85e-992, 8.85e-992j | 
| 0.66915388329005923162 - 9.1288599402386095361e-3696j | 1.1e-1014, 1.1e-1014j | 
| 0.090549032794199307286 + 1.7912416321134478741e-3699j | 6.14e-1019, 6.14e-1019j | 
| 21.740531538761749846 + 1.0666480546361207962e-3673j | 9.86e-994, 9.86e-994j | 
| 111.11469414633962499 + 3.6761787898438453978e-3664j | 6.15e-984, 6.15e-984j | 
| 0.017156077629140551202 + 6.5397745113958033125e-3758j | 1.2e-1020, 1.2e-1020j | 
| 0.41577455678347908331 - 1.073038417394009258e-3703j | 4.57e-1016, 4.57e-1016j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.5036344941013462888e-119 + 1.6460339469189940462e-2759j | 3.86e-140, 2.46e-886j | 
| 1.5148706847033158064e-95 + 1.8028040790633109464e-2747j | 2.16e-133, 1.37e-879j | 
| 1.3101223510525080881e-111 - 1.169766888619920882e-2755j | 2.06e-138, 1.31e-884j | 
| 2.8766693939984996859e-100 - 7.0194942668156065509e-2750j | 2.56e-135, 1.63e-881j | 
| 1.5627045451296567298e-105 + 1.4531586501527605616e-2752j | 7.45e-137, 4.75e-883j | 
| 1.4988131970080463927e-22 - 2.4057360911147312867e-2708j | 3.32e-93, 2.11e-839j | 
| 4.775754456666451148e-14 - 4.0022099202035993073e-2705j | 5.67e-79, 3.61e-825j | 
| 9.5909048274526102991e-34 + 2.6068417873763804556e-2715j | 7.87e-106, 5.01e-852j | 
| 2.3169954059970012095e-35 - 3.7618667669911032086e-2716j | 2.61e-107, 1.66e-853j | 
| 1.61023551283684638e-08 + 4.4070423847165096052e-2702j | 2.02e-66, 1.28e-812j | 
| 1.7694353405754597214e-73 + 3.6674718319606525638e-2736j | 7.53e-130, 4.8e-876j | 
| 1.734443665004019055e-83 - 2.6573758685252515435e-2741j | 4.43e-133, 2.82e-879j | 
| 2.9170628880997789211e-46 - 5.2189052779674736126e-2722j | 4.7e-117, 2.99e-863j | 
| 2.3773786321154163618e-21 + 7.0072456304876890091e-2708j | 7.28e-95, 4.64e-841j | 
| 1.8020665317773531549e-11 + 1.1397049936309079068e-2703j | 3.11e-79, 1.98e-825j | 
| 8.5843741010349487614e-24 - 3.5563039683627881012e-2709j | 5.4e-98, 3.44e-844j | 
| 1.3772231210633278166e-05 - 2.2033088579316880353e-2700j | 4.9e-61, 3.12e-807j | 
| 1.1662545918200202383e-06 - 4.9560186612228557675e-2701j | 7.49e-66, 4.77e-812j | 
| 4.4568088603892158174e-25 + 3.7381973721713511263e-2710j | 5.13e-100, 3.27e-846j | 
| 4.5210892950602347762e-19 + 3.8768965004965683641e-2707j | 1.81e-93, 1.15e-839j | 
| 4.2022412094121090724e-05 + 4.5007709064083432175e-2700j | 2.6e-61, 1.66e-807j | 
| 5.9920246787156156848e-17 + 3.3403295108342667567e-2706j | 2.33e-91, 1.49e-837j | 
| 5.4405482211518844702e-18 - 1.1186661311059780246e-2706j | 1.78e-92, 1.13e-838j | 
| 7.2798949595981429313e-55 - 1.5935764004961938227e-2726j | 4.09e-127, 2.61e-873j | 
| 1.5311333557781606391e-40 + 5.7631925395823225206e-2719j | 9.09e-118, 5.79e-864j | 
| 2.7282640341090376914e-44 + 5.7719279937002168205e-2721j | 2.78e-120, 1.77e-866j | 
| 0.0003032142979407624954 + 1.7555463560247824763e-2699j | 2.07e-65, 1.32e-811j | 
| 3.4051038954385826295e-62 + 2.4607661082596298376e-2730j | 8.41e-132, 5.36e-878j | 
| 1.3683232728549114123e-67 + 3.9790863415352668609e-2733j | 1.73e-134, 1.1e-880j | 
| 3.2445063016370220658e-57 + 9.4858764150755858975e-2728j | 2.91e-129, 1.86e-875j | 
| 3.4328368805934335081e-20 - 1.4566585138709413283e-2707j | 5.91e-101, 3.76e-847j | 
| 0.0015055121763991675011 + 5.6748436284806208277e-2699j | 2.3e-67, 1.47e-813j | 
| 0.011030561994292243546 - 1.3631154754409665956e-2698j | 5.14e-61, 3.28e-807j | 
| 0.0007083237638112588615 - 3.2819972760359016055e-2699j | 2.62e-69, 1.67e-815j | 
| 0.019912043052291577477 + 1.5151889771862748923e-2698j | 1.49e-58, 9.46e-805j | 
| 4.9482487965886570761e-37 + 4.5277376150447135504e-2717j | 1.09e-117, 6.96e-864j | 
| 1.2214926304091083604e-76 - 8.683547387020557976e-2738j | 3.32e-139, 2.12e-885j | 
| 7.2486001059958693486e-08 - 1.0139116431419545423e-2701j | 1.06e-87, 6.75e-834j | 
| 5.6062259351354267624e-15 + 3.4307657979620630646e-2705j | 4.66e-99, 2.97e-845j | 
| 1.8170468963363023566e-70 - 1.3048547675143204449e-2734j | 2.85e-136, 1.81e-882j | 
| 2.0645905891478796225e-50 - 3.4064063225282197112e-2724j | 2.11e-127, 1.35e-873j | 
| 3.021452390553264707e-07 + 2.2703136781238300109e-2701j | 1.52e-88, 9.71e-835j | 
| 3.3112723780117117936e-09 - 1.8610165133276237203e-2702j | 2.98e-93, 1.9e-839j | 
| 0.033692451167798677593 - 1.628152273521089457e-2698j | 5.77e-69, 3.68e-815j | 
| 3.153309892512303838e-91 - 2.9001467066274888182e-2745j | 2.56e-146, 1.63e-892j | 
| 1.1535549040320827746e-30 + 1.4687710295817334112e-2713j | 6.39e-117, 4.07e-863j | 
| 1.3439965224141823982e-52 + 2.4354138887494552174e-2725j | 1.11e-128, 7.07e-875j | 
| 8.8618363584177810178e-28 + 7.1312607763773492834e-2712j | 4.12e-115, 2.63e-861j | 
| 0.077485678491880135461 - 1.7430526197084797834e-2698j | 2.24e-73, 1.43e-819j | 
| 0.12914416677320801843 - 1.6173287922768729523e-2698j | 2.83e-71, 1.81e-817j | 
| 0.10441234391396510571 + 1.7185943891131378798e-2698j | 2.83e-71, 1.8e-817j | 
| 5.7324442605737761667e-80 + 1.6954787944111953508e-2739j | 9.72e-142, 6.2e-888j | 
| 0.0029955190929375226948 - 8.6671619266991673984e-2699j | 5.24e-85, 3.34e-831j | 
| 9.3006750608255828221e-39 - 5.2497123280796637578e-2718j | 5.36e-122, 3.41e-868j | 
| 0.05307150370562657126 + 1.7073781161154013756e-2698j | 6.73e-80, 4.29e-826j | 
| 7.7697098938290483943e-65 - 1.0549242105086861934e-2731j | 4.01e-135, 2.56e-881j | 
| 3.1579892847799827404e-87 + 3.2283468006303403575e-2743j | 2.18e-145, 1.39e-891j | 
| 3.5238851392243797976e-32 - 2.0123741778185262036e-2714j | 3e-119, 1.91e-865j | 
| 4.1672508630784847526e-06 + 1.0565335444977429475e-2700j | 3.53e-98, 2.25e-844j | 
| 0.00011799216927060327453 - 9.0039336487012856665e-2700j | 1.89e-95, 1.2e-841j | 
| 1.108486709564761036e-10 - 3.0110142638169512791e-2703j | 6.32e-106, 4.02e-852j | 
| 2.1960706795609489946e-42 - 5.957342560475227461e-2720j | 6.67e-125, 4.25e-871j | 
| 1.1747148662567373919e-59 - 5.1021334805904417446e-2729j | 2.63e-133, 1.67e-879j | 
| 3.3760575707407095904e-29 - 1.0311974286039147453e-2712j | 1.59e-118, 1.01e-864j | 
| 2.0924958125370502374e-26 - 4.9916632688266131121e-2711j | 3.97e-117, 2.53e-863j | 
| 0.12998045220192645761 + 8.1233691480115581422e-2699j | 4.14e-98, 2.64e-844j | 
| 0.0058175524898211692706 + 1.1494605035993321013e-2698j | 3.44e-99, 2.19e-845j | 
| 3.7442019493248849597e-13 + 1.1170869714293165497e-2704j | 2.52e-111, 1.61e-857j | 
| 6.0493385375257776353e-16 - 1.0252704648821736533e-2705j | 9.2e-113, 5.86e-859j | 
| 2.7046909481659619449e-12 - 4.0216628321538928073e-2704j | 5.85e-111, 3.73e-857j | 
| 0.14543055657917445412 + 1.428459813364757883e-2698j | 2.85e-103, 1.81e-849j | 
| 0.093967492898282949091 - 4.4904487141499903875e-2699j | 6.03e-104, 3.84e-850j | 
| 6.300351408322410188e-10 + 7.6175906111332834949e-2703j | 1.19e-109, 7.59e-856j | 
| 2.6652543903395254212e-48 + 4.3843976021171163717e-2723j | 2.56e-130, 1.63e-876j | 
| 0.043297094984109771416 + 1.3446404418921457653e-2699j | 1.84e-105, 1.18e-851j | 
| 0.14706601729159865684 - 1.1534218332183802144e-2698j | 1.15e-104, 7.26e-851j | 
All rules of Laguerre type can be downloaded here packed into a single file.