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) | 
|---|---|
| 312.67397976598481286 - 3.9456841109630294485e-2221j | 2.07e-994, 2.07e-994j | 
| 234.62138480790515638 - 3.3597109869261474142e-2207j | 4.26e-986, 4.26e-986j | 
| 294.15023708313959198 - 2.9039466874579422701e-2223j | 2.78e-992, 2.78e-992j | 
| 254.95976802212063046 - 9.6735025986826874282e-2218j | 4.29e-988, 4.29e-988j | 
| 28.568512394831776538 - 8.0547368395493448888e-2248j | 6.9e-989, 6.9e-989j | 
| 41.264062703734969419 + 3.6057789517301317035e-2244j | 2.33e-985, 2.33e-985j | 
| 118.60302411148205004 - 7.8841980891608964149e-2237j | 2.35e-979, 2.35e-979j | 
| 51.232020829084129059 + 1.6579776244599897009e-2260j | 1.87e-983, 1.87e-983j | 
| 279.32613695354404564 + 4.5945816990384706757e-2256j | 1.17e-990, 1.17e-990j | 
| 266.48386331969608656 + 1.3498000960207166626e-2268j | 2.81e-989, 2.81e-989j | 
| 15.550512798768869123 - 1.9043339408253592338e-2327j | 1.03e-994, 1.03e-994j | 
| 21.518162640314946676 + 7.9966457364160106242e-2328j | 1.16e-991, 1.16e-991j | 
| 186.32906416887147242 + 2.2757747484103108401e-2322j | 3.81e-982, 3.81e-982j | 
| 109.64169862581471281 + 5.8121348565150125886e-2385j | 2.38e-979, 2.38e-979j | 
| 14.226529445597903025 - 9.0377259469152797216e-2432j | 1.84e-995, 1.84e-995j | 
| 59.5556268822225164 - 2.7892901520808678316e-2415j | 2.97e-982, 2.97e-982j | 
| 133.10039194004482919 - 9.9721912965472743562e-2435j | 1.38e-979, 1.38e-979j | 
| 75.17622298170884823 + 1.4056670254869207108e-2451j | 1.19e-980, 1.19e-980j | 
| 85.690073990869921836 - 8.2359050753747262841e-2452j | 5.34e-980, 5.34e-980j | 
| 200.86342517619440401 - 2.731970077620722174e-2463j | 3.13e-983, 3.13e-983j | 
| 82.084561565057351544 - 5.6671521407468469954e-2473j | 3.66e-980, 3.66e-980j | 
| 78.580853797432544928 + 1.6137442901623976925e-2498j | 2.08e-980, 2.08e-980j | 
| 30.50432849351983766 + 1.0656237854253264033e-2540j | 3.21e-988, 3.21e-988j | 
| 34.589269923977967012 - 3.0278071225446718999e-2534j | 5.25e-987, 5.25e-987j | 
| 114.05589942757613264 - 3.8639669334252973551e-2546j | 2.51e-979, 2.51e-979j | 
| 143.54808174945388549 + 1.2525015366051870058e-2605j | 6.9e-980, 6.9e-980j | 
| 193.43669433591194049 + 5.938150665050096774e-2660j | 1.14e-982, 1.14e-982j | 
| 19.92567687137040848 - 2.0106903473556746877e-2723j | 2.08e-992, 2.08e-992j | 
| 10.675086650298227396 + 5.2391605844451099954e-2730j | 6.72e-998, 6.72e-998j | 
| 138.24071026312914117 + 3.515890226497943941e-2710j | 1.02e-979, 1.02e-979j | 
| 93.218439912591621462 - 1.7196101265985571939e-2756j | 1.16e-979, 1.16e-979j | 
| 160.57085788985961838 - 3.416021855880082518e-2796j | 1.26e-980, 1.26e-980j | 
| 244.40856819871203128 - 3.7251325526116871225e-2819j | 5.1e-987, 5.1e-987j | 
| 149.03175059785808379 + 4.9294392094559033264e-2832j | 4.19e-980, 4.19e-980j | 
| 5.4345207958810255356 - 3.3709830502226443123e-2864j | 2.34e-1003, 2.34e-1003j | 
| 9.643545633734367589 + 1.2245210031303009008e-2859j | 9.27e-999, 9.27e-999j | 
| 32.510955455429829477 + 2.7126005678959971202e-2849j | 1.29e-987, 1.29e-987j | 
| 1 + 3.7148782336206725788e-2874j | 7.16e-1013, 7.16e-1013j | 
| 4.0096697259081746896 + 6.2993086265062090083e-2867j | 1.15e-1005, 1.15e-1005j | 
| 6.2049050854969450704 - 4.0442013836473714163e-2863j | 2.71e-1002, 2.71e-1002j | 
| 26.702695074606545619 + 2.0541489152262529196e-2850j | 1.49e-989, 1.49e-989j | 
| 71.868122880437880915 - 4.6540994826425568892e-2842j | 6.25e-981, 6.25e-981j | 
| 18.400328473474070214 + 2.2024809382756879416e-2854j | 4.01e-993, 4.01e-993j | 
| 2.2524650576384452153 - 3.1236868143647045723e-2870j | 3.24e-1009, 3.24e-1009j | 
| 62.499949688197587679 + 7.4194489005313871282e-2843j | 7.01e-982, 7.01e-982j | 
| 225.45953879933644163 - 1.7350321397196920234e-2840j | 3.04e-985, 3.04e-985j | 
| 12.971013952124308677 + 3.7425537868579612247e-2860j | 2.75e-996, 2.75e-996j | 
| 16.941922975830071109 + 5.8945763614206128507e-2858j | 6.4e-994, 6.4e-994j | 
| 36.740212167964233732 - 3.0185354451552682368e-2851j | 2.03e-986, 2.03e-986j | 
| 24.90613180984560775 + 1.056645318893453258e-2853j | 3.37e-990, 3.37e-990j | 
| 53.923342746060110863 + 3.0353257930688481058e-2846j | 5.45e-983, 5.45e-983j | 
| 68.654173051777453485 - 7.9822015035544762402e-2846j | 3.19e-981, 3.19e-981j | 
| 105.35533426075605778 + 3.4207552659067724807e-2842j | 2.08e-979, 2.08e-979j | 
| 97.147828443075102039 - 5.6434853664910128961e-2848j | 1.48e-979, 1.48e-979j | 
| 1.3601902558816710672 - 2.0855243131890780268e-2900j | 1.21e-1011, 1.21e-1011j | 
| 216.82491704137448658 - 1.0374211649760041358e-2867j | 1.55e-984, 1.55e-984j | 
| 179.5112923134778656 + 1.2955971849816872434e-2917j | 1.04e-981, 1.04e-981j | 
| 43.639178336766284137 - 7.4630607447817053739e-2957j | 7.75e-985, 7.75e-985j | 
| 46.091341685603526382 + 7.9018077373465949678e-2954j | 2.47e-984, 2.47e-984j | 
| 0.69755277420190255773 + 1.9893148864082153584e-2987j | 3.79e-1014, 3.79e-1014j | 
| 7.8232631436879996743 + 9.6933770725297445318e-2974j | 1.93e-1000, 1.93e-1000j | 
| 4.6997706779780563887 + 8.3894437825222744116e-2979j | 1.65e-1004, 1.65e-1004j | 
| 208.64481591938498363 - 3.2084713764545406447e-2952j | 7.85e-984, 7.85e-984j | 
| 166.65137518140787247 + 1.1105484669450819276e-2987j | 6.61e-981, 6.61e-981j | 
| 7.0008213208677534349 + 2.0841209282861167781e-3033j | 2.55e-1001, 2.55e-1001j | 
| 3.369839231310923141 - 1.2773915548325986154e-3039j | 7.91e-1007, 7.91e-1007j | 
| 56.697335043635440484 - 1.5640266466315713116e-3011j | 1.26e-982, 1.26e-982j | 
| 89.400318000847778349 - 3.0803094472130288028e-3019j | 7.94e-980, 7.94e-980j | 
| 0.13764409657282558509 + 3.2301291877988705516e-3094j | 5.83e-1018, 5.83e-1018j | 
| 8.6954614058480384981 - 3.5599153637961580981e-3075j | 1.51e-999, 1.51e-999j | 
| 2.7834942193390438441 - 8.3039211315275215894e-3084j | 5.23e-1008, 5.23e-1008j | 
| 128.11885023892723095 - 1.6015117316894914804e-3055j | 1.86e-979, 1.86e-979j | 
| 48.621835416029945121 - 6.7998336481947599846e-3085j | 6.99e-984, 6.99e-984j | 
| 154.70209881838080496 - 5.3214713129526211838e-3080j | 2.38e-980, 2.38e-980j | 
| 65.53214496815091987 + 6.6635575221460253543e-3105j | 1.51e-981, 1.51e-981j | 
| 1.7778164479152197065 - 1.2859458226950186445e-3131j | 1.93e-1010, 1.93e-1010j | 
| 0.45313042978817364264 - 1.6304082109883586857e-3136j | 2.21e-1015, 2.21e-1015j | 
| 0.056897625001077184683 - 5.9004118139247824109e-3220j | 3.37e-1019, 3.37e-1019j | 
| 38.964786496952272222 + 7.63808307305360256e-3107j | 7.18e-986, 7.18e-986j | 
| 101.19214105562977808 - 1.3992454941516272164e-3099j | 1.91e-979, 1.91e-979j | 
| 23.178150763295871387 - 5.7730325642363593466e-3147j | 6.62e-991, 6.62e-991j | 
| 0.26691644663586749571 + 1.6501556395177601182e-3173j | 1e-1016, 1e-1016j | 
| 11.786005379861343862 - 1.1893189127159972406e-3152j | 4.33e-997, 4.33e-997j | 
| 172.95895376563618423 + 1.1890014101062719414e-3135j | 2.59e-981, 2.59e-981j | 
| 123.2886380195287862 - 6.4080602556248653014e-3170j | 2.19e-979, 2.19e-979j | 
| 0.01140932020575884361 + 7.8059888236906821628e-3297j | 1.22e-1020, 1.22e-1020j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.5135182597113341465e-135 - 5.0020783541915545442e-2324j | 3.76e-130, 1.18e-869j | 
| 1.2047842519637390695e-101 - 6.1725893456636899606e-2307j | 3.75e-120, 1.17e-859j | 
| 2.8971224620285247934e-127 + 5.3533156916849559514e-2320j | 3.04e-128, 9.52e-868j | 
| 2.0585504404310100599e-110 - 2.1066024402861411727e-2311j | 1.76e-123, 5.52e-863j | 
| 7.4432615409055025991e-13 - 4.5041296081707993905e-2260j | 4.91e-49, 1.54e-788j | 
| 2.8048140894634449518e-18 - 5.5260300009840271621e-2262j | 4.7e-62, 1.47e-801j | 
| 1.4307716465000866517e-51 - 5.0214502389256123033e-2281j | 2.87e-99, 8.98e-839j | 
| 1.4912305395243801499e-22 + 4.9924572854688400816e-2265j | 3.71e-70, 1.16e-809j | 
| 6.7024467203088917288e-121 - 9.3652319760888208099e-2317j | 4.53e-127, 1.42e-866j | 
| 2.2419349865313356605e-115 + 6.1569449731949126706e-2314j | 2.36e-125, 7.39e-865j | 
| 2.3951735188673357527e-07 - 6.7333880653598231193e-2257j | 1.35e-34, 4.21e-774j | 
| 7.3442116885668233129e-10 - 2.2850826495611224963e-2258j | 9.49e-45, 2.97e-784j | 
| 8.3332977948017802934e-81 - 3.1871434886190561447e-2296j | 9.45e-116, 2.96e-855j | 
| 1.051118781638024261e-47 - 5.5131166291497445399e-2279j | 1.52e-98, 4.75e-838j | 
| 8.552303148789776649e-07 + 1.5023280900742977421e-2256j | 3.01e-34, 9.43e-774j | 
| 3.9615859487205858168e-26 - 3.4233569199753872161e-2267j | 2.88e-79, 9.02e-819j | 
| 7.9314478482327361986e-58 + 2.6254484748947324843e-2284j | 2.51e-105, 7.86e-845j | 
| 7.536980094182775804e-33 + 5.4666215239000762792e-2271j | 1.48e-87, 4.64e-827j | 
| 2.2307091373909957279e-37 - 1.8345162697321013767e-2273j | 4.19e-92, 1.31e-831j | 
| 4.4339859230441958333e-87 - 1.8803127944502955202e-2299j | 2.38e-120, 7.46e-860j | 
| 7.9774177201717292826e-36 + 1.2801102257820284008e-2272j | 7.91e-91, 2.48e-830j | 
| 2.5766607366127562363e-34 - 8.5437991012412675587e-2272j | 1.55e-89, 4.85e-829j | 
| 1.1138914659312498061e-13 + 4.2559096304663694429e-2260j | 7.85e-65, 2.46e-804j | 
| 2.0103501893579529221e-15 + 5.8855030154409013413e-2261j | 1.52e-68, 4.76e-808j | 
| 1.310414372971289033e-49 + 5.4315517440971575923e-2280j | 3.37e-102, 1.06e-841j | 
| 2.4533661511443285374e-62 + 1.1645433254124797279e-2286j | 2.5e-111, 7.81e-851j | 
| 7.12127395790041609e-84 + 8.3799533968538988581e-2298j | 2.07e-121, 6.47e-861j | 
| 3.4609712059417826293e-09 + 5.4952160827730665533e-2258j | 2.51e-59, 7.87e-799j | 
| 2.4782636935074607838e-05 - 1.5306367556500386011e-2255j | 2.41e-46, 7.56e-786j | 
| 4.793929613411945539e-60 - 1.8213524906481172112e-2285j | 5.51e-110, 1.73e-849j | 
| 1.2700253192377609587e-40 - 3.2679945778114021895e-2275j | 5.2e-99, 1.63e-838j | 
| 1.0992625144171828739e-69 - 1.7739887779541688195e-2290j | 1.5e-116, 4.7e-856j | 
| 7.2579369062741268299e-106 + 4.4548754942112928266e-2309j | 2.97e-131, 9.29e-871j | 
| 1.0533955565303401403e-64 - 6.8300290940338380306e-2288j | 2.4e-113, 7.51e-853j | 
| 0.0032914990367186129086 - 2.62329390805757462e-2254j | 2.7e-41, 8.46e-781j | 
| 6.419499929629504547e-05 + 3.1488604543246271602e-2255j | 4.61e-52, 1.44e-791j | 
| 1.5516547162462905272e-14 - 1.4794230800463324316e-2260j | 4.7e-76, 1.47e-815j | 
| 0.12190267262653232889 - 1.4997229321057198734e-2253j | 4.14e-32, 1.3e-771j | 
| 0.012074681464944280676 - 4.1601952017007222363e-2254j | 7.4e-37, 2.32e-776j | 
| 0.0015843397945676734787 + 2.0477788509462077123e-2254j | 1.04e-44, 3.24e-784j | 
| 4.6331066787883026816e-12 + 1.03694255594488928e-2259j | 2.58e-72, 8.09e-812j | 
| 2.0015840702010924496e-31 - 3.3612077390289277541e-2270j | 4.89e-95, 1.53e-834j | 
| 1.5225357190455583367e-08 - 1.2907709468667199613e-2257j | 4.31e-66, 1.35e-805j | 
| 0.052882429188576993327 + 8.1333465373534827402e-2254j | 4.14e-32, 1.3e-771j | 
| 2.1477759320849629424e-27 + 6.3293414875234195341e-2268j | 1.19e-92, 3.72e-832j | 
| 1.0784315973989211793e-97 + 6.6899607795317180839e-2305j | 2.84e-130, 8.88e-870j | 
| 2.8403579332368458603e-06 - 3.3071391514194205604e-2256j | 2.19e-61, 6.86e-801j | 
| 6.2519238487568760907e-08 + 2.9732065245236766715e-2257j | 2.33e-65, 7.29e-805j | 
| 2.420436141325226881e-16 - 2.6248184014861338972e-2261j | 3.25e-81, 1.02e-820j | 
| 2.6881368088882882945e-11 - 3.4886194642609167474e-2259j | 4.34e-73, 1.36e-812j | 
| 1.0421568354208636004e-23 - 9.5075832187823458604e-2266j | 2.09e-90, 6.54e-830j | 
| 4.8373317214664956713e-30 + 1.991230304207916492e-2269j | 3.43e-95, 1.07e-834j | 
| 7.421421343760368771e-46 + 5.2657832783014923362e-2278j | 4.78e-107, 1.49e-846j | 
| 2.5691835477190463658e-42 + 4.0444264499200471266e-2276j | 6.61e-105, 2.07e-844j | 
| 0.099813052972615057775 + 1.2329376193569631626e-2253j | 6.51e-45, 2.04e-784j | 
| 5.7312868596062351296e-94 - 5.4524735535726761769e-2303j | 8.81e-132, 2.76e-871j | 
| 7.3130582294744515115e-78 + 1.0497878461611572636e-2294j | 2.15e-125, 6.73e-865j | 
| 2.6938953961834784236e-19 - 1.1877042228750765306e-2262j | 1.81e-90, 5.68e-830j | 
| 2.3942928127840111571e-20 + 1.5762786651359228829e-2263j | 1.16e-91, 3.62e-831j | 
| 0.13613984517535248712 + 1.8080837044819751555e-2253j | 1.47e-52, 4.62e-792j | 
| 0.00033707871672336813102 + 1.02393309372297359e-2254j | 1.11e-70, 3.49e-810j | 
| 0.0064921172734778440134 + 3.308883365794851928e-2254j | 9.42e-66, 2.95e-805j | 
| 1.9422512038256161114e-90 + 3.5365892686181409085e-2301j | 8.82e-131, 2.76e-870j | 
| 2.6062148700308986041e-72 + 7.7565986657617905144e-2292j | 1.26e-123, 3.93e-863j | 
| 0.00073542374906937512454 - 1.5221584033363449615e-2254j | 2.85e-72, 8.92e-812j | 
| 0.02110079557786849747 + 5.2223962629531920122e-2254j | 9.74e-68, 3.05e-807j | 
| 6.7030376670951023499e-25 + 1.8145622063318962706e-2266j | 1.38e-96, 4.33e-836j | 
| 5.6175014645443490498e-39 + 2.5090898912705347577e-2274j | 1.24e-105, 3.88e-845j | 
| 0.089430799867404294969 - 2.4743977553114855077e-2253j | 1.73e-67, 5.41e-807j | 
| 0.00015181154523321911778 - 6.0258792420604842277e-2255j | 1.5e-76, 4.69e-816j | 
| 0.034553207482706559829 - 6.5346936134868579657e-2254j | 8.08e-71, 2.53e-810j | 
| 1.120218294154756956e-55 - 3.5030428735738921647e-2283j | 6.71e-116, 2.1e-855j | 
| 1.9667818764354738324e-21 - 2.6933275258077477157e-2264j | 1.7e-95, 5.32e-835j | 
| 3.7559323927848373669e-67 + 3.654993381742905183e-2289j | 1.16e-121, 3.63e-861j | 
| 1.0662197746744344873e-28 - 1.1399732434392591677e-2268j | 1.66e-100, 5.2e-840j | 
| 0.075414283502335364616 - 1.0053243377615253385e-2253j | 4.33e-77, 1.36e-816j | 
| 0.13686498588570291776 - 2.1506472553661750166e-2253j | 2.33e-76, 7.29e-816j | 
| 0.058294511147315702606 + 1.7589464132480905903e-2253j | 1.08e-76, 3.37e-816j | 
| 2.7055227216184813137e-17 + 1.5283327253268972208e-2261j | 9.65e-94, 3.02e-833j | 
| 4.6336169231823693743e-44 - 4.7452423727188901194e-2277j | 9.19e-110, 2.88e-849j | 
| 1.4545988207216977426e-10 + 9.2013459103723498176e-2259j | 3.03e-90, 9.48e-830j | 
| 0.12038897879272316761 + 2.4642330568137013211e-2253j | 2.57e-81, 8.04e-821j | 
| 8.7421026002052689045e-06 + 7.1814279034656042358e-2256j | 1.3e-86, 4.08e-826j | 
| 4.930312184281232029e-75 - 3.0316740322156112361e-2293j | 2.87e-126, 8.98e-866j | 
| 1.3606421115596731422e-53 + 4.3431766780671762817e-2282j | 3.56e-115, 1.12e-854j | 
| 0.028445749237864753028 - 5.8454189748459299352e-2254j | 2.86e-85, 8.97e-825j | 
All rules of Laguerre type can be downloaded here packed into a single file.