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) |
|---|---|
| 211.80748257814393773 + 1.8100728418751014665e-2107j | 1.23e-1001, 1.23e-1001j |
| 171.70489816081899767 + 2.4582401159759013445e-2099j | 2.78e-997, 2.78e-997j |
| 182.77055484830851366 - 2.9888446682878965117e-2127j | 1.96e-998, 1.96e-998j |
| 161.83732206495555998 - 1.5861434850094551167e-2209j | 2.4e-996, 2.4e-996j |
| 152.85867187103955289 - 3.017947205589316e-2315j | 1.52e-995, 1.52e-995j |
| 17.283835708493610202 + 3.5279308400960848318e-2408j | 4.15e-998, 4.15e-998j |
| 79.449830526088481166 - 3.3162251371081092034e-2499j | 1.23e-991, 1.23e-991j |
| 9.4996167350771949103 - 3.1665207823686255259e-2550j | 8.8e-1002, 8.8e-1002j |
| 22.863131736889264106 + 1.4660280101992875858e-2552j | 1.15e-996, 1.15e-996j |
| 84.042076884368834844 + 8.7342697450732552357e-2572j | 1.18e-991, 1.18e-991j |
| 29.462627452716917318 + 1.0482104011995315682e-2595j | 3.2e-995, 3.2e-995j |
| 48.908763754814499775 - 4.3496336080926363353e-2592j | 1.12e-992, 1.12e-992j |
| 27.152912617380153889 + 2.7498393615401572167e-2619j | 1.15e-995, 1.15e-995j |
| 7.9013854683955204993 + 5.1741683068039010836e-2630j | 1.17e-1002, 1.17e-1002j |
| 24.953349691931163332 + 4.0494391683655979737e-2623j | 3.58e-996, 3.58e-996j |
| 52.194445581764792501 - 4.0618349898742470173e-2618j | 1.86e-992, 1.86e-992j |
| 5.1152694741800666288 + 1.4295719233081631718e-2653j | 3.27e-1006, 3.27e-1006j |
| 37.071606224136948737 - 1.5096803230701063494e-2638j | 5.88e-994, 5.88e-994j |
| 144.58164210921630237 - 8.714230361848483183e-2652j | 7.28e-995, 7.28e-995j |
| 195.62743432060161867 + 1.0394178482795215956e-2670j | 8.61e-1000, 8.61e-1000j |
| 15.740678641278004578 - 2.9245023755303070253e-2691j | 1.63e-998, 1.63e-998j |
| 2.8367386770481438235 + 6.179494732142411905e-2700j | 1.54e-1009, 1.54e-1009j |
| 14.515357418934913783 - 3.4631651108420310247e-2691j | 6.47e-999, 6.47e-999j |
| 88.839270545267297706 - 1.1390012251660068867e-2682j | 9.51e-992, 9.51e-992j |
| 110.38845804481330555 - 7.4501171907373433942e-2702j | 1.58e-992, 1.58e-992j |
| 13.388671045798874628 - 2.3475497305265352031e-2716j | 1.83e-999, 1.83e-999j |
| 7.0459054023934656973 - 2.8197153896264935699e-2720j | 9.87e-1004, 9.87e-1004j |
| 39.843075044110005662 - 3.8696403043277277484e-2710j | 1.4e-993, 1.4e-993j |
| 62.911268944197082414 - 3.5225090220997477063e-2707j | 6.54e-992, 6.54e-992j |
| 59.190041211250979057 - 4.9293769606868692934e-2709j | 5.31e-992, 5.31e-992j |
| 31.884134001489790387 + 1.1314443673338658451e-2718j | 1.01e-994, 1.01e-994j |
| 6.0481856386490510059 + 2.4887331691259627712e-2729j | 5.28e-1005, 5.28e-1005j |
| 1.7392379621587989343 - 1.6561876047085265084e-2737j | 8.91e-1012, 8.91e-1012j |
| 42.737280005055833105 + 1.971484319511758186e-2717j | 2.91e-993, 2.91e-993j |
| 34.41960218152030489 + 1.5138847042959438741e-2718j | 2.61e-994, 2.61e-994j |
| 122.88323874949286733 - 3.6478813604239644318e-2715j | 3.01e-993, 3.01e-993j |
| 12.086183977398051599 + 1.5770012596569443939e-2747j | 2.85e-1000, 2.85e-1000j |
| 0.90370177679937991219 + 4.6488484229261756391e-2762j | 3.61e-1014, 3.61e-1014j |
| 1.2907516423859763463 - 3.5329902406236110093e-2760j | 5.71e-1013, 5.71e-1013j |
| 99.105691541534308176 - 9.4152344715297888213e-2738j | 4.57e-992, 4.57e-992j |
| 3.5070346595129127503 - 6.5828825818733345303e-2790j | 1.88e-1008, 1.88e-1008j |
| 66.790037433986373856 + 2.2268140115469736234e-2772j | 9.32e-992, 9.32e-992j |
| 8.4277459928670801772 + 2.5464634886566814447e-2822j | 2.94e-1002, 2.94e-1002j |
| 20.883059871410511712 - 9.4519984011495379741e-2817j | 3.69e-997, 3.69e-997j |
| 75.050548122017719522 + 8.9423007723776663489e-2810j | 1.21e-991, 1.21e-991j |
| 55.619748610745158283 + 1.0838720721681373743e-2851j | 3.29e-992, 3.29e-992j |
| 104.60945538797822258 + 6.5062680358200992358e-2906j | 2.87e-992, 2.87e-992j |
| 93.855167433635232673 + 1.2280806840672190244e-2952j | 6.88e-992, 6.88e-992j |
| 4.2667001702876587936 + 1.0195703597661006756e-2993j | 2.47e-1007, 2.47e-1007j |
| 19.017805062892713293 + 3.2696184783462048941e-2984j | 1.2e-997, 1.2e-997j |
| 0.17027963230510099979 - 2.8946453511752895431e-3003j | 5.2e-1018, 5.2e-1018j |
| 45.757843851329816857 + 1.3871946187640955277e-2977j | 6.25e-993, 6.25e-993j |
| 0.017301665014485987071 + 7.9711438815335979835e-3017j | 1.22e-1020, 1.22e-1020j |
| 2.2510866298661306893 + 1.0396385542438148362e-3006j | 1.09e-1010, 1.09e-1010j |
| 0.077552300892043356563 - 5.9155635282290503491e-3016j | 3.69e-1019, 3.69e-1019j |
| 116.46904200869167073 - 6.2502782255952210492e-2987j | 7.43e-993, 7.43e-993j |
| 136.88171905783907437 + 1.6416540927966853008e-3021j | 3.16e-994, 3.16e-994j |
| 70.833713355340975758 - 7.0969486765878650054e-3058j | 1.16e-991, 1.16e-991j |
| 0.33614852614075702719 - 8.3065414273080954313e-3109j | 8.25e-1017, 8.25e-1017j |
| 0.58317690138887931733 + 7.628635468951922289e-3108j | 1.61e-1015, 1.61e-1015j |
| 10.758516010180995224 + 2.1002357373630861708e-3093j | 4.57e-1001, 4.57e-1001j |
| 129.6707185034191929 + 3.3289374011693379222e-3083j | 1.01e-993, 1.01e-993j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 1.9694754465019040507e-91 - 2.1209855370999908327e-2183j | 1.21e-178, 5.22e-928j |
| 2.7960120346623272333e-74 - 3.5827676625757389295e-2173j | 2.06e-173, 8.87e-923j |
| 4.9714518276218466352e-79 - 2.0858043334932189721e-2176j | 3.74e-175, 1.61e-924j |
| 4.8680985690429679468e-70 + 1.1411018692327413116e-2171j | 1.95e-172, 8.39e-922j |
| 3.539772846158021258e-66 - 6.2803282668438154379e-2170j | 1.58e-171, 6.8e-921j |
| 5.1595769427820895266e-08 + 1.8154119022097838058e-2137j | 7.35e-122, 3.16e-871j |
| 1.4060483636539705028e-34 - 9.4105570624609449031e-2154j | 3.28e-158, 1.41e-907j |
| 9.0124597126688875854e-05 + 7.5357125870040687442e-2135j | 5.19e-109, 2.23e-858j |
| 2.3951644127500809008e-10 - 1.9021384834424086708e-2139j | 1.91e-129, 8.23e-879j |
| 1.4873119009946600206e-36 + 8.2071075175612799552e-2155j | 1.31e-159, 5.63e-909j |
| 3.7881515681120505657e-13 + 2.0867509145272222344e-2141j | 3.93e-136, 1.69e-885j |
| 1.8480616221057771644e-21 - 1.7707043974447169604e-2146j | 1.6e-148, 6.91e-898j |
| 3.6364261338267999775e-12 - 9.5513347669334136017e-2141j | 2.18e-134, 9.39e-884j |
| 0.0002008797000103592279 + 4.5453843741175706568e-2134j | 1.18e-110, 5.08e-860j |
| 3.1210094444875486223e-11 + 4.284992232809274055e-2140j | 1.3e-132, 5.59e-882j |
| 7.2091904764286692341e-23 + 2.7489622761394694445e-2147j | 1.45e-150, 6.25e-900j |
| 0.0053556801346599792912 - 4.3849454879840161485e-2134j | 4.31e-105, 1.86e-854j |
| 2.153628066109589084e-16 - 1.8084360685945918146e-2143j | 5.88e-143, 2.53e-892j |
| 1.2897996897090227969e-62 + 3.2322981599204821044e-2168j | 1.55e-174, 6.65e-924j |
| 1.5469217704440782008e-84 + 1.3292007758348118725e-2179j | 2.27e-182, 9.79e-932j |
| 2.0459359646687934936e-07 - 8.4555913519898512945e-2137j | 1.02e-127, 4.38e-877j |
| 0.036730151108874968148 + 1.331335373300609391e-2133j | 2.56e-101, 1.1e-850j |
| 5.3888592653370275661e-07 + 2.6703489029928349729e-2136j | 1.17e-126, 5.06e-876j |
| 1.282782966128761496e-38 - 6.5217142898761750762e-2156j | 2.35e-164, 1.01e-913j |
| 6.7856089020688996984e-48 - 8.9267384009682363267e-2161j | 4.04e-170, 1.74e-919j |
| 1.8820249258044774119e-06 - 5.4617824151893236532e-2136j | 3.02e-127, 1.3e-876j |
| 0.00087672901136642022942 - 3.6018228052376172425e-2134j | 1.27e-118, 5.48e-868j |
| 1.4076864712095428695e-17 + 3.4365163950137289766e-2144j | 1.61e-147, 6.95e-897j |
| 1.8098132351253958317e-27 - 7.1298233476991720208e-2150j | 5.22e-158, 2.25e-907j |
| 7.1739040391751043768e-26 + 5.5351529501350908869e-2149j | 1.37e-156, 5.89e-906j |
| 3.5238184879241943168e-14 - 4.4366776551493790801e-2142j | 2.66e-144, 1.15e-893j |
| 0.0022950261824390812163 + 3.4857529189053827338e-2134j | 7.8e-123, 3.35e-872j |
| 0.084138861424357715333 + 2.4173870259433249798e-2133j | 9.05e-111, 3.89e-860j |
| 8.1329814754055600178e-19 - 6.2400647528131265689e-2145j | 2.76e-150, 1.19e-899j |
| 2.9214977273915936664e-15 + 9.1275519003663064559e-2143j | 6.7e-146, 2.88e-895j |
| 2.8287931177275660485e-53 - 1.5344826128098716925e-2163j | 1.25e-175, 5.38e-925j |
| 7.5493504190195163624e-06 + 1.0471943707616007615e-2135j | 3.65e-134, 1.57e-883j |
| 0.1437618652916726267 + 3.4134971892360134858e-2133j | 3.7e-116, 1.59e-865j |
| 0.11504156938830059818 - 2.9253558036003226432e-2133j | 3.69e-116, 1.59e-865j |
| 4.8890609338149550869e-43 - 3.0351926394103327318e-2158j | 2.53e-170, 1.09e-919j |
| 0.02143137511475060233 - 9.0758626913487833803e-2134j | 2.07e-125, 8.92e-875j |
| 3.9006976126598386421e-29 + 8.5682147762788052217e-2151j | 2.31e-161, 9.92e-911j |
| 0.00017939118269580620686 - 3.1402704376127430263e-2134j | 1.03e-132, 4.44e-882j |
| 1.6398488177993107653e-09 + 8.4647918304023558204e-2139j | 1.03e-142, 4.44e-892j |
| 1.0966725893240662688e-32 + 9.8876878570885264702e-2153j | 5.13e-164, 2.21e-913j |
| 2.4452767932509296905e-24 - 4.0239398064408423361e-2148j | 9.78e-158, 4.21e-907j |
| 2.0881851616091381332e-45 + 1.75094787311458125e-2159j | 2.15e-172, 9.24e-922j |
| 8.8995054874456091342e-41 + 4.6923216193892472281e-2157j | 1.55e-169, 6.65e-919j |
| 0.011285536048183162271 + 6.1683992938067815626e-2134j | 2.05e-137, 8.8e-887j |
| 9.9300791842844800057e-09 - 3.8450529184103964556e-2138j | 5.6e-146, 2.41e-895j |
| 0.10436880312104751095 - 5.5592275590924422391e-2133j | 1.41e-135, 6.07e-885j |
| 4.1388732303249423033e-20 + 1.0789780282244424819e-2145j | 4.5e-156, 1.93e-905j |
| 0.042042539149947610659 - 1.2862879234706148141e-2133j | 3.89e-136, 1.67e-885j |
| 0.057550390452290804339 - 1.862786874183094768e-2133j | 7.52e-138, 3.24e-887j |
| 0.067106451054144471496 + 4.1792069069897569001e-2133j | 6.29e-136, 2.71e-885j |
| 1.6346554816942309856e-50 + 3.9806017027907836932e-2162j | 6.91e-176, 2.97e-925j |
| 2.6593284228886262668e-59 - 1.3987389447389353466e-2166j | 3.2e-181, 1.38e-930j |
| 7.1307125501813574145e-31 - 9.5685644180698190319e-2152j | 1.17e-165, 5.03e-915j |
| 0.14845608231276640271 + 4.8327922779172083312e-2133j | 1.08e-143, 4.64e-893j |
| 0.15905060203812676089 - 3.9980813913572223811e-2133j | 4.13e-144, 1.77e-893j |
| 2.7704391893009482548e-05 - 2.4484818570188460832e-2135j | 2.73e-148, 1.16e-897j |
| 3.3821032688721979881e-56 + 5.0481422220882135707e-2165j | 1.28e-179, 5.51e-929j |
All rules of Laguerre type can be downloaded here packed into a single file.