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.
    
Warning: This rule has negative weights!
| Node (ball center) | Error (ball radius) | 
|---|---|
| 167.75156569486468495 + 1.9184891501019427279e-2357j | 8.49e-1005, 8.49e-1005j | 
| 106.50070435800786357 - 1.7553256949474327623e-2369j | 7.15e-999, 7.15e-999j | 
| 152.84984385464746675 + 6.1233208276927683477e-2381j | 3.87e-1003, 3.87e-1003j | 
| 141.07216647863447109 + 2.6924363208420801679e-2398j | 6.17e-1002, 6.17e-1002j | 
| 122.03647764783165325 + 9.2061846161786823597e-2435j | 3.78e-1000, 3.78e-1000j | 
| 76.2691877761548946 - 2.4456458335511770554e-2466j | 2.93e-997, 2.93e-997j | 
| 12.809839019063956534 + 4.8565818304929000313e-2491j | 6.4e-1003, 6.4e-1003j | 
| 14.501292642300796639 + 2.3105632560069923167e-2491j | 3.25e-1002, 3.25e-1002j | 
| 19.774871246636789841 - 1.4702212527790077032e-2488j | 3.71e-1000, 3.71e-1000j | 
| 9.7500082014447782041 - 1.6237819365171184336e-2492j | 1.9e-1004, 1.9e-1004j | 
| 18.083542492243885514 - 4.4196078772519700735e-2489j | 8.9e-1001, 8.9e-1001j | 
| 71.253358324291062275 - 8.7234771788387255162e-2485j | 4.11e-997, 4.11e-997j | 
| 36.352989728675634079 + 4.7233053476668317376e-2490j | 5.98e-998, 5.98e-998j | 
| 21.386110825520344838 + 4.7288956981536685083e-2502j | 9.21e-1000, 9.21e-1000j | 
| 25.538271056557542933 + 2.3287289746951750997e-2500j | 3.71e-999, 3.71e-999j | 
| 11.223239673769254675 + 4.3827030953119541368e-2507j | 1e-1003, 1e-1003j | 
| 42.753756550109039136 + 6.421877958477573862e-2500j | 1.64e-997, 1.64e-997j | 
| 130.98618036961407807 + 1.7159683520124071701e-2515j | 6.33e-1001, 6.33e-1001j | 
| 3.8343455071274751198 + 1.7797027139509012993e-2549j | 3.15e-1009, 3.15e-1009j | 
| 46.215768862541425592 + 1.2578236861424812633e-2548j | 2.58e-997, 2.58e-997j | 
| 4.7286928238183570047 - 6.1948868318058842089e-2592j | 4.72e-1008, 4.72e-1008j | 
| 1.2627083649697538623 - 1.1549013882309226606e-2598j | 1.53e-1012, 1.53e-1012j | 
| 7.2011776197746125765 - 5.2097522260126974061e-2591j | 8.88e-1006, 8.88e-1006j | 
| 99.621972724905940433 + 4.3207546138383639466e-2616j | 2.04e-998, 2.04e-998j | 
| 81.580036682263024221 - 3.1608962030163587702e-2694j | 2.05e-997, 2.05e-997j | 
| 0.19331389355392371257 + 2.8575375372423046358e-2746j | 3.81e-1018, 3.81e-1018j | 
| 33.402500324222473871 - 2.1654360359258910077e-2762j | 3.22e-998, 3.22e-998j | 
| 8.3993284715919155634 + 1.2109356805797428121e-2801j | 3.85e-1005, 3.85e-1005j | 
| 49.862433376931048148 + 4.8286031209188616703e-2839j | 3.54e-997, 3.54e-997j | 
| 23.302146698768611425 - 2.5727594928212744977e-2903j | 1.78e-999, 1.78e-999j | 
| 30.614054057819239194 - 3.1401484205103368754e-2972j | 1.69e-998, 1.69e-998j | 
| 2.2942803602790417198 - 2.4174883125803651536e-3006j | 1.71e-1011, 1.71e-1011j | 
| 0.41577455678347908331 + 1.9334844987643525541e-3021j | 9.75e-1017, 9.75e-1017j | 
| 57.748822956788951787 - 3.5730188765119821511e-3017j | 4.81e-997, 4.81e-997j | 
| 5.605787386329110327 + 1.4202533590509922093e-3055j | 5.67e-1007, 5.67e-1007j | 
| 66.507865175696967625 + 1.4768359225252590798e-3044j | 4.68e-997, 4.68e-997j | 
| 27.988918437907975807 + 4.1143069015879454343e-3057j | 8.6e-999, 8.6e-999j | 
| 1.6659389830205541848 + 7.4889971556945649921e-3071j | 2.49e-1012, 2.49e-1012j | 
| 39.468380144400484344 + 3.6319045543401752638e-3055j | 1.06e-997, 1.06e-997j | 
| 113.93323591053413435 + 1.117199215092397929e-3077j | 1.92e-999, 1.92e-999j | 
| 93.214206125791335278 + 5.133851699668779091e-3136j | 5.22e-998, 5.22e-998j | 
| 87.21595895252248468 - 1.1795408876083009481e-3216j | 1.11e-997, 1.11e-997j | 
| 1.1912433960891918819 + 3.0115930173762704259e-3275j | 9.16e-1013, 9.16e-1013j | 
| 3.0171793610999622105 + 3.2121493803899254763e-3264j | 2.16e-1010, 2.16e-1010j | 
| 0.73971832779489493166 + 3.2120300447588392828e-3280j | 3.62e-1015, 3.62e-1015j | 
| 53.703146322746247938 + 2.4775033711237272021e-3288j | 4.6e-997, 4.6e-997j | 
| 16.27841739968505949 + 4.5233356651917351682e-3322j | 1.84e-1001, 1.84e-1001j | 
| 6.2899450829374791969 - 7.0457101243843878784e-3332j | 2.61e-1006, 2.61e-1006j | 
| 0.068378627123824838559 - 7.8493780621978331335e-3350j | 1.41e-1019, 1.41e-1019j | 
| 0.013993151608491287585 + 5.0448978205159732572e-3350j | 6.11e-1021, 6.11e-1021j | 
| 62.012137113995062971 + 1.5940281428278892087e-3336j | 5.35e-997, 5.35e-997j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.4719375540698074011e-72 - 2.6216155523615548196e-2429j | 2.05e-198, 6.16e-950j | 
| 3.9902686084323348321e-46 + 3.7165539500977480036e-2415j | 3.1e-189, 9.28e-941j | 
| 5.3770978978788033645e-66 + 1.0732780262987963834e-2426j | 1.05e-196, 3.15e-948j | 
| 5.8432799947686505413e-61 - 4.1407642899082343674e-2424j | 2.85e-195, 8.54e-947j | 
| 8.4948581859372316692e-53 - 1.3966926700728400562e-2419j | 1.1e-192, 3.29e-944j | 
| 3.8838603362999613973e-33 - 2.486125531417292275e-2409j | 7.52e-185, 2.26e-936j | 
| 4.4856938550403208863e-06 + 5.1989359805120725569e-2393j | 5.29e-152, 1.59e-903j | 
| 8.7604114603723138176e-07 - 1.864543112743158212e-2393j | 1.83e-154, 5.48e-906j | 
| 4.1195686081139508978e-09 + 1.3004708291096058851e-2394j | 4.59e-161, 1.37e-912j | 
| 8.2433029514862708837e-05 + 4.7585482568301143637e-2392j | 5.44e-149, 1.63e-900j | 
| 2.4909084906457017494e-08 - 3.0217189449070259384e-2394j | 2.46e-159, 7.37e-911j | 
| 5.5361229698687990286e-31 + 3.356855802496883856e-2408j | 8.91e-186, 2.67e-937j | 
| 4.9415285176719538547e-16 - 1.1198711814358198971e-2399j | 2.22e-174, 6.65e-926j | 
| 8.8648327687790822004e-10 - 4.4247681296612738364e-2395j | 1.18e-163, 3.53e-915j | 
| 1.908682920577355467e-11 - 1.6410887689326283094e-2396j | 9.87e-168, 2.96e-919j | 
| 2.0455160208197449236e-05 - 1.5288985528452214635e-2392j | 2.21e-154, 6.62e-906j | 
| 9.1248881575641718107e-19 - 2.3316039167135316282e-2401j | 4.33e-178, 1.3e-929j | 
| 1.2277242420051335539e-56 + 9.1551210975766112753e-2422j | 1.38e-198, 4.15e-950j | 
| 0.018611919710135894992 + 4.5941367030855467585e-2390j | 3.36e-145, 1.01e-896j | 
| 3.0152852004018032774e-20 + 3.0849790004212983296e-2402j | 6e-180, 1.8e-931j | 
| 0.0080960003143534939516 - 3.261135262068954432e-2390j | 2.14e-148, 6.42e-900j | 
| -0.081698923824675770244 + 4.0056707819575818595e-2388j | 1.79e-134, 5.38e-886j | 
| 0.00081499493794763838996 + 6.0658846861522072675e-2391j | 2.65e-153, 7.95e-905j | 
| 3.6003161148517637485e-43 - 3.8322511589998694411e-2414j | 5.25e-194, 1.57e-945j | 
| 2.0326228768226706889e-35 + 1.6706844372114179255e-2410j | 2.44e-190, 7.3e-942j | 
| 0.14209947722403077286 + 4.7399771351045455316e-2389j | 3.73e-140, 1.12e-891j | 
| 8.938095648953384079e-15 + 7.2250731056600350955e-2399j | 1.17e-175, 3.5e-927j | 
| 0.00028879951278454735176 - 1.6072453058050398536e-2391j | 2.48e-158, 7.44e-910j | 
| 8.2817935403779980945e-22 - 3.8193344716235119466e-2403j | 1.45e-182, 4.34e-934j | 
| 1.5927388919693004821e-10 + 9.504077655401874047e-2396j | 2.18e-170, 6.54e-922j | 
| 1.3710625757521205432e-13 - 4.4997549360208440083e-2398j | 7.57e-175, 2.27e-926j | 
| 0.06801322996211340983 + 1.6881204966959153653e-2389j | 3.49e-153, 1.05e-904j | 
| 0.18000495589469362918 - 4.8702334429719733829e-2389j | 1.43e-148, 4.29e-900j | 
| 3.4537057967491024366e-25 - 4.6845289280466231778e-2405j | 4.36e-186, 1.31e-937j | 
| 0.0028732489065564487054 + 2.7794438122923348238e-2390j | 2.13e-160, 6.39e-912j | 
| 6.0312278882178721568e-29 - 4.1131287685282984388e-2407j | 2.32e-188, 6.96e-940j | 
| 1.7766283478448410171e-12 + 2.7365580119899290446e-2397j | 1.27e-174, 3.8e-926j | 
| 0.11109482834259348787 - 5.8468163386785277143e-2389j | 4.64e-158, 1.39e-909j | 
| 2.3129593846468041418e-17 + 1.6593777348541467491e-2400j | 2.06e-179, 6.16e-931j | 
| 2.5610904672585930008e-49 + 1.934890103054907263e-2417j | 1.57e-199, 4.7e-951j | 
| 2.0396943924595270582e-40 + 5.9884708607522808807e-2413j | 1.15e-195, 3.45e-947j | 
| 7.7051005813695100397e-38 - 1.0274753429789936208e-2411j | 2.21e-194, 6.62e-946j | 
| 0.22164357633663377166 - 3.9036075595453405962e-2388j | 5.39e-165, 1.61e-916j | 
| 0.037735255334341969829 - 7.9270267816872139889e-2390j | 3.69e-168, 1.1e-919j | 
| 0.17947031507663028996 + 6.176199193083097298e-2389j | 5.06e-166, 1.51e-917j | 
| 1.873495372272700736e-23 + 4.398295932308336692e-2404j | 7.65e-187, 2.29e-938j | 
| 1.5389971193176738184e-07 + 7.1667325087881420383e-2394j | 1.19e-175, 3.49e-927j | 
| 0.0013122113702181048323 - 1.8042786755178578549e-2390j | 1.22e-171, 3.57e-923j | 
| 0.07624456750090197853 - 4.1251052644297138006e-2389j | 8.58e-170, 2.47e-921j | 
| 0.033287109480883562054 + 1.7309116948040543616e-2389j | 3.76e-170, 1.08e-921j | 
| 5.1242923310298100218e-27 + 4.5891102070655675217e-2406j | 5.16e-189, 1.55e-940j | 
All rules of Laguerre type can be downloaded here packed into a single file.