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) | 
|---|---|
| 163.78869593628627479 + 9.9877333090702791332e-348j | 5.43e-346, 5.43e-346j | 
| 179.04418591546769412 - 1.2910603640782556893e-352j | 9.26e-351, 9.26e-351j | 
| 116.13272243951243463 + 2.2028688143787260951e-331j | 1.2e-329, 1.2e-329j | 
| 141.3535940183662595 - 2.5057144985188581684e-340j | 2.16e-338, 2.16e-338j | 
| 132.14843367038235963 - 1.0452312810734102813e-336j | 6.23e-335, 6.23e-335j | 
| 23.440923140376980586 - 1.3420224371159861701e-354j | 7.27e-353, 7.27e-353j | 
| 6.6362266832251170834 - 4.2491303236060960953e-372j | 5.24e-370, 5.24e-370j | 
| 123.80112287902889415 + 2.0241482303835901916e-335j | 3.17e-333, 3.17e-333j | 
| 46.037758740141007208 - 1.088706425734708521e-340j | 5.97e-338, 5.97e-338j | 
| 109.02421709935283088 - 9.3342917037574274513e-338j | 5.1e-336, 5.1e-336j | 
| 49.545440602901497302 + 1.5555635534536809519e-346j | 1.66e-344, 1.66e-344j | 
| 12.627051119829555935 + 1.060747929022117732e-376j | 6.12e-375, 6.12e-375j | 
| 42.696003955130012499 - 1.3474461121733613382e-347j | 9.23e-346, 9.23e-346j | 
| 79.556875045655223294 + 1.9743632697711906249e-352j | 2.31e-350, 2.31e-350j | 
| 28.254480545935110312 + 1.1222029740683083217e-373j | 6.62e-372, 6.62e-372j | 
| 2.6307576306098249721 - 6.7303850207240721466e-401j | 4.98e-397, 4.98e-397j | 
| 7.8232631436879996743 + 1.2703441001892270435e-398j | 8.49e-397, 8.49e-397j | 
| 1.4704610360411319012 + 4.263991484943747895e-402j | 2.35e-400, 2.35e-400j | 
| 151.71175086169499745 + 7.5780136251735517329e-368j | 8.68e-366, 8.68e-366j | 
| 25.783290141602299402 - 4.2309142511747416232e-377j | 5.79e-375, 5.79e-375j | 
| 69.886223653640129711 - 2.9479844677765682691e-370j | 3.11e-367, 3.11e-367j | 
| 5.5640841709325606716 - 4.0141672608753146797e-411j | 3.1e-409, 3.1e-409j | 
| 57.090948363822723921 + 1.6184289170985414933e-383j | 1.19e-381, 1.19e-381j | 
| 39.513179389628640997 + 3.8638537466231536891e-394j | 6.4e-392, 6.4e-392j | 
| 65.408341656563157599 - 1.9159777229622820831e-408j | 5.65e-406, 5.65e-406j | 
| 2.0206302391446468612 + 2.2822223851598336263e-458j | 3.22e-456, 3.22e-456j | 
| 3.4849364779110753601 - 2.9166034159350737134e-455j | 1.63e-453, 1.63e-453j | 
| 10.561208835011173744 - 1.5569579316060172162e-447j | 1.49e-445, 1.49e-445j | 
| 17.143202004675389513 - 1.5038445414015505844e-439j | 8.89e-438, 8.89e-438j | 
| 74.596474004452028563 - 1.4108043321531029968e-428j | 1e-426, 1e-426j | 
| 53.226891747571343983 - 9.2820693580672779968e-448j | 5.98e-446, 5.98e-446j | 
| 36.483011260354263294 - 9.2807341281479209366e-465j | 1.38e-462, 1.38e-462j | 
| 13.271271652158229649 - 6.7077729402388454001e-489j | 1.9e-486, 1.9e-486j | 
| 3.7068293223182415456 + 5.4659312003135479938e-507j | 7.7e-497, 7.7e-497j | 
| 1 - 4.3137729030699205419e-535j | 8.12e-504, 8.12e-504j | 
| 61.147624336460287528 - 4.7071274465024671839e-483j | 2.6e-481, 2.6e-481j | 
| 0.095437162418107254506 - 1.8392474524642109735e-561j | 5.91e-508, 5.91e-508j | 
| 0.056897625001077184683 + 4.3866666082068411319e-563j | 1.39e-507, 1.39e-507j | 
| 12.438835636362665227 - 1.1949231059850798123e-515j | 3.3e-490, 3.3e-490j | 
| 30.858560896829208783 + 6.3755272263196271067e-507j | 2.35e-487, 2.35e-487j | 
| 96.171365785685705074 + 4.0171860098619614069e-536j | 4.88e-486, 4.88e-486j | 
| 33.599846039089938084 - 3.3054806634691535963e-562j | 5.97e-487, 5.97e-487j | 
| 9.1268771271146616526 + 1.2693892535536862401e-586j | 1.77e-493, 1.77e-493j | 
| 0.3215208031274231831 - 2.2836512516591969937e-629j | 8.57e-507, 8.57e-507j | 
| 19.12622188851013496 - 3.3882692973915702577e-574j | 1.59e-489, 1.59e-489j | 
| 102.39128330448243918 + 6.9568129845730548335e-594j | 2.1e-486, 2.1e-486j | 
| 21.223369064710692261 - 1.2611778213747053861e-624j | 4.92e-489, 4.92e-489j | 
| 0.052485028214125533477 + 4.9893291550183572403e-670j | 9.38e-508, 9.38e-508j | 
| 0.61656865206089706011 + 7.8059780567534366475e-670j | 2.76e-505, 2.76e-505j | 
| 3.369839231310923141 - 1.9985503344668398012e-646j | 5.13e-497, 5.13e-497j | 
| 90.316406421283926522 + 7.5392099879358348863e-637j | 8.98e-486, 8.98e-486j | 
| 84.78845566741355583 - 1.0810144027130961052e-658j | 1.5e-485, 1.5e-485j | 
| 15.258489384453228571 - 1.1092584396266615978e-695j | 2.06e-490, 2.06e-490j | 
| 4.6100534724383758491 - 2.7216169659335344504e-707j | 1.01e-496, 1.01e-496j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.7821134169205375112e-71 + 7.640407082581959444e-390j | 1.66e-193, 8e-275j | 
| 3.1517054678748532775e-77 - 2.6622684490849492342e-393j | 1.11e-195, 5.34e-277j | 
| 2.7026460795991947839e-50 - 8.8968704021827703369e-379j | 8.17e-187, 3.92e-268j | 
| 3.9672538370938151089e-61 + 1.1038727519534006358e-384j | 4.45e-191, 2.14e-272j | 
| 3.5493448773641447132e-57 - 1.5273329986197511843e-382j | 8.11e-190, 3.9e-271j | 
| 1.5049929079204448206e-10 + 2.9546958340355610444e-355j | 1.7e-157, 8.18e-239j | 
| 0.0014822737265926718651 - 1.0537869376972667492e-349j | 3.81e-132, 1.83e-213j | 
| 1.3679986477033743369e-53 + 1.3761731426575000285e-380j | 1.18e-188, 5.65e-270j | 
| 3.4715546073947169008e-20 + 2.2599494509926608001e-360j | 6.53e-172, 3.14e-253j | 
| 3.0734880423124295569e-47 + 4.3347697404488940933e-377j | 3.13e-187, 1.5e-268j | 
| 1.0918620488037986255e-21 + 1.3746443707429528419e-361j | 1.3e-173, 6.25e-255j | 
| -2.6389361193339113368e-05 + 4.0736359470111398655e-350j | 4.25e-150, 2.04e-231j | 
| 9.3483906272096171066e-19 - 8.2604836049695078971e-360j | 5.01e-171, 2.41e-252j | 
| 1.4315003989299581791e-34 - 6.6375367982480884884e-370j | 1.57e-183, 7.54e-265j | 
| 1.3600204737629763849e-12 + 1.3416658019389599943e-356j | 3.41e-165, 1.64e-246j | 
| 0.04544116605252168994 - 7.2524612447756956489e-348j | 7.79e-128, 3.75e-209j | 
| 0.0004981861457430797404 + 3.7137103740369283091e-350j | 1.16e-144, 5.58e-226j | 
| 0.11773358117388140667 - 3.8368868941382589812e-348j | 5.37e-120, 2.58e-201j | 
| 1.4361044758822242067e-65 - 4.4728994228600619068e-387j | 2.13e-195, 1.02e-276j | 
| 1.5267770264217342761e-11 - 6.312422397036237586e-356j | 7.48e-164, 3.6e-245j | 
| 2.0452095623247057861e-30 - 1.9421050059217087666e-367j | 1.19e-181, 5.7e-263j | 
| 0.0038861126349741167277 + 3.4929541391284269776e-349j | 1.13e-143, 5.44e-225j | 
| 6.3570631350816222849e-25 + 5.6225320621625594387e-364j | 2.93e-178, 1.41e-259j | 
| 2.1467256268077200903e-17 + 2.8941142843272633668e-359j | 2.26e-172, 1.09e-253j | 
| 1.7127607683082031625e-28 + 2.9118659477160266468e-366j | 6.66e-181, 3.2e-262j | 
| 0.077531288480126069423 + 4.6711434933257129751e-348j | 4.14e-136, 1.99e-217j | 
| -0.073537937978057840385 - 1.0008436667944807306e-346j | 1.05e-142, 5.06e-224j | 
| 3.9246911880125272947e-05 + 7.5656992842270843956e-351j | 1.86e-156, 8.95e-238j | 
| 6.9219264084314455981e-08 - 3.4317596556894573419e-353j | 3.26e-163, 1.57e-244j | 
| 1.937761948072290436e-32 + 1.1931859948389530944e-368j | 1.1e-183, 5.3e-265j | 
| 2.8862438537126847868e-23 - 7.9311868861590833781e-363j | 1.54e-177, 7.4e-259j | 
| 4.2296105349733044608e-16 - 1.2725932622480620415e-358j | 3.61e-173, 1.73e-254j | 
| 5.5344541296258220515e-06 - 6.2157032572084637827e-351j | 4.32e-162, 2.07e-243j | 
| 0.036281483134552509995 + 3.0935944545497826342e-347j | 1.85e-150, 8.91e-232j | 
| 0.15728321606067321024 + 3.7042917753065914696e-348j | 1.94e-144, 9.31e-226j | 
| 1.1552311812519088424e-26 - 4.1072297740623546048e-365j | 3.1e-180, 1.49e-261j | 
| 0.34608289460305912651 - 3.4242124726777068824e-347j | 7.22e-145, 3.47e-226j | 
| -1.7717397651274953793 + 2.1485449676176467899e-346j | 6.83e-145, 3.28e-226j | 
| 3.1023512288288920171e-05 - 3.7582715133279103399e-350j | 4.05e-161, 1.94e-242j | 
| 1.059554851372317608e-13 - 2.8304777927431362882e-357j | 5.77e-172, 2.77e-253j | 
| 1.0319330948695970079e-41 + 5.3383242795229435413e-374j | 2.59e-191, 1.24e-272j | 
| 7.1894666956982075524e-15 + 5.9570131084636379559e-358j | 3.05e-173, 1.47e-254j | 
| 0.00014832818033810597023 - 1.5056811532191890567e-350j | 7.47e-163, 3.59e-244j | 
| 0.18251802184104971441 + 5.2730145638158732017e-348j | 2.05e-154, 9.86e-236j | 
| 1.0068052272614663407e-08 + 6.6804137961118223105e-354j | 3.57e-169, 1.72e-250j | 
| 2.1846862578642687313e-44 - 1.6794353896924821425e-375j | 1.23e-192, 5.93e-274j | 
| 1.3078738830592782153e-09 - 1.3885839302614081805e-354j | 1.09e-170, 5.24e-252j | 
| 1.6106300258274584724 - 1.8370302530839674869e-346j | 2.25e-156, 1.08e-237j | 
| 0.1830439475166097419 - 4.0626519160107221091e-348j | 4.15e-159, 2e-240j | 
| 0.073764985443860163452 + 7.49609185486404996e-347j | 1.26e-160, 6.04e-242j | 
| 3.3952807945081604992e-39 - 1.4287884284688288065e-372j | 1.76e-190, 8.46e-272j | 
| 8.0766876120860489129e-37 + 3.2897991622363407863e-371j | 3.67e-189, 1.76e-270j | 
| 4.3708306311580235499e-07 + 2.1242946326018414243e-352j | 5.45e-170, 2.63e-251j | 
| 0.0089022589215144118966 - 1.488977218639381041e-348j | 1.54e-165, 7.31e-247j | 
All rules of Laguerre type can be downloaded here packed into a single file.