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) | 
|---|---|
| 183.33623738100694141 + 1.2806573924263273735e-335j | 9.65e-334, 9.65e-334j | 
| 119.88097681738540757 - 7.8648093554557244265e-341j | 3.78e-338, 3.78e-338j | 
| 136.05381663514138944 - 1.0529099108220097094e-351j | 2.2e-349, 2.2e-349j | 
| 167.96487067164745241 + 1.4596468474172009203e-357j | 1.25e-355, 1.25e-355j | 
| 30.578124993449022575 + 4.0130762452831287858e-364j | 5.15e-362, 5.15e-362j | 
| 145.34262564866992411 + 6.9161764528576876533e-369j | 9.88e-367, 9.88e-367j | 
| 99.698197224998410219 - 1.074461840799617677e-387j | 2.22e-385, 2.22e-385j | 
| 105.99063916632999247 - 3.8795164765468731101e-402j | 4.38e-400, 4.38e-400j | 
| 17.205481464219114565 - 1.3222754120007703046e-428j | 1.23e-425, 1.23e-425j | 
| 39.022838755063656467 + 4.4132234731015724016e-412j | 3.16e-410, 3.16e-410j | 
| 19.12622188851013496 - 5.6912649895097627302e-430j | 7.48e-428, 7.48e-428j | 
| 52.369273231043377732 + 2.9430056791129449374e-406j | 1.65e-404, 1.65e-404j | 
| 48.791072831660686442 - 1.2331450179769018431e-410j | 7.2e-409, 7.2e-409j | 
| 21.168662747002224991 - 3.2182263232679613109e-432j | 1.32e-429, 1.32e-429j | 
| 33.254456472402474838 - 6.3374938876580393109e-418j | 3.57e-416, 3.57e-416j | 
| 64.18164900202704622 + 9.449588334873028812e-424j | 5.25e-422, 5.25e-422j | 
| 88.172680401835850725 - 1.9484344102980700026e-447j | 1.87e-445, 1.87e-445j | 
| 9.0720472619082311575 + 8.625925414134769554e-498j | 3.06e-493, 3.06e-493j | 
| 155.78991231363996131 - 1.3979151713878028114e-461j | 1.02e-459, 1.02e-459j | 
| 77.840075349147599526 - 3.2004545839263545734e-476j | 3.64e-474, 3.64e-474j | 
| 3.369839231310923141 + 1.3725867188500762435e-525j | 6.27e-497, 6.27e-497j | 
| 15.411049476442019863 - 1.1846100903739203054e-516j | 2.65e-490, 2.65e-490j | 
| 10.383765186968690506 + 8.1177901908101891528e-524j | 2.69e-492, 2.69e-492j | 
| 82.870618605941653011 + 3.1442123807402396713e-497j | 7.14e-485, 7.14e-485j | 
| 68.512185703150611706 - 1.6931947973344514677e-509j | 1.23e-484, 1.23e-484j | 
| 13.768277024647049067 + 4.1396259453243915469e-551j | 1e-490, 1e-490j | 
| 60.055078244391735277 - 8.9642636613612874711e-516j | 1.01e-484, 1.01e-484j | 
| 3.4849364779110753601 - 7.8376066930438513549e-559j | 1.3e-496, 1.3e-496j | 
| 25.620749295219499964 - 7.9280903508346000205e-535j | 7.85e-488, 7.85e-488j | 
| 12.438835636362665227 + 2.323511409058634566e-556j | 4.84e-491, 4.84e-491j | 
| 28.034765910296604955 + 4.7050818994497901769e-532j | 2.11e-487, 2.11e-487j | 
| 11.57041287682063097 + 6.0096099971464685525e-553j | 1.93e-491, 1.93e-491j | 
| 5.6127759611126063262 + 4.9472884288301142927e-561j | 7.3e-496, 7.3e-496j | 
| 36.067843042784605636 - 2.1456136243030644103e-527j | 2.94e-486, 2.94e-486j | 
| 56.120978625122273656 - 1.4847501091729874774e-524j | 8.49e-485, 8.49e-485j | 
| 45.378493366288486293 - 1.3032892903494388776e-530j | 2.41e-485, 2.41e-485j | 
| 3.7068293223182415456 + 4.6610445046502572491e-565j | 9.17e-497, 9.17e-497j | 
| 0.61955665428714360774 + 2.8093761995986171943e-593j | 2.65e-505, 2.65e-505j | 
| 42.124509859521303346 - 4.4035569257245486253e-534j | 1.32e-485, 1.32e-485j | 
| 7.8232631436879996743 + 4.5667109225451298005e-565j | 3.72e-494, 3.72e-494j | 
| 112.69726101033114398 - 7.6371788156181554659e-550j | 2.42e-486, 2.42e-486j | 
| 23.332915101402519044 - 1.679587293279804742e-575j | 2.77e-488, 2.77e-488j | 
| 1 - 2.3308657184955103666e-613j | 8.5e-504, 8.5e-504j | 
| 1.4616079057440004201 - 2.3467267375853298942e-604j | 2.22e-502, 2.22e-502j | 
| 0.052485028214125533477 - 3.1344123368283287018e-611j | 1.07e-507, 1.07e-507j | 
| 127.62659449065028868 + 7.1974668289405994134e-588j | 1.8e-487, 1.8e-487j | 
| 93.77160070915924935 - 2.6472792253063576102e-630j | 2.79e-485, 2.79e-485j | 
| 2.5881521468595084418 - 3.3479552683444593574e-675j | 1.86e-499, 1.86e-499j | 
| 1.9946843180543350135 - 4.5109438682162861144e-678j | 6.71e-501, 6.71e-501j | 
| 0.056897625001077184683 + 2.7383636692002584029e-686j | 1.41e-507, 1.41e-507j | 
| 4.6593170713888545915 + 5.4252924500713164854e-669j | 1.27e-496, 1.27e-496j | 
| 6.6676149816610979114 - 1.1061590532923473416e-668j | 4.63e-495, 4.63e-495j | 
| 73.059894904032803624 - 3.1438311184061266839e-662j | 1.09e-484, 1.09e-484j | 
| 0.097980875760985309374 + 8.2322384093146161232e-716j | 6.5e-508, 6.5e-508j | 
| 0.3244017905872709546 - 3.8609685249357509664e-717j | 1.03e-506, 1.03e-506j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 4.3421404162771667071e-79 - 3.6765804402436092858e-408j | 3.12e-188, 1.03e-276j | 
| 6.4328623061264280249e-52 + 2.7022621950687306643e-392j | 9.63e-179, 3.18e-267j | 
| 7.212675005353144828e-59 - 6.2481695715748272119e-397j | 9.85e-182, 3.26e-270j | 
| 1.5140811471535540165e-72 + 1.2923474825991469441e-404j | 5.34e-187, 1.77e-275j | 
| 1.3696098565757713941e-13 + 2.8365932203738698595e-372j | 2.56e-152, 8.48e-241j | 
| 7.4114374875031721397e-63 + 3.0741244002666229302e-399j | 1.66e-183, 5.49e-272j | 
| 3.0699091775148563679e-43 - 1.1663800989009786979e-388j | 6.4e-177, 2.11e-265j | 
| 6.0412204967543992537e-46 + 5.8462065940040395012e-390j | 7.27e-178, 2.4e-266j | 
| 6.2669134330454512129e-08 + 3.4618574953910981556e-368j | 2.19e-144, 7.23e-233j | 
| 3.417216828168700749e-17 - 1.6338988024708404071e-374j | 2.51e-160, 8.3e-249j | 
| 9.7869066934963975934e-09 - 7.3435621372935105342e-369j | 8.25e-147, 2.73e-235j | 
| 6.6102363211850135413e-23 - 7.5620715065822075029e-378j | 1.2e-166, 3.96e-255j | 
| 2.2576056286509152489e-21 + 5.6879228360505541537e-377j | 3.12e-165, 1.03e-253j | 
| 1.3472121132918043565e-09 + 1.5809041130121668396e-369j | 2.13e-150, 7.05e-239j | 
| 9.9124126519078662852e-15 - 5.3394085742565940194e-373j | 3.29e-158, 1.09e-246j | 
| 5.6525644435894786786e-28 + 1.1309746761176981988e-380j | 1.01e-171, 3.35e-260j | 
| 2.774329831414009133e-38 - 3.704128673134938044e-386j | 5e-178, 1.65e-266j | 
| 0.000148080721185547823 + 2.3950658098718282347e-365j | 1.04e-142, 3.45e-231j | 
| 2.4529142873839468266e-67 - 9.4553211488809820181e-402j | 2.55e-190, 8.44e-279j | 
| 7.6713175626506250323e-34 - 7.7890612561138210562e-384j | 2.61e-176, 8.64e-265j | 
| 0.093885391612348805757 - 7.5252148260530477739e-362j | 4.14e-132, 1.37e-220j | 
| 3.5016183822123726401e-07 - 1.7170107493260977614e-367j | 2.05e-151, 6.77e-240j | 
| 4.057962503083225388e-05 - 1.3379562706858836463e-365j | 5.88e-147, 1.94e-235j | 
| 5.2796439539882062752e-36 + 5.659336725781997796e-385j | 2.45e-177, 8.11e-266j | 
| 7.8091169942637483762e-30 - 1.0957493242164513289e-381j | 1.79e-174, 5.92e-263j | 
| 1.6144239261303593645e-06 + 9.473228478989404367e-367j | 1.94e-152, 6.41e-241j | 
| 3.3385605009644016746e-26 - 1.0710831101546068644e-379j | 1.78e-172, 5.9e-261j | 
| -0.098888084285896304023 + 1.0098792586860621904e-361j | 1.85e-139, 6.11e-228j | 
| 1.7546852724390656498e-11 + 7.0925683131260567299e-371j | 5.31e-161, 1.75e-249j | 
| 4.0719706974401801968e-06 - 4.635735071344012569e-366j | 1.44e-152, 4.76e-241j | 
| 1.6549249662127731451e-12 - 1.4445257315624379006e-371j | 3.57e-162, 1.18e-250j | 
| 9.0368777536150971037e-06 + 9.1825163196784663859e-366j | 2.79e-152, 9.23e-241j | 
| 0.0036634553041724402104 - 3.983032647820504596e-364j | 6.65e-149, 2.2e-237j | 
| 6.2494003733653850477e-16 + 9.5855521423346818686e-374j | 4.88e-166, 1.61e-254j | 
| 1.6272345024736410069e-24 + 9.3517611804695565753e-379j | 5.97e-173, 1.97e-261j | 
| 6.5327894260342326325e-20 - 3.9962064197911968087e-376j | 3.02e-170, 9.99e-259j | 
| 0.044226324719493758398 - 3.1270802208218253105e-362j | 3e-150, 9.91e-239j | 
| 0.18193570718190253954 + 4.7678945623385079724e-363j | 2.27e-150, 7.5e-239j | 
| 1.6126967587269171723e-18 + 2.6332354352658914448e-375j | 3.01e-169, 9.96e-258j | 
| 0.00048207504498613203026 - 5.312770122883002129e-365j | 4.12e-156, 1.36e-244j | 
| 7.8910214151858454029e-49 - 3.1766028950629267477e-391j | 6.6e-189, 2.18e-277j | 
| 1.6372068119701028628e-10 - 3.3818779976086941239e-370j | 3.05e-164, 1.01e-252j | 
| 0.1552973011485631394 - 4.4519157628962307719e-363j | 7.46e-153, 2.46e-241j | 
| 0.11580732324076840127 + 4.6417255492335097465e-363j | 7.02e-154, 2.32e-242j | 
| 1.5403014287468943193 + 1.9489859288306504263e-361j | 2.44e-153, 8.07e-242j | 
| 3.0126566213110055569e-55 + 1.0944584514698375391e-394j | 2.64e-192, 8.72e-281j | 
| 1.0857100109779997304e-40 + 2.1824509112858866719e-387j | 1.04e-184, 3.44e-273j | 
| 0.047060463843027433667 + 7.3548007985994882315e-363j | 1.32e-157, 4.38e-246j | 
| 0.076774781112079259304 - 5.4125839267069540827e-363j | 1.84e-157, 6.08e-246j | 
| -1.6770917472625910123 - 2.2646881620967305735e-361j | 4.54e-156, 1.5e-244j | 
| 0.0085913029292565067636 + 1.4648234700536790285e-363j | 2.03e-159, 6.7e-248j | 
| 0.0014061193456628910925 + 1.3569045897745968674e-364j | 8.22e-161, 2.72e-249j | 
| 8.689371230163969169e-32 + 9.6927547853452338754e-383j | 2.68e-180, 8.86e-269j | 
| 0.32368454494723039356 + 3.506561629956193138e-362j | 2.09e-158, 7e-247j | 
| 0.1826598046053463788 - 6.0252946314071527607e-363j | 3.07e-159, 1.01e-247j | 
All rules of Laguerre type can be downloaded here packed into a single file.