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) | 
|---|---|
| 148.13471866958453225 + 1.6656168803457163671e-1301j | 8.39e-496, 8.39e-496j | 
| 96.84684910662741867 - 5.867622720775474714e-1296j | 7.52e-491, 7.52e-491j | 
| 113.01022242031376908 - 2.2387880786466507725e-1298j | 3.13e-492, 3.13e-492j | 
| 122.61259405690427255 + 1.1600128798753510647e-1299j | 4.29e-493, 4.29e-493j | 
| 133.85938601907734047 - 1.3627899064231595977e-1301j | 2.98e-494, 2.98e-494j | 
| 13.090128715432888258 + 2.4531710176754976628e-1301j | 1.51e-493, 1.51e-493j | 
| 83.36706678953584378 - 1.0958469991923766539e-1295j | 5.7e-490, 5.7e-490j | 
| 37.507495288730359772 + 1.7197933162165005781e-1308j | 1.05e-489, 1.05e-489j | 
| 77.362116123281384117 + 3.6089201045278015073e-1330j | 1.14e-489, 1.14e-489j | 
| 18.426547563031984013 + 1.7757779527756497546e-1341j | 3.2e-492, 3.2e-492j | 
| 40.960955029299548689 + 4.2295720705459749188e-1353j | 1.81e-489, 1.81e-489j | 
| 3.4142135623730950488 - 6.5851455738614847889e-1379j | 1.62e-499, 1.62e-499j | 
| 89.835234564437777537 + 1.163430536145395218e-1367j | 2.2e-490, 2.2e-490j | 
| 25.568678025623184941 + 1.1427707473310196556e-1373j | 6.16e-491, 6.16e-491j | 
| 31.178735314531446029 + 2.5924274120508124002e-1377j | 3.07e-490, 3.07e-490j | 
| 11.699795418574124174 - 4.5797470972923276849e-1401j | 3.98e-494, 3.98e-494j | 
| 6.196205771340291157 - 2.7516088780638671046e-1407j | 1.65e-497, 1.65e-497j | 
| 104.51512823980165428 - 2.1009302671905122514e-1399j | 1.83e-491, 1.83e-491j | 
| 8.8190918864090684438 + 4.8311594817208473673e-1431j | 9.02e-496, 9.02e-496j | 
| 3.0113670301765209434 - 7.3851961944763219401e-1436j | 3.99e-500, 3.99e-500j | 
| 4.0490489062447359409 - 3.2289729651005255408e-1432j | 4.43e-499, 4.43e-499j | 
| 2.2716167028849493242 - 1.4179029211800463623e-1439j | 1.43e-501, 1.43e-501j | 
| 0.11237331364323042761 + 9.0833530553626808998e-1442j | 1.41e-508, 1.41e-508j | 
| 28.287064251073047932 + 1.3477983606494143927e-1445j | 1.39e-490, 1.39e-490j | 
| 48.498296081623185584 - 4.1305762000848695496e-1480j | 3.44e-489, 3.44e-489j | 
| 61.596339740592072302 + 5.6664320112670095542e-1526j | 3.43e-489, 3.43e-489j | 
| 1.6054525833172712334 + 5.5580843316288540676e-1564j | 5.43e-503, 5.43e-503j | 
| 14.608974312888737872 - 1.4265362494135820214e-1550j | 3.83e-493, 3.83e-493j | 
| 16.402635230020449078 + 2.9239025232148312569e-1550j | 1.07e-492, 1.07e-492j | 
| 71.760870936946891207 - 2.660673236979164897e-1573j | 1.89e-489, 1.89e-489j | 
| 56.967923906431481876 + 1.7860704996766562046e-1614j | 3.88e-489, 3.88e-489j | 
| 5.0546157316191983091 - 4.1326254985653838079e-1650j | 2.44e-498, 2.44e-498j | 
| 0.5857864376269049512 - 9.8677304608192853066e-1657j | 3.12e-505, 3.12e-505j | 
| 20.637391997130662648 + 4.0149737128076000735e-1640j | 8.47e-492, 8.47e-492j | 
| 10.257801186785141083 - 9.0039248850698645711e-1653j | 6.53e-495, 6.53e-495j | 
| 66.517631301903169851 + 1.4470856892246062534e-1661j | 2.77e-489, 2.77e-489j | 
| 23.019313191028729717 + 1.6880161070849387126e-1686j | 2.54e-491, 2.54e-491j | 
| 0.40758826003091409011 + 7.1057528493830421782e-1734j | 2.09e-505, 2.09e-505j | 
| 44.620507024450506777 + 1.4738197212044843135e-1716j | 2.59e-489, 2.59e-489j | 
| 34.249718949104166041 + 2.1506891744758150564e-1753j | 6.16e-490, 6.16e-490j | 
| 0.015311120651975619629 - 7.7880245565226969887e-1805j | 1.89e-510, 1.89e-510j | 
| 52.608528281902329199 - 5.6794695570403635786e-1777j | 3.68e-489, 3.68e-489j | 
| 1.0487368785708240897 - 1.2339437670147529639e-1803j | 3.09e-504, 3.09e-504j | 
| 0.36658876878467436123 + 1.4763227955440824703e-1804j | 1.17e-505, 1.17e-505j | 
| 7.4553298819050324224 - 1.1178597997712854848e-1795j | 1.15e-496, 1.15e-496j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 7.8446323160075872892e-64 - 8.1648928038604498846e-1342j | 2.17e-80, 3.09e-450j | 
| 6.3724456850461937939e-42 + 4.5308944153483222135e-1330j | 8.89e-73, 1.26e-442j | 
| 7.4809825943089400219e-49 + 7.9706354436373229017e-1334j | 1.04e-75, 1.47e-445j | 
| 5.7921590593044283904e-53 - 4.9473079585080485095e-1336j | 1.99e-77, 2.82e-447j | 
| 9.0910125374062316089e-58 + 1.3492771338967816002e-1338j | 2.68e-79, 3.81e-449j | 
| 2.9077894717876017795e-06 - 5.3425220879002997937e-1307j | 4.48e-43, 6.38e-413j | 
| 3.8752233975634945073e-36 + 6.8116406384958282371e-1327j | 2.78e-72, 3.96e-442j | 
| 1.7229267070492138836e-16 + 1.9481222711207199827e-1315j | 1.79e-61, 2.54e-431j | 
| 1.4624332464649310896e-33 - 1.8429360937425654632e-1325j | 1.19e-71, 1.7e-441j | 
| 2.1092589675022084778e-08 - 1.8840886388357825701e-1309j | 1.2e-51, 1.71e-421j | 
| 5.7766800761351692637e-18 - 2.2803589650592714511e-1316j | 3.83e-63, 5.45e-433j | 
| 0.0089416473560304093379 - 1.8720854344492264653e-1304j | 1.27e-29, 1.81e-399j | 
| 6.4968217435971610382e-39 - 2.0080937625065572438e-1328j | 1.37e-73, 1.95e-443j | 
| 2.07095916660192892e-11 + 5.7308636980848737508e-1312j | 2.34e-57, 3.33e-427j | 
| 8.580098791870820455e-14 + 1.163490806368127599e-1313j | 5.82e-60, 8.29e-430j | 
| 1.1705051159340444467e-05 + 1.2274733747567466469e-1306j | 5.98e-48, 8.51e-418j | 
| 0.0024487227211185023033 + 7.225421156393745574e-1306j | 1.71e-41, 2.44e-411j | 
| 3.2754791311079663563e-45 - 7.3836335217905483957e-1332j | 6.6e-77, 9.39e-447j | 
| 0.00020832992548090375875 + 1.8658874786712704016e-1306j | 1.63e-45, 2.31e-415j | 
| 0.034510596139617335935 + 1.9881049345241558101e-1304j | 2.02e-34, 2.88e-404j | 
| 0.015953893208538453696 + 6.8834307184389472089e-1305j | 1.67e-37, 2.38e-407j | 
| 0.074000143628803023098 - 1.3026193538852613029e-1304j | 1.05e-32, 1.5e-402j | 
| 0.1387024501001954495 - 2.2147334761612626705e-1304j | 1.04e-32, 1.48e-402j | 
| 1.4550769927695884651e-12 - 8.3103925019209312112e-1313j | 2.52e-59, 3.58e-429j | 
| 3.4561169406403031704e-21 - 2.436112105057244437e-1318j | 8.44e-68, 1.2e-437j | 
| 8.4647206643383581289e-27 + 1.2415663716539679207e-1321j | 1.52e-71, 2.17e-441j | 
| 0.12291293397865861533 + 1.4683659114593380742e-1304j | 2.07e-36, 2.94e-406j | 
| 7.490813706901469764e-07 - 1.422301445384176229e-1307j | 6.63e-54, 9.43e-424j | 
| 1.4438948934472497408e-07 + 1.4776960239417085957e-1308j | 2.82e-55, 4.01e-425j | 
| 3.7007630396893968713e-31 + 4.1026996423685963588e-1324j | 1.17e-73, 1.67e-443j | 
| 8.1549262443226161593e-25 - 1.7486950914686570198e-1320j | 4.1e-71, 5.84e-441j | 
| 0.0068843001879132570385 - 1.8681078127885492026e-1305j | 2.02e-49, 2.87e-419j | 
| 0.26885156749601512746 + 9.6113440150494895811e-1304j | 1.62e-44, 2.3e-414j | 
| 2.5036792123174824256e-09 + 2.6481636772355406646e-1310j | 8e-60, 1.14e-429j | 
| 5.1108376731558570732e-05 - 1.2767553616735786768e-1306j | 2.01e-54, 2.86e-424j | 
| 6.5668808064844513342e-29 - 7.6986163094563878487e-1323j | 3.96e-73, 5.64e-443j | 
| 2.4818594054385071207e-10 - 3.8829114605425943288e-1311j | 2.37e-61, 3.37e-431j | 
| -0.47582954498286171548 - 4.103838239674845581e-1303j | 2.13e-50, 3.03e-420j | 
| 1.5757834520416206392e-19 + 2.464577261233495399e-1317j | 1.08e-68, 1.53e-438j | 
| 4.223160841703484174e-15 - 1.5514498860357742901e-1314j | 5.71e-66, 8.12e-436j | 
| 0.044593491350675255226 + 6.3842885644403365234e-1305j | 5.78e-54, 8.26e-424j | 
| 6.0107763290816254867e-23 + 2.1805572095443123026e-1319j | 1.03e-70, 1.46e-440j | 
| 0.17592750287559279364 - 2.3243785890011688451e-1304j | 3.26e-55, 4.72e-425j | 
| 0.58106719515686628806 + 3.4494412455735252631e-1303j | 7.37e-54, 1.1e-423j | 
| 0.00076013230242388068855 - 3.377589509268408828e-1306j | 5.28e-58, 7.35e-428j | 
All rules of Laguerre type can be downloaded here packed into a single file.