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) | 
|---|---|
| 143.11743221205631456 + 2.3697785616174064086e-528j | 3.19e-238, 3.19e-238j | 
| 157.71276310106448296 - 4.1756863268445419596e-530j | 8.42e-240, 8.42e-240j | 
| 121.7492774210547912 - 8.0249444171637828856e-524j | 4.27e-236, 4.27e-236j | 
| 113.02129620687311077 - 7.6537923505462587679e-529j | 2.28e-235, 2.28e-235j | 
| 131.5991709136781263 - 9.529913321354649689e-535j | 4.69e-237, 4.69e-237j | 
| 22.70265911901995236 + 7.448614225332800047e-538j | 1.07e-235, 1.07e-235j | 
| 8.0058004061442226095 + 5.9253987565881854841e-547j | 2.16e-240, 2.16e-240j | 
| 63.808338256031329948 - 1.1955292162998446058e-539j | 8.19e-233, 8.19e-233j | 
| 43.341345664749719713 + 1.0110859577542803003e-547j | 3.06e-233, 3.06e-233j | 
| 16.162387863787984609 + 1.1307936929963332301e-561j | 2.65e-237, 2.65e-237j | 
| 6.9239565457104964806 + 4.7671674079391827497e-565j | 7.07e-241, 7.07e-241j | 
| 50.859608100042752685 + 1.4708797759847384968e-556j | 6.48e-233, 6.48e-233j | 
| 68.637177138527093717 - 8.7085825575123978725e-570j | 6.76e-233, 6.76e-233j | 
| 5.2705496502648679928 - 2.5697922926486065038e-588j | 2.21e-242, 2.21e-242j | 
| 46.998168448773793013 - 1.5012610237382299582e-580j | 4.89e-233, 4.89e-233j | 
| 2.6339247438226597874 + 2.8234101091817628756e-596j | 1.55e-245, 1.55e-245j | 
| 36.599134188027491246 + 1.6267729022607588114e-582j | 9.32e-234, 9.32e-234j | 
| 3.4142135623730950488 + 4.2107600294907552912e-595j | 1.65e-244, 1.65e-244j | 
| 97.902334701387860027 + 5.6181762440055670798e-583j | 3.42e-234, 3.42e-234j | 
| 25.169618228864713488 + 2.014302429150545747e-593j | 3.04e-235, 3.04e-235j | 
| 30.560652267508323034 + 8.4709631485533388867e-591j | 1.97e-234, 1.97e-234j | 
| 14.257611292774809513 - 2.5747741051692625119e-597j | 6.13e-238, 6.13e-238j | 
| 12.486507079040894342 - 3.6539758949589156747e-598j | 1.61e-238, 1.61e-238j | 
| 73.759655248106128852 - 3.4151434470318810494e-591j | 5.2e-233, 5.2e-233j | 
| 91.223225338099172622 - 5.0794274596852492391e-603j | 8.3e-234, 8.3e-234j | 
| 10.848737889203577852 + 2.2351802999029205888e-616j | 3.45e-239, 3.45e-239j | 
| 1.9789585476694683523 - 1.0351083738534529585e-623j | 1.52e-246, 1.52e-246j | 
| 1.460519758252481865 - 3.7554353601835502843e-624j | 1.93e-247, 1.93e-247j | 
| 33.495763763307734029 - 2.1142595094344336392e-609j | 4.16e-234, 4.16e-234j | 
| 105.12998708707043613 - 5.8156472096350787248e-617j | 9.94e-235, 9.94e-235j | 
| 54.93827427809295698 + 7.9864559062302119063e-640j | 7.18e-233, 7.18e-233j | 
| 0.47193845768537280597 + 6.0837241080123307669e-673j | 1.68e-249, 1.68e-249j | 
| 6.1688112359606135024 + 1.1923813598504025175e-664j | 1.93e-241, 1.93e-241j | 
| 27.787218523131135997 + 9.8038750355468664987e-656j | 8.69e-235, 8.69e-235j | 
| 39.878190922816343425 - 4.7714012872004028593e-680j | 1.7e-233, 1.7e-233j | 
| 9.3482735672435383509 - 3.6585475478394234005e-706j | 7.61e-240, 7.61e-240j | 
| 79.205390304848549891 + 9.766314255495240629e-708j | 3.54e-233, 3.54e-233j | 
| 0.5857864376269049512 + 2.1858184600494247397e-752j | 8.45e-249, 8.45e-249j | 
| 0.53665973581612225993 - 5.475197835737248418e-753j | 9.08e-249, 9.08e-249j | 
| 59.248803051357162478 + 4.5620950802869663954e-736j | 8.67e-233, 8.67e-233j | 
| 0.03159956604758855999 - 3.0170055130603106333e-776j | 1.1e-254, 1.1e-254j | 
| 1.0406748406401594478 - 5.7037069847274525493e-771j | 1.9e-248, 1.9e-248j | 
| 0.16765652080881102342 - 9.7655867590655731698e-775j | 1.24e-252, 1.24e-252j | 
| 4.3040968121346327729 - 4.928945842875298149e-766j | 1.89e-243, 1.89e-243j | 
| 18.202811891370346838 + 1.6511971776253212879e-760j | 9.89e-237, 9.89e-237j | 
| 85.011083759591952572 + 1.8825369569178440874e-754j | 1.89e-233, 1.89e-233j | 
| 20.381739303108432924 + 9.4100362713633768223e-763j | 3.28e-236, 3.28e-236j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 8.8697406763031586282e-62 - 2.3598386211361831043e-577j | 1.99e-76, 1.05e-191j | 
| 5.5480527111609414771e-68 + 1.2986438204291057281e-580j | 1.36e-78, 7.19e-194j | 
| 1.2303830198486325563e-52 - 1.6170954485221007039e-572j | 5.08e-74, 2.67e-189j | 
| 6.810739233115542254e-49 + 1.5981189506386056334e-570j | 3.97e-73, 2.09e-188j | 
| 7.4256816740852249626e-57 + 9.3612154701501632863e-575j | 2.02e-75, 1.06e-190j | 
| 3.3063051657252681439e-10 - 1.5538831796803737856e-547j | 2.29e-47, 1.21e-162j | 
| 0.00041469207477695245588 - 9.9000342198572372947e-544j | 1.05e-29, 5.52e-145j | 
| 9.1119247989464285406e-28 + 5.6929458308292384883e-559j | 3.3e-65, 1.74e-180j | 
| 5.3497529423254495972e-19 - 7.7294830702012230166e-554j | 3.7e-59, 1.95e-174j | 
| 1.8867387058147333924e-07 + 2.5833531369344502654e-546j | 1.07e-43, 5.65e-159j | 
| 0.00086312910097437311742 + 3.422579760016717187e-543j | 2.02e-30, 1.06e-145j | 
| 3.2396807541979368202e-22 - 9.0571707617321419956e-556j | 4.8e-62, 2.53e-177j | 
| 7.7217358825897898116e-30 - 3.8698265814776543664e-560j | 2.54e-67, 1.34e-182j | 
| 0.0050152090121428428575 + 7.5743354463134810095e-543j | 5.92e-30, 3.12e-145j | 
| 1.4581984263517318835e-20 + 8.7071324774965471166e-555j | 8.82e-61, 4.65e-176j | 
| 0.051708269742896448962 - 3.1231048541130230261e-542j | 3.64e-23, 1.92e-138j | 
| 4.0641982503175796844e-16 - 5.0264537885978243396e-552j | 3.84e-58, 2.02e-173j | 
| 0.027571232603177202238 + 1.6779377170610486987e-542j | 2.69e-27, 1.42e-142j | 
| 2.1026238546501268075e-42 + 4.886524419453685867e-567j | 1.65e-74, 8.67e-190j | 
| 2.9789132487073400684e-11 - 2.2120327682453324627e-548j | 1.16e-53, 6.13e-169j | 
| 1.5241079145153119155e-13 - 2.847654035508938799e-550j | 2.52e-56, 1.33e-171j | 
| 1.1810670514406214722e-06 - 7.6185286413985218685e-546j | 1.94e-47, 1.02e-162j | 
| 6.438711421614245883e-06 + 2.3568734902251772102e-545j | 3.22e-46, 1.7e-161j | 
| 4.8877812639968871732e-32 + 2.2932077693737925384e-561j | 2.8e-70, 1.47e-185j | 
| 1.5514695022805898556e-39 - 1.7495246606547063718e-565j | 2.25e-74, 1.18e-189j | 
| 3.0511941477354079739e-05 - 7.617127738329548585e-545j | 3.27e-47, 1.72e-162j | 
| 0.081138548367445876265 + 6.3092426195355753358e-542j | 2.66e-34, 1.4e-149j | 
| 0.10571235975663607476 - 1.2162080134547764436e-541j | 8.49e-33, 4.47e-148j | 
| 8.5645597140437765407e-15 + 3.7992454904342759669e-551j | 3.82e-59, 2.01e-174j | 
| 1.658827154465999037e-45 - 1.0415869069431893792e-568j | 7.64e-77, 4.02e-192j | 
| 5.7946678071558285659e-24 + 8.6097116191994460347e-557j | 3.42e-66, 1.8e-181j | 
| 0.80716026988944154823 - 2.0595286952104483474e-540j | 8.03e-39, 4.23e-154j | 
| 0.0016142528759091904021 - 6.0825456913115303533e-543j | 5.58e-46, 2.94e-161j | 
| 2.3049345247652111e-12 + 2.2432756266835166236e-549j | 2.59e-58, 1.36e-173j | 
| 1.6169696004966661425e-17 + 6.4074404216994231971e-553j | 5.63e-62, 2.97e-177j | 
| 0.00012438613832598986085 + 2.6201773078191691006e-544j | 8.72e-51, 4.59e-166j | 
| 2.2448467346239084152e-34 - 1.1656565232508056657e-562j | 6.71e-73, 3.53e-188j | 
| 1.0371880859685570952 - 3.3076334632727923245e-540j | 4.78e-44, 2.52e-159j | 
| -1.5143337222845251403 + 5.1926876716077046571e-540j | 7.92e-44, 4.17e-159j | 
| 8.2255572461619199907e-26 - 7.4021162838373144456e-558j | 8.58e-68, 4.52e-183j | 
| 0.078646603989620161933 - 1.1261619878616569855e-542j | 1.1e-46, 5.79e-162j | 
| 0.14151939221150293321 + 2.0701516863213422956e-541j | 1.12e-46, 5.92e-162j | 
| 0.16295095875077918451 + 5.7844925134787095312e-542j | 2.62e-46, 1.38e-161j | 
| 0.012667981655077179153 - 1.0272008633768354903e-542j | 3.85e-50, 2.03e-165j | 
| 2.6225586215670147502e-08 - 9.5660206442636113877e-547j | 8.78e-58, 4.62e-173j | 
| 7.2163800083673675537e-37 + 4.9840719575282469515e-564j | 1.08e-74, 5.72e-190j | 
| 3.1649688989621489687e-09 + 4.5415447441854664959e-547j | 1.48e-58, 7.8e-174j | 
All rules of Laguerre type can be downloaded here packed into a single file.