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) | 
|---|---|
| 5.7099566690259474056 + 3.4669802398866029853e-2047j | 8.31e-1006, 8.31e-1006j | 
| 1.9173533515278317401 + 2.094464702946029009e-2053j | 8.72e-1012, 8.72e-1012j | 
| 6.7274828532751006587 - 1.27569405051844399e-2045j | 1.5e-1004, 1.5e-1004j | 
| 0.38864472259608877018 - 8.8338049909790295596e-2058j | 8.18e-1017, 8.18e-1017j | 
| 3.93413539189163899 + 3.5901274022258710558e-2050j | 3.52e-1008, 3.52e-1008j | 
| 3.1748490704148367246 + 1.4500345364994254315e-2051j | 2.12e-1009, 2.12e-1009j | 
| 4.779596384709730006 + 4.4272455322296491574e-2048j | 5.08e-1007, 5.08e-1007j | 
| 0.18796958875044643007 + 1.7543047495213915115e-2061j | 3.92e-1018, 3.92e-1018j | 
| 1.4176754723070136151 - 7.5253491193787858549e-2054j | 5.29e-1013, 5.29e-1013j | 
| 1 - 2.7634767594022621369e-2055j | 3.26e-1014, 3.26e-1014j | 
| 0.65872941300383190841 + 1.282556392564653188e-2056j | 1.72e-1015, 1.72e-1015j | 
| 2.5026000900489822054 + 1.2183114560361251934e-2052j | 1.35e-1010, 1.35e-1010j | 
| 0.058342862707844573428 + 5.4069106181433566109e-2061j | 9.37e-1020, 9.37e-1020j | 
| 0.002465169367667945629 - 2.7473319293773505507e-2062j | 9.04e-1022, 9.04e-1022j | 
| 202.21050402552422767 - 1.9399065547248240082e-2036j | 2.87e-1002, 2.87e-1002j | 
| 173.65599040178298181 - 7.518474107704072045e-2034j | 3.94e-999, 3.94e-999j | 
| 153.10973181466640312 - 5.9902793285537603625e-2066j | 3.98e-997, 3.98e-997j | 
| 144.30919618374005992 - 1.9579093454696271403e-2101j | 2.34e-996, 2.34e-996j | 
| 186.29225559057427563 + 2.3076685992000923001e-2116j | 1.67e-1000, 1.67e-1000j | 
| 40.44723755352699538 + 5.5312513753263490675e-2129j | 1.58e-994, 1.58e-994j | 
| 108.73726415625262202 - 1.26139387669045759e-2147j | 7.32e-994, 7.32e-994j | 
| 15.480725837411339234 + 5.4619858185263103399e-2165j | 9.84e-1000, 9.84e-1000j | 
| 43.445072981501720068 + 2.4684718168644367771e-2157j | 3.11e-994, 3.11e-994j | 
| 64.46494873076832243 + 2.4162192549969983163e-2156j | 5.17e-993, 5.17e-993j | 
| 60.571097055653037539 - 2.3814883492220856753e-2177j | 3.85e-993, 3.85e-993j | 
| 72.781642898995312262 - 1.291543888348936934e-2230j | 6.54e-993, 6.54e-993j | 
| 86.736141169298115674 - 3.6117525019468978648e-2286j | 5.34e-993, 5.34e-993j | 
| 13.901584578154500143 + 2.7889399496004621753e-2328j | 2.62e-1000, 2.62e-1000j | 
| 9.9025645160048522366 - 8.1186769431372622676e-2330j | 5.96e-1002, 5.96e-1002j | 
| 8.2300947527492967703 - 1.0927312478240237923e-2329j | 5.18e-1002, 5.18e-1002j | 
| 37.580704821233417713 - 2.8884404691179274279e-2321j | 6.68e-995, 6.68e-995j | 
| 102.81190228741326124 + 1.0992982376178739988e-2348j | 1.46e-993, 1.46e-993j | 
| 162.7902722350950318 - 4.469660031607012287e-2383j | 4.61e-998, 4.61e-998j | 
| 53.271621574327692156 - 4.0271236941278498104e-2430j | 1.89e-993, 1.89e-993j | 
| 18.989963815544515587 + 9.1597824860510589719e-2468j | 1.15e-998, 1.15e-998j | 
| 91.835208765727038599 - 8.0804714611081056803e-2485j | 3.73e-993, 3.73e-993j | 
| 25.095082345147903429 + 3.7403693948318043019e-2512j | 4.58e-997, 4.58e-997j | 
| 27.355755165185527387 - 1.5007851830226665604e-2509j | 1.41e-996, 1.41e-996j | 
| 49.852264490684589194 - 1.1041976174403071285e-2529j | 1.16e-993, 1.16e-993j | 
| 114.99427565207405147 - 1.1150187421825892402e-2583j | 3.64e-994, 3.64e-994j | 
| 97.186555183277550272 - 4.9767821392684165964e-2638j | 2.59e-993, 2.59e-993j | 
| 11.124699782802479565 - 1.5311165095265203301e-2668j | 1.78e-1001, 1.78e-1001j | 
| 22.948079594501460522 - 1.48223597923962717e-2663j | 1.47e-997, 1.47e-997j | 
| 32.226432223302262539 - 8.1899638087644976091e-2661j | 1.11e-995, 1.11e-995j | 
| 34.841600169195188114 + 1.4967696824520603291e-2680j | 2.81e-995, 2.81e-995j | 
| 17.17842709632752695 + 7.8613377885789067566e-2711j | 3.52e-999, 3.52e-999j | 
| 8.5922441271970337409 + 7.4020659239167491087e-2720j | 4.78e-1002, 4.78e-1002j | 
| 136.20373826781338386 - 3.8968817618239372342e-2776j | 1.15e-995, 1.15e-995j | 
| 128.67040756110497636 - 4.0463755439533052902e-2874j | 4.26e-995, 4.26e-995j | 
| 7.9886543552868417152 + 7.216122287657680523e-2931j | 2.12e-1002, 2.12e-1002j | 
| 121.62211747826395275 + 5.2933728238487422444e-2941j | 1.28e-994, 1.28e-994j | 
| 81.870977895150555586 + 1.7630085773734128865e-2976j | 6.12e-993, 6.12e-993j | 
| 29.732073459119772966 + 1.2268392169703459756e-3000j | 4.01e-996, 4.01e-996j | 
| 12.448513062956781353 + 2.8418192344810660356e-3006j | 6.11e-1001, 6.11e-1001j | 
| 68.532080441448810035 + 2.3332017227800512118e-2996j | 6.18e-993, 6.18e-993j | 
| 77.224002543990175111 + 1.1484812495032469719e-3010j | 7.19e-993, 7.19e-993j | 
| 56.842402904834913972 + 1.6800644148776508305e-3017j | 2.76e-993, 2.76e-993j | 
| 46.578500119235044865 - 1.4539955298213692039e-3022j | 6.53e-994, 6.53e-994j | 
| 20.91328935581141055 - 1.9279381813798144854e-3035j | 4.29e-998, 4.29e-998j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0032222170677237133733 - 1.5612206823602237786e-2048j | 2.8e-69, 8.63e-823j | 
| 0.079681703684121110314 + 1.1023604926314358165e-2048j | 8.83e-43, 2.73e-796j | 
| 0.001278221215984687496 - 3.9256303538363763408e-2049j | 1.16e-73, 3.57e-827j | 
| 0.15961972426994769442 + 1.4117839848162672079e-2048j | 8.1e-35, 2.5e-788j | 
| 0.015700503724588720428 - 8.3697648508786058489e-2049j | 8.52e-61, 2.63e-814j | 
| 0.02992271270547198438 + 8.6332922820390730547e-2049j | 5e-56, 1.54e-809j | 
| 0.0074595162170721880879 + 1.0405151237618855506e-2048j | 1.53e-65, 4.71e-819j | 
| 0.13721410177377374324 - 1.2287968345955723383e-2048j | 5.07e-35, 1.56e-788j | 
| 0.11093290980574304333 - 1.2690032004108345916e-2048j | 2.5e-39, 7.73e-793j | 
| 0.13922412814943559833 + 1.4118645742424978639e-2048j | 4.84e-37, 1.49e-790j | 
| 0.15785328956146184518 - 1.4724474879626417549e-2048j | 7.03e-36, 2.17e-789j | 
| 0.051468625510642831562 - 9.5810628245949538897e-2049j | 3.71e-51, 1.15e-804j | 
| 0.087920650588475932625 + 9.2902034707682381272e-2049j | 1.49e-35, 4.6e-789j | 
| 0.017842564568248624566 - 3.7460780450963504689e-2049j | 7.89e-36, 2.43e-789j | 
| 2.853660221357400299e-87 + 7.6374329947448575633e-2098j | 5.85e-163, 1.81e-916j | 
| 4.4377509053035718735e-75 + 1.7886305066762761334e-2091j | 2.3e-159, 7.1e-913j | 
| 2.9457405276945317318e-66 + 7.7825308564525275542e-2087j | 9.36e-157, 2.89e-910j | 
| 1.7908712194563674594e-62 - 7.7708423930978658402e-2085j | 1.2e-155, 3.7e-909j | 
| 1.723330671314179021e-80 - 2.6342592805147519184e-2094j | 1.55e-161, 4.8e-915j | 
| 7.9630338431715031266e-18 + 4.4257166666076178352e-2060j | 6.65e-129, 2.05e-882j | 
| 3.6332278582120602747e-47 + 1.1536991385469260117e-2076j | 7.52e-151, 2.32e-904j | 
| 3.1010753998182108824e-07 - 1.9078881172254863757e-2052j | 1.76e-108, 5.43e-862j | 
| 4.1539188893859553994e-19 - 7.204006702747552809e-2061j | 9.23e-131, 2.85e-884j | 
| 4.008747849776261121e-28 - 3.6972612353631104639e-2066j | 2.57e-140, 7.94e-894j | 
| 1.8846529833495531582e-26 + 3.3469944905888806696e-2065j | 4.71e-139, 1.45e-892j | 
| 1.0696360506817804156e-31 - 3.5349202398447808133e-2068j | 1.38e-143, 4.25e-897j | 
| 1.0669407183715576993e-37 + 1.6458305604638102514e-2071j | 6.46e-148, 2e-901j | 
| 1.3923222283220559359e-06 + 8.9261351271836869329e-2052j | 4.89e-112, 1.51e-865j | 
| 5.9881510794136025835e-05 - 1.0799195580616788661e-2049j | 8.32e-106, 2.57e-859j | 
| -0.00086205455563989676222 - 9.766538950031154454e-2048j | 4.01e-102, 1.24e-855j | 
| 1.337849572688401427e-16 - 2.5828307028164230266e-2059j | 1.5e-131, 4.64e-885j | 
| 1.2899691911003354986e-44 - 2.7593735089071152929e-2075j | 3.01e-152, 9.29e-906j | 
| 2.0417033896949588933e-70 - 5.018441162496792815e-2089j | 9.12e-163, 2.82e-916j | 
| 2.5571562471573503359e-23 + 2.200997225443565377e-2063j | 2.9e-139, 8.94e-893j | 
| 1.0569333224799254998e-08 - 9.1106894134353010829e-2054j | 1.15e-122, 3.55e-876j | 
| 6.8281568471853852992e-40 - 1.0294020757341850485e-2072j | 4.92e-150, 1.52e-903j | 
| 2.782701257065348448e-11 + 9.2895897664394026586e-2056j | 3.03e-128, 9.35e-882j | 
| 3.0526999055683041719e-12 - 1.9369479023982020401e-2056j | 1.06e-129, 3.26e-883j | 
| 7.4802434200187167581e-22 - 1.6125160592467687024e-2062j | 8.66e-139, 2.67e-892j | 
| 7.3651045297167485974e-50 - 4.0971743051701255165e-2078j | 2.35e-156, 7.27e-910j | 
| 3.4005168223388878196e-42 + 5.697650726410860829e-2074j | 9.15e-152, 2.83e-905j | 
| 1.8633194886798807928e-05 + 2.0430170742877057343e-2050j | 2.54e-119, 7.85e-873j | 
| 2.2597908787719068259e-10 - 4.3482421961202059236e-2055j | 4.01e-129, 1.24e-882j | 
| 2.5793212624889195519e-14 - 7.6551476579527845845e-2058j | 3.13e-134, 9.67e-888j | 
| 1.9772717943443892285e-15 + 1.43722973275624879e-2058j | 4.3e-135, 1.33e-888j | 
| 6.0787992099308289404e-08 + 4.1492314485052187788e-2053j | 1.5e-126, 4.63e-880j | 
| 0.00042518159648657327399 + 2.8850745202383158787e-2048j | 5.05e-119, 1.56e-872j | 
| 5.4916210286135233528e-59 + 5.4822812816695156948e-2083j | 1.43e-162, 4.4e-916j | 
| 9.5762018939726887802e-56 - 2.9075255295500101117e-2081j | 1.88e-161, 5.81e-915j | 
| 0.0010102690637099599475 + 8.3073848531308459648e-2048j | 3.01e-122, 9.29e-876j | 
| 1.0340126478666649014e-52 + 1.2113956871272198743e-2079j | 4.81e-160, 1.48e-913j | 
| 1.3210299656362572452e-35 - 2.3511578087652561618e-2070j | 8.8e-153, 2.72e-906j | 
| 2.9785644042785842041e-13 + 3.918920125918395725e-2057j | 2.48e-138, 7.67e-892j | 
| 5.4446662733715121854e-06 - 4.2464244431140303607e-2051j | 1.9e-130, 5.86e-884j | 
| 7.172114236447467839e-30 + 3.7717408262616791305e-2067j | 2.9e-150, 8.94e-904j | 
| 1.3162633165580222257e-33 + 3.0261619409834596322e-2069j | 3.29e-152, 1.02e-905j | 
| 7.5124910957710232348e-25 - 2.8114594133995794133e-2064j | 7.69e-148, 2.37e-901j | 
| 1.8912084698580771033e-20 + 1.1098876380667608474e-2061j | 2.27e-145, 6.99e-899j | 
| 1.6365191424118664912e-09 + 1.9999021124099581793e-2054j | 3.16e-138, 9.76e-892j | 
All rules of Laguerre type can be downloaded here packed into a single file.