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) | 
|---|---|
| -0.99915874083993608758 - 1.244231898363124081e-857j | 1.25e-233, 1.25e-233j | 
| -0.98964845227194226336 - 6.2300902697472995081e-858j | 8.96e-233, 8.96e-233j | 
| -0.9302253655382177185 + 2.2504086589642514758e-860j | 1.92e-233, 1.92e-233j | 
| 0.99563121933714870557 + 4.471425605686715684e-857j | 5.11e-233, 5.11e-233j | 
| 0.91037886845455723636 - 2.0292599100430361596e-864j | 8.89e-234, 8.89e-234j | 
| 0.94780074088718738576 + 5.829449299412609619e-867j | 3.65e-233, 3.65e-233j | 
| -0.99563121933714870557 + 1.1153131498600822755e-872j | 4.55e-233, 4.55e-233j | 
| -0.91037886845455723636 + 2.3815409393530015341e-874j | 7.77e-234, 7.77e-234j | 
| -0.81118917701500634972 - 3.0748759659574660043e-876j | 9.88e-236, 9.88e-236j | 
| 0.99915874083993608758 - 1.5810111216197293621e-870j | 1.24e-233, 1.24e-233j | 
| 0.86506336668898451073 - 1.1219040247558955734e-880j | 1.3e-234, 1.3e-234j | 
| 0.98964845227194226336 + 2.8106447060273694239e-884j | 9.3e-233, 9.3e-233j | 
| -0.88863798542865988309 + 3.1408086789344118218e-895j | 3.35e-234, 3.35e-234j | 
| -0.86506336668898451073 - 6.5141855576760154197e-896j | 1.28e-234, 1.28e-234j | 
| 0.9302253655382177185 + 6.2097730484670250746e-892j | 1.69e-233, 1.69e-233j | 
| 0.78071202180714091681 - 1.2963685046753470616e-901j | 2.47e-236, 2.47e-236j | 
| 0.88863798542865988309 + 7.4300008560683223449e-901j | 3.04e-234, 3.04e-234j | 
| -0.94780074088718738576 + 5.9065659715947836178e-909j | 3.36e-233, 3.36e-233j | 
| -0.74832700370809987322 + 6.25440988267158287e-915j | 4.97e-237, 4.97e-237j | 
| -0.29404468164678598008 - 1.0314678742064315985e-924j | 8.47e-248, 8.47e-248j | 
| 0.83934110040448036337 + 2.5094441332270761706e-908j | 3.92e-235, 3.92e-235j | 
| 0.81118917701500634972 + 2.046457301093810101e-916j | 9.39e-236, 9.39e-236j | 
| -0.97390652851717172008 - 2.0587446126177174898e-920j | 1.15e-232, 1.15e-232j | 
| -0.71450437024499792611 + 4.2272057010918954667e-930j | 9.5e-238, 9.5e-238j | 
| -0.78071202180714091681 - 1.1463741700274767129e-928j | 2.23e-236, 2.23e-236j | 
| 0.9822409855330750832 - 2.5792381117364566542e-923j | 1.34e-232, 1.34e-232j | 
| 0.67940956829902440623 - 5.223468983569623511e-949j | 1.74e-238, 1.74e-238j | 
| 0.71450437024499792611 + 1.2276202345735704945e-947j | 9.72e-238, 9.72e-238j | 
| -0.83934110040448036337 + 5.1937353082982815154e-948j | 3.73e-235, 3.73e-235j | 
| -0.64268319637119326996 - 9.9226336497504306687e-952j | 2.54e-239, 2.54e-239j | 
| -0.9822409855330750832 + 3.4749530778584216388e-943j | 1.24e-232, 1.24e-232j | 
| 0.010245530496497745818 - 3.8831292087576567679e-963j | 1.89e-255, 1.89e-255j | 
| 0.64268319637119326996 - 2.8039947526350024425e-952j | 2.66e-239, 2.66e-239j | 
| 1.2144883202435689384e-963 + 8.2826355547850708072e-964j | 9.56e-962, 9.56e-962j | 
| -0.60385335465933952583 + 1.0283400457540628345e-952j | 3.18e-240, 3.18e-240j | 
| -0.67940956829902440623 + 6.9383775628516855952e-951j | 1.64e-238, 1.64e-238j | 
| 0.74832700370809987322 - 5.8160526545945860146e-945j | 5.28e-237, 5.28e-237j | 
| 0.60385335465933952583 - 3.9186546862212872518e-951j | 3.25e-240, 3.25e-240j | 
| 0.97390652851717172008 - 1.7823893958474768071e-945j | 1.14e-232, 1.14e-232j | 
| -0.078299867184256587599 + 1.8468084946838814272e-980j | 1.65e-253, 1.65e-253j | 
| -0.5629262430263026964 - 1.9567172609470124734e-968j | 3.68e-241, 3.68e-241j | 
| -0.96258002780502777926 + 3.6137452948571768745e-967j | 7.63e-233, 7.63e-233j | 
| 0.5629262430263026964 + 4.8380675692033298685e-975j | 3.43e-241, 3.43e-241j | 
| 0.5204194230340144931 - 2.4712479844158593828e-977j | 3.74e-242, 3.74e-242j | 
| 0.96258002780502777926 - 4.7668091637914274742e-987j | 7.15e-233, 7.15e-233j | 
| -0.4333953941292471908 + 2.2684313934270470125e-999j | 2.79e-244, 2.79e-244j | 
| -0.5204194230340144931 + 7.1523334251494723613e-998j | 3.76e-242, 3.76e-242j | 
| 0.1299451163330731609 + 2.0488880262007799965e-1008j | 1.36e-251, 1.36e-251j | 
| 0.47707521751950924752 + 5.6977967611842499698e-1001j | 3.3e-243, 3.3e-243j | 
| 0.24325646634637708536 + 5.8091907929591498598e-1007j | 4.17e-249, 4.17e-249j | 
| -0.24325646634637708536 + 7.0189020830345823444e-1006j | 3.97e-249, 3.97e-249j | 
| -0.47707521751950924752 - 1.1073432989313071623e-1000j | 3.16e-243, 3.16e-243j | 
| -0.1299451163330731609 - 2.9068869816103913245e-1009j | 1.26e-251, 1.26e-251j | 
| 0.38898013677270203935 + 3.1454375891695273593e-1003j | 2.26e-245, 2.26e-245j | 
| 0.34272136843945214576 + 1.4984942453593016883e-1004j | 1.59e-246, 1.59e-246j | 
| 0.078299867184256587599 - 5.3924375021854766829e-1012j | 1.63e-253, 1.63e-253j | 
| -0.34272136843945214576 + 3.5063434705910552427e-1004j | 1.41e-246, 1.41e-246j | 
| -0.19130108712898926715 - 9.8689650355916581959e-1008j | 2.73e-250, 2.73e-250j | 
| 0.19130108712898926715 - 1.3127946026900124938e-1008j | 2.89e-250, 2.89e-250j | 
| 0.4333953941292471908 + 1.0261961421908449137e-1001j | 2.91e-244, 2.91e-244j | 
| 0.14887433898163121088 + 2.5886795619693965597e-1009j | 4.63e-251, 4.63e-251j | 
| -0.14887433898163121088 + 1.1670333881172019625e-1008j | 5.48e-251, 5.48e-251j | 
| -0.38898013677270203935 - 6.2514339507300946021e-1003j | 2.18e-245, 2.18e-245j | 
| -0.010245530496497745818 - 1.7582900845954919377e-1013j | 1.89e-255, 1.89e-255j | 
| 0.29404468164678598008 + 5.7804460742192685843e-1007j | 8.18e-248, 8.18e-248j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.002152429690912097792 - 1.6964054055814447501e-857j | 8.8e-39, 3.64e-149j | 
| 0.0069388937168440603594 - 3.5699349632646831405e-857j | 3.86e-39, 1.6e-149j | 
| 0.018788014109274767218 + 1.5203288860923912011e-857j | 5.6e-40, 2.32e-150j | 
| 0.0048538661506754500446 - 3.7591534387306883441e-857j | 1.68e-40, 6.97e-151j | 
| 0.020838448888134809478 + 2.5024687529856104603e-857j | 8.68e-41, 3.59e-151j | 
| 0.016277123859872999715 + 3.405285519978701914e-857j | 8.27e-41, 3.42e-151j | 
| 0.0048538661506754500446 + 2.8957700809784949202e-857j | 3.79e-39, 1.57e-149j | 
| 0.020838448888134809478 - 1.3708209388354898478e-857j | 2.21e-40, 9.14e-151j | 
| 0.029365363795678755017 - 1.0436190102333551706e-857j | 1.26e-41, 5.21e-152j | 
| 0.002152429690912097792 - 1.4707420725338746326e-857j | 3.43e-42, 1.42e-152j | 
| 0.024579881826351258438 + 2.2828540177984341931e-857j | 3.46e-43, 1.43e-153j | 
| 0.0069388937168440603594 + 9.5975640372243478437e-857j | 3.08e-42, 1.28e-152j | 
| 0.022630555871034545832 + 1.293872827355914061e-857j | 7.74e-42, 3.2e-152j | 
| 0.024579881826351258438 - 1.2199113665182771318e-857j | 3.06e-42, 1.26e-152j | 
| 0.018788014109274767218 - 2.7633170059054175285e-857j | 6.54e-43, 2.7e-153j | 
| 0.03151512450361718089 - 1.9810089171972242828e-857j | 1.85e-45, 7.66e-156j | 
| 0.022630555871034545832 - 2.38782556673119654e-857j | 1.37e-43, 5.69e-154j | 
| 0.016277123859872999715 - 1.8726387399822670383e-857j | 2.95e-44, 1.22e-154j | 
| 0.033170306191622783837 - 9.7870826156165061062e-858j | 1.78e-46, 7.37e-157j | 
| 0.049833649402930557069 + 3.306743576842081109e-858j | 8.11e-50, 3.36e-160j | 
| 0.026918654539837469009 - 2.1488872670929539801e-857j | 4.11e-45, 1.7e-155j | 
| 0.029365363795678755017 + 2.0302782609896999118e-857j | 1.18e-45, 4.88e-156j | 
| 0.009501034078835965415 - 3.8715940384914668395e-857j | 1.81e-45, 7.5e-156j | 
| 0.03444156185024986564 + 9.8355307335437374797e-858j | 6.31e-48, 2.61e-158j | 
| 0.03151512450361718089 + 9.9225877093328645711e-858j | 1.06e-46, 4.39e-157j | 
| 0.0076843312674180628824 - 8.6131141058517115224e-857j | 1.27e-46, 5.25e-157j | 
| 0.035816295850813322654 + 2.1704030984535992895e-857j | 2.2e-50, 9.12e-161j | 
| 0.03444156185024986564 - 2.0989524720713467603e-857j | 1.01e-49, 4.19e-160j | 
| 0.026918654539837469009 + 1.1285089616360142752e-857j | 2.28e-47, 9.45e-158j | 
| 0.037727703848245421789 + 9.3706461417625697447e-858j | 3.19e-51, 1.32e-161j | 
| 0.0076843312674180628824 + 4.6526824632209771049e-857j | 4.48e-47, 1.85e-157j | 
| 0.25386853682789349687 - 2.4974073828834901289e-855j | 2.64e-55, 1.09e-165j | 
| 0.037727703848245421789 - 2.1926210465394200805e-857j | 1.05e-53, 4.33e-164j | 
| -0.40805760222210773018 + 4.6123036123225733508e-855j | 2.7e-55, 1.12e-165j | 
| 0.039929918219501436013 - 8.8499638218556065254e-858j | 2.95e-53, 1.22e-163j | 
| 0.035816295850813322654 - 9.7518579944087770577e-858j | 1.33e-51, 5.49e-162j | 
| 0.033170306191622783837 + 2.0149051099803327196e-857j | 9.98e-53, 4.13e-163j | 
| 0.039929918219501436013 + 2.2014136778321390531e-857j | 2.67e-55, 1.1e-165j | 
| 0.009501034078835965415 + 7.1608667196498361201e-857j | 7.14e-53, 2.95e-163j | 
| 0.056076090971210414087 + 1.27256728589598078e-856j | 3.79e-58, 1.57e-168j | 
| 0.04183294317182848987 + 8.4728687338605943014e-858j | 1.56e-55, 6.45e-166j | 
| 0.013161390911251661206 + 2.650064833986136648e-857j | 9.1e-52, 3.76e-162j | 
| 0.04183294317182848987 - 2.2741523346215290077e-857j | 1.33e-56, 5.49e-167j | 
| 0.043050196291406110636 + 2.472134606084778025e-857j | 1.26e-57, 5.19e-168j | 
| 0.013161390911251661206 - 4.8444967030285499994e-857j | 2.24e-53, 9.28e-164j | 
| 0.043886531722665574123 - 8.2225081967302246031e-858j | 5.95e-59, 2.46e-169j | 
| 0.043050196291406110636 - 8.371079436789076127e-858j | 1.53e-57, 6.34e-168j | 
| 0.040557776547491409379 - 4.8475398238914421808e-856j | 2.44e-61, 1.01e-171j | 
| 0.043540361208072915603 - 2.8071085782295394566e-857j | 7.88e-60, 3.26e-170j | 
| 0.051607485383385185445 + 7.0571160974190433491e-857j | 6.22e-62, 2.57e-172j | 
| 0.051607485383385185445 + 1.8666382053486511184e-858j | 1.94e-61, 8.02e-172j | 
| 0.043540361208072915603 + 8.4173910763405310891e-858j | 5.79e-60, 2.39e-170j | 
| 0.040557776547491409379 - 1.5864618298373679252e-856j | 1.47e-61, 6.07e-172j | 
| 0.045158234422419631233 - 3.6021048874391531134e-857j | 2.05e-62, 8.5e-173j | 
| 0.047458508838460045563 + 4.0299221282437999294e-857j | 9.76e-63, 4.04e-173j | 
| 0.056076090971210414087 + 2.3917973126123204313e-856j | 1.14e-62, 4.71e-173j | 
| 0.047458508838460045563 - 5.7891175286108721852e-858j | 8.4e-63, 3.48e-173j | 
| 0.051747083510585902199 - 2.2399429296592802352e-857j | 7.16e-63, 2.96e-173j | 
| 0.051747083510585902199 - 1.5400246035772606077e-856j | 7.91e-64, 3.27e-174j | 
| 0.043886531722665574123 + 3.2143598597084419603e-857j | 5.77e-64, 2.39e-174j | 
| 0.019120503642532219785 + 4.724102389547880911e-856j | 2.1e-63, 8.7e-174j | 
| 0.019120503642532219785 + 1.2532860398459753415e-856j | 1.06e-63, 4.37e-174j | 
| 0.045158234422419631233 + 7.3783163369656517981e-858j | 7.2e-65, 2.96e-175j | 
| 0.25386853682789349687 - 2.3054454162256293146e-855j | 4.62e-63, 1.93e-173j | 
| 0.049833649402930557069 - 4.8547084703846436702e-857j | 3.63e-65, 1.45e-175j | 
All rules of Legendre type can be downloaded here packed into a single file.