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) | 
|---|---|
| 0.99938427483443948435 - 1.1797222071513579408e-787j | 1.15e-228, 1.15e-228j | 
| -0.98219129046748981137 + 1.2428889873031789789e-802j | 2.3e-228, 2.3e-228j | 
| -0.94737800835893597774 - 4.0826801980628428134e-802j | 2.8e-228, 2.8e-228j | 
| -0.99005569680912353749 + 1.0661964647002688067e-802j | 3.44e-228, 3.44e-228j | 
| 0.95526936302604635714 - 5.1928576497799567547e-799j | 2.14e-227, 2.14e-227j | 
| 0.92975579501629335971 + 7.9786488860220700982e-811j | 3.04e-229, 3.04e-229j | 
| 0.99743547653621082213 - 1.0696362217393360587e-812j | 4.3e-228, 4.3e-228j | 
| -0.89266796506161021982 + 1.019441264059162756e-832j | 2.88e-230, 2.88e-230j | 
| -0.99743547653621082213 + 1.7797493662222184796e-829j | 3.97e-228, 3.97e-228j | 
| 0.99517513040458488078 - 4.5584692275128131113e-829j | 5.22e-228, 5.22e-228j | 
| 0.89266796506161021982 - 7.0787701053506841643e-837j | 2.66e-230, 2.66e-230j | 
| -0.99938427483443948435 + 9.1384061700243303506e-837j | 1.1e-228, 1.1e-228j | 
| -0.97179658930668721847 - 1.6385489198732293008e-835j | 2.36e-228, 2.36e-228j | 
| -0.87264705591622591191 - 1.9872175247601503267e-840j | 8.38e-231, 8.38e-231j | 
| 0.64880670170968723604 - 1.8614574326151289707e-844j | 7.22e-237, 7.22e-237j | 
| 0.87264705591622591191 - 8.5514829391085348807e-838j | 8.51e-231, 8.51e-231j | 
| 0.94737800835893597774 + 5.0135204249333740463e-834j | 2.88e-228, 2.88e-228j | 
| 0.97179658930668721847 + 1.9179517871672893177e-850j | 2.21e-228, 2.21e-228j | 
| -0.77421495376050439073 - 9.6829250121480290177e-868j | 1.74e-233, 1.74e-233j | 
| -0.95678295794889329949 - 4.3137335523578999699e-861j | 1.98e-227, 1.98e-227j | 
| 0.95678295794889329949 + 2.309513685950178953e-861j | 1.83e-227, 1.83e-227j | 
| 0.74508370875818926375 + 1.6835780457140289407e-876j | 2.78e-234, 2.78e-234j | 
| 0.99005569680912353749 - 1.6853520993500197991e-869j | 3.11e-228, 3.11e-228j | 
| -0.85110112875893547946 - 7.6366215477464293995e-884j | 2e-231, 2e-231j | 
| -0.82747789237571241921 + 1.1312492778116259592e-884j | 4.68e-232, 4.68e-232j | 
| 0.1140802956189406021 + 3.4704840613010294774e-906j | 2.45e-252, 2.45e-252j | 
| 0.77421495376050439073 - 5.2203365280978401749e-888j | 1.68e-233, 1.68e-233j | 
| 0.80175984712866539843 - 9.0763462590995163881e-887j | 8.89e-233, 8.89e-233j | 
| -0.99517513040458488078 - 1.3395872670392124087e-880j | 4.87e-228, 4.87e-228j | 
| -0.61375987477044822826 + 2.3768970696778972662e-892j | 7.75e-238, 7.75e-238j | 
| -0.50093357346678984413 - 3.3224503092643594977e-896j | 5.65e-241, 5.65e-241j | 
| 0.82747789237571241921 - 7.2764749350806307627e-886j | 4.75e-232, 4.75e-232j | 
| 0.68239011718365358647 + 4.4867611802953029329e-890j | 5.95e-236, 5.95e-236j | 
| -0.80175984712866539843 + 7.7206739991368042376e-887j | 9.14e-233, 9.14e-233j | 
| -0.71447542930649101156 - 3.5639598665311804109e-889j | 4.54e-235, 4.54e-235j | 
| -0.74508370875818926375 + 3.9108606224525566429e-888j | 2.8e-234, 2.8e-234j | 
| 0.91170554006328717675 + 3.7600959649245932679e-882j | 8.39e-230, 8.39e-230j | 
| 0.57735026918962576451 - 6.9245484536486308096e-894j | 7.26e-239, 7.26e-239j | 
| 0.2925799740003368291 - 8.0501354641250752546e-903j | 4.86e-247, 4.86e-247j | 
| -0.2925799740003368291 + 4.1745365738206104945e-903j | 4.7e-247, 4.7e-247j | 
| -0.57735026918962576451 + 2.2764203212128654069e-895j | 7.62e-239, 7.62e-239j | 
| -0.91170554006328717675 - 2.4356845266933843629e-882j | 8.65e-230, 8.65e-230j | 
| 0.71447542930649101156 - 8.8350865724023622457e-889j | 4.53e-235, 4.53e-235j | 
| 0.61375987477044822826 - 5.210712864922691324e-893j | 7.9e-238, 7.9e-238j | 
| 0.98219129046748981137 + 2.0246240936786459693e-881j | 2.43e-228, 2.43e-228j | 
| -0.64880670170968723604 + 1.2201271355281485651e-903j | 7.13e-237, 7.13e-237j | 
| -0.68239011718365358647 - 2.4182953653124454067e-902j | 5.96e-236, 5.96e-236j | 
| -0.068509439373879866294 - 8.8245356579211006959e-920j | 1.09e-253, 1.09e-253j | 
| 0.46111006295702354451 + 8.6591694745515856609e-909j | 3.85e-242, 3.85e-242j | 
| 0.85110112875893547946 + 4.7644846869996011896e-899j | 2.06e-231, 2.06e-231j | 
| -0.92975579501629335971 - 4.3723205960953263907e-893j | 2.96e-229, 2.96e-229j | 
| -0.46111006295702354451 + 2.6699456832329276919e-910j | 4.35e-242, 4.35e-242j | 
| -0.95526936302604635714 - 5.6783861823487085635e-915j | 2.16e-227, 2.16e-227j | 
| 0.53970495345071090898 - 2.4128991844485551843e-932j | 7.3e-240, 7.3e-240j | 
| 0.50093357346678984413 + 2.7585868855426521998e-934j | 5.57e-241, 5.57e-241j | 
| -0.02255064885557926965 + 1.0337109401440471363e-947j | 5.83e-255, 5.83e-255j | 
| -0.42028669872369888199 - 8.0338204777458419761e-935j | 2.7e-243, 2.7e-243j | 
| -0.2486390713361216634 - 2.0030528926757670736e-941j | 2.27e-248, 2.27e-248j | 
| 0.068509439373879866294 + 1.6005099932737380328e-946j | 1.09e-253, 1.09e-253j | 
| 0.42028669872369888199 - 1.6979763132598125098e-936j | 2.77e-243, 2.77e-243j | 
| 0.15932622241604883463 - 9.280775873352927779e-944j | 4.86e-251, 4.86e-251j | 
| -0.53970495345071090898 + 1.3643031529603935155e-932j | 6.65e-240, 6.65e-240j | 
| -0.33591637530927440701 + 3.6393499521604133134e-938j | 1e-245, 1e-245j | 
| -2.5921592962793658926e-983 - 3.866383214977224686e-984j | 1.91e-981, 1.91e-981j | 
| 0.33591637530927440701 + 9.9517155193641999475e-939j | 9.56e-246, 9.56e-246j | 
| 0.2041968861768067152 + 1.8395093526674477399e-942j | 1.16e-249, 1.16e-249j | 
| -0.1140802956189406021 - 5.4864260693344703045e-945j | 2.15e-252, 2.15e-252j | 
| -0.37852488518370962071 + 1.1294747357918676112e-936j | 1.75e-244, 1.75e-244j | 
| -0.15932622241604883463 + 3.3735668878383722684e-943j | 5.23e-251, 5.23e-251j | 
| 0.2486390713361216634 - 5.5999526137338975586e-941j | 2.27e-248, 2.27e-248j | 
| 0.37852488518370962071 - 7.0242901630905200351e-938j | 1.68e-244, 1.68e-244j | 
| 0.02255064885557926965 - 1.8281411867063042754e-947j | 5.83e-255, 5.83e-255j | 
| -0.2041968861768067152 - 4.3676160999846664795e-942j | 1.13e-249, 1.13e-249j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0015282784979043083813 + 2.0630043944590795078e-787j | 1.3e-23, 1.51e-130j | 
| 0.0091235932504872246129 + 4.8349100931127876815e-790j | 6.2e-24, 7.22e-131j | 
| 0.020684349058424575263 + 3.5021837004081514089e-789j | 2.23e-24, 2.6e-131j | 
| 0.0065791540081857160106 - 4.3282189830288407652e-790j | 3.91e-24, 4.56e-131j | 
| -0.046635095964010155155 - 7.8117289543344456776e-787j | 1.59e-25, 1.85e-132j | 
| 0.017512712135255850148 - 2.7136853288854039373e-788j | 1.1e-25, 1.28e-132j | 
| 0.0018676906571449896074 - 3.8575874709831953856e-787j | 2.3e-25, 2.68e-132j | 
| 0.019485551956403766348 - 6.4701416230983678481e-790j | 1.19e-26, 1.39e-133j | 
| 0.0018676906571449896074 - 3.7648164755814953325e-790j | 3.23e-26, 3.76e-133j | 
| 0.0034793995166256890238 + 2.40637986455014788e-787j | 4.62e-26, 5.38e-133j | 
| 0.019485551956403766348 - 1.1471391745548400871e-788j | 5.29e-28, 6.17e-135j | 
| 0.0015282784979043083813 + 9.0202744234181637519e-791j | 1.72e-26, 2e-133j | 
| 0.011723385686473123852 - 7.8272544505181767082e-790j | 6.12e-27, 7.13e-134j | 
| 0.020659650036966942347 + 5.8498304759384543125e-790j | 5.4e-29, 6.29e-136j | 
| 0.034327219172102105046 + 1.1092884254604010722e-789j | 2.55e-31, 2.97e-138j | 
| 0.020659650036966942347 + 8.6407655336101539905e-789j | 1.87e-29, 2.18e-136j | 
| 0.020684349058424575263 + 1.3109803104216885873e-787j | 1.94e-28, 2.26e-135j | 
| 0.011723385686473123852 - 5.5926888741975410624e-788j | 2.75e-29, 3.21e-136j | 
| 0.028368112166980766963 + 3.2017730931986457451e-790j | 3.91e-34, 4.55e-141j | 
| 0.053224767475278252169 + 1.5226676303202296999e-788j | 2.01e-30, 2.34e-137j | 
| 0.053224767475278252169 + 6.9917850962041681948e-787j | 3.89e-28, 4.54e-135j | 
| 0.029876600751384466489 - 1.9914681423812674974e-789j | 1.82e-34, 2.11e-141j | 
| 0.0065791540081857160106 - 9.2304870340258590437e-788j | 3.15e-29, 3.67e-136j | 
| 0.0225359700940587831 - 5.0639713258085221758e-790j | 8.58e-34, 1e-140j | 
| 0.024705929561752095879 + 4.2627002985011113865e-790j | 2.03e-34, 2.36e-141j | 
| 0.045416577055449806415 - 1.0507589923355979209e-789j | 4.17e-39, 4.85e-146j | 
| 0.028368112166980766963 + 2.5219520408686050316e-789j | 6e-35, 6.99e-142j | 
| 0.026680155004116236219 - 3.3128573637350775409e-789j | 7.2e-35, 8.39e-142j | 
| 0.0034793995166256890238 + 5.0782144549771580315e-790j | 1.99e-32, 2.32e-139j | 
| 0.035748878153310489798 - 2.2595142160523276558e-790j | 1.3e-39, 1.52e-146j | 
| 0.039307031915486032258 + 2.2218828674765175478e-790j | 1.85e-40, 2.15e-147j | 
| 0.024705929561752095879 + 4.5300039440703313177e-789j | 4.43e-35, 5.16e-142j | 
| 0.032833927327429702605 - 1.326933909260255436e-789j | 1.9e-37, 2.21e-144j | 
| 0.026680155004116236219 - 3.6349203408847881317e-790j | 3.99e-37, 4.64e-144j | 
| 0.031341650534268805441 + 2.6800425258377668549e-790j | 1.47e-39, 1.72e-146j | 
| 0.029876600751384466489 - 2.903071198173209009e-790j | 8.87e-39, 1.03e-145j | 
| 0.018576470805815883584 + 1.5876227834667593701e-788j | 8.42e-36, 9.81e-143j | 
| 0.037048353553942702102 + 8.2361501116619375095e-790j | 4.08e-42, 4.75e-149j | 
| 0.043658219762451732134 - 5.8259502610640387455e-790j | 6.49e-45, 7.56e-152j | 
| 0.043658219762451732134 - 3.1872450841262703555e-790j | 1.81e-45, 2.11e-152j | 
| 0.037048353553942702102 + 2.20451529770212731e-790j | 1.63e-42, 1.9e-149j | 
| 0.018576470805815883584 + 7.283841704507525596e-790j | 1.04e-38, 1.22e-145j | 
| 0.031341650534268805441 + 1.6121706863493593447e-789j | 5.99e-40, 6.98e-147j | 
| 0.035748878153310489798 - 9.4520008017369102033e-790j | 8.09e-42, 9.42e-149j | 
| 0.0091235932504872246129 + 5.5724704312248111895e-788j | 5.62e-37, 6.54e-144j | 
| 0.034327219172102105046 + 2.3595059651926182745e-790j | 1.42e-42, 1.66e-149j | 
| 0.032833927327429702605 - 2.5011101299944851686e-790j | 4.29e-42, 5e-149j | 
| 0.04572106474182267294 + 1.4260149223503005531e-789j | 5.18e-49, 6.03e-156j | 
| 0.04033186357068243478 - 6.2116108386835520824e-790j | 9e-47, 1.05e-153j | 
| 0.0225359700940587831 - 6.319534802596752878e-789j | 1.25e-40, 1.46e-147j | 
| 0.017512712135255850148 - 9.794508294541192659e-790j | 8.26e-41, 9.63e-148j | 
| 0.04033186357068243478 - 2.289327553119804527e-790j | 1.16e-47, 1.35e-154j | 
| -0.046635095964010155155 - 1.763042450195602805e-788j | 2.1e-39, 2.45e-146j | 
| 0.038223681478745527349 - 7.3431663209313646547e-790j | 1.73e-46, 2.02e-153j | 
| 0.039307031915486032258 + 6.6877837943920122386e-790j | 3.03e-47, 3.53e-154j | 
| 0.046501237181930804323 - 4.5442808309202323119e-789j | 1.3e-51, 1.51e-158j | 
| 0.041305023876400478303 + 2.4006656388892192725e-790j | 6.63e-50, 7.72e-157j | 
| 0.044206191394021330456 + 3.729143236214744598e-790j | 1.38e-51, 1.61e-158j | 
| 0.04572106474182267294 + 1.6359152852077278208e-789j | 3.35e-52, 3.91e-159j | 
| 0.041305023876400478303 + 5.8852868071715352401e-790j | 6.65e-51, 7.74e-158j | 
| 0.045066598658740041377 + 8.1209718479642795028e-790j | 1.5e-52, 1.75e-159j | 
| 0.038223681478745527349 - 2.1931812978604004932e-790j | 5.67e-50, 6.6e-157j | 
| 0.042993561595404753794 + 2.8199685873737186611e-790j | 3.31e-52, 3.86e-159j | 
| -0.0017544974534622175865 + 7.3408791811856182287e-789j | 9.3e-53, 1.08e-159j | 
| 0.042993561595404753794 + 5.675490691863165902e-790j | 2.42e-53, 2.81e-160j | 
| 0.044666255997889129982 - 6.8897988782254193042e-790j | 1.3e-53, 1.52e-160j | 
| 0.045416577055449806415 - 8.3544743299051695539e-790j | 2.7e-54, 3.14e-161j | 
| 0.042203238057404044848 - 2.5697163784389406113e-790j | 1.04e-53, 1.21e-160j | 
| 0.045066598658740041377 + 5.8876551222531838529e-790j | 8.73e-55, 1.02e-161j | 
| 0.044206191394021330456 + 6.1992508221473548381e-790j | 6.04e-55, 7.07e-162j | 
| 0.042203238057404044848 - 5.7031202161438269144e-790j | 5.93e-55, 6.94e-162j | 
| 0.046501237181930804323 - 4.7540944134871445121e-789j | 2.15e-54, 2.56e-161j | 
| 0.044666255997889129982 - 4.5519831614422237731e-790j | 2.37e-55, 2.69e-162j | 
All rules of Legendre type can be downloaded here packed into a single file.