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) | 
|---|---|
| -0.99846408876102889709 - 5.068287577707824859e-895j | 4.77e-236, 4.77e-236j | 
| 0.99846408876102889709 - 1.2532182639072153137e-896j | 4.49e-236, 4.49e-236j | 
| -0.9130922314964186299 + 1.9099098866067598025e-909j | 5.38e-236, 5.38e-236j | 
| 0.99028225247383512569 + 1.7437997673088934118e-906j | 2.43e-235, 2.43e-235j | 
| 0.90107678671623523127 - 1.1492281388497283671e-915j | 2.18e-236, 2.18e-236j | 
| 0.95280406968027788258 - 2.32365689864744181e-919j | 5.59e-236, 5.59e-236j | 
| 0.99444997880691468328 + 1.7980031216590471165e-918j | 1.97e-235, 1.97e-235j | 
| -0.90107678671623523127 + 6.4515553630503279242e-922j | 2.05e-236, 2.05e-236j | 
| 0.9695948685985902017 + 4.3087232800727860782e-929j | 1.22e-235, 1.22e-235j | 
| -0.99444997880691468328 - 1.075051019928943681e-931j | 1.94e-235, 1.94e-235j | 
| 0.86113631159405257522 - 8.0192183353077601633e-945j | 1.38e-237, 1.38e-237j | 
| 0.979984994846605313 + 7.1772294206133502207e-946j | 1.74e-235, 1.74e-235j | 
| -0.86113631159405257522 - 4.5181736407070862598e-950j | 1.32e-237, 1.32e-237j | 
| -0.78604649147041988612 + 2.4659386797540830295e-953j | 4.08e-238, 4.08e-238j | 
| 0.54627694908708365616 + 1.2618994172116813707e-959j | 1.01e-243, 1.01e-243j | 
| 0.8095601904486761601 - 5.3679880644354590334e-952j | 1.06e-237, 1.06e-237j | 
| 0.9130922314964186299 - 1.6700552637050211266e-950j | 5.34e-236, 5.34e-236j | 
| -0.9695948685985902017 - 1.3136494429162144425e-950j | 1.32e-235, 1.32e-235j | 
| -0.79754531704369287258 - 2.7226847470747669034e-964j | 1.18e-237, 1.18e-237j | 
| -0.99028225247383512569 - 8.9005909465134512889e-967j | 2.41e-235, 2.41e-235j | 
| -0.8095601904486761601 - 1.5297954338217437703e-983j | 1.02e-237, 1.02e-237j | 
| 0.72317255923281838433 - 1.2377766958448730715e-987j | 3.6e-240, 3.6e-240j | 
| -0.92606954936348542145 + 9.0897112476188455217e-981j | 5.19e-236, 5.19e-236j | 
| -0.72317255923281838433 + 1.3495700807669336089e-992j | 3.61e-240, 3.61e-240j | 
| -0.64918550227781136819 - 3.9865065247761371567e-993j | 2.08e-240, 2.08e-240j | 
| 0.92606954936348542145 + 1.4692114751876191677e-988j | 5.12e-236, 5.12e-236j | 
| 0.79754531704369287258 - 1.5517107588249947272e-992j | 1.26e-237, 1.26e-237j | 
| 0.78604649147041988612 + 6.3584306956003751118e-994j | 4.09e-238, 4.09e-238j | 
| -0.979984994846605313 + 1.5975962444753652467e-994j | 1.69e-235, 1.69e-235j | 
| -0.63903634397661954543 + 1.5543036900065298403e-1013j | 2.39e-240, 2.39e-240j | 
| -0.95280406968027788258 - 3.2300725696198214804e-1015j | 6.14e-236, 6.14e-236j | 
| 0.64918550227781136819 - 1.8343488097882473525e-1020j | 1.93e-240, 1.93e-240j | 
| 0.63903634397661954543 + 3.0252002529746299273e-1021j | 2.54e-240, 2.54e-240j | 
| -0.11539569344883949077 + 4.1919921864777112398e-1038j | 2.01e-253, 2.01e-253j | 
| -0.62925870255729126761 + 4.2737750260475455969e-1026j | 8.25e-241, 8.25e-241j | 
| -0.4535399770960609635 + 1.3735522551717000426e-1029j | 4.31e-244, 4.31e-244j | 
| -1.8132439643734364694e-1034 - 1.5283565408464365579e-1034j | 1.3e-1032, 1.3e-1032j | 
| 0.62925870255729126761 - 6.2543446479703255491e-1030j | 8.58e-241, 8.58e-241j | 
| 0.22923147134799356198 + 4.1307552618501888685e-1038j | 3.71e-248, 3.71e-248j | 
| -0.3399810435848562648 + 5.4670069819043749325e-1037j | 3.4e-248, 3.4e-248j | 
| -0.54627694908708365616 + 2.0971900794813146875e-1032j | 1.06e-243, 1.06e-243j | 
| -0.22539659103759490465 - 1.2965508047444817053e-1039j | 1.38e-248, 1.38e-248j | 
| 0.43898374039699711762 - 1.4613918734605622648e-1033j | 2.16e-244, 2.16e-244j | 
| 0.44614207406094625197 + 8.1167182975372126482e-1033j | 6.53e-244, 6.53e-244j | 
| 0.00081650472666657241228 + 3.0884361871913849899e-1041j | 1.08e-256, 1.08e-256j | 
| -0.44614207406094625197 - 2.9693650606017494871e-1032j | 5.98e-244, 5.98e-244j | 
| -0.23320451244680527273 + 6.3313156914939354139e-1041j | 1.91e-248, 1.91e-248j | 
| 0.22539659103759490465 + 7.2730547206913063001e-1041j | 1.44e-248, 1.44e-248j | 
| 0.4535399770960609635 + 5.5153394270314768277e-1037j | 4.61e-244, 4.61e-244j | 
| 0.11539569344883949077 - 1.0671512176331040895e-1046j | 2.01e-253, 2.01e-253j | 
| -0.22923147134799356198 - 1.6528724590038285724e-1040j | 3.58e-248, 3.58e-248j | 
| -0.43898374039699711762 - 1.9137335957159080511e-1036j | 2.26e-244, 2.26e-244j | 
| -0.00081650472666657241228 + 1.3690680704119462749e-1048j | 7.32e-257, 7.32e-257j | 
| 0.23320451244680527273 - 9.2635750768482285602e-1041j | 1.96e-248, 1.96e-248j | 
| 0.3399810435848562648 + 2.0400813867862837862e-1040j | 3.14e-248, 3.14e-248j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0038078130892350110145 - 1.1295022683228479681e-894j | 7.89e-40, 7.69e-152j | 
| 0.0038078130892350110145 + 2.6962971089219201208e-896j | 3.39e-40, 3.3e-152j | 
| -0.021437105508906392749 + 7.847201628241517905e-895j | 1.14e-40, 1.12e-152j | 
| 0.0082228740149086808551 + 3.4016152304376372474e-896j | 1.76e-40, 1.71e-152j | 
| 0.045061918824452521699 - 1.1645489472329895878e-896j | 1.14e-41, 1.11e-153j | 
| 0.021610023120476995475 - 4.211614266290976021e-898j | 1.45e-41, 1.41e-153j | 
| 0.0024178850755424473773 - 5.3067871263943482748e-896j | 1.12e-40, 1.09e-152j | 
| 0.045061918824452521699 - 4.3819747603777100246e-895j | 2.46e-44, 2.39e-156j | 
| 0.011938710450856404355 + 5.7079430256508901383e-897j | 7.72e-42, 7.52e-154j | 
| 0.0024178850755424473773 + 2.3363918499910090166e-894j | 8.58e-46, 8.36e-158j | 
| 0.041711433019580049615 + 4.8028403352826909544e-897j | 1.48e-44, 1.44e-156j | 
| 0.010731082501761807496 - 1.2623423768338585496e-896j | 1.46e-41, 1.42e-153j | 
| 0.041711433019580049615 + 9.7596481967635410194e-896j | 1.67e-46, 1.63e-158j | 
| 0.14091252738237186186 - 4.6108070642229223694e-895j | 2.58e-47, 2.52e-159j | 
| 0.07200900536029198078 + 7.7191936879563575403e-897j | 4.13e-48, 4.02e-160j | 
| 0.12625717270009608418 - 3.8929898398206782494e-896j | 2.28e-46, 2.22e-158j | 
| -0.021437105508906392749 + 1.5660106313485134725e-896j | 4.56e-44, 4.44e-156j | 
| 0.011938710450856404355 - 5.673093104657565495e-895j | 2.43e-48, 2.37e-160j | 
| -0.17947399001737187655 + 8.7936058906177599389e-895j | 3.77e-48, 3.67e-160j | 
| 0.0082228740149086808551 - 1.6500928126171370201e-894j | 3.58e-48, 3.48e-160j | 
| 0.12625717270009608418 - 4.8686255634635561416e-895j | 2.06e-48, 2.01e-160j | 
| 0.058606644805030936889 + 6.4470134968954929013e-897j | 1.15e-51, 1.12e-163j | 
| 0.036247781673245249963 - 5.2835307629701447685e-895j | 2.7e-48, 2.63e-160j | 
| 0.058606644805030936889 + 4.7505467523468906177e-896j | 4.02e-51, 3.91e-163j | 
| 0.35873199108490748449 - 5.897453856811637305e-895j | 1.67e-52, 1.63e-164j | 
| 0.036247781673245249963 - 6.8168146897897879527e-897j | 2.02e-48, 1.96e-160j | 
| -0.17947399001737187655 + 7.6842585310701857691e-896j | 7.15e-51, 6.96e-163j | 
| 0.14091252738237186186 - 4.3611700305238299114e-896j | 2.46e-51, 2.4e-163j | 
| 0.010731082501761807496 + 8.202342327092035024e-895j | 1.24e-51, 1.2e-163j | 
| -0.63050457249490131939 + 1.136971667922619518e-894j | 1.91e-55, 1.86e-167j | 
| 0.021610023120476995475 + 3.1731833486143851596e-895j | 6.79e-52, 6.62e-164j | 
| 0.35873199108490748449 - 1.1101722956659599811e-895j | 1.5e-56, 1.46e-168j | 
| -0.63050457249490131939 + 2.2265773208528512253e-895j | 1e-56, 9.78e-169j | 
| 0.08613313862255314776 + 1.4395986602652823904e-896j | 1.69e-62, 1.65e-174j | 
| 0.3832391764552216886 - 5.8416332789945922814e-895j | 3.87e-57, 3.77e-169j | 
| 1.0510779612718476639 - 9.5307390947756840627e-895j | 2.98e-61, 2.9e-173j | 
| -235.07824627022070412 + 1.0299984175011706981e-892j | 2.73e-63, 2.66e-175j | 
| 0.3832391764552216886 - 1.1872329004903592832e-895j | 2.05e-58, 2e-170j | 
| -9.3797762127587758877 + 3.4138858316600879703e-894j | 6.77e-64, 6.6e-176j | 
| 0.081340602887717663773 + 1.9475342184648860316e-896j | 3.21e-63, 3.13e-175j | 
| 0.07200900536029198078 + 2.8594463605859831021e-896j | 2.35e-61, 2.29e-173j | 
| 4.8505846175969409918 - 2.8367979259916203194e-894j | 6.27e-64, 6.11e-176j | 
| 1.0983914919910709203 - 3.5421241336196265686e-895j | 7.59e-64, 7.4e-176j | 
| -2.0199856445274610763 + 6.8301886682219832533e-895j | 8.71e-64, 8.49e-176j | 
| 117.61137569127806029 - 5.1462032660392415548e-893j | 4.83e-64, 4.7e-176j | 
| -2.0199856445274610763 + 1.8919124110279972569e-894j | 9.11e-64, 8.88e-176j | 
| 4.6698911172115987309 - 2.7644768178418816941e-894j | 7.86e-65, 7.66e-177j | 
| 4.8505846175969409918 - 1.7490743701289524332e-894j | 2.74e-66, 2.68e-178j | 
| 1.0510779612718476639 - 3.3724327527148538474e-895j | 3.69e-65, 3.59e-177j | 
| 0.08613313862255314776 + 1.1278269508311142147e-896j | 7.01e-68, 6.83e-180j | 
| -9.3797762127587758877 + 5.5845359196269167775e-894j | 6.83e-65, 6.65e-177j | 
| 1.0983914919910709203 - 9.6244701192445634057e-895j | 1.66e-65, 1.62e-177j | 
| 117.61137569127806029 - 5.1550543851800755759e-893j | 1.5e-64, 1.46e-176j | 
| 4.6698911172115987309 - 1.67500003573596222e-894j | 1.12e-66, 1.09e-178j | 
| 0.081340602887717663773 + 9.2119052910678702538e-897j | 6.38e-69, 6.16e-181j | 
All rules of Legendre type can be downloaded here packed into a single file.