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.
    
| Node (ball center) | Error (ball radius) | 
|---|---|
| -6.5500142687656830651 + 2.067061389396511888e-369j | 3.21e-120, 3.21e-120j | 
| -9.8933857089866511454 + 7.6125017994080775805e-375j | 6.1e-122, 6.1e-122j | 
| -8.8743014094887900445 + 1.3478950225282818349e-380j | 4.71e-121, 4.71e-121j | 
| 2.8287927681575078515 - 1.891829847217460707e-387j | 1.97e-122, 1.97e-122j | 
| 4.0046009014912233904 + 2.83616416080199804e-387j | 3.7e-121, 3.7e-121j | 
| -5.8778558859862577222 + 1.4320789365241062666e-383j | 2.83e-120, 2.83e-120j | 
| -4.0046009014912233904 + 8.421261134983863367e-387j | 3.66e-121, 3.66e-121j | 
| 8.8743014094887900445 + 5.9398150705351392096e-391j | 4.83e-121, 4.83e-121j | 
| 7.2600004888908646829 - 8.4231415889977626813e-402j | 3.16e-120, 3.16e-120j | 
| 3.4115324158431556302 - 1.7661943698419111432e-412j | 9.96e-122, 9.96e-122j | 
| -8.0241932273616464551 - 1.6510878484273737052e-412j | 1.51e-120, 1.51e-120j | 
| 9.8933857089866511454 + 4.6038754157071853685e-420j | 7e-122, 7e-122j | 
| 5.8778558859862577222 - 4.3884343837822666118e-422j | 3.96e-120, 3.96e-120j | 
| -2.2540950007544107882 - 3.2900209901201856503e-428j | 3.32e-123, 3.32e-123j | 
| -1.6854979050690520312 + 6.9411635553201931245e-432j | 3.32e-124, 3.32e-124j | 
| 2.2540950007544107882 + 1.7676397572966421472e-432j | 3.54e-123, 3.54e-123j | 
| -5.233641511712707723 - 9.4553712196987572159e-432j | 2.05e-120, 2.05e-120j | 
| -7.2600004888908646829 - 2.2796919546151124807e-441j | 3.34e-120, 3.34e-120j | 
| -4.6107897973239905731 - 4.8145524386894884242e-446j | 1.01e-120, 1.01e-120j | 
| -2.8287927681575078515 - 1.0816283812101000272e-447j | 1.99e-122, 1.99e-122j | 
| 1.6854979050690520312 - 6.0282120276534724514e-450j | 3.32e-124, 3.32e-124j | 
| 0.55994758784100286353 - 1.8797563126651213545e-457j | 4.72e-126, 4.72e-126j | 
| -3.4115324158431556302 - 7.3594436686878668348e-448j | 9.57e-122, 9.57e-122j | 
| 5.233641511712707723 - 1.5145510976767789065e-444j | 2.1e-120, 2.1e-120j | 
| -0.55994758784100286353 - 4.0784431743491417929e-463j | 4.72e-126, 4.72e-126j | 
| 4.6107897973239905731 + 1.886273642047215876e-455j | 1.04e-120, 1.04e-120j | 
| 1.1212973740470093023 + 1.1332721754275025039e-469j | 4.01e-125, 4.01e-125j | 
| 6.5500142687656830651 - 5.1641094223992269967e-471j | 3.4e-120, 3.4e-120j | 
| 6.6100470620129776011e-490 - 1.6514020622644067143e-489j | 5.51e-488, 5.51e-488j | 
| -1.1212973740470093023 - 4.8442061015089824046e-486j | 4.29e-125, 4.29e-125j | 
| 8.0241932273616464551 - 7.7075924535320356137e-487j | 1.71e-120, 1.71e-120j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.3272514835897104702e-10 + 8.9850157918303898922e-379j | 7.9e-31, 4.72e-91j | 
| 2.6059738548930083167e-22 - 1.1498213896326812568e-385j | 1.45e-36, 8.64e-97j | 
| 2.8833523678578342821e-18 + 1.7397588926210662107e-383j | 4.59e-35, 2.74e-95j | 
| 0.0042217177672707051766 + 1.6497836000509029909e-376j | 2.51e-23, 1.5e-83j | 
| 7.8716240696022419012e-05 + 2.0017957087448256025e-377j | 1.23e-27, 7.32e-88j | 
| 8.2439316191197409886e-09 - 3.2168110780628389498e-378j | 7.6e-31, 4.54e-91j | 
| 7.8716240696022419012e-05 + 8.3004920249406760117e-377j | 1.52e-27, 9.05e-88j | 
| 2.8833523678578342821e-18 - 2.6216393041302453981e-384j | 1.31e-38, 7.85e-99j | 
| 1.0496033623113593945e-12 - 1.7666415828814876044e-381j | 2.45e-36, 1.46e-96j | 
| 0.00069603127137929193123 - 6.3069238311237664292e-377j | 6.01e-28, 3.59e-88j | 
| 3.3284683241484067845e-15 - 9.3197012438498730959e-382j | 3.39e-36, 2.02e-96j | 
| 2.6059738548930083167e-22 + 2.3378863258200034193e-386j | 2.05e-40, 1.23e-100j | 
| 8.2439316191197409886e-09 - 1.7398045723208047635e-379j | 2.26e-34, 1.35e-94j | 
| 0.017967875843441640652 - 7.4305719262365832586e-376j | 1.97e-27, 1.18e-87j | 
| 0.054567258894474982276 + 1.1435532303837839906e-375j | 1.45e-25, 8.67e-86j | 
| 0.017967875843441640652 - 3.6257088744688462729e-376j | 1.41e-27, 8.39e-88j | 
| 2.8456100881628338026e-07 + 9.6502551192267598314e-378j | 2.71e-33, 1.62e-93j | 
| 1.0496033623113593945e-12 + 3.4363126550043571037e-380j | 4.55e-36, 2.72e-96j | 
| 5.9232023176863260452e-06 - 2.9886852839340661625e-377j | 9.74e-33, 5.82e-93j | 
| 0.0042217177672707051766 + 4.1580438130359463565e-376j | 4.37e-31, 2.61e-91j | 
| 0.054567258894474982276 + 6.7546902785687826716e-376j | 6.63e-31, 3.96e-91j | 
| 0.19113200477464314855 + 1.4642978385974240814e-375j | 5.49e-30, 3.28e-90j | 
| 0.00069603127137929193123 - 2.0018186857263129023e-376j | 7.85e-32, 4.69e-92j | 
| 2.8456100881628338026e-07 + 1.0780468450749760393e-378j | 3.9e-37, 2.33e-97j | 
| 0.19113200477464314855 + 1.7380610824068514044e-375j | 1.1e-31, 6.54e-92j | 
| 5.9232023176863260452e-06 - 5.1929337758595664847e-378j | 3.07e-36, 1.83e-96j | 
| 0.11968310969585459495 - 1.073932018998234884e-375j | 1.79e-32, 1.07e-92j | 
| 1.3272514835897104702e-10 + 2.0942781062640523025e-380j | 1.8e-39, 1.06e-99j | 
| 0.2232941387424068185 - 1.718012819913476683e-375j | 2.09e-33, 1.05e-93j | 
| 0.11968310969585459495 - 1.5175717136662375107e-375j | 5.57e-34, 2.49e-94j | 
| 3.3284683241484067845e-15 + 9.4268641899382871893e-383j | 6.14e-42, 3.76e-102j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.