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) | 
|---|---|
| 5.4422710891785068052 + 8.6917288581679255292e-275j | 1.06e-120, 1.06e-120j | 
| 6.8467221357079942963 - 4.3529765687911206472e-276j | 1.1e-120, 1.1e-120j | 
| -9.5158120069473620141 + 8.1192868600683505182e-288j | 3.2e-122, 3.2e-122j | 
| -7.6221027224809872954 + 2.389997228127339442e-311j | 5.92e-121, 5.92e-121j | 
| -6.8467221357079942963 - 4.1582435805690674014e-334j | 9.28e-121, 9.28e-121j | 
| 2.9276781543228852572 + 1.3773046267914485404e-346j | 1.56e-122, 1.56e-122j | 
| -8.4838265578465487362 - 2.0206108516052996193e-345j | 1.88e-121, 1.88e-121j | 
| 7.6221027224809872954 + 1.500058161664269528e-352j | 5.78e-121, 5.78e-121j | 
| -6.1256353482437163654 - 3.977267489470573528e-352j | 1.18e-120, 1.18e-120j | 
| 3.5335337709909930353 + 3.062987712178904244e-359j | 7.19e-122, 7.19e-122j | 
| 3.8029009936670324561e-365 + 4.9486262799505780194e-365j | 1.81e-363, 1.81e-363j | 
| 8.4838265578465487362 - 2.2124226078818052058e-358j | 1.83e-121, 1.83e-121j | 
| -2.3315048840655651231 + 5.4033516859408595241e-358j | 2.64e-123, 2.64e-123j | 
| -3.5335337709909930353 + 6.792353546446618673e-357j | 7.08e-122, 7.08e-122j | 
| 9.5158120069473620141 + 1.5531283527481863837e-365j | 3.41e-122, 3.41e-122j | 
| 4.7866110623528069815 + 1.677883916195421614e-363j | 5.22e-121, 5.22e-121j | 
| -2.9276781543228852572 - 4.3662423213018246741e-363j | 1.37e-122, 1.37e-122j | 
| -4.1519648551009832838 + 3.213113367348461958e-368j | 2.08e-121, 2.08e-121j | 
| -1.7426162326106616133 - 1.1298459463473836877e-379j | 2.93e-124, 2.93e-124j | 
| 6.1256353482437163654 + 5.4665238404576837676e-375j | 1.19e-120, 1.19e-120j | 
| 2.3315048840655651231 + 2.3253898610530295612e-382j | 2.49e-123, 2.49e-123j | 
| 1.7426162326106616133 + 1.8873262906699199952e-383j | 3.1e-124, 3.1e-124j | 
| -1.158946149400189452 - 4.7675476330867846668e-383j | 3.31e-125, 3.31e-125j | 
| -0.57864617803316430756 + 7.9051246143533765669e-385j | 3.34e-126, 3.34e-126j | 
| -4.7866110623528069815 - 2.1360323630275969935e-379j | 4.72e-121, 4.72e-121j | 
| 4.1519648551009832838 - 5.2585349255965080573e-389j | 2.34e-121, 2.34e-121j | 
| 0.57864617803316430756 + 7.0141420619219474874e-398j | 3.34e-126, 3.34e-126j | 
| -5.4422710891785068052 + 1.3528699486857171895e-391j | 9.79e-121, 9.79e-121j | 
| 1.158946149400189452 - 6.5759417840105239173e-402j | 3.02e-125, 3.02e-125j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.8689685435606542803e-08 - 2.3337148030297199957e-281j | 1.04e-34, 4.28e-95j | 
| 1.9657099447347823124e-11 + 8.6490524316081399066e-284j | 1.49e-37, 6.13e-98j | 
| 1.0293418087219364448e-20 + 1.8508243715431509593e-289j | 1.01e-42, 4.15e-103j | 
| 7.8428404256585651489e-14 + 5.8494210864308177258e-286j | 1.93e-40, 7.95e-101j | 
| 1.9657099447347823124e-11 - 9.8448679722137204083e-285j | 1.27e-39, 5.24e-100j | 
| 0.0032979722108336659672 - 6.2330534843696672494e-280j | 2.55e-32, 1.05e-92j | 
| 8.6574916679572283533e-17 - 1.8231807410145636692e-287j | 8.24e-42, 3.4e-102j | 
| 7.8428404256585651489e-14 - 3.500998793582373065e-285j | 4.25e-42, 1.75e-102j | 
| 1.9861235460670706094e-09 + 1.0512756313072962798e-283j | 1.49e-39, 6.14e-100j | 
| 0.00047436637388934908609 + 3.1144112277063225925e-280j | 1.88e-35, 7.76e-96j | 
| 0.23073727670048704578 + 2.4086666318509855653e-279j | 7.17e-34, 2.96e-94j | 
| 8.6574916679572283533e-17 + 8.3420285500367778239e-287j | 6.89e-44, 2.84e-104j | 
| 0.015594005777867257963 + 4.3835786795733159279e-280j | 2.49e-34, 1.03e-94j | 
| 0.00047436637388934908609 + 6.6215564314682797257e-281j | 2.14e-37, 8.82e-98j | 
| 1.0293418087219364448e-20 - 6.7933037877085472849e-289j | 4.79e-46, 1.97e-106j | 
| 2.7211278280581157879e-06 + 6.8681553531370493904e-281j | 3.19e-39, 1.31e-99j | 
| 0.0032979722108336659672 - 1.8723187493254961475e-280j | 9.21e-37, 3.8e-97j | 
| 4.5083940269809461426e-05 - 1.9097421804300666865e-281j | 3.76e-39, 1.55e-99j | 
| 0.051210835288719042046 - 8.5950057571074408776e-280j | 2.38e-35, 9.81e-96j | 
| 1.9861235460670706094e-09 - 1.7819016513380544768e-282j | 2.06e-41, 8.48e-102j | 
| 0.015594005777867257963 + 1.0955746888450149599e-279j | 2.4e-37, 9.9e-98j | 
| 0.051210835288719042046 - 1.6693185321085579608e-279j | 8.93e-37, 3.69e-97j | 
| 0.118560319266903537 + 1.4234247739188201036e-279j | 6.3e-36, 2.61e-96j | 
| 0.19544595696790116136 - 2.003751046016383905e-279j | 8.47e-36, 3.51e-96j | 
| 2.7211278280581157879e-06 + 4.4006655071152471304e-282j | 7.41e-41, 3.06e-101j | 
| 4.5083940269809461426e-05 - 1.4204082417177753141e-280j | 3.33e-40, 1.32e-100j | 
| 0.19544595696790116136 - 2.4806019073815727667e-279j | 8.52e-38, 3.38e-98j | 
| 9.8689685435606542803e-08 - 7.8758203238663474078e-283j | 9.88e-42, 4.11e-102j | 
| 0.118560319266903537 + 2.1938123717239023216e-279j | 4.15e-38, 1.59e-98j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.