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) | 
|---|---|
| -2.2201724783418921227 - 8.5988814176858736023e-137j | 7.56e-62, 7.56e-62j | 
| 2.2201724783418921227 + 0j | 8.26e-62, 8.26e-62j | 
| -3.1316817004388926669 + 2.5026038689788761555e-147j | 5.57e-62, 5.57e-62j | 
| 0.7071067811865475244 - 7.8206370905589879861e-148j | 5.22e-63, 5.22e-63j | 
| 3.1316817004388926669 + 1.527468181749802341e-150j | 5.42e-62, 5.42e-62j | 
| 1.4364553225037617879 - 9.7757963631987349826e-150j | 3.08e-62, 3.08e-62j | 
| 1.0997770908598576855e-149 + 1.8329618180997628092e-150j | 1e-148, 1e-148j | 
| -0.7071067811865475244 + 1.0174982068565723343e-166j | 7.2e-63, 7.2e-63j | 
| -1.4364553225037617879 + 1.7650780261984014534e-184j | 3.83e-62, 3.83e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0033794707815047981805 - 6.7341807588674644475e-139j | 7.32e-29, 3.57e-59j | 
| 0.0033794707815047981805 - 6.5444619267453887893e-140j | 2.28e-29, 1.11e-59j | 
| 3.2127309356722662416e-05 - 2.821715513495327951e-140j | 1.88e-30, 9.15e-61j | 
| 0.24437548487199379364 - 9.4023062741337295542e-139j | 6.08e-28, 2.84e-58j | 
| 3.2127309356722662416e-05 + 4.8058478933575948003e-141j | 1.08e-30, 5.28e-61j | 
| 0.05371667643564092612 + 3.3880386022709051818e-139j | 8.93e-29, 4.34e-59j | 
| 0.3969924812030075188 + 1.6019606640359677325e-138j | 3.83e-28, 1.79e-58j | 
| 0.24437548487199379364 - 1.8190337803435242361e-138j | 1.09e-28, 4.93e-59j | 
| 0.05371667643564092612 + 1.5807738858896349582e-138j | 4.06e-29, 1.95e-59j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.