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) | 
|---|---|
| 0.31424037625435911128 + 2.5037154554199912773e-158j | 2.49e-63, 2.49e-63j | 
| -3.0206370251208897717 - 1.4923307033896394237e-165j | 3.13e-61, 3.13e-61j | 
| -0.9477883912401637437 + 2.9613095302384240039e-177j | 1.54e-62, 1.54e-62j | 
| 3.8897248978697819193 - 1.2049599325514420589e-181j | 1.42e-61, 1.42e-61j | 
| -3.8897248978697819193 - 3.6772458879133363613e-184j | 1.32e-61, 1.32e-61j | 
| 1.5976826351526047967 - 5.7232525721307420174e-189j | 9.38e-62, 9.38e-62j | 
| -0.31424037625435911128 + 7.1821208748307350807e-189j | 2.49e-63, 2.49e-63j | 
| 2.2795070805010599002 - 3.5068949584134448636e-191j | 2.44e-61, 2.44e-61j | 
| -2.2795070805010599002 + 8.0998050951076143065e-199j | 2.55e-61, 2.55e-61j | 
| 3.0206370251208897717 + 2.0245864744416934057e-206j | 3.11e-61, 3.11e-61j | 
| 0.9477883912401637437 + 0j | 1.54e-62, 1.54e-62j | 
| -1.5976826351526047967 + 2.9704555723361872242e-213j | 8.66e-62, 8.66e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.32166436151282999193 - 2.5307538277074063809e-159j | 1.99e-24, 1.01e-54j | 
| 4.8371849225906277786e-05 + 2.9614398269240672399e-161j | 2.27e-27, 1.16e-57j | 
| 0.146967048045329988 - 4.3134738960978286811e-159j | 6.9e-25, 3.51e-55j | 
| 1.4999271676371678258e-07 - 1.5381072773572570448e-162j | 3.64e-29, 1.87e-59j | 
| 1.4999271676371678258e-07 - 1.3081646544487977955e-162j | 7.87e-29, 4.02e-59j | 
| 0.029116687912364151216 + 1.8879091632175871816e-159j | 5.85e-26, 2.99e-56j | 
| 0.32166436151282999193 + 1.2814330908719525821e-158j | 1.21e-24, 6.15e-55j | 
| 0.0022033806875331988662 - 3.3916397492186401574e-160j | 1.89e-27, 9.73e-58j | 
| 0.0022033806875331988662 - 2.5698248438650715623e-160j | 1.64e-27, 8.23e-58j | 
| 4.8371849225906277786e-05 + 3.6491468589531360827e-161j | 1.87e-28, 9.63e-59j | 
| 0.146967048045329988 - 8.5924476424914653406e-159j | 1.74e-26, 9.2e-57j | 
| 0.029116687912364151216 + 1.2673221587409925938e-159j | 6.06e-27, 2.94e-57j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.