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) | 
|---|---|
| -0.7071067811865475244 - 7.4032738255960600097e-178j | 1.38e-62, 1.38e-62j | 
| 2.6822224032999497583 + 3.765499789223256434e-183j | 3.2e-62, 3.2e-62j | 
| 0.7071067811865475244 - 1.4364241749661470161e-188j | 1.38e-62, 1.38e-62j | 
| -1.7320508075688772935 + 0j | 5.13e-62, 5.13e-62j | 
| 1.7320508075688772935 + 5.4795233725210075994e-194j | 5.81e-62, 5.81e-62j | 
| 1.0672470719421885588 + 2.8577941363786945638e-201j | 3.4e-62, 3.4e-62j | 
| 2.2278416792521404182e-213 + 8.9113667170085616727e-213j | 8.27e-212, 8.27e-212j | 
| -1.0672470719421885588 - 6.3319068864647659273e-227j | 3.47e-62, 3.47e-62j | 
| -2.6822224032999497583 + 2.9485239118639221076e-236j | 3.2e-62, 3.2e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.19480519480519480519 + 1.2528819871481783293e-178j | 3.68e-28, 1.11e-58j | 
| 0.00045986431724352662175 + 1.8600805898564022925e-181j | 1.07e-30, 2.97e-61j | 
| 0.19480519480519480519 - 1.0197847071903122294e-178j | 1.66e-28, 5.03e-59j | 
| 0.023724792408066429419 + 1.2852500391007650287e-179j | 1.16e-29, 3.15e-60j | 
| 0.023724792408066429419 - 5.400631874375392861e-180j | 1.35e-29, 3.86e-60j | 
| 0.068580769938421792437 + 5.2989627333764078527e-179j | 8.38e-29, 2.58e-59j | 
| 0.42485875706214689266 + 1.7745428252545759586e-178j | 1.97e-29, 7.29e-60j | 
| 0.068580769938421792437 - 2.610723109042967674e-178j | 7.21e-29, 2.02e-59j | 
| 0.00045986431724352662175 - 3.1920352632941463421e-181j | 2.24e-31, 5.68e-62j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.