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) | 
|---|---|
| -3.1909932017815276072 - 1.0748601772107342003e-137j | 2.61e-62, 2.61e-62j | 
| 1.4685532892166679317 - 1.0496681418073576175e-140j | 2.56e-62, 2.56e-62j | 
| -1.4685532892166679317 + 6.4066659045859229582e-144j | 2.56e-62, 2.56e-62j | 
| 0.72355101875283757332 - 7.3318472723990512369e-150j | 5.47e-63, 5.47e-63j | 
| 3.4730605460704335679e-163 - 1.7365302730352167839e-163j | 3.49e-162, 3.49e-162j | 
| 2.2665805845318431118 - 5.9226190604768480078e-177j | 5.27e-62, 5.27e-62j | 
| 3.1909932017815276072 + 7.3544917758266727226e-186j | 3.61e-62, 3.61e-62j | 
| -0.72355101875283757332 + 3.1421778827384465978e-189j | 5.47e-63, 5.47e-63j | 
| -2.2665805845318431118 + 1.3698808431302518998e-194j | 4.25e-62, 4.25e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.2345844007746583648e-05 - 7.6405848143461031459e-142j | 3.22e-30, 6.89e-61j | 
| 0.049916406765217874043 - 1.6667194215527953886e-141j | 5.53e-28, 1.19e-58j | 
| 0.049916406765217874043 - 6.4117834394973671916e-141j | 2.98e-28, 6.37e-59j | 
| 0.24409750289493943614 + 4.8572823421305455951e-141j | 1.58e-27, 3.34e-58j | 
| 0.40634920634920634921 - 9.1316020175651249144e-141j | 1.34e-27, 2.83e-58j | 
| 0.0027891413212317686288 + 6.4686348377431000203e-142j | 1.02e-29, 2.18e-60j | 
| 2.2345844007746583648e-05 - 4.4069806299970168965e-143j | 5.29e-31, 1.13e-61j | 
| 0.24409750289493943614 + 9.6443341021657364323e-141j | 1.06e-28, 2.09e-59j | 
| 0.0027891413212317686288 + 2.8697532382792759487e-141j | 4.75e-30, 9.97e-61j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.