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) | 
|---|---|
| 3.5207882629582430588 + 6.4491610632644052017e-137j | 9.06e-62, 9.06e-62j | 
| -3.5207882629582430588 - 6.8228429217478245135e-140j | 1.07e-61, 1.07e-61j | 
| 2.8029163332563412942e-145 - 4.0041661903662018489e-145j | 5.38e-144, 5.38e-144j | 
| -2.6414479718130762063 + 7.8206370905589879861e-149j | 1.92e-61, 1.92e-61j | 
| 2.6414479718130762063 + 9.1648090904988140462e-151j | 2.02e-61, 2.02e-61j | 
| 1.2247448713915890491 - 3.5800035509760992368e-153j | 3.71e-62, 3.71e-62j | 
| -1.2247448713915890491 + 5.9178728946290702919e-158j | 3.18e-62, 3.18e-62j | 
| -0.59841605318147530927 - 1.08533142064701049e-165j | 5.88e-63, 5.88e-63j | 
| 1.8979025739610826354 + 1.6172698447808779627e-173j | 9.68e-62, 9.68e-62j | 
| -1.8979025739610826354 + 7.0603121047936058137e-184j | 9.57e-62, 9.57e-62j | 
| 0.59841605318147530927 - 1.0959046745042015199e-193j | 5.88e-63, 5.88e-63j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.3417977747018329504e-06 - 5.67500695935951127e-142j | 1.55e-29, 9.77e-60j | 
| 2.3417977747018329504e-06 - 2.2048198266671197199e-143j | 7.11e-30, 4.48e-60j | 
| 0.33464052287581699346 + 3.9761596984368249906e-140j | 8.65e-27, 5.2e-57j | 
| 0.00041751146352803366757 + 4.1347533321722983464e-142j | 9.25e-29, 5.81e-59j | 
| 0.00041751146352803366757 + 2.8766532658031720199e-141j | 4.54e-29, 2.82e-59j | 
| 0.081442699243746364165 + 2.3729003243909757312e-140j | 2.86e-27, 1.84e-57j | 
| 0.081442699243746364165 + 1.1500144781560307396e-140j | 9.41e-28, 6.27e-58j | 
| 0.24000445687549162899 - 2.6915609424694704441e-140j | 3.2e-27, 1.89e-57j | 
| 0.010812729181550774617 - 9.893054370958199557e-141j | 1.52e-28, 8.93e-59j | 
| 0.010812729181550774617 - 2.9724824705591595952e-141j | 1.13e-28, 7.81e-59j | 
| 0.24000445687549162899 - 3.7910178448444030551e-140j | 1.25e-27, 5.99e-58j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.