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) | 
|---|---|
| -2.5462021578474813622 - 3.7710960078635946582e-340j | 3.96e-124, 3.96e-124j | 
| 1.3802585391988807964 + 2.9932728776980191402e-351j | 2.57e-125, 2.57e-125j | 
| 4.6887389393058183647 - 3.7861984496491516273e-369j | 1.36e-124, 1.36e-124j | 
| 2.5462021578474813622 - 9.4451038074974493537e-381j | 3.02e-124, 3.02e-124j | 
| -3.8694479048601226987 - 2.9536050336381161448e-395j | 4.04e-124, 4.04e-124j | 
| 3.8694479048601226987 - 2.6624453351773537574e-408j | 4.27e-124, 4.27e-124j | 
| -4.6887389393058183647 + 2.6823143302159907258e-409j | 1.43e-124, 1.43e-124j | 
| -0.82295144914465589258 + 8.2899907392536865696e-416j | 3.7e-126, 3.7e-126j | 
| -1.3802585391988807964 + 1.9774889776205347239e-430j | 2.58e-125, 2.58e-125j | 
| 3.1769991619799560268 + 6.398124107637282845e-441j | 5.05e-124, 5.05e-124j | 
| 0.82295144914465589258 + 9.34235656977352576e-447j | 4.23e-126, 4.23e-126j | 
| -3.1769991619799560268 + 6.2951426104919265375e-449j | 4.53e-124, 4.53e-124j | 
| -0.27348104613815245216 - 1.9576682040458948314e-456j | 2.65e-127, 2.65e-127j | 
| -1.9517879909162539774 - 1.6313901700382456928e-456j | 1.25e-124, 1.25e-124j | 
| 0.27348104613815245216 + 1.3807338678709110682e-459j | 2.65e-127, 2.65e-127j | 
| 1.9517879909162539774 + 1.0952936932629823377e-459j | 1.37e-124, 1.37e-124j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.00052598492657390924383 - 5.0504929542803995598e-343j | 7.82e-52, 2.28e-113j | 
| 0.047284752354014028806 + 4.7897576868466114513e-343j | 2.68e-48, 7.81e-110j | 
| 1.4978147231618397325e-10 - 1.4630133412545809256e-347j | 2.39e-56, 6.96e-118j | 
| 0.00052598492657390924383 + 3.8950946046014954383e-344j | 1.17e-52, 3.41e-114j | 
| 1.3094732162868227394e-07 + 2.3651682564627906546e-345j | 6.05e-56, 1.77e-117j | 
| 1.3094732162868227394e-07 + 4.8782255987954573851e-346j | 1.65e-55, 4.81e-117j | 
| 1.4978147231618397325e-10 - 4.9403190827188163553e-347j | 2.01e-57, 5.89e-119j | 
| 0.15833837275094961773 + 1.9970956299272144583e-342j | 1.16e-51, 3.36e-113j | 
| 0.047284752354014028806 - 1.6130106989778744946e-342j | 2.12e-52, 6.18e-114j | 
| 1.530003216248727197e-05 - 5.91100582717353952e-345j | 6.11e-55, 1.78e-116j | 
| 0.15833837275094961773 - 1.0214721142763954829e-342j | 1.58e-52, 4.55e-114j | 
| 1.530003216248727197e-05 - 5.363036939332907287e-344j | 2.94e-55, 8.58e-117j | 
| 0.28656852123801212258 - 2.0371468349570212549e-342j | 1.04e-52, 2.99e-114j | 
| 0.0072669376011847333662 + 1.2403401507844068934e-342j | 8.86e-54, 2.6e-115j | 
| 0.28656852123801212258 + 1.6419811319603165918e-342j | 5.97e-53, 1.69e-114j | 
| 0.0072669376011847333662 - 1.6391226603488284465e-343j | 5.42e-54, 1.54e-115j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.