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) | 
|---|---|
| -1.7199925751864889324 - 2.5463949491583267781e-313j | 4.21e-125, 4.21e-125j | 
| -4.4999907073093915537 + 7.1233989564874253742e-317j | 1.07e-124, 1.07e-124j | 
| 4.4999907073093915537 - 1.4378082271551901383e-324j | 1.09e-124, 1.09e-124j | 
| 2.3257324861738577455 - 3.1068688701148933264e-341j | 1.4e-124, 1.4e-124j | 
| -2.3257324861738577455 - 1.2414568925290534805e-357j | 1.47e-124, 1.47e-124j | 
| 1.1361155852109206663 - 8.9246106313158574071e-370j | 1.09e-125, 1.09e-125j | 
| 2.9671669279056032485 - 6.9515964023181227243e-378j | 3.14e-124, 3.14e-124j | 
| -3.6699503734044525347 - 7.4174195753865874238e-383j | 2.04e-124, 2.04e-124j | 
| -2.9671669279056032485 + 2.4020141112003197616e-386j | 3.58e-124, 3.58e-124j | 
| 3.6699503734044525347 - 1.8612255719664190352e-392j | 2.88e-124, 2.88e-124j | 
| 1.7199925751864889324 - 4.2970437142119707783e-404j | 4.62e-125, 4.62e-125j | 
| 0.56506958325557574853 - 9.6642791867930214002e-407j | 1.2e-126, 1.2e-126j | 
| -1.1361155852109206663 - 4.7685588092728724014e-409j | 8.78e-126, 8.78e-126j | 
| -0.56506958325557574853 + 1.3582320827193240076e-412j | 1.2e-126, 1.2e-126j | 
| 2.6332107332178398143e-438 - 4.0207515744166885543e-625j | 3.95e-437, 3.95e-437j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.017365774492137606347 - 7.605827786681435341e-315j | 3.87e-48, 3.25e-110j | 
| 8.5896498996332708739e-10 + 3.5376625826521792386e-319j | 3.54e-54, 2.97e-116j | 
| 8.5896498996332708739e-10 - 1.5811436860483627482e-319j | 8.21e-55, 6.89e-117j | 
| 0.0015673575035499562125 + 3.2836774811224106838e-316j | 1.99e-51, 1.67e-113j | 
| 0.0015673575035499562125 - 2.1931619095916030896e-315j | 3.09e-51, 2.59e-113j | 
| 0.089417795399844402168 + 3.513258923321384607e-315j | 5.4e-49, 4.54e-111j | 
| 5.6421464051890168054e-05 - 5.3775600487999387508e-317j | 6.83e-53, 5.73e-115j | 
| 5.9754195979206048959e-07 - 1.3302458033105778871e-317j | 3.77e-54, 3.17e-116j | 
| 5.6421464051890168054e-05 + 2.02100723860522972e-316j | 4.35e-53, 3.65e-115j | 
| 5.9754195979206048959e-07 + 4.8125234661222506384e-318j | 1.73e-54, 1.45e-116j | 
| 0.017365774492137606347 - 1.2854741227195673458e-315j | 5.45e-52, 4.56e-114j | 
| 0.23246229360973223332 - 7.0802904120021389276e-315j | 5.89e-52, 4.86e-114j | 
| 0.089417795399844402168 + 1.7185550827937032397e-314j | 1.05e-52, 9.84e-115j | 
| 0.23246229360973223332 - 1.4008642968369051515e-314j | 2.33e-52, 2e-114j | 
| 0.31825951825951825952 + 1.1006188859297937709e-314j | 2.37e-52, 1.87e-114j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.