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) | 
|---|---|
| -4.4763619773108684158 + 1.1621746547958603415e-309j | 1.72e-122, 1.72e-122j | 
| -0.33117931571527377789 - 1.9377254629893689463e-320j | 6.45e-127, 6.45e-127j | 
| -8.0740299840217109612 + 5.3375600760415754397e-331j | 2.61e-123, 2.61e-123j | 
| -6.9859804240188138349 - 1.4208068592806597519e-347j | 1.06e-122, 1.06e-122j | 
| 6.0730749511228975445 - 1.6317352569468696944e-357j | 1.93e-122, 1.93e-122j | 
| -6.0730749511228975445 - 2.6550156270794127712e-363j | 2.12e-122, 2.12e-122j | 
| 6.9859804240188138349 - 4.8781110382533266055e-368j | 1.32e-122, 1.32e-122j | 
| -5.2477244337144249688 + 2.3410200235553906267e-369j | 2.59e-122, 2.59e-122j | 
| -3.7414963502665176946 - 1.2287037314093833891e-372j | 8.04e-123, 8.04e-123j | 
| 2.3417599962877077336 - 3.4365065693198719729e-376j | 4.57e-124, 4.57e-124j | 
| 5.2477244337144249688 - 2.2924822677295851805e-382j | 2.42e-122, 2.42e-122j | 
| 4.4763619773108684158 + 1.960506207399064698e-387j | 2.06e-122, 2.06e-122j | 
| -1.6641248391179069719 + 5.8861258713438001989e-391j | 7.78e-125, 7.78e-125j | 
| 8.0740299840217109612 - 4.7561471923634184885e-390j | 2.22e-123, 2.22e-123j | 
| 3.7414963502665176946 - 1.4836115376540013271e-390j | 9.72e-123, 9.72e-123j | 
| 1.6641248391179069719 + 4.2895433103913563703e-392j | 6.15e-125, 6.15e-125j | 
| 3.0324042278316759091 - 9.2882314601016488393e-392j | 2.31e-123, 2.31e-123j | 
| -3.0324042278316759091 - 3.2940560753852788815e-393j | 2.26e-123, 2.26e-123j | 
| -0.99516242227121542187 - 2.0619476246209603062e-398j | 8.19e-126, 8.19e-126j | 
| -2.3417599962877077336 + 8.1190687778346909688e-401j | 4.43e-124, 4.43e-124j | 
| 0.99516242227121542187 - 5.1955164908199283047e-402j | 8.38e-126, 8.38e-126j | 
| 0.33117931571527377789 - 3.6183061275353072122e-403j | 6.45e-127, 6.45e-127j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.3345977126809514312e-05 + 3.4714984741355102956e-314j | 4.8e-37, 8.21e-99j | 
| 0.25024359658693495123 + 5.1237083503598883328e-313j | 5.36e-37, 9.18e-99j | 
| 3.4794606478771458294e-15 - 6.9611576276535650736e-320j | 8.41e-43, 1.44e-104j | 
| 9.8413789823460859326e-12 + 5.3072172762588932893e-318j | 1.64e-41, 2.8e-103j | 
| 3.3665141594582111065e-09 - 2.3351109970909653911e-317j | 7.07e-43, 1.21e-104j | 
| 3.3665141594582111065e-09 - 1.5428011587390568928e-316j | 1.12e-40, 1.91e-102j | 
| 9.8413789823460859326e-12 + 1.1619867802477520365e-318j | 2.34e-44, 4e-106j | 
| 3.3198537498140360617e-07 + 3.1713747694459222064e-315j | 7.76e-40, 1.33e-101j | 
| 0.00026228330325596376424 - 9.3567273939822291627e-314j | 1.82e-38, 3.11e-100j | 
| 0.017569072880805766098 + 8.2538437156492480051e-314j | 2.71e-38, 4.65e-100j | 
| 3.3198537498140360617e-07 + 2.5156907498310245226e-316j | 6.39e-43, 1.09e-104j | 
| 1.3345977126809514312e-05 - 1.7324734207080491641e-315j | 2.33e-42, 3.99e-104j | 
| 0.067196311428890026671 + 3.9135182914776873937e-313j | 1.27e-38, 2.17e-100j | 
| 3.4794606478771458294e-15 - 1.9954702693773228468e-320j | 4e-47, 6.85e-109j | 
| 0.00026228330325596376424 + 8.3670672264187150015e-315j | 4.87e-42, 8.34e-104j | 
| 0.067196311428890026671 - 1.7923239115998575985e-313j | 2.33e-40, 3.98e-102j | 
| 0.0028087610475772157675 - 2.9966457137599914108e-314j | 1.42e-41, 2.44e-103j | 
| 0.0028087610475772157675 + 1.5582943624580514581e-313j | 1.43e-42, 2.44e-104j | 
| 0.16190629341367526765 - 4.9073783104468183042e-313j | 3.05e-41, 5.25e-103j | 
| 0.017569072880805766098 - 2.636356293527255895e-313j | 3.05e-42, 5.21e-104j | 
| 0.16190629341367526765 + 3.1222675031203543429e-313j | 5.81e-42, 1.01e-103j | 
| 0.25024359658693495123 - 4.4177897606670276174e-313j | 9.9e-42, 1.64e-103j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.