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) | 
|---|---|
| -0.52403354748695764515 + 1.5800665924627617177e-187j | 3.72e-63, 3.72e-63j | 
| -2.9592107790638377223 - 2.412391248039291517e-194j | 2.48e-62, 2.48e-62j | 
| 2.9592107790638377223 - 6.8494042156512594992e-194j | 2.3e-62, 2.3e-62j | 
| 0.52403354748695764515 + 2.1918093490084030398e-193j | 2.09e-63, 2.09e-63j | 
| 2.0232301911005156592 - 2.0066613913040799314e-197j | 4.13e-62, 4.13e-62j | 
| 1.2247448713915890491 - 1.0451361413042082976e-198j | 1.25e-62, 1.25e-62j | 
| 7.7868710555449746371e-207 + 4.2827790805497360504e-207j | 8e-206, 8e-206j | 
| -2.0232301911005156592 + 8.6451635356532270794e-224j | 3.03e-62, 3.03e-62j | 
| -1.2247448713915890491 + 2.3995149022330095277e-240j | 1.25e-62, 1.25e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.27007432957793787076 + 6.8666530950514291761e-188j | 2.24e-28, 3.01e-59j | 
| 9.4269457556517489445e-05 + 7.5987031674012465149e-191j | 1.24e-30, 1.6e-61j | 
| 9.4269457556517489445e-05 - 5.3123468429793504988e-191j | 6.04e-31, 7.79e-62j | 
| 0.27007432957793787076 + 4.0716326710033880139e-188j | 1.14e-28, 1.51e-59j | 
| 0.0079963254708935327699 + 9.6585774054944672231e-190j | 8.43e-30, 1.08e-60j | 
| 0.094850948509485094851 - 7.6889473994622468722e-189j | 3.3e-29, 4.3e-60j | 
| 0.25396825396825396825 - 1.2023095412467286485e-187j | 3.58e-29, 5.69e-60j | 
| 0.0079963254708935327699 - 1.6410727798896205597e-189j | 3.8e-30, 4.96e-61j | 
| 0.094850948509485094851 + 1.91893953396828947e-188j | 2.69e-29, 3.18e-60j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.