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) | 
|---|---|
| -2.8612795760570581173 - 5.635362925894614124e-132j | 4.78e-62, 4.78e-62j | 
| 2.8612795760570581173 + 6.7178761075670887518e-139j | 4.78e-62, 4.78e-62j | 
| -1.7320508075688772935 + 0j | 2.04e-62, 2.04e-62j | 
| 0.74109534999454084186 - 1.2219745453998418728e-150j | 4.19e-63, 4.19e-63j | 
| 1.7320508075688772935 + 1.1653657392500323036e-155j | 2.48e-62, 2.48e-62j | 
| -4.1849560176727318607 + 4.5522099189454386861e-159j | 3.68e-62, 3.68e-62j | 
| 4.1849560176727318607 - 4.4455174989701549669e-162j | 3.68e-62, 3.68e-62j | 
| -0.74109534999454084186 + 2.2641777826932291477e-172j | 4.19e-63, 4.19e-63j | 
| -1.0342254059756258516e-186 - 3.6772458879133363613e-185j | 3.31e-184, 3.31e-184j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0079963254708935327699 - 7.9454024931011369039e-134j | 2.16e-29, 7.13e-60j | 
| 0.0079963254708935327699 - 7.8744927062107114958e-135j | 7.43e-30, 2.44e-60j | 
| 0.094850948509485094851 + 2.1809440482490956433e-133j | 2.31e-28, 7.65e-59j | 
| 0.27007432957793787076 - 2.1696822442030668616e-133j | 3.77e-28, 1.18e-58j | 
| 0.094850948509485094851 + 5.3616563105581855577e-134j | 7.93e-29, 2.62e-59j | 
| 9.4269457556517489445e-05 - 2.5604369206817345803e-135j | 2.13e-31, 7.16e-62j | 
| 9.4269457556517489445e-05 + 4.8099271054119723917e-136j | 1.95e-31, 6.34e-62j | 
| 0.27007432957793787076 - 3.6864758180953963592e-133j | 1.52e-28, 4.07e-59j | 
| 0.25396825396825396825 + 4.0331280014671752004e-133j | 8.7e-29, 3.12e-59j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.