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) | 
|---|---|
| -5.2109072187547580143 - 1.0441677023680289441e-153j | 8.26e-62, 8.26e-62j | 
| 3.1015293948262462479 - 1.8493352795715844662e-159j | 1.78e-61, 1.78e-61j | 
| 2.5876317516494047402e-171 + 1.0350527006597618961e-171j | 3.07e-170, 3.07e-170j | 
| 5.2109072187547580143 + 0j | 8.26e-62, 8.26e-62j | 
| 2.2101003296710005571 - 9.4137494730581410849e-184j | 1.53e-61, 1.53e-61j | 
| 0.7071067811865475244 + 1.4364241749661470161e-188j | 6.27e-63, 6.27e-63j | 
| -3.1015293948262462479 + 2.2444127733846047127e-190j | 1.91e-61, 1.91e-61j | 
| -2.2101003296710005571 + 1.0520684875240334591e-190j | 1.62e-61, 1.62e-61j | 
| -0.7071067811865475244 - 5.1370531617384446244e-195j | 6.27e-63, 6.27e-63j | 
| -1.4341212004681264598 + 8.9306066761834205118e-203j | 4.96e-62, 4.96e-62j | 
| 1.4341212004681264598 - 2.3763644578689497794e-212j | 4.51e-62, 4.51e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.0089467298375307743e-10 - 4.5242970166190653494e-163j | 3.96e-29, 5.77e-60j | 
| 3.7562663476214825589e-05 + 3.4535846501765124187e-162j | 3.24e-27, 4.73e-58j | 
| 0.39720308273362935742 + 4.370874961519657663e-160j | 1.88e-25, 2.71e-56j | 
| 2.0089467298375307743e-10 - 1.987199438253295299e-164j | 1.39e-29, 2.02e-60j | 
| 0.0034823539991797408242 - 3.2065801456589644669e-161j | 3.03e-26, 4.41e-57j | 
| 0.24411771037392633414 - 3.0498151812054074869e-160j | 1.14e-25, 1.65e-56j | 
| 3.7562663476214825589e-05 + 1.2815858637023500258e-161j | 2.79e-28, 4.08e-59j | 
| 0.0034823539991797408242 - 7.7749426331942391057e-161j | 1.78e-27, 2.6e-58j | 
| 0.24411771037392633414 - 3.994268801086191348e-160j | 2.55e-26, 3.72e-57j | 
| 0.05376083139570835851 + 2.297189631376594036e-160j | 8.83e-27, 1.3e-57j | 
| 0.05376083139570835851 + 1.3162002513691117613e-160j | 6.68e-27, 8.44e-58j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.