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) | 
|---|---|
| 8.4118429356682070972 - 1.8184496243881647858e-359j | 4.69e-120, 4.69e-120j | 
| -5.662046690089216697 - 2.4237563219917480326e-361j | 6.52e-120, 6.52e-120j | 
| 6.2959531251593706904 - 2.1654683197659250532e-361j | 8.76e-120, 8.76e-120j | 
| 10.258495626138683123 + 3.9053284794398981481e-367j | 1.46e-121, 1.46e-121j | 
| -7.6578660347844077441 + 2.864458789968451423e-368j | 8.83e-120, 8.83e-120j | 
| -10.258495626138683123 - 9.9231721444290429182e-374j | 1.24e-121, 1.24e-121j | 
| -6.9579710610878953176 - 6.9839517514166338801e-372j | 1.14e-119, 1.14e-119j | 
| 9.25129785173460322 + 3.8317605509041214847e-378j | 1.3e-120, 1.3e-120j | 
| -9.25129785173460322 + 2.1458856488104193322e-385j | 1.02e-120, 1.02e-120j | 
| 7.6578660347844077441 + 2.3809101755389849886e-388j | 9.55e-120, 9.55e-120j | 
| 0.54295337666564178443 - 8.7744864588336229743e-402j | 2.98e-126, 2.98e-126j | 
| -4.4544851859833206729 - 1.0849083032660079061e-394j | 1.58e-120, 1.58e-120j | 
| -3.3018367432592415015 + 4.5720461782610002546e-398j | 1.26e-121, 1.26e-121j | 
| -2.739550282026146053 + 7.7483510973994945808e-400j | 2.25e-122, 2.25e-122j | 
| 5.0497634519088248071 - 5.663308295162549669e-401j | 3.92e-120, 3.92e-120j | 
| 2.1840382560773305316 - 1.7698893371428356435e-411j | 3.26e-123, 3.26e-123j | 
| 1.08710791666990294 - 6.6334451902266800914e-414j | 4.51e-125, 4.51e-125j | 
| 6.9579710610878953176 + 2.9010828314480455018e-407j | 1.13e-119, 1.13e-119j | 
| -1.08710791666990294 + 1.7098850188549955433e-418j | 3.75e-125, 3.75e-125j | 
| -3.872747224621656541 - 1.1857684476998305494e-413j | 5.6e-121, 5.6e-121j | 
| 1.6336997959322737156 + 7.8266026068277085145e-417j | 4.49e-124, 4.49e-124j | 
| -2.1840382560773305316 + 1.2230045781701844945e-416j | 3.62e-123, 3.62e-123j | 
| 2.739550282026146053 + 2.8664221641315475288e-415j | 2.01e-122, 2.01e-122j | 
| 3.872747224621656541 + 8.9806801998275423808e-413j | 5.28e-121, 5.28e-121j | 
| -1.6336997959322737156 + 1.1796131035540608543e-417j | 4.17e-124, 4.17e-124j | 
| -6.2959531251593706904 + 1.1105626879621635115e-412j | 9.72e-120, 9.72e-120j | 
| 5.662046690089216697 - 2.6950565596655783779e-415j | 7.48e-120, 7.48e-120j | 
| -8.4118429356682070972 - 1.2156829473052320433e-419j | 4.04e-120, 4.04e-120j | 
| 3.3018367432592415015 - 2.7291502544304137886e-420j | 1.4e-121, 1.4e-121j | 
| -0.54295337666564178443 - 1.2986422561435449898e-427j | 2.98e-126, 2.98e-126j | 
| -5.0497634519088248071 - 4.234214289793832769e-421j | 3.79e-120, 3.79e-120j | 
| -4.9245742873197207813e-435 + 5.0907737714313201042e-434j | 1.69e-432, 1.69e-432j | 
| 4.4544851859833206729 - 3.0261867584682869123e-423j | 1.73e-120, 1.73e-120j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.3584475998220762444e-16 + 7.4355700512102995339e-375j | 4.67e-38, 3.38e-97j | 
| 2.7124800309283070126e-08 - 1.8685042966051983725e-368j | 1.79e-33, 1.3e-92j | 
| 6.3692617245384664514e-10 + 5.1590235682450226067e-370j | 1.41e-34, 1.02e-93j | 
| 6.50688997040275675e-24 - 3.1705520524559493161e-378j | 4.27e-41, 3.1e-100j | 
| 5.3230238712251332273e-14 - 4.5272406929593998294e-372j | 2.54e-38, 1.84e-97j | 
| 6.50688997040275675e-24 + 2.1340050805911551964e-377j | 7.02e-43, 5.09e-102j | 
| 8.3160469105554274411e-12 + 8.7678923970396433932e-371j | 2.01e-37, 1.46e-96j | 
| 9.349155921250696923e-20 + 3.3020818497970380537e-376j | 3.23e-41, 2.34e-100j | 
| 9.349155921250696923e-20 - 3.2967810313231619795e-375j | 1.75e-41, 1.27e-100j | 
| 5.3230238712251332273e-14 - 2.9924148377761009218e-373j | 3.62e-39, 2.63e-98j | 
| 0.18705818522798610386 + 3.1816025556969803245e-366j | 1.22e-26, 8.86e-86j | 
| 1.1522829799483730523e-05 - 1.1388255814635113146e-367j | 2.48e-34, 1.8e-93j | 
| 0.00096953420642404635467 - 5.4379357358993492501e-367j | 3.22e-32, 2.33e-91j | 
| 0.0052276057658435239362 + 1.0299314462751219211e-366j | 6.41e-31, 4.65e-90j | 
| 6.9829370540107094689e-07 + 6.7260316838694917733e-369j | 1.11e-37, 8.04e-97j | 
| 0.020304044757041959937 - 9.0948890636871644243e-367j | 9.99e-32, 7.24e-91j | 
| 0.12045105210565650457 - 2.4068034093195027507e-366j | 1.16e-26, 8.43e-86j | 
| 8.3160469105554274411e-12 + 1.5104725441745724172e-371j | 1.37e-39, 9.93e-99j | 
| 0.12045105210565650457 - 3.2774104936281292921e-366j | 5.89e-28, 4.26e-87j | 
| 0.00012719246285659432081 + 2.5747202276366145453e-367j | 8.49e-35, 6.14e-94j | 
| 0.057586311735787181462 + 1.5867823000127243319e-366j | 1.35e-30, 9.77e-90j | 
| 0.020304044757041959937 - 1.7244148749361126672e-366j | 4.7e-32, 3.4e-91j | 
| 0.0052276057658435239362 + 4.5193199422038496337e-367j | 1.95e-34, 1.42e-93j | 
| 0.00012719246285659432081 + 7.2124952154878131987e-368j | 5.58e-37, 4.03e-96j | 
| 0.057586311735787181462 + 2.5382866549950344615e-366j | 2.74e-32, 1.95e-91j | 
| 6.3692617245384664514e-10 - 1.5786580596705720603e-369j | 3.9e-40, 2.77e-99j | 
| 2.7124800309283070126e-08 - 1.9877617488639304413e-369j | 1.99e-39, 1.46e-98j | 
| 1.3584475998220762444e-16 + 1.6501320752751124454e-373j | 1.24e-43, 8.84e-103j | 
| 0.00096953420642404635467 - 1.9420471563433941501e-367j | 3.8e-37, 2.74e-96j | 
| 0.18705818522798610386 + 3.7080037944197854557e-366j | 2.11e-35, 1.31e-94j | 
| 6.9829370540107094689e-07 + 5.4869588518150675207e-368j | 6.5e-39, 4.28e-98j | 
| 0.21652764968960661187 - 3.6728086443248995937e-366j | 1.07e-35, 4.79e-95j | 
| 1.1522829799483730523e-05 - 2.3286731042452646353e-368j | 1.85e-38, 1.4e-97j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.