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) | 
|---|---|
| 5.9066563258249905601 + 4.4140547930380314086e-347j | 6.42e-121, 6.42e-121j | 
| 6.6337314939504331208 + 7.1897681391423871439e-360j | 6.57e-121, 6.57e-121j | 
| 7.4151252861760672555 + 5.3683966932082513901e-366j | 4.05e-121, 4.05e-121j | 
| -8.2830695408614169798 + 7.8201266806718317301e-369j | 1.22e-121, 1.22e-121j | 
| 8.2830695408614169798 - 2.37926231816401208e-368j | 1.46e-121, 1.46e-121j | 
| -2.0725826741446197822 - 1.6179686280805744389e-371j | 8.12e-124, 8.12e-124j | 
| -9.3219378144087662513 + 1.4989896659177017542e-370j | 2.23e-122, 2.23e-122j | 
| 3.2891069701718307507 - 5.5125528186443127944e-368j | 3.23e-122, 3.23e-122j | 
| -6.6337314939504331208 - 6.7808236575789647181e-368j | 6.06e-121, 6.06e-121j | 
| 9.3219378144087662513 + 3.7690976998155311914e-370j | 2.7e-122, 2.7e-122j | 
| 1.4757817369579218407 + 1.1286536156477696182e-371j | 1.06e-124, 1.06e-124j | 
| -5.9066563258249905601 + 7.5475922286516062455e-368j | 5.9e-121, 5.9e-121j | 
| -3.2891069701718307507 - 1.2401278906370365779e-369j | 2.54e-122, 2.54e-122j | 
| -4.5553403845969737293 - 1.9437491368414364651e-368j | 2.7e-121, 2.7e-121j | 
| -7.4151252861760672555 + 4.9257554439673826151e-369j | 4.57e-121, 4.57e-121j | 
| 2.0725826741446197822 + 2.7784963247406230741e-370j | 8.4e-124, 8.4e-124j | 
| -5.2172236734474468719 + 3.6038608792224095595e-368j | 5.62e-121, 5.62e-121j | 
| -3.9142537259636312564 + 6.6035568886472884785e-369j | 9.4e-122, 9.4e-122j | 
| -0.8836525629929803054 + 2.5313208656791709245e-372j | 7.51e-126, 7.51e-126j | 
| 3.9142537259636312564 + 4.12087134832349628e-368j | 1.02e-121, 1.02e-121j | 
| 5.2172236734474468719 + 1.0103792753560578142e-374j | 5.72e-121, 5.72e-121j | 
| -2.6762018795269430609 + 8.5511702358731383513e-384j | 6.37e-123, 6.37e-123j | 
| 2.6762018795269430609 - 4.4699981350618450563e-385j | 5.53e-123, 5.53e-123j | 
| -0.29425171448871304241 + 7.6726339744356057777e-391j | 8.18e-127, 8.18e-127j | 
| -1.4757817369579218407 - 7.3257122656609035373e-390j | 1.04e-124, 1.04e-124j | 
| 0.29425171448871304241 + 3.1891384319655372315e-390j | 8.18e-127, 8.18e-127j | 
| 0.8836525629929803054 + 2.4865257785482140457e-390j | 7.51e-126, 7.51e-126j | 
| 4.5553403845969737293 + 7.8105924176465590948e-413j | 2.53e-121, 2.53e-121j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 7.479362584613639141e-09 - 9.7502110006150690506e-355j | 3.38e-32, 7.63e-93j | 
| 8.3266098438822581896e-11 - 4.7909849767879799381e-356j | 9.83e-34, 2.22e-94j | 
| 3.7459010351765662117e-13 + 1.5488586486167393057e-357j | 2.02e-35, 4.55e-96j | 
| 4.6917655695003629924e-16 - 5.8272568386868073837e-360j | 1.79e-39, 4.05e-100j | 
| 4.6917655695003629924e-16 - 3.4794949200142072985e-359j | 1.87e-37, 4.23e-98j | 
| 0.027935784767880889556 + 7.9962981352852451584e-353j | 4.61e-26, 1.04e-86j | 
| 6.4325474388018547484e-20 + 6.3577244335503382634e-362j | 5.51e-41, 1.24e-101j | 
| 0.0011043059278575986049 - 4.8464064725364605547e-353j | 1e-30, 2.27e-91j | 
| 8.3266098438822581896e-11 - 2.7777499847263661125e-357j | 7.6e-38, 1.72e-98j | 
| 6.4325474388018547484e-20 + 2.8348821430274968712e-361j | 2.59e-40, 5.85e-101j | 
| 0.079773366011599607645 + 2.4333776471497839142e-352j | 2.93e-26, 6.62e-87j | 
| 7.479362584613639141e-09 + 2.7946704907426169363e-356j | 3.91e-37, 8.84e-98j | 
| 0.0011043059278575986049 + 1.379516602492751801e-353j | 1.26e-33, 2.84e-94j | 
| 8.0935840571451523159e-06 + 1.0380681715508634354e-354j | 5.08e-36, 1.15e-96j | 
| 3.7459010351765662117e-13 + 1.7538233724721415834e-358j | 1e-39, 2.26e-100j | 
| 0.027935784767880889556 - 1.6641405390970685027e-352j | 4.44e-33, 1e-93j | 
| 3.3048644499265095148e-07 - 1.9728340007973010532e-355j | 5.54e-37, 1.25e-97j | 
| 0.00011882853814017847919 - 4.2371970122258415496e-354j | 1.14e-35, 2.58e-96j | 
| 0.15941819366130915381 + 2.2446540948100451405e-352j | 6.11e-33, 1.38e-93j | 
| 0.00011882853814017847919 + 2.0885904651837566127e-353j | 1.28e-37, 2.89e-98j | 
| 3.3048644499265095148e-07 + 3.1831345103359230078e-354j | 2.44e-39, 5.44e-100j | 
| 0.0067524597090301438858 - 3.6548459521152276649e-353j | 3.44e-36, 7.4e-97j | 
| 0.0067524597090301438858 + 9.7104061025708011708e-353j | 1.2e-36, 2.58e-97j | 
| 0.22488862975067654782 - 2.9194327256589309404e-352j | 4.95e-35, 1.03e-95j | 
| 0.079773366011599607645 - 1.4604919255914059401e-352j | 8.96e-36, 1.89e-96j | 
| 0.22488862975067654782 + 3.2255575132854113262e-352j | 1.5e-35, 3.08e-96j | 
| 0.15941819366130915381 - 3.0344183225769295103e-352j | 5.84e-36, 1.13e-96j | 
| 8.0935840571451523159e-06 - 8.0368072814190256136e-354j | 6.99e-39, 1.61e-99j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.