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) | 
|---|---|
| 4.9869064106798010371 + 5.9999119740811854863e-372j | 2.63e-121, 2.63e-121j | 
| 1.8060452131386712366 - 1.7248018899664675513e-376j | 2.84e-124, 2.84e-124j | 
| 8.0783492745341676988 + 4.0440317658619393776e-373j | 1.28e-121, 1.28e-121j | 
| -4.9869064106798010371 + 2.0068311784417321894e-372j | 2.14e-121, 2.14e-121j | 
| 5.6827607616290614623 + 3.8272347719963622902e-379j | 3.39e-121, 3.39e-121j | 
| -8.0783492745341676988 + 2.7371123742143650106e-378j | 1.23e-121, 1.23e-121j | 
| -9.1244212506729358783 - 7.3174957883606541217e-382j | 1.79e-122, 1.79e-122j | 
| 9.1244212506729358783 - 2.7633562601133300713e-382j | 1.67e-122, 1.67e-122j | 
| -7.2038766119106394825 + 1.0172241519240010152e-379j | 2.78e-121, 2.78e-121j | 
| -4.3184176719366875248 + 2.9964700876034872758e-387j | 1.24e-121, 1.24e-121j | 
| 2.4176839831625435769 + 3.0250420784605764983e-394j | 2.34e-123, 2.34e-123j | 
| -1.8060452131386712366 - 2.7306646536952391089e-394j | 2.66e-124, 2.66e-124j | 
| -6.4161549345621731946 - 8.1527887865785652316e-392j | 3.89e-121, 3.89e-121j | 
| 7.2038766119106394825 + 1.3775794210368581315e-396j | 3.21e-121, 3.21e-121j | 
| 4.3184176719366875248 - 2.0414401527723633264e-397j | 1.18e-121, 1.18e-121j | 
| 3.0381502518710366553 + 4.968245067494581859e-398j | 1.23e-122, 1.23e-122j | 
| -3.0381502518710366553 - 2.1504844341623672929e-397j | 1.19e-122, 1.19e-122j | 
| 1.2006833545499806979 - 1.0790062460709986926e-411j | 3.33e-125, 3.33e-125j | 
| -0.59935488078998477575 + 4.9330989244365847954e-409j | 1.93e-126, 1.93e-126j | 
| -3.6704729864924044791 - 8.3949657077004646806e-412j | 4e-122, 4e-122j | 
| 3.6704729864924044791 + 6.555939486266767469e-421j | 4.01e-122, 4.01e-122j | 
| -5.3787700191278544489e-428 + 6.1529359167495105961e-428j | 2.21e-426, 2.21e-426j | 
| -5.6827607616290614623 + 3.8560193578929099228e-425j | 4.04e-121, 4.04e-121j | 
| -2.4176839831625435769 + 2.701172648332319299e-435j | 2.46e-123, 2.46e-123j | 
| -1.2006833545499806979 + 6.5781287476033461135e-438j | 2.98e-125, 2.98e-125j | 
| 6.4161549345621731946 + 5.9348808197111226786e-435j | 3.89e-121, 3.89e-121j | 
| 0.59935488078998477575 - 5.1175187123642628467e-442j | 1.93e-126, 1.93e-126j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.0805815336838314678e-06 - 1.5936339140929686969e-377j | 1.02e-34, 1.31e-94j | 
| 0.047489575562742793953 + 3.6776888570763634465e-376j | 4.4e-24, 5.64e-84j | 
| 2.5223632508734059723e-15 + 1.0964085393474587274e-382j | 1.38e-40, 1.76e-100j | 
| 1.0805815336838314678e-06 + 4.7513696067822540983e-378j | 1.32e-36, 1.69e-96j | 
| 2.7619339184479042377e-08 - 1.5236768782243087589e-378j | 1.51e-36, 1.94e-96j | 
| 2.5223632508734059723e-15 - 5.8056926092779032641e-383j | 3.47e-42, 4.45e-102j | 
| 4.0033647665501902082e-19 + 6.0084490334421482383e-385j | 8.82e-44, 1.13e-103j | 
| 4.0033647665501902082e-19 - 1.0505757167024928887e-384j | 8.4e-44, 1.08e-103j | 
| 1.7682365112196694161e-12 + 1.9371343773055081218e-381j | 2.33e-41, 2.99e-101j | 
| 2.3395576715668111184e-05 - 1.1822616524150639927e-377j | 6.74e-38, 8.64e-98j | 
| 0.01321102584046355634 - 2.3957794524393085598e-376j | 5.24e-34, 6.72e-94j | 
| 0.047489575562742793953 + 5.9432652732657531132e-377j | 4.38e-33, 5.62e-93j | 
| 3.4726047028458830923e-10 - 3.7477106895787759186e-380j | 1.06e-40, 1.37e-100j | 
| 1.7682365112196694161e-12 - 3.9777471068899400704e-381j | 1.96e-42, 2.51e-102j | 
| 2.3395576715668111184e-05 + 4.3971334229355625894e-377j | 1.14e-38, 1.45e-98j | 
| 0.0024718724459619764701 + 1.4468087430996749859e-376j | 6.78e-37, 8.65e-97j | 
| 0.0024718724459619764701 - 1.4196492886760312767e-377j | 2.83e-38, 3.6e-98j | 
| 0.11699626517501002799 - 4.6936643261350481778e-376j | 4.5e-35, 5.75e-95j | 
| 0.2000149701605134941 + 2.9367311526493523425e-376j | 4.53e-35, 5.76e-95j | 
| 0.00030283982593616503115 + 1.4920542427619551609e-377j | 5.44e-39, 6.93e-99j | 
| 0.00030283982593616503115 - 7.7904123868975160727e-377j | 8.6e-39, 1.11e-98j | 
| 0.23897789372550444027 - 4.1707217599121746872e-376j | 8.98e-36, 1.13e-95j | 
| 2.7619339184479042377e-08 + 5.9620911848266493438e-379j | 2.29e-41, 2.88e-101j | 
| 0.01321102584046355634 - 4.5109165570557622275e-378j | 2.55e-38, 3.21e-98j | 
| 0.11699626517501002799 - 1.6059345338393432527e-376j | 1.99e-37, 2.43e-97j | 
| 3.4726047028458830923e-10 + 8.4880141169463844284e-380j | 5.28e-43, 7.72e-103j | 
| 0.2000149701605134941 + 4.8266377613550551371e-376j | 2.01e-37, 2.09e-97j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.