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) | 
|---|---|
| 4.2186094443865613814 + 4.8219629780488768554e-425j | 8.13e-122, 8.13e-122j | 
| 5.4136363552800338097 - 1.1689484311751343879e-427j | 2.46e-122, 2.46e-122j | 
| 6.1642724340524517709 + 1.0522846963989694827e-430j | 5.12e-123, 5.12e-123j | 
| -5.4136363552800338097 + 4.2186782141184460729e-428j | 2.84e-122, 2.84e-122j | 
| -4.2186094443865613814 - 1.0683312117626664389e-436j | 8.58e-122, 8.58e-122j | 
| 4.7853203673522240573 + 2.3645507467650896026e-438j | 5.63e-122, 5.63e-122j | 
| 3.6902828769983559016 + 1.2372643346745266575e-442j | 7.56e-122, 7.56e-122j | 
| -6.1642724340524517709 - 1.7533340679483165826e-446j | 5.03e-123, 5.03e-123j | 
| -3.1882949244251047122 - 5.3513077876283873649e-452j | 3.76e-122, 3.76e-122j | 
| 2.2364201302672808702 + 1.6136393591798151249e-460j | 5.89e-123, 5.89e-123j | 
| 0.88198275621382135637 - 1.9439583112407482749e-462j | 1.77e-125, 1.77e-125j | 
| 0.44014729864530830458 + 1.3610848169704853556e-464j | 2e-126, 2e-126j | 
| -0.88198275621382135637 + 5.0977247753295320539e-462j | 2.14e-125, 2.14e-125j | 
| -2.7053202371730259933 - 4.9925063098030674095e-459j | 1.98e-122, 1.98e-122j | 
| -1.7780011243371474582 - 1.99224833442144996e-463j | 1.18e-123, 1.18e-123j | 
| 1.3272807020730839518 - 2.2028603832799933771e-466j | 2.17e-124, 2.17e-124j | 
| 1.7780011243371474582 + 6.3029305623080906145e-466j | 1.14e-123, 1.14e-123j | 
| -2.2364201302672808702 + 2.4828719312363923556e-463j | 5.79e-123, 5.79e-123j | 
| -0.44014729864530830458 + 1.6792906909336733337e-470j | 2e-126, 2e-126j | 
| 1.1670021311309361412e-471 - 8.9286841574281065203e-472j | 3.67e-470, 3.67e-470j | 
| 3.1882949244251047122 + 3.7112311953427063994e-465j | 4.5e-122, 4.5e-122j | 
| 2.7053202371730259933 + 5.2842807381246473368e-468j | 1.83e-122, 1.83e-122j | 
| -4.7853203673522240573 + 2.7231484384654692942e-475j | 5.69e-122, 5.69e-122j | 
| -3.6902828769983559016 + 8.5452475966048241079e-487j | 6.83e-122, 6.83e-122j | 
| -1.3272807020730839518 - 2.0132548103221728012e-492j | 1.9e-124, 1.9e-124j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 5.7380238688993723938e-09 - 1.1672255220703472921e-432j | 9.34e-42, 6.13e-103j | 
| 7.1021030370039778832e-14 + 8.146010312440045955e-436j | 1.31e-44, 8.62e-106j | 
| 1.5300389979986994021e-17 - 7.3430976497563867959e-438j | 3.5e-46, 2.29e-107j | 
| 7.1021030370039778832e-14 - 1.0104107730523702089e-436j | 3.88e-47, 2.54e-108j | 
| 5.7380238688993723938e-09 - 3.2792477061929327452e-434j | 6.57e-45, 4.31e-106j | 
| 3.7911500004771696417e-11 - 3.9685546252850209073e-434j | 4.32e-44, 2.83e-105j | 
| 3.5301525602455047833e-07 + 4.1076943517903641259e-432j | 1.45e-42, 9.52e-104j | 
| 1.5300389979986994021e-17 + 1.3761112707126248534e-438j | 6.02e-49, 3.95e-110j | 
| 1.0672194905202563544e-05 - 1.6109703404095265503e-432j | 8.49e-44, 5.57e-105j | 
| 0.0017578504052637938903 - 7.7258845812723541887e-431j | 1.76e-41, 1.16e-102j | 
| 0.11488092430395157108 + 3.7103762596547874647e-430j | 8.43e-39, 5.53e-100j | 
| 0.20485102565034048053 - 4.3752751081627028708e-430j | 5.8e-39, 3.8e-100j | 
| 0.11488092430395157108 + 2.4271907002596696464e-430j | 7.64e-40, 5.01e-101j | 
| 0.0001777669069265263699 + 7.0334965687770858999e-432j | 5.37e-43, 3.52e-104j | 
| 0.010856755991462304614 + 6.3466411927265191532e-431j | 3.7e-41, 2.43e-102j | 
| 0.043379970167645001027 - 2.6311705751995145017e-430j | 7.61e-40, 5e-101j | 
| 0.010856755991462304614 + 1.5593875329468135627e-430j | 3.64e-41, 2.39e-102j | 
| 0.0017578504052637938903 - 2.3724219085283138697e-431j | 7.75e-43, 5.08e-104j | 
| 0.20485102565034048053 - 3.5485414608604287656e-430j | 4.76e-40, 3.12e-101j | 
| 0.24816935117648538028 + 4.3132623138876151397e-430j | 5.5e-40, 3.61e-101j | 
| 1.0672194905202563544e-05 - 1.1581377707101561256e-431j | 2.97e-44, 1.95e-105j | 
| 0.0001777669069265263699 + 3.2181497656400419971e-431j | 1.46e-43, 9.57e-105j | 
| 3.7911500004771696417e-11 + 2.497675440533328646e-435j | 1.82e-48, 1.2e-109j | 
| 3.5301525602455047833e-07 + 2.7439536353437490515e-433j | 1.79e-46, 1.18e-107j | 
| 0.043379970167645001027 - 1.3717455089789660181e-430j | 1.37e-43, 8.84e-105j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.