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) | 
|---|---|
| 5.8122259495159138328 + 6.3163925493047145986e-472j | 1.98e-120, 1.98e-120j | 
| 5.2755509865158801278 - 9.7257703081158006946e-479j | 3.57e-120, 3.57e-120j | 
| -7.1258139098307275728 + 2.9638226502804860906e-484j | 5.94e-122, 5.94e-122j | 
| -5.8122259495159138328 + 1.5996937831155812104e-481j | 1.81e-120, 1.81e-120j | 
| 6.4094981492696604122 - 9.1042205696584516248e-483j | 4.94e-121, 4.94e-121j | 
| -5.2755509865158801278 + 3.487725169779878282e-483j | 3.51e-120, 3.51e-120j | 
| 7.1258139098307275728 - 4.4076173870077237025e-486j | 6.4e-122, 6.4e-122j | 
| -1.7676541094632016046 - 2.5195193263192612353e-488j | 6.49e-123, 6.49e-123j | 
| -6.4094981492696604122 + 5.3033906240424929304e-487j | 5.88e-121, 5.88e-121j | 
| 3.8537554854714446439 - 1.5153717632241738479e-485j | 3.14e-120, 3.14e-120j | 
| 0.58497876543593244847 - 5.7769878496297274947e-493j | 8.63e-126, 8.63e-126j | 
| 2.577249537732317454 + 2.356202101708400556e-487j | 1.46e-121, 1.46e-121j | 
| 4.777164503502596393 - 3.8962877354106767621e-488j | 4.24e-120, 4.24e-120j | 
| -2.1694991836061121733 - 2.1514583287895282596e-493j | 4.21e-122, 4.21e-122j | 
| 3.4171674928185707359 - 2.9428965532888947371e-490j | 1.55e-120, 1.55e-120j | 
| 1.3703764109528718382 + 1.695154957477655237e-497j | 7.21e-124, 7.21e-124j | 
| 0.97650046358968283848 + 2.1571162120304303067e-500j | 9.24e-125, 9.24e-125j | 
| -4.777164503502596393 + 3.00106457093224021e-494j | 5.01e-120, 5.01e-120j | 
| -1.3703764109528718382 - 3.241210888040960333e-508j | 7.71e-124, 7.71e-124j | 
| -4.3055479533511984453 + 1.0243032434171109956e-503j | 5.16e-120, 5.16e-120j | 
| -3.8537554854714446439 - 4.9068802102785695562e-515j | 3.27e-120, 3.27e-120j | 
| 1.7676541094632016046 + 2.2749748652420743767e-520j | 5.95e-123, 5.95e-123j | 
| 0.19484074156939932671 + 1.1326354915916420872e-524j | 6.23e-127, 6.23e-127j | 
| -2.9924908250023742063 - 4.3166572473842362436e-519j | 6.15e-121, 6.15e-121j | 
| -0.19484074156939932671 + 7.104719378953524751e-527j | 6.23e-127, 6.23e-127j | 
| -0.97650046358968283848 - 6.4456415644009207539e-525j | 9.21e-125, 9.21e-125j | 
| 2.1694991836061121733 - 2.8433807249823073462e-520j | 3.67e-122, 3.67e-122j | 
| 4.3055479533511984453 + 1.3946469354868076041e-524j | 4.22e-120, 4.22e-120j | 
| -3.4171674928185707359 - 9.3625251720074606451e-531j | 1.49e-120, 1.49e-120j | 
| -0.58497876543593244847 - 9.8793396077161421504e-539j | 8.63e-126, 8.63e-126j | 
| -2.577249537732317454 - 1.6042358190673455712e-538j | 1.42e-121, 1.42e-121j | 
| 2.9924908250023742063 + 2.7083026249681806891e-538j | 5.72e-121, 5.72e-121j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 6.7552902236701187406e-16 - 2.4800201620659761029e-486j | 7.05e-39, 9.43e-98j | 
| 2.3780648557778086759e-13 + 1.4917470350629167413e-485j | 1.29e-37, 1.72e-96j | 
| 4.1246074890182693364e-23 + 8.1492052180474272057e-492j | 3.19e-43, 4.27e-102j | 
| 6.7552902236701187406e-16 + 3.6706414395090598314e-488j | 7.4e-41, 9.9e-100j | 
| 5.2084495919608612944e-19 - 1.9836895765246034418e-488j | 1.26e-41, 1.68e-100j | 
| 2.3780648557778086759e-13 - 7.2203758241963845201e-487j | 3.57e-40, 4.77e-99j | 
| 4.1246074890182693364e-23 + 8.0264621676449711209e-491j | 1.23e-43, 1.65e-102j | 
| 0.0099034617023205918768 - 2.1553790099996847103e-481j | 4.38e-30, 5.86e-89j | 
| 5.2084495919608612944e-19 - 9.6942493437739312435e-490j | 2.69e-42, 3.6e-101j | 
| 8.8812907131058950894e-08 - 2.4981232592697290004e-483j | 7.29e-38, 9.75e-97j | 
| 0.15653899375759844489 - 1.2425982800587305439e-480j | 3.8e-31, 5.08e-90j | 
| 0.00030255702581706249216 + 8.8272438614813192207e-482j | 4.29e-35, 5.74e-94j | 
| 3.3475012398012070049e-11 - 9.1767302444277097102e-485j | 1.34e-39, 1.8e-98j | 
| 0.0020620510513078847176 + 9.3399682710836096334e-482j | 6.11e-35, 8.17e-94j | 
| 2.0596221039534288761e-06 + 9.8371748221327705931e-483j | 2.87e-37, 3.85e-96j | 
| 0.034109847726092050511 - 6.8260362801950514543e-481j | 4.99e-32, 6.68e-91j | 
| 0.08534480827208076015 + 9.9178935857421321834e-481j | 2.69e-31, 3.6e-90j | 
| 3.3475012398012070049e-11 + 8.9697812374000415208e-486j | 1.03e-41, 1.37e-100j | 
| 0.034109847726092050511 + 4.2213420309373163214e-481j | 1.63e-33, 2.19e-92j | 
| 2.312518412074240541e-09 - 7.8027927664880845581e-485j | 1.85e-41, 2.47e-100j | 
| 8.8812907131058950894e-08 + 5.0615616748533225024e-484j | 3.81e-41, 5.1e-100j | 
| 0.0099034617023205918768 + 4.0393689613379945019e-481j | 3.21e-37, 4.29e-96j | 
| 0.21170556988047931757 + 1.3446970169834497872e-480j | 3.15e-35, 4.2e-94j | 
| 3.0559803060896301541e-05 + 1.0307476167351427277e-482j | 3.38e-40, 4.53e-99j | 
| 0.21170556988047931757 - 1.2574658079103248861e-480j | 8.5e-36, 1.14e-94j | 
| 0.08534480827208076015 - 7.0646837902980961795e-481j | 2.29e-36, 3.06e-95j | 
| 0.0020620510513078847176 - 2.046518611961808104e-481j | 1.45e-38, 1.94e-97j | 
| 2.312518412074240541e-09 + 5.2398061685849571743e-484j | 2.31e-42, 3.09e-101j | 
| 2.0596221039534288761e-06 - 2.5527780812976860735e-483j | 3.35e-41, 4.49e-100j | 
| 0.15653899375759844489 + 1.0153447053764331498e-480j | 6.6e-38, 8.96e-97j | 
| 0.00030255702581706249216 - 3.4037783367067457483e-482j | 5.29e-40, 7.08e-99j | 
| 3.0559803060896301541e-05 - 3.2185453291192112741e-482j | 1.1e-40, 1.46e-99j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.