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) | 
|---|---|
| 4.3314782938191503922 - 3.8232320002430398433e-342j | 8.8e-121, 8.8e-121j | 
| -4.3314782938191503922 - 1.0505716701535634906e-351j | 7.73e-121, 7.73e-121j | 
| 5.3896405219667516537 + 1.683976450386399906e-363j | 4.06e-121, 4.06e-121j | 
| 6.7286951986088499628 + 3.3560863057690080024e-366j | 2.32e-122, 2.32e-122j | 
| -5.3896405219667516537 - 1.4586108413283897134e-362j | 5.3e-121, 5.3e-121j | 
| -3.8482667922136200802 - 1.0061156295626360322e-373j | 7.79e-121, 7.79e-121j | 
| -4.8413636510591640675 + 2.1410347795535626073e-386j | 6.99e-121, 6.99e-121j | 
| -5.9989712894638202106 - 7.7303498635662952141e-390j | 1.62e-121, 1.62e-121j | 
| -6.7286951986088499628 + 3.6836610470561528706e-393j | 2.92e-122, 2.92e-122j | 
| 5.9989712894638202106 + 1.1343940563513777676e-392j | 1.37e-121, 1.37e-121j | 
| 2.0701810760534277408 + 3.2975733121487088866e-394j | 1.05e-122, 1.05e-122j | 
| 3.8482667922136200802 + 1.4107396350015901492e-391j | 7.64e-121, 7.64e-121j | 
| -0.40916463639492873678 + 1.108243512806331582e-398j | 1.91e-126, 1.91e-126j | 
| -1.2322157550847529038 + 1.9237858266607398341e-394j | 2.67e-124, 2.67e-124j | 
| 2.4985856910194042426 - 2.8290817444980476387e-393j | 5.25e-122, 5.25e-122j | 
| 1.6486229138923164114 - 2.3361720447884309513e-394j | 1.53e-123, 1.53e-123j | 
| 0.40916463639492873678 - 5.551364629101087235e-397j | 1.42e-126, 1.42e-126j | 
| 3.3846451410922140749 - 1.0013594911676301931e-392j | 4.34e-121, 4.34e-121j | 
| 5.7293916189492943711e-402 - 6.3374884112332308419e-402j | 2.48e-400, 2.48e-400j | 
| -2.4985856910194042426 - 4.3524603406937067734e-391j | 5.02e-122, 5.02e-122j | 
| 2.9358825042901264849 + 2.095250265511113633e-396j | 1.54e-121, 1.54e-121j | 
| 0.8194986812709115793 + 2.421898476069692118e-400j | 2.63e-125, 2.63e-125j | 
| 1.2322157550847529038 - 1.1237003696866896966e-399j | 2.09e-124, 2.09e-124j | 
| -2.0701810760534277408 + 3.3891634682398908536e-395j | 1.16e-122, 1.16e-122j | 
| -0.8194986812709115793 - 6.3000390241966440905e-400j | 2.63e-125, 2.63e-125j | 
| 4.8413636510591640675 - 9.4080493868957494114e-397j | 7.44e-121, 7.44e-121j | 
| -3.3846451410922140749 + 9.0132205514543936456e-398j | 3.27e-121, 3.27e-121j | 
| -2.9358825042901264849 + 2.636849936661394782e-410j | 1.69e-121, 1.69e-121j | 
| -1.6486229138923164114 - 9.0096401166951774273e-417j | 2.04e-123, 2.04e-123j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.9861235460670706094e-09 + 3.2890695345751184179e-350j | 6.78e-33, 3.88e-93j | 
| 1.9861235460670706094e-09 + 8.7653804363977417364e-352j | 1.02e-33, 5.83e-94j | 
| 7.8428404256585651489e-14 - 4.509394356355253539e-353j | 7.66e-36, 4.38e-96j | 
| 1.0293418087219364448e-20 - 7.2111786920153912167e-357j | 8.45e-39, 4.83e-99j | 
| 7.8428404256585651489e-14 + 4.9085613313062180948e-354j | 3.56e-37, 2.04e-97j | 
| 9.8689685435606542803e-08 - 6.5437981320895493699e-351j | 9.06e-34, 5.19e-94j | 
| 1.9657099447347823124e-11 - 8.2354927996473642562e-353j | 5.9e-36, 3.37e-96j | 
| 8.6574916679572283533e-17 - 1.5346544462004662098e-355j | 2.93e-39, 1.67e-99j | 
| 1.0293418087219364448e-20 + 1.5629736275547520427e-357j | 3.02e-41, 1.73e-101j | 
| 8.6574916679572283533e-17 + 9.5074884268526578268e-355j | 3.73e-41, 2.13e-101j | 
| 0.0032979722108336659672 - 4.3271268835809770355e-348j | 1.93e-33, 1.11e-93j | 
| 9.8689685435606542803e-08 - 1.1077261341092629665e-349j | 8.22e-38, 4.7e-98j | 
| 0.19544595696790116136 - 1.5889487250832423625e-347j | 3.34e-31, 1.91e-91j | 
| 0.051210835288719042046 - 6.9302910239672606257e-348j | 3.04e-31, 1.74e-91j | 
| 0.00047436637388934908609 + 2.0246675019389342613e-348j | 2.33e-35, 1.34e-95j | 
| 0.015594005777867257963 + 7.930770188455534624e-348j | 1.72e-33, 9.85e-94j | 
| 0.19544595696790116136 - 1.9204579742290080923e-347j | 1.53e-32, 8.73e-93j | 
| 2.7211278280581157879e-06 + 2.9684845876243878437e-349j | 1.49e-37, 8.52e-98j | 
| 0.23073727670048704578 + 1.8895418768192111245e-347j | 1.08e-32, 6.2e-93j | 
| 0.00047436637388934908609 + 5.4333284316872643115e-349j | 3.35e-38, 1.92e-98j | 
| 4.5083940269809461426e-05 - 8.1975686990986013114e-349j | 7.79e-37, 4.45e-97j | 
| 0.118560319266903537 + 1.6705192190323592812e-347j | 1.12e-33, 6.4e-94j | 
| 0.051210835288719042046 - 1.2441030231689338615e-347j | 3.61e-34, 2.07e-94j | 
| 0.0032979722108336659672 - 1.5284974427331424321e-348j | 1.4e-37, 8.01e-98j | 
| 0.118560319266903537 + 1.1389741143705560245e-347j | 8.36e-35, 4.78e-95j | 
| 1.9657099447347823124e-11 + 1.4815658528806064282e-351j | 6.59e-41, 3.77e-101j | 
| 2.7211278280581157879e-06 + 3.6425799022417317123e-350j | 4.81e-40, 2.75e-100j | 
| 4.5083940269809461426e-05 - 1.5742293059189730762e-349j | 1.58e-39, 9.04e-100j | 
| 0.015594005777867257963 + 3.5579848430014449744e-348j | 4.67e-38, 2.64e-98j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.