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) | 
|---|---|
| 10.612288477642586681 + 3.8529989315296564939e-731j | 6.33e-249, 6.33e-249j | 
| 8.7864717365715975543 - 6.9956610567931546248e-730j | 2.37e-247, 2.37e-247j | 
| 2.6584442954663036626 - 1.0262362305462858037e-731j | 7.54e-250, 7.54e-250j | 
| -4.3141128067129363688 + 5.5665030210158604747e-727j | 6.56e-248, 6.56e-248j | 
| -4.885706922446518436 - 3.8175262647549162368e-730j | 1.92e-247, 1.92e-247j | 
| 5.4711690424992846196 - 7.4176539427548740779e-736j | 3.89e-247, 3.89e-247j | 
| 6.6984486691885249844 + 1.7886528021155651414e-735j | 9.34e-247, 9.34e-247j | 
| 8.0418815084029699112 + 1.2544909651352647513e-735j | 5.33e-247, 5.33e-247j | 
| -3.7537368496780427836 + 1.433066459540298651e-734j | 1.75e-248, 1.75e-248j | 
| 9.6160998511061804336 - 9.0216931456489158556e-739j | 5.93e-248, 5.93e-248j | 
| 1.5864378910889790429 - 8.2902265081749771631e-742j | 8.33e-252, 8.33e-252j | 
| -3.2024406515275113362 + 1.1253378614181504663e-736j | 4.81e-249, 4.81e-249j | 
| -2.6584442954663036626 - 1.6900414283046879773e-739j | 8.39e-250, 8.39e-250j | 
| 3.2024406515275113362 - 2.3563082408262786083e-743j | 3.89e-249, 3.89e-249j | 
| -5.4711690424992846196 + 8.6250970232022732694e-740j | 3.66e-247, 3.66e-247j | 
| 2.1202236048365765903 + 1.0551903496454338566e-757j | 1.03e-250, 1.03e-250j | 
| 7.3512225939555800243 - 3.2365353715423720007e-752j | 7.24e-247, 7.24e-247j | 
| -2.1202236048365765903 + 3.9486024852078780114e-756j | 9.08e-251, 9.08e-251j | 
| -6.0738999098351062764 + 2.3351501520435558744e-759j | 7.64e-247, 7.64e-247j | 
| 4.3141128067129363688 + 1.7095324638592154487e-771j | 7.59e-248, 7.59e-248j | 
| 6.0738999098351062764 - 1.3009114998646649137e-770j | 6.57e-247, 6.57e-247j | 
| 4.885706922446518436 + 5.3359515744107033646e-771j | 1.58e-247, 1.58e-247j | 
| -1.5864378910889790429 + 6.9786182651386642773e-775j | 1.01e-251, 1.01e-251j | 
| -0.52741923422627750006 + 8.5563012926514622957e-779j | 6.32e-254, 6.32e-254j | 
| 3.7537368496780427836 - 5.1262480095464837291e-778j | 2.12e-248, 2.12e-248j | 
| -1.3248770469812357667e-779 - 9.6597852686453369392e-780j | 5.74e-778, 5.74e-778j | 
| 0.52741923422627750006 - 1.5603460890008077873e-780j | 6.32e-254, 6.32e-254j | 
| 1.0558767922250993312 - 3.8881299431274942938e-778j | 7.88e-253, 7.88e-253j | 
| -1.0558767922250993312 + 1.7341977574333016053e-780j | 7.82e-253, 7.82e-253j | 
| -7.3512225939555800243 - 1.1231437494885298253e-801j | 6.72e-247, 6.72e-247j | 
| -9.6160998511061804336 - 6.4013693509978690158e-832j | 6.52e-248, 6.52e-248j | 
| -10.612288477642586681 - 1.3319453254699148863e-863j | 6.78e-249, 6.78e-249j | 
| -8.7864717365715975543 - 9.4761929887799382352e-904j | 2.36e-247, 2.36e-247j | 
| -6.6984486691885249844 - 1.3021670474477576655e-943j | 7.68e-247, 7.68e-247j | 
| -8.0418815084029699112 - 3.9073468397095599249e-968j | 4.75e-247, 4.75e-247j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.6046191917901400567e-25 - 6.7707327078831755377e-743j | 9.02e-95, 3.93e-218j | 
| 5.3540941980660238582e-18 - 4.4564939991723666426e-739j | 4.51e-92, 1.96e-215j | 
| 0.0063001959597203624085 - 2.8616800529237828635e-731j | 5.73e-76, 2.5e-199j | 
| 2.050985370117567337e-05 + 2.4629908262195448554e-731j | 1.23e-83, 5.38e-207j | 
| 1.5119240781611664958e-06 + 5.4217396681960349675e-732j | 2.08e-85, 9.06e-209j | 
| 7.4864601785189610172e-08 + 7.0581818591952300873e-734j | 6.37e-87, 2.78e-210j | 
| 4.592895709255708504e-11 + 1.5530226522031622088e-735j | 1.34e-89, 5.84e-213j | 
| 2.5785970044203139112e-15 + 1.036995601400779623e-737j | 6.55e-92, 2.85e-215j | 
| 0.00019314471461398673192 - 6.2524954163162131424e-731j | 8.08e-85, 3.52e-208j | 
| 2.9595426287091171414e-21 + 9.8531873676515086015e-741j | 1.3e-94, 5.65e-218j | 
| 0.060296580867740502845 - 1.0474137133646611108e-730j | 6.95e-77, 3.03e-200j | 
| 0.0012948310774983528932 + 8.1605659758245244483e-731j | 1.32e-83, 5.77e-207j | 
| 0.0063001959597203624085 - 1.2086031875693441426e-730j | 3.16e-82, 1.38e-205j | 
| 0.0012948310774983528932 + 1.212441940820675512e-731j | 4.93e-84, 2.15e-207j | 
| 7.4864601785189610172e-08 - 5.9638574200710162461e-733j | 1.1e-90, 4.82e-214j | 
| 0.022581561213936442563 + 5.8658454170367567144e-731j | 7.1e-81, 3.1e-204j | 
| 4.9211583184976970368e-13 - 1.5174900074902285605e-736j | 7.88e-92, 3.44e-215j | 
| 0.022581561213936442563 + 1.7267350500847865298e-730j | 1.16e-82, 5.06e-206j | 
| 2.3831233337056717398e-09 + 6.9955981804633928189e-734j | 6.95e-93, 3.03e-216j | 
| 2.050985370117567337e-05 + 1.3256530382857140218e-732j | 4.48e-88, 1.95e-211j | 
| 2.3831233337056717398e-09 - 1.1860626819200260793e-734j | 1.28e-90, 5.56e-214j | 
| 1.5119240781611664958e-06 - 3.3744627842843643298e-733j | 4.09e-89, 1.78e-212j | 
| 0.060296580867740502845 - 2.2693114538435981381e-730j | 4.83e-85, 2.1e-208j | 
| 0.18320856219115164582 - 2.8489174708987933198e-730j | 4.26e-83, 1.86e-206j | 
| 0.00019314471461398673192 - 4.3536655330217661517e-732j | 1.13e-87, 4.91e-211j | 
| 0.21034114541276070868 + 2.6790323962891645098e-730j | 2.86e-83, 1.25e-206j | 
| 0.18320856219115164582 - 2.2274461177062167519e-730j | 9.82e-84, 4.28e-207j | 
| 0.12093245219703023979 + 1.6310390611924633783e-730j | 2.61e-84, 1.14e-207j | 
| 0.12093245219703023979 + 2.6902849146664865141e-730j | 8.38e-85, 3.65e-208j | 
| 4.9211583184976970368e-13 + 5.8247735758152276193e-736j | 7.36e-99, 3.21e-222j | 
| 2.9595426287091171414e-21 - 2.5875488877734431841e-740j | 1.27e-103, 5.55e-227j | 
| 1.6046191917901400567e-25 + 1.6039485353345082056e-742j | 1.7e-105, 7.41e-229j | 
| 5.3540941980660238582e-18 + 1.3047207850368753021e-738j | 1.69e-102, 7.39e-226j | 
| 4.592895709255708504e-11 - 7.1677304451463545052e-735j | 3.57e-99, 1.55e-222j | 
| 2.5785970044203139112e-15 - 3.4351907307338472755e-737j | 2.18e-101, 9.51e-225j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.