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) | 
|---|---|
| 6.5416750050986344415 - 1.0408315769799362336e-326j | 6.45e-122, 6.45e-122j | 
| -7.4378906660216631085 + 1.7575296953834828922e-328j | 2.87e-122, 2.87e-122j | 
| -4.9780413746391203346 - 2.7261530571571182317e-330j | 5.55e-122, 5.55e-122j | 
| -6.5416750050986344415 + 1.5512688386074327192e-332j | 4.74e-122, 4.74e-122j | 
| -5.7327471752512011483 + 7.2816435642747955036e-337j | 7.98e-122, 7.98e-122j | 
| 1.593480429816420107 - 3.1513292349803305929e-339j | 9.13e-125, 9.13e-125j | 
| -0.9534219229321090849 - 3.6348134706170787475e-344j | 6.38e-126, 6.38e-126j | 
| -2.2404678516917523625 + 4.7205658479116374894e-342j | 5.68e-124, 5.68e-124j | 
| 3.5693067640735602471 + 7.8024646345328365588e-347j | 1.44e-122, 1.44e-122j | 
| -2.8977286432233136893 + 3.5979948262518675721e-355j | 3.52e-123, 3.52e-123j | 
| 8.5078035191952572051 - 1.9282006682324664499e-361j | 5.99e-123, 5.99e-123j | 
| 7.4378906660216631085 - 1.8239376995299607797e-374j | 3.14e-122, 3.14e-122j | 
| 5.7327471752512011483 + 9.9843920157538481457e-399j | 8.4e-122, 8.4e-122j | 
| 4.9780413746391203346 - 1.2762283455310328027e-417j | 5.64e-122, 5.64e-122j | 
| 4.2603836050199054888 - 8.3901938420485619725e-432j | 3e-122, 3e-122j | 
| 2.8977286432233136893 - 1.0036177069128262239e-438j | 2.64e-123, 2.64e-123j | 
| 2.2404678516917523625 + 3.845762397234132332e-442j | 6.66e-124, 6.66e-124j | 
| -1.593480429816420107 + 8.590588814549562359e-446j | 9.16e-125, 9.16e-125j | 
| -4.2603836050199054888 + 1.4182444661441793986e-442j | 3.2e-122, 3.2e-122j | 
| -3.5693067640735602471 - 6.2175937522467361381e-448j | 1.16e-122, 1.16e-122j | 
| -8.5078035191952572051 + 6.4059776055022859778e-451j | 6e-123, 6e-123j | 
| 0.9534219229321090849 + 3.4489763381501898274e-453j | 8.2e-126, 8.2e-126j | 
| 0.31737009662945231932 + 6.437193712609244463e-456j | 7.54e-127, 7.54e-127j | 
| -0.31737009662945231932 - 1.4417410627712996311e-455j | 7.54e-127, 7.54e-127j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.7186649279648580221e-10 + 5.8545310669352897295e-336j | 3.97e-37, 4.05e-98j | 
| 3.7149741527623985404e-13 + 5.4467899096725412237e-339j | 1.1e-38, 1.12e-99j | 
| 1.2176597454425813213e-06 - 2.1380934157740292334e-335j | 2.72e-35, 2.77e-96j | 
| 1.7186649279648580221e-10 - 1.1306309409471543636e-337j | 7.8e-38, 7.95e-99j | 
| 2.2674616734806419913e-08 + 1.0831686578455350658e-336j | 1.19e-36, 1.21e-97j | 
| 0.072069364017178329609 - 7.5290160841758103828e-333j | 6.19e-29, 6.31e-90j | 
| 0.16145951286700008649 - 7.6222427061245104074e-333j | 6.14e-29, 6.27e-90j | 
| 0.021126344408967546632 - 2.4210407376924009897e-333j | 4.15e-31, 4.23e-92j | 
| 0.00046471871877939570042 + 9.9741665993831865997e-334j | 6.2e-36, 6.33e-97j | 
| 0.0039766089291813086419 + 1.0042386916490156682e-333j | 3.67e-33, 3.74e-94j | 
| 9.3901936890419560729e-17 - 6.7028761702604252733e-340j | 9.59e-44, 9.78e-105j | 
| 3.7149741527623985404e-13 + 9.2646545567287870132e-338j | 2.75e-42, 2.8e-103j | 
| 2.2674616734806419913e-08 - 2.5443663804120802003e-335j | 1.41e-40, 1.44e-101j | 
| 1.2176597454425813213e-06 + 9.6637985133549978718e-335j | 4.62e-40, 4.71e-101j | 
| 3.2095005652745912496e-05 - 3.4075161169775918975e-334j | 1.99e-39, 2.02e-100j | 
| 0.0039766089291813086419 - 2.3860898509535825988e-333j | 2.31e-38, 2.35e-99j | 
| 0.021126344408967546632 + 4.6732077508592400079e-333j | 7.22e-38, 7.36e-99j | 
| 0.072069364017178329609 + 4.7463481940834198087e-333j | 6.73e-38, 6.87e-99j | 
| 3.2095005652745912496e-05 + 9.5500757429006265275e-335j | 9.48e-42, 9.67e-103j | 
| 0.00046471871877939570042 - 3.3755233745073232204e-334j | 4.44e-41, 4.53e-102j | 
| 9.3901936890419560729e-17 - 7.8632349169897361216e-341j | 6.68e-48, 6.81e-109j | 
| 0.16145951286700008649 + 1.0020327229788694603e-332j | 1.91e-39, 1.97e-100j | 
| 0.24087011554664032552 - 1.1044690049345857888e-332j | 1.37e-39, 1.41e-100j | 
| 0.24087011554664032552 + 1.0087608725475073007e-332j | 1.16e-39, 1.14e-100j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.