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) |
|---|---|
| -2.7516420536594795527e-135 - 2.7516420536594795527e-135j | 3.5e-134, 3.5e-134j |
| -1.0232556637891325248 - 1.6122902658161013004e-137j | 5.69e-63, 5.69e-63j |
| -4.5127458633997826676 + 3.6948318591618988135e-138j | 5.31e-62, 5.31e-62j |
| -3.2054290028564699434 - 4.0307256645402532511e-138j | 8.44e-62, 8.44e-62j |
| -2.0768479786778301065 + 2.2551463984142448813e-142j | 3.32e-62, 3.32e-62j |
| 2.0768479786778301065 - 1.7782069995880619868e-161j | 3.32e-62, 3.32e-62j |
| 4.5127458633997826676 - 7.5309995784465128679e-182j | 5.31e-62, 5.31e-62j |
| 3.2054290028564699434 + 0j | 8.44e-62, 8.44e-62j |
| 1.0232556637891325248 - 1.4983071721737130155e-195j | 5.69e-63, 5.69e-63j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 0.40634920634920634921 + 5.007200892999160577e-138j | 1.3e-21, 1.71e-52j |
| 0.24409750289493943614 - 8.4897793284263626435e-136j | 1.3e-21, 1.71e-52j |
| 2.2345844007746583648e-05 + 1.8260061838438223077e-138j | 4.48e-27, 5.9e-58j |
| 0.0027891413212317686288 - 2.8725465008370183135e-137j | 5.7e-26, 7.51e-57j |
| 0.049916406765217874043 + 1.8704880180873799631e-136j | 2.71e-25, 3.57e-56j |
| 0.049916406765217874043 - 1.8811054343233891133e-136j | 5.02e-26, 6.6e-57j |
| 2.2345844007746583648e-05 - 1.8304392902263480068e-138j | 1.39e-28, 1.82e-59j |
| 0.0027891413212317686288 + 2.8798169597283705748e-137j | 1.79e-27, 2.37e-58j |
| 0.24409750289493943614 + 8.4496420209070702189e-136j | 6.13e-26, 6.44e-57j |
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.