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) |
|---|---|
| 1.7566836492998817735 - 7.3318472723990512369e-150j | 6.16e-62, 6.16e-62j |
| 3.4361591188377376033 + 1.9093352271872529263e-152j | 5.72e-62, 5.72e-62j |
| -0.34290132722370460879 - 3.341336647577692621e-152j | 2.1e-63, 2.1e-63j |
| 0.34290132722370460879 + 2.0976583306500581466e-155j | 2.1e-63, 2.1e-63j |
| 1.0366108297895136542 - 1.1380524797363596715e-159j | 1.63e-62, 1.63e-62j |
| 2.5327316742327897964 + 9.7679827858230944097e-165j | 1.1e-61, 1.1e-61j |
| -2.5327316742327897964 + 3.0846974273316916707e-179j | 1.15e-61, 1.15e-61j |
| -1.0366108297895136542 + 1.4588683026999930633e-189j | 1.63e-62, 1.63e-62j |
| -3.4361591188377376033 - 6.0095328124991977113e-199j | 4.07e-62, 4.07e-62j |
| -1.7566836492998817735 + 9.7335888194312182964e-208j | 6.87e-62, 6.87e-62j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 0.019111580500770285605 + 2.4744163109457577406e-151j | 2.68e-24, 2.81e-55j |
| 4.3106526307182867322e-06 - 1.2425221803400686179e-153j | 2.86e-27, 2.99e-58j |
| 0.34464233493201904288 - 2.8734033682254019689e-151j | 1.76e-23, 1.85e-54j |
| 0.34464233493201904288 + 4.3766653274709105133e-151j | 1.19e-23, 1.25e-54j |
| 0.13548370298026773556 - 5.2335248823224299339e-151j | 5.03e-24, 5.27e-55j |
| 0.00075807093431221767007 + 3.5773931817912495743e-152j | 5.04e-26, 5.29e-57j |
| 0.00075807093431221767007 + 6.2591345353617514149e-153j | 1.57e-27, 1.64e-58j |
| 0.13548370298026773556 + 1.2314909992829813983e-151j | 1.48e-25, 1.55e-56j |
| 4.3106526307182867322e-06 - 3.92069765727832346e-154j | 7.29e-29, 7.8e-60j |
| 0.019111580500770285605 - 3.7962913122388121136e-152j | 8.9e-27, 8.95e-58j |
All rules of Hermite (physicists') type can be downloaded here packed into a single file.