Rule: Q[34]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ 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.

• $P_1$:
  $17179869184\cdot t^{34}-4818953306112\cdot t^{32}+597550209957888\cdot t^{30}-43322390221946880\cdot t^{28}+2046982937986990080\cdot t^{26}-66526945484577177600\cdot t^{24}+1530119746145275084800\cdot t^{22}-25246975811397038899200\cdot t^{20}+299807837760339836928000\cdot t^{18}-2548366620962888613888000\cdot t^{16}+15290199725777331683328000\cdot t^{14}-63245826138442599235584000\cdot t^{12}+173926021880717147897856000\cdot t^{10}-301025807101241217515520000\cdot t^8+301025807101241217515520000\cdot t^6-150512903550620608757760000\cdot t^4+28221169415741364142080000\cdot t^2-830034394580628357120000$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.