Rule: Q[2, 37]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{39}-\frac{411286697416806476491}{555847452794224045}\cdot t^{37}+\frac{136759913960259947567121}{555847452794224045}\cdot t^{35}-\frac{773847693524098917955521}{15881355794120687}\cdot t^{33}+\frac{101999375448087673560051036}{15881355794120687}\cdot t^{31}-\frac{9472129547642468965347516900}{15881355794120687}\cdot t^{29}+\frac{640012795752798403596962784252}{15881355794120687}\cdot t^{27}-\frac{2465015755301188999220868139044}{1221642753393899}\cdot t^{25}+\frac{92302902261916548707004421991850}{1221642753393899}\cdot t^{23}-\frac{2590936840678860335070694562077350}{1221642753393899}\cdot t^{21}+\frac{54329867339894064819600894491393250}{1221642753393899}\cdot t^{19}-\frac{843341857760543882278603794876066150}{1221642753393899}\cdot t^{17}+\frac{9543813966386143366158667818010215900}{1221642753393899}\cdot t^{15}-\frac{76971086323541760537060132759971278500}{1221642753393899}\cdot t^{13}+\frac{428206190546374594507244284657791673500}{1221642753393899}\cdot t^{11}-\frac{1567769395778203442081753470632011392500}{1221642753393899}\cdot t^9+\frac{3522261208994325084683125269417269959875}{1221642753393899}\cdot t^7-\frac{4344580401602443583431082931068400001125}{1221642753393899}\cdot t^5+\frac{2410073472732099838506901601260226499375}{1221642753393899}\cdot t^3-\frac{379972289494132967999452880128808368125}{1221642753393899}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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