Rule: Q[2, 13]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{15}-\frac{9527}{1738}\cdot t^{13}+\frac{347711}{43450}\cdot t^{11}-\frac{323869}{54510}\cdot t^9+\frac{42861}{18170}\cdot t^7-\frac{165711}{345230}\cdot t^5+\frac{252343}{5868910}\cdot t^3-\frac{32643}{29344550}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.