Rule: Q[3, 14]

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.

• $P_1$:
  $\frac{5}{2}\cdot t^3-\frac{3}{2}\cdot t$
• $P_2$:
  $\frac{5}{2}\cdot t^{17}-\frac{2660449}{261516}\cdot t^{15}+\frac{1384565}{81548}\cdot t^{13}-\frac{340471495}{22751892}\cdot t^{11}+\frac{17578561}{2353644}\cdot t^9-\frac{366222857}{174431172}\cdot t^7+\frac{90173083}{290718620}\cdot t^5-\frac{202159529}{9942576804}\cdot t^3+\frac{1267981}{3314192268}\cdot t$

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.