Rule: Q[1, 16]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{17}-\frac{136}{33}\cdot t^{15}+\frac{2380}{341}\cdot t^{13}-\frac{61880}{9889}\cdot t^{11}+\frac{77350}{24273}\cdot t^9-\frac{12376}{13485}\cdot t^7+\frac{43316}{310155}\cdot t^5-\frac{1768}{186093}\cdot t^3+\frac{221}{1178589}\cdot t$

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.