Rule: Q[1, 2, 10]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{5}\cdot t$
• $P_3$:
  $t^{13}-\frac{124943}{42780}\cdot t^{11}+\frac{576433}{179676}\cdot t^9-\frac{310453}{189658}\cdot t^7+\frac{10439}{27094}\cdot t^5-\frac{97669}{2763588}\cdot t^3+\frac{3421}{4605980}\cdot t$

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.