Rule: Q[22]

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.

• $P_1$:
  $\frac{263012370465}{524288}\cdot t^{22}-\frac{1412926920405}{524288}\cdot t^{20}+\frac{3273855059475}{524288}\cdot t^{18}-\frac{4281195077775}{524288}\cdot t^{16}+\frac{1735619626125}{262144}\cdot t^{14}-\frac{902522205585}{262144}\cdot t^{12}+\frac{300840735195}{262144}\cdot t^{10}-\frac{62386327575}{262144}\cdot t^8+\frac{15058768725}{524288}\cdot t^6-\frac{929553625}{524288}\cdot t^4+\frac{22309287}{524288}\cdot t^2-\frac{88179}{524288}$

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.