Rule: Q[23]

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.

• $P_1$:
  $\frac{514589420475}{524288}\cdot t^{23}-\frac{2893136075115}{524288}\cdot t^{21}+\frac{7064634602025}{524288}\cdot t^{19}-\frac{9821565178425}{524288}\cdot t^{17}+\frac{4281195077775}{262144}\cdot t^{15}-\frac{2429867476575}{262144}\cdot t^{13}+\frac{902522205585}{262144}\cdot t^{11}-\frac{214886239425}{262144}\cdot t^9+\frac{62386327575}{524288}\cdot t^7-\frac{5019589575}{524288}\cdot t^5+\frac{185910725}{524288}\cdot t^3-\frac{2028117}{524288}\cdot t$

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.