Rule: Q[21]

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.

• $P_1$:
  $\frac{67282234305}{262144}\cdot t^{21}-\frac{172308161025}{131072}\cdot t^{19}+\frac{755505013725}{262144}\cdot t^{17}-\frac{115707975075}{32768}\cdot t^{15}+\frac{347123925225}{131072}\cdot t^{13}-\frac{82047473235}{65536}\cdot t^{11}+\frac{48522699225}{131072}\cdot t^9-\frac{2151252675}{32768}\cdot t^7+\frac{1673196525}{262144}\cdot t^5-\frac{37182145}{131072}\cdot t^3+\frac{969969}{262144}\cdot t$

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.