Rule: Q[7, 8]

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.

• $P_1$:
  $\frac{429}{16}\cdot t^7-\frac{693}{16}\cdot t^5+\frac{315}{16}\cdot t^3-\frac{35}{16}\cdot t$
• $P_2$:
  $\frac{429}{16}\cdot t^{15}-\frac{27225}{272}\cdot t^{13}+\frac{13131495}{87856}\cdot t^{11}-\frac{1188386485}{10454864}\cdot t^9+\frac{3595718907495}{77669184656}\cdot t^7-\frac{107404612029}{11095597808}\cdot t^5+\frac{9905616105}{11095597808}\cdot t^3-\frac{264663405}{11095597808}\cdot t$

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.