Rule: Q[18]

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.

• $P_1$:
  $\frac{2268783825}{65536}\cdot t^{18}-\frac{9917826435}{65536}\cdot t^{16}+\frac{4508102925}{16384}\cdot t^{14}-\frac{4411154475}{16384}\cdot t^{12}+\frac{5019589575}{32768}\cdot t^{10}-\frac{1673196525}{32768}\cdot t^8+\frac{156165009}{16384}\cdot t^6-\frac{14549535}{16384}\cdot t^4+\frac{2078505}{65536}\cdot t^2-\frac{12155}{65536}$

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.