Rule: Q[19]

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.

• $P_1$:
  $\frac{4418157975}{65536}\cdot t^{19}-\frac{20419054425}{65536}\cdot t^{17}+\frac{9917826435}{16384}\cdot t^{15}-\frac{10518906825}{16384}\cdot t^{13}+\frac{13233463425}{32768}\cdot t^{11}-\frac{5019589575}{32768}\cdot t^9+\frac{557732175}{16384}\cdot t^7-\frac{66927861}{16384}\cdot t^5+\frac{14549535}{65536}\cdot t^3-\frac{230945}{65536}\cdot t$

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.