Rule: Q[17]

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.

• $P_1$:
  $\frac{583401555}{32768}\cdot t^{17}-\frac{300540195}{4096}\cdot t^{15}+\frac{1017958725}{8192}\cdot t^{13}-\frac{456326325}{4096}\cdot t^{11}+\frac{929553625}{16384}\cdot t^9-\frac{66927861}{4096}\cdot t^7+\frac{20369349}{8192}\cdot t^5-\frac{692835}{4096}\cdot t^3+\frac{109395}{32768}\cdot t$

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.