Rule: Q[1, 14]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{15}-\frac{105}{29}\cdot t^{13}+\frac{455}{87}\cdot t^{11}-\frac{1001}{261}\cdot t^9+\frac{1001}{667}\cdot t^7-\frac{1001}{3335}\cdot t^5+\frac{1001}{38019}\cdot t^3-\frac{143}{215441}\cdot t$

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.