Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{19}-\frac{171}{37}\cdot t^{17}+\frac{11628}{1295}\cdot t^{15}-\frac{3876}{407}\cdot t^{13}+\frac{75582}{12617}\cdot t^{11}-\frac{75582}{33263}\cdot t^9+\frac{16796}{33263}\cdot t^7-\frac{50388}{831575}\cdot t^5+\frac{12597}{3825245}\cdot t^3-\frac{4199}{80330145}\cdot t$

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.