Rule: Q[1, 20]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{21}-\frac{210}{41}\cdot t^{19}+\frac{5985}{533}\cdot t^{17}-\frac{271320}{19721}\cdot t^{15}+\frac{203490}{19721}\cdot t^{13}-\frac{81396}{16687}\cdot t^{11}+\frac{67830}{47027}\cdot t^9-\frac{348840}{1363783}\cdot t^7+\frac{33915}{1363783}\cdot t^5-\frac{4522}{4091349}\cdot t^3+\frac{2261}{156835045}\cdot t$

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.