Rule: Q[1, 2, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{5}\cdot t$
• $P_3$:
  $t^{17}-\frac{2660449}{653790}\cdot t^{15}+\frac{276913}{40774}\cdot t^{13}-\frac{68094299}{11375946}\cdot t^{11}+\frac{17578561}{5884110}\cdot t^9-\frac{366222857}{436077930}\cdot t^7+\frac{90173083}{726796550}\cdot t^5-\frac{202159529}{24856442010}\cdot t^3+\frac{1267981}{8285480670}\cdot t$

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.