Rule: Q[1, 22]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{23}-\frac{253}{45}\cdot t^{21}+\frac{1771}{129}\cdot t^{19}-\frac{33649}{1763}\cdot t^{17}+\frac{1144066}{68757}\cdot t^{15}-\frac{8008462}{848003}\cdot t^{13}+\frac{1144066}{326155}\cdot t^{11}-\frac{163438}{195693}\cdot t^9+\frac{245157}{2022161}\cdot t^7-\frac{572033}{58642669}\cdot t^5+\frac{572033}{1583352063}\cdot t^3-\frac{52003}{13194600525}\cdot t$

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.