Rule: Q[3, 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.

• $P_1$:
  $\frac{5}{2}\cdot t^3-\frac{3}{2}\cdot t$
• $P_2$:
  $\frac{5}{2}\cdot t^{25}-\frac{4304920607}{274261356}\cdot t^{23}+\frac{535516272071}{12341761020}\cdot t^{21}-\frac{57135203279}{822784068}\cdot t^{19}+\frac{34407359525693}{483522770628}\cdot t^{17}-\frac{11213406733991}{229968147006}\cdot t^{15}+\frac{2634095698720717}{116287226336034}\cdot t^{13}-\frac{316692035130031}{44725856283090}\cdot t^{11}+\frac{19427608737779}{13417756884927}\cdot t^9-\frac{33887938275433}{184866872636772}\cdot t^7+\frac{7220648427839}{554600617910316}\cdot t^5-\frac{186639634254031}{434252283823777428}\cdot t^3+\frac{491711610341}{116734484898864900}\cdot t$

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.