Rule: Q[1, 36]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{37}-\frac{666}{73}\cdot t^{35}+\frac{198135}{5183}\cdot t^{33}-\frac{11623920}{119209}\cdot t^{31}+\frac{1351280700}{7987003}\cdot t^{29}-\frac{21944798568}{103831039}\cdot t^{27}+\frac{1567485612}{7987003}\cdot t^{25}-\frac{67177954800}{487207183}\cdot t^{23}+\frac{92369687850}{1249792339}\cdot t^{21}-\frac{718430905500}{23746054441}\cdot t^{19}+\frac{11756142090}{1249792339}\cdot t^{17}-\frac{145348665840}{66238993967}\cdot t^{15}+\frac{24937271100}{66238993967}\cdot t^{13}-\frac{3053543400}{66238993967}\cdot t^{11}+\frac{83972443500}{21792629015143}\cdot t^9-\frac{4478530320}{21792629015143}\cdot t^7+\frac{839724435}{133869006807307}\cdot t^5-\frac{493955550}{5488629279099587}\cdot t^3+\frac{27441975}{71352180628294631}\cdot t$

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.