Rule: Q[2, 23]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{25}-\frac{58971525}{6424054}\cdot t^{23}+\frac{475944865}{19272162}\cdot t^{21}-\frac{32238525}{839618}\cdot t^{19}+\frac{30864184725}{808971943}\cdot t^{17}-\frac{266022720865}{10516635259}\cdot t^{15}+\frac{4413677920575}{389115504583}\cdot t^{13}-\frac{102170405535}{29931961891}\cdot t^{11}+\frac{280731323675}{419047466474}\cdot t^9-\frac{1053862524825}{12990471460694}\cdot t^7+\frac{295439926485}{53817667480018}\cdot t^5-\frac{83248816825}{484359007320162}\cdot t^3+\frac{42761324}{26908833740009}\cdot t$

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.