Rule: Q[2, 29]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{31}-\frac{809629325}{68975838}\cdot t^{29}+\frac{163176262865}{3931622766}\cdot t^{27}-\frac{140398069721}{1601772238}\cdot t^{25}+\frac{10453253371925}{84893928614}\cdot t^{23}-\frac{2807799821645}{23152889622}\cdot t^{21}+\frac{11281006767875}{131199707858}\cdot t^{19}-\frac{100773985461825}{2271826520278}\cdot t^{17}+\frac{6667927334185}{400910562402}\cdot t^{15}-\frac{3676438317175}{820912103966}\cdot t^{13}+\frac{85374257899385}{100972188787818}\cdot t^{11}-\frac{32584561221875}{302916566363454}\cdot t^9+\frac{10777623135175}{1245323661716422}\cdot t^7-\frac{493556578295}{1245323661716422}\cdot t^5+\frac{2448421982525}{287669765856493482}\cdot t^3-\frac{5223787255}{95889921952164494}\cdot t$

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.