Rule: Q[2, 26]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{28}-\frac{32955811}{3160072}\cdot t^{26}+\frac{5217032275}{161163672}\cdot t^{24}-\frac{1589267225}{26860612}\cdot t^{22}+\frac{89281138375}{1262448764}\cdot t^{20}-\frac{1319087836495}{22724077752}\cdot t^{18}+\frac{213517061615}{6386505512}\cdot t^{16}-\frac{6215584514425}{458231770486}\cdot t^{14}+\frac{376603573775}{98192522247}\cdot t^{12}-\frac{7132558701125}{9688328861704}\cdot t^{10}+\frac{887197537655}{9688328861704}\cdot t^8-\frac{99197730515}{14532493292556}\cdot t^6+\frac{31387525}{118150351972}\cdot t^4-\frac{35496646925}{8709807646671896}\cdot t^2+\frac{17084241875}{1646153645220988344}$

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.