Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{27}-\frac{351}{53}\cdot t^{25}+\frac{17550}{901}\cdot t^{23}-\frac{1480050}{44149}\cdot t^{21}+\frac{11100375}{296429}\cdot t^{19}-\frac{8436285}{296429}\cdot t^{17}+\frac{11248380}{749791}\cdot t^{15}-\frac{168725700}{30741431}\cdot t^{13}+\frac{42181425}{30741431}\cdot t^{11}-\frac{257775375}{1137432947}\cdot t^9+\frac{185598270}{7962030629}\cdot t^7-\frac{1533870}{1137432947}\cdot t^5+\frac{1278225}{35260421357}\cdot t^3-\frac{294975}{1022552219353}\cdot t$

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.