Rule: Q[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.

• $P_1$:
  $\frac{61989816618513}{8388608}\cdot t^{26}-\frac{395033145117975}{8388608}\cdot t^{24}+\frac{556271163533475}{4194304}\cdot t^{22}-\frac{911337863661225}{4194304}\cdot t^{20}+\frac{1923935489951475}{8388608}\cdot t^{18}-\frac{1369126185872445}{8388608}\cdot t^{16}+\frac{166966608033225}{2097152}\cdot t^{14}-\frac{55655536011075}{2097152}\cdot t^{12}+\frac{49638721307175}{8388608}\cdot t^{10}-\frac{7091245901025}{8388608}\cdot t^8+\frac{300840735195}{4194304}\cdot t^6-\frac{13233463425}{4194304}\cdot t^4+\frac{456326325}{8388608}\cdot t^2-\frac{1300075}{8388608}$

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.