Rule: Q[27]

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.

• $P_1$:
  $\frac{121683714103007}{8388608}\cdot t^{27}-\frac{805867616040669}{8388608}\cdot t^{25}+\frac{1185099435353925}{4194304}\cdot t^{23}-\frac{2039660932956075}{4194304}\cdot t^{21}+\frac{4556689318306125}{8388608}\cdot t^{19}-\frac{3463083881912655}{8388608}\cdot t^{17}+\frac{456375395290815}{2097152}\cdot t^{15}-\frac{166966608033225}{2097152}\cdot t^{13}+\frac{166966608033225}{8388608}\cdot t^{11}-\frac{27577067392875}{8388608}\cdot t^9+\frac{1418249180205}{4194304}\cdot t^7-\frac{82047473235}{4194304}\cdot t^5+\frac{4411154475}{8388608}\cdot t^3-\frac{35102025}{8388608}\cdot t$

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.