Rule: Q[2, 24]

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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{26}-13\cdot t^{24}+\frac{299}{8}\cdot t^{22}-\frac{1001}{16}\cdot t^{20}+\frac{8645}{128}\cdot t^{18}-\frac{12597}{256}\cdot t^{16}+\frac{12597}{512}\cdot t^{14}-\frac{8619}{1024}\cdot t^{12}+\frac{31603}{16384}\cdot t^{10}-\frac{9295}{32768}\cdot t^8+\frac{13013}{524288}\cdot t^6-\frac{1183}{1048576}\cdot t^4+\frac{169}{8388608}\cdot t^2-\frac{1}{16777216}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev T (first kind) type can be downloaded here packed into a single file.