Rule: Q[6, 12]

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.

• $P_1$:
  $32\cdot t^6-48\cdot t^4+18\cdot t^2-1$
• $P_2$:
  $32\cdot t^{18}-144\cdot t^{16}+270\cdot t^{14}-273\cdot t^{12}+\frac{1287}{8}\cdot t^{10}-\frac{891}{16}\cdot t^8+\frac{693}{64}\cdot t^6-\frac{135}{128}\cdot t^4+\frac{81}{2048}\cdot t^2-\frac{1}{4096}$

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.