Rule: Q[2, 3, 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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^5-3\cdot t^3+1\cdot t$
• $P_3$:
  $2\cdot t^{17}-9\cdot t^{15}+\frac{67}{4}\cdot t^{13}-\frac{133}{8}\cdot t^{11}+\frac{605}{64}\cdot t^9-\frac{393}{128}\cdot t^7+\frac{273}{512}\cdot t^5-\frac{43}{1024}\cdot t^3+\frac{1}{1024}\cdot t$

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.