Rule: Q[2, 4, 7]

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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^6-3\cdot t^4+\frac{9}{8}\cdot t^2-\frac{1}{16}$
• $P_3$:
  $2\cdot t^{13}-7\cdot t^{11}+\frac{19}{2}\cdot t^9-\frac{25}{4}\cdot t^7+\frac{259}{128}\cdot t^5-\frac{73}{256}\cdot t^3+\frac{3}{256}\cdot t$

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.