Rule: Q[1, 2, 16]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{4}\cdot t$
• $P_3$:
  $t^{19}-5\cdot t^{17}+\frac{169}{16}\cdot t^{15}-\frac{49}{4}\cdot t^{13}+\frac{2171}{256}\cdot t^{11}-\frac{913}{256}\cdot t^9+\frac{1815}{2048}\cdot t^7-\frac{123}{1024}\cdot t^5+\frac{489}{65536}\cdot t^3-\frac{9}{65536}\cdot t$

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.