Rule: Q[6, 7, 14]

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.

• $P_1$:
  $64\cdot t^6-80\cdot t^4+24\cdot t^2-1$
• $P_2$:
  $64\cdot t^{13}-192\cdot t^{11}+220\cdot t^9-120\cdot t^7+\frac{63}{2}\cdot t^5-\frac{7}{2}\cdot t^3+\frac{7}{64}\cdot t$
• $P_3$:
  $64\cdot t^{27}-416\cdot t^{25}+1200\cdot t^{23}-2024\cdot t^{21}+\frac{8855}{4}\cdot t^{19}-\frac{13167}{8}\cdot t^{17}+\frac{6783}{8}\cdot t^{15}-\frac{4845}{16}\cdot t^{13}+\frac{37791}{512}\cdot t^{11}-\frac{12155}{1024}\cdot t^9+\frac{2431}{2048}\cdot t^7-\frac{273}{4096}\cdot t^5+\frac{455}{262144}\cdot t^3-\frac{7}{524288}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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