Rule: Q[5, 10]

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.

• $P_1$:
  $16\cdot t^5-20\cdot t^3+5\cdot t$
• $P_2$:
  $16\cdot t^{15}-60\cdot t^{13}+90\cdot t^{11}-\frac{275}{4}\cdot t^9+\frac{225}{8}\cdot t^7-\frac{189}{32}\cdot t^5+\frac{35}{64}\cdot t^3-\frac{15}{1024}\cdot t$

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.