Rule: Q[8, 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.

• $P_1$:
  $128\cdot t^8-256\cdot t^6+160\cdot t^4-32\cdot t^2+1$
• $P_2$:
  $128\cdot t^{24}-768\cdot t^{22}+2016\cdot t^{20}-3040\cdot t^{18}+2907\cdot t^{16}-1836\cdot t^{14}+\frac{1547}{2}\cdot t^{12}-\frac{429}{2}\cdot t^{10}+\frac{19305}{512}\cdot t^8-\frac{1001}{256}\cdot t^6+\frac{429}{2048}\cdot t^4-\frac{9}{2048}\cdot t^2+\frac{1}{65536}$

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.