Rule: Q[4, 24]

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.

• $P_1$:
  $8\cdot t^4-8\cdot t^2+1$
• $P_2$:
  $8\cdot t^{28}-56\cdot t^{26}+175\cdot t^{24}-322\cdot t^{22}+\frac{12397}{32}\cdot t^{20}-\frac{10241}{32}\cdot t^{18}+\frac{47481}{256}\cdot t^{16}-\frac{4845}{64}\cdot t^{14}+\frac{88179}{4096}\cdot t^{12}-\frac{17017}{4096}\cdot t^{10}+\frac{17017}{32768}\cdot t^8-\frac{637}{16384}\cdot t^6+\frac{3185}{2097152}\cdot t^4-\frac{49}{2097152}\cdot t^2+\frac{1}{16777216}$

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.