Rule: Q[12, 26]

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.

• $P_1$:
  $4096\cdot t^{12}-11264\cdot t^{10}+11520\cdot t^8-5376\cdot t^6+1120\cdot t^4-84\cdot t^2+1$
• $P_2$:
  $4096\cdot t^{38}-37888\cdot t^{36}+161280\cdot t^{34}-418880\cdot t^{32}+742016\cdot t^{30}-949344\cdot t^{28}+906192\cdot t^{26}-\frac{2629575}{4}\cdot t^{24}+\frac{5852925}{16}\cdot t^{22}-\frac{10015005}{64}\cdot t^{20}+\frac{6561555}{128}\cdot t^{18}-\frac{13037895}{1024}\cdot t^{16}+\frac{2414425}{1024}\cdot t^{14}-\frac{1300075}{4096}\cdot t^{12}+\frac{245157}{8192}\cdot t^{10}-\frac{245157}{131072}\cdot t^8+\frac{74613}{1048576}\cdot t^6-\frac{5985}{4194304}\cdot t^4+\frac{95}{8388608}\cdot t^2-\frac{1}{67108864}$

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.