Rule: Q[11, 12]

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.

• $P_1$:
  $2048\cdot t^{11}-5120\cdot t^9+4608\cdot t^7-1792\cdot t^5+280\cdot t^3-12\cdot t$
• $P_2$:
  $2048\cdot t^{23}-11264\cdot t^{21}+26880\cdot t^{19}-36480\cdot t^{17}+31008\cdot t^{15}-17136\cdot t^{13}+6188\cdot t^{11}-1430\cdot t^9+\frac{6435}{32}\cdot t^7-\frac{1001}{64}\cdot t^5+\frac{143}{256}\cdot t^3-\frac{3}{512}\cdot t$

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.