Rule: Q[18, 19]

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.

• $P_1$:
  $262144\cdot t^{18}-1114112\cdot t^{16}+1966080\cdot t^{14}-1863680\cdot t^{12}+1025024\cdot t^{10}-329472\cdot t^8+59136\cdot t^6-5280\cdot t^4+180\cdot t^2-1$
• $P_2$:
  $262144\cdot t^{37}-2359296\cdot t^{35}+9748480\cdot t^{33}-24510464\cdot t^{31}+41902080\cdot t^{29}-51552256\cdot t^{27}+47121984\cdot t^{25}-32572800\cdot t^{23}+17168580\cdot t^{21}-6906900\cdot t^{19}+\frac{8436285}{4}\cdot t^{17}-482885\cdot t^{15}+\frac{1300075}{16}\cdot t^{13}-\frac{156009}{16}\cdot t^{11}+\frac{408595}{512}\cdot t^9-\frac{10659}{256}\cdot t^7+\frac{20349}{16384}\cdot t^5-\frac{285}{16384}\cdot t^3+\frac{19}{262144}\cdot t$

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.