Rule: Q[6, 36]

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.

• $P_1$:
  $32\cdot t^6-48\cdot t^4+18\cdot t^2-1$
• $P_2$:
  $32\cdot t^{42}-336\cdot t^{40}+1638\cdot t^{38}-4921\cdot t^{36}+\frac{81585}{8}\cdot t^{34}-\frac{247401}{16}\cdot t^{32}+\frac{284053}{16}\cdot t^{30}-\frac{504339}{32}\cdot t^{28}+\frac{5607063}{512}\cdot t^{26}-\frac{6135675}{1024}\cdot t^{24}+\frac{84672315}{32768}\cdot t^{22}-\frac{57358665}{65536}\cdot t^{20}+\frac{121090515}{524288}\cdot t^{18}-\frac{49142835}{1048576}\cdot t^{16}+\frac{15043725}{2097152}\cdot t^{14}-\frac{3380195}{4194304}\cdot t^{12}+\frac{8580495}{134217728}\cdot t^{10}-\frac{908523}{268435456}\cdot t^8+\frac{235543}{2147483648}\cdot t^6-\frac{8085}{4294967296}\cdot t^4+\frac{441}{34359738368}\cdot t^2-\frac{1}{68719476736}$

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.