Rule: Q[3, 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.

• $P_1$:
  $4\cdot t^3-3\cdot t$
• $P_2$:
  $4\cdot t^7-8\cdot t^5+\frac{19}{4}\cdot t^3-\frac{3}{4}\cdot t$
• $P_3$:
  $4\cdot t^{31}-32\cdot t^{29}+\frac{463}{4}\cdot t^{27}-\frac{1001}{4}\cdot t^{25}+\frac{11525}{32}\cdot t^{23}-\frac{5819}{16}\cdot t^{21}+\frac{270963}{1024}\cdot t^{19}-\frac{143583}{1024}\cdot t^{17}+\frac{442833}{8192}\cdot t^{15}-\frac{30685}{2048}\cdot t^{13}+\frac{382109}{131072}\cdot t^{11}-\frac{50167}{131072}\cdot t^9+\frac{33371}{1048576}\cdot t^7-\frac{791}{524288}\cdot t^5+\frac{2255}{67108864}\cdot t^3-\frac{15}{67108864}\cdot t$

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.