Rule: Q[16, 17]

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.

• $P_1$:
  $32768\cdot t^{16}-131072\cdot t^{14}+212992\cdot t^{12}-180224\cdot t^{10}+84480\cdot t^8-21504\cdot t^6+2688\cdot t^4-128\cdot t^2+1$
• $P_2$:
  $32768\cdot t^{33}-278528\cdot t^{31}+1077248\cdot t^{29}-2508800\cdot t^{27}+3923712\cdot t^{25}-4351360\cdot t^{23}+3521760\cdot t^{21}-2109008\cdot t^{19}+937365\cdot t^{17}-\frac{614669}{2}\cdot t^{15}+\frac{585599}{8}\cdot t^{13}-\frac{197353}{16}\cdot t^{11}+\frac{180557}{128}\cdot t^9-\frac{26265}{256}\cdot t^7+\frac{4369}{1024}\cdot t^5-\frac{171}{2048}\cdot t^3+\frac{1}{2048}\cdot t$

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.