Rule: Q[2, 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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{38}-19\cdot t^{36}+\frac{665}{8}\cdot t^{34}-\frac{3553}{16}\cdot t^{32}+\frac{6479}{16}\cdot t^{30}-\frac{17081}{32}\cdot t^{28}+\frac{1076103}{2048}\cdot t^{26}-\frac{1611675}{4096}\cdot t^{24}+\frac{7413705}{32768}\cdot t^{22}-\frac{6561555}{65536}\cdot t^{20}+\frac{17809935}{524288}\cdot t^{18}-\frac{9174815}{1048576}\cdot t^{16}+\frac{3528775}{2097152}\cdot t^{14}-\frac{988057}{4194304}\cdot t^{12}+\frac{1552661}{67108864}\cdot t^{10}-\frac{202521}{134217728}\cdot t^8+\frac{128877}{2147483648}\cdot t^6-\frac{5415}{4294967296}\cdot t^4+\frac{361}{34359738368}\cdot t^2-\frac{1}{68719476736}$

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.