Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{37}-\frac{37}{4}\cdot t^{35}+\frac{629}{16}\cdot t^{33}-\frac{407}{4}\cdot t^{31}+\frac{5735}{32}\cdot t^{29}-\frac{232841}{1024}\cdot t^{27}+\frac{878787}{4096}\cdot t^{25}-\frac{627705}{4096}\cdot t^{23}+\frac{5476185}{65536}\cdot t^{21}-\frac{9126975}{262144}\cdot t^{19}+\frac{11560835}{1048576}\cdot t^{17}-\frac{1374365}{524288}\cdot t^{15}+\frac{1924111}{4194304}\cdot t^{13}-\frac{1924111}{33554432}\cdot t^{11}+\frac{657305}{134217728}\cdot t^9-\frac{35853}{134217728}\cdot t^7+\frac{35853}{4294967296}\cdot t^5-\frac{2109}{17179869184}\cdot t^3+\frac{37}{68719476736}\cdot t$

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.