Rule: Q[3, 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.

• $P_1$:
  $4\cdot t^3-3\cdot t$
• $P_2$:
  $4\cdot t^{39}-39\cdot t^{37}+\frac{351}{2}\cdot t^{35}-\frac{7735}{16}\cdot t^{33}+\frac{7293}{8}\cdot t^{31}-\frac{39897}{32}\cdot t^{29}+\frac{81809}{64}\cdot t^{27}-\frac{4102137}{4096}\cdot t^{25}+\frac{9924525}{16384}\cdot t^{23}-\frac{18599295}{65536}\cdot t^{21}+\frac{13468455}{131072}\cdot t^{19}-\frac{29910465}{1048576}\cdot t^{17}+\frac{6277505}{1048576}\cdot t^{15}-\frac{3900225}{4194304}\cdot t^{13}+\frac{869193}{8388608}\cdot t^{11}-\frac{1062347}{134217728}\cdot t^9+\frac{415701}{1073741824}\cdot t^7-\frac{46683}{4294967296}\cdot t^5+\frac{1235}{8589934592}\cdot t^3-\frac{39}{68719476736}\cdot t$

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.