Rule: Q[1, 30]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{31}-\frac{31}{4}\cdot t^{29}+\frac{217}{8}\cdot t^{27}-\frac{3627}{64}\cdot t^{25}+\frac{10075}{128}\cdot t^{23}-\frac{39215}{512}\cdot t^{21}+\frac{54901}{1024}\cdot t^{19}-\frac{447051}{16384}\cdot t^{17}+\frac{330429}{32768}\cdot t^{15}-\frac{350455}{131072}\cdot t^{13}+\frac{130169}{262144}\cdot t^{11}-\frac{130169}{2097152}\cdot t^9+\frac{20553}{4194304}\cdot t^7-\frac{3689}{16777216}\cdot t^5+\frac{155}{33554432}\cdot t^3-\frac{31}{1073741824}\cdot t$

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.