Rule: Q[12, 13]

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.

• $P_1$:
  $2048\cdot t^{12}-6144\cdot t^{10}+6912\cdot t^8-3584\cdot t^6+840\cdot t^4-72\cdot t^2+1$
• $P_2$:
  $2048\cdot t^{25}-13312\cdot t^{23}+38144\cdot t^{21}-63360\cdot t^{19}+67488\cdot t^{17}-48144\cdot t^{15}+23324\cdot t^{13}-7618\cdot t^{11}+\frac{52195}{32}\cdot t^9-\frac{13871}{64}\cdot t^7+\frac{4147}{256}\cdot t^5-\frac{289}{512}\cdot t^3+\frac{3}{512}\cdot t$

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.