Rule: Q[17, 18]

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.

• $P_1$:
  $65536\cdot t^{17}-278528\cdot t^{15}+487424\cdot t^{13}-452608\cdot t^{11}+239360\cdot t^9-71808\cdot t^7+11424\cdot t^5-816\cdot t^3+17\cdot t$
• $P_2$:
  $65536\cdot t^{35}-589824\cdot t^{33}+2428928\cdot t^{31}-6062080\cdot t^{29}+10237696\cdot t^{27}-12370176\cdot t^{25}+11026080\cdot t^{23}-7367360\cdot t^{21}+3712775\cdot t^{19}-1408451\cdot t^{17}+\frac{3187041}{8}\cdot t^{15}-\frac{165053}{2}\cdot t^{13}+\frac{1557829}{128}\cdot t^{11}-\frac{156655}{128}\cdot t^9+\frac{80427}{1024}\cdot t^7-\frac{1479}{512}\cdot t^5+\frac{3281}{65536}\cdot t^3-\frac{17}{65536}\cdot t$

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.