Rule: Q[9, 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.

• $P_1$:
  $256\cdot t^9-576\cdot t^7+432\cdot t^5-120\cdot t^3+9\cdot t$
• $P_2$:
  $256\cdot t^{27}-1728\cdot t^{25}+5184\cdot t^{23}-9108\cdot t^{21}+10395\cdot t^{19}-\frac{32319}{4}\cdot t^{17}+\frac{8721}{2}\cdot t^{15}-\frac{26163}{16}\cdot t^{13}+\frac{53703}{128}\cdot t^{11}-\frac{36465}{512}\cdot t^9+\frac{3861}{512}\cdot t^7-\frac{7371}{16384}\cdot t^5+\frac{819}{65536}\cdot t^3-\frac{27}{262144}\cdot t$

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.