Rule: Q[1, 10, 12]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{11}-\frac{11}{4}\cdot t^9+\frac{11}{4}\cdot t^7-\frac{77}{64}\cdot t^5+\frac{55}{256}\cdot t^3-\frac{11}{1024}\cdot t$
• $P_3$:
  $t^{23}-6\cdot t^{21}+\frac{251}{16}\cdot t^{19}-\frac{375}{16}\cdot t^{17}+\frac{1411}{64}\cdot t^{15}-\frac{217}{16}\cdot t^{13}+\frac{22477}{4096}\cdot t^{11}-\frac{5863}{4096}\cdot t^9+\frac{15015}{65536}\cdot t^7-\frac{671}{32768}\cdot t^5+\frac{891}{1048576}\cdot t^3-\frac{11}{1048576}\cdot t$

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.