Rule: Q[2, 28]

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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{30}-15\cdot t^{28}+\frac{405}{8}\cdot t^{26}-\frac{1625}{16}\cdot t^{24}+\frac{8625}{64}\cdot t^{22}-\frac{15939}{128}\cdot t^{20}+\frac{168245}{2048}\cdot t^{18}-\frac{159885}{4096}\cdot t^{16}+\frac{218025}{16384}\cdot t^{14}-\frac{104975}{32768}\cdot t^{12}+\frac{138567}{262144}\cdot t^{10}-\frac{29835}{524288}\cdot t^8+\frac{7735}{2097152}\cdot t^6-\frac{525}{4194304}\cdot t^4+\frac{225}{134217728}\cdot t^2-\frac{1}{268435456}$

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.