Rule: Q[30]

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.

• $P_1$:
  $1073741824\cdot t^{30}-7784628224\cdot t^{28}+25367150592\cdot t^{26}-49073356800\cdot t^{24}+62704844800\cdot t^{22}-55710842880\cdot t^{20}+35283533824\cdot t^{18}-16066609152\cdot t^{16}+5239111680\cdot t^{14}-1203937280\cdot t^{12}+189190144\cdot t^{10}-19348992\cdot t^8+1188096\cdot t^6-38080\cdot t^4+480\cdot t^2-1$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.