Rule: Q[42]

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.

• $P_1$:
  $4398046511104\cdot t^{42}-45079976738816\cdot t^{40}+214404767416320\cdot t^{38}-628027297890304\cdot t^{36}+1268132043816960\cdot t^{34}-1872163359424512\cdot t^{32}+2091425734852608\cdot t^{30}-1805099592581120\cdot t^{28}+1218442224992256\cdot t^{26}-647048567193600\cdot t^{24}+270583946280960\cdot t^{22}-88785357373440\cdot t^{20}+22673679974400\cdot t^{18}-4447529533440\cdot t^{16}+657270374400\cdot t^{14}-71204290560\cdot t^{12}+5439216640\cdot t^{10}-276883200\cdot t^8+8614144\cdot t^6-141680\cdot t^4+924\cdot t^2-1$

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.