Rule: Q[40]

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.

• $P_1$:
  $1099511627776\cdot t^{40}-10720238370816\cdot t^{38}+48309792145408\cdot t^{36}-133487583559680\cdot t^{34}+252995048570880\cdot t^{32}-348570955808768\cdot t^{30}+361019918516224\cdot t^{28}-286692288233472\cdot t^{26}+176467791052800\cdot t^{24}-84557483212800\cdot t^{22}+31504481648640\cdot t^{20}-9069471989760\cdot t^{18}+1993720135680\cdot t^{16}-328635187200\cdot t^{14}+39557939200\cdot t^{12}-3347210240\cdot t^{10}+188280576\cdot t^8-6460608\cdot t^6+117040\cdot t^4-840\cdot t^2+1$

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.