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.

• $P_1$:
  $549755813888\cdot t^{40}-5497558138880\cdot t^{38}+25426206392320\cdot t^{36}-72155450572800\cdot t^{34}+140552804761600\cdot t^{32}-199183403319296\cdot t^{30}+212364657950720\cdot t^{28}-173752901959680\cdot t^{26}+110292369408000\cdot t^{24}-54553214976000\cdot t^{22}+21002987765760\cdot t^{20}-6254808268800\cdot t^{18}+1424085811200\cdot t^{16}-243433472000\cdot t^{14}+30429184000\cdot t^{12}-2677768192\cdot t^{10}+156900480\cdot t^8-5617920\cdot t^6+106400\cdot t^4-800\cdot t^2+1$

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.