Rule: Q[48]

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.

• $P_1$:
  $140737488355328\cdot t^{48}-1688849860263936\cdot t^{46}+9499780463984640\cdot t^{44}-33284415996035072\cdot t^{42}+81414437990301696\cdot t^{40}-147682003796361216\cdot t^{38}+205992953708019712\cdot t^{36}-226089827240509440\cdot t^{34}+198181864190509056\cdot t^{32}-140025932533465088\cdot t^{30}+80146421910601728\cdot t^{28}-37217871599763456\cdot t^{26}+13999778090188800\cdot t^{24}-4246086541639680\cdot t^{22}+1030300410839040\cdot t^{20}-197734422282240\cdot t^{18}+29544303329280\cdot t^{16}-3363677798400\cdot t^{14}+283420999680\cdot t^{12}-16974397440\cdot t^{10}+682007040\cdot t^8-16839680\cdot t^6+220800\cdot t^4-1152\cdot t^2+1$

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.