Rule: Q[16, 34]

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.

• $P_1$:
  $65536\cdot t^{16}-245760\cdot t^{14}+372736\cdot t^{12}-292864\cdot t^{10}+126720\cdot t^8-29568\cdot t^6+3360\cdot t^4-144\cdot t^2+1$
• $P_2$:
  $65536\cdot t^{50}-802816\cdot t^{48}+4620288\cdot t^{46}-16604160\cdot t^{44}+41775360\cdot t^{42}-78192576\cdot t^{40}+112944832\cdot t^{38}-128896456\cdot t^{36}+118030185\cdot t^{34}-\frac{350343565}{4}\cdot t^{32}+52978783\cdot t^{30}-\frac{419014011}{16}\cdot t^{28}+\frac{676868787}{64}\cdot t^{26}-\frac{890616825}{256}\cdot t^{24}+\frac{237268575}{256}\cdot t^{22}-\frac{405992895}{2048}\cdot t^{20}+\frac{1101980715}{32768}\cdot t^{18}-\frac{583401555}{131072}\cdot t^{16}+\frac{29464725}{65536}\cdot t^{14}-\frac{141120525}{4194304}\cdot t^{12}+\frac{30045015}{16777216}\cdot t^{10}-\frac{4292145}{67108864}\cdot t^8+\frac{94185}{67108864}\cdot t^6-\frac{8775}{536870912}\cdot t^4+\frac{325}{4294967296}\cdot t^2-\frac{1}{17179869184}$

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.