Rule: Q[20]

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.

• $P_1$:
  $\frac{34461632205}{262144}\cdot t^{20}-\frac{83945001525}{131072}\cdot t^{18}+\frac{347123925225}{262144}\cdot t^{16}-\frac{49589132175}{32768}\cdot t^{14}+\frac{136745788725}{131072}\cdot t^{12}-\frac{29113619535}{65536}\cdot t^{10}+\frac{15058768725}{131072}\cdot t^8-\frac{557732175}{32768}\cdot t^6+\frac{334639305}{262144}\cdot t^4-\frac{4849845}{131072}\cdot t^2+\frac{46189}{262144}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.