Rule: Q[28]

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.

• $P_1$:
  $\frac{956086325095055}{33554432}\cdot t^{28}-\frac{3285460280781189}{16777216}\cdot t^{26}+\frac{20146690401016725}{33554432}\cdot t^{24}-\frac{9085762337713425}{8388608}\cdot t^{22}+\frac{42832879592077575}{33554432}\cdot t^{20}-\frac{17315419409563275}{16777216}\cdot t^{18}+\frac{19624141997505045}{33554432}\cdot t^{16}-\frac{977947275623175}{4194304}\cdot t^{14}+\frac{2170565904431925}{33554432}\cdot t^{12}-\frac{204070298707275}{16777216}\cdot t^{10}+\frac{49638721307175}{33554432}\cdot t^8-\frac{902522205585}{8388608}\cdot t^6+\frac{136745788725}{33554432}\cdot t^4-\frac{1017958725}{16777216}\cdot t^2+\frac{5014575}{33554432}$

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.