Rule: Q[32]

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.

• $P_1$:
  $\frac{916312070471295267}{2147483648}\cdot t^{32}-\frac{450883717216034179}{134217728}\cdot t^{30}+\frac{3215318311294669965}{268435456}\cdot t^{28}-\frac{3433305993416342505}{134217728}\cdot t^{26}+\frac{19575867506321251125}{536870912}\cdot t^{24}-\frac{4911763119767877555}{134217728}\cdot t^{22}+\frac{7135957740040123995}{268435456}\cdot t^{20}-\frac{1898924328582105825}{134217728}\cdot t^{18}+\frac{5929294332103310025}{1073741824}\cdot t^{16}-\frac{210258664258982625}{134217728}\cdot t^{14}+\frac{85037948655855195}{268435456}\cdot t^{12}-\frac{5932880138780595}{134217728}\cdot t^{10}+\frac{2170565904431925}{536870912}\cdot t^8-\frac{29968365544425}{134217728}\cdot t^6+\frac{1735619626125}{268435456}\cdot t^4-\frac{9917826435}{134217728}\cdot t^2+\frac{300540195}{2147483648}$

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.