Rule: Q[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.

• $P_1$:
  $\frac{7113260368810144185}{4294967296}\cdot t^{34}-\frac{59560284580634192355}{4294967296}\cdot t^{32}+\frac{28405674184610153277}{536870912}\cdot t^{30}-\frac{65378138996324955955}{536870912}\cdot t^{28}+\frac{202565053611564207795}{1073741824}\cdot t^{26}-\frac{223164889572062262825}{1073741824}\cdot t^{24}+\frac{90048990529077755175}{536870912}\cdot t^{22}-\frac{54029394317446653105}{536870912}\cdot t^{20}+\frac{96845140757687397075}{2147483648}\cdot t^{18}-\frac{32281713585895799025}{2147483648}\cdot t^{16}+\frac{1976431444034436675}{536870912}\cdot t^{14}-\frac{347882517228498525}{536870912}\cdot t^{12}+\frac{85037948655855195}{1073741824}\cdot t^{10}-\frac{6845630929362225}{1073741824}\cdot t^8+\frac{166966608033225}{536870912}\cdot t^6-\frac{4281195077775}{536870912}\cdot t^4+\frac{347123925225}{4294967296}\cdot t^2-\frac{583401555}{4294967296}$

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.