Rule: Q[35]

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.

• $P_1$:
  $\frac{14023284727082855679}{4294967296}\cdot t^{35}-\frac{120925426269772451145}{4294967296}\cdot t^{33}+\frac{59560284580634192355}{536870912}\cdot t^{31}-\frac{142028370923050766385}{536870912}\cdot t^{29}+\frac{457646972974274691685}{1073741824}\cdot t^{27}-\frac{526669139390066940267}{1073741824}\cdot t^{25}+\frac{223164889572062262825}{536870912}\cdot t^{23}-\frac{141505556545693615275}{536870912}\cdot t^{21}+\frac{270146971587233265525}{2147483648}\cdot t^{19}-\frac{96845140757687397075}{2147483648}\cdot t^{17}+\frac{6456342717179159805}{536870912}\cdot t^{15}-\frac{1257729100749186975}{536870912}\cdot t^{13}+\frac{347882517228498525}{1073741824}\cdot t^{11}-\frac{32706903329175075}{1073741824}\cdot t^9+\frac{977947275623175}{536870912}\cdot t^7-\frac{33393321606645}{536870912}\cdot t^5+\frac{4281195077775}{4294967296}\cdot t^3-\frac{20419054425}{4294967296}\cdot t$

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.