Rule: Q[2, 27]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{29}-\frac{1794129631}{172015250}\cdot t^{27}+\frac{147734260128}{4558404125}\cdot t^{25}-\frac{184044860181}{3099714805}\cdot t^{23}+\frac{40158635283}{563584510}\cdot t^{21}-\frac{311833776969}{5297694394}\cdot t^{19}+\frac{2266818889023}{66221179925}\cdot t^{17}-\frac{16519629682998}{1172504421025}\cdot t^{15}+\frac{11178531190359}{2747010357830}\cdot t^{13}-\frac{2214964470771}{2747010357830}\cdot t^{11}+\frac{1070195994582}{10163938323971}\cdot t^9-\frac{2155702278483}{254098458099275}\cdot t^7+\frac{2111255634267}{5590166078184050}\cdot t^5-\frac{262696196457}{34659029684741110}\cdot t^3+\frac{5187512943}{121306603896593885}\cdot t$

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.