Rule: Q[1, 24]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{25}-\frac{300}{49}\cdot t^{23}+\frac{37950}{2303}\cdot t^{21}-\frac{25300}{987}\cdot t^{19}+\frac{360525}{14147}\cdot t^{17}-\frac{9806280}{580027}\cdot t^{15}+\frac{8171900}{1077193}\cdot t^{13}-\frac{49031400}{21460999}\cdot t^{11}+\frac{67418175}{150226993}\cdot t^9-\frac{8171900}{150226993}\cdot t^7+\frac{2451570}{665290969}\cdot t^5-\frac{2228700}{19293438101}\cdot t^3+\frac{185725}{173640942909}\cdot t$

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.