Rule: Q[25]

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.

• $P_1$:
  $\frac{15801325804719}{4194304}\cdot t^{25}-\frac{24185702762325}{1048576}\cdot t^{23}+\frac{130191123380175}{2097152}\cdot t^{21}-\frac{101259762629025}{1048576}\cdot t^{19}+\frac{402684172315425}{4194304}\cdot t^{17}-\frac{33393321606645}{524288}\cdot t^{15}+\frac{29968365544425}{1048576}\cdot t^{13}-\frac{4512611027925}{524288}\cdot t^{11}+\frac{7091245901025}{4194304}\cdot t^9-\frac{214886239425}{1048576}\cdot t^7+\frac{29113619535}{2097152}\cdot t^5-\frac{456326325}{1048576}\cdot t^3+\frac{16900975}{4194304}\cdot t$

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.