Rule: Q[29]

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.

• $P_1$:
  $\frac{1879204156221315}{33554432}\cdot t^{29}-\frac{6692604275665385}{16777216}\cdot t^{27}+\frac{42710983650155457}{33554432}\cdot t^{25}-\frac{20146690401016725}{8388608}\cdot t^{23}+\frac{99943385714847675}{33554432}\cdot t^{21}-\frac{42832879592077575}{16777216}\cdot t^{19}+\frac{51946258228689825}{33554432}\cdot t^{17}-\frac{2803448856786435}{4194304}\cdot t^{15}+\frac{6845630929362225}{33554432}\cdot t^{13}-\frac{723521968143975}{16777216}\cdot t^{11}+\frac{204070298707275}{33554432}\cdot t^9-\frac{4512611027925}{8388608}\cdot t^7+\frac{902522205585}{33554432}\cdot t^5-\frac{10518906825}{16777216}\cdot t^3+\frac{145422675}{33554432}\cdot t$

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.