Rule: Q[13, 14]

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.

• $P_1$:
  $\frac{1300075}{1024}\cdot t^{13}-\frac{2028117}{512}\cdot t^{11}+\frac{4849845}{1024}\cdot t^9-\frac{692835}{256}\cdot t^7+\frac{765765}{1024}\cdot t^5-\frac{45045}{512}\cdot t^3+\frac{3003}{1024}\cdot t$
• $P_2$:
  $\frac{1300075}{1024}\cdot t^{27}-\frac{254138661}{29696}\cdot t^{25}+\frac{342234060525}{13348352}\cdot t^{23}-\frac{191546556996825}{4258124288}\cdot t^{21}+\frac{392526224778858975}{7656107469824}\cdot t^{19}-\frac{326923139102486653125}{8215003315121152}\cdot t^{17}+\frac{5662708032889744696813275}{264024045295507484416}\cdot t^{15}-\frac{2521402534262155454351461125}{313924589856358398970624}\cdot t^{13}+\frac{198785689618533690764959875}{96592181494264122760192}\cdot t^{11}-\frac{3063482736384270216666195}{8781107408569465705472}\cdot t^9+\frac{161961907216514751831735}{4390553704284732852736}\cdot t^7-\frac{9649063285804265925861}{4390553704284732852736}\cdot t^5+\frac{535269662321333712255}{8781107408569465705472}\cdot t^3-\frac{4403629433748257685}{8781107408569465705472}\cdot t$

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.