Rule: Q[33]

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.

• $P_1$:
  $\frac{1804857108504066435}{2147483648}\cdot t^{33}-\frac{916312070471295267}{134217728}\cdot t^{31}+\frac{6763255758240512685}{268435456}\cdot t^{29}-\frac{7502409393020896585}{134217728}\cdot t^{27}+\frac{44632977914412452565}{536870912}\cdot t^{25}-\frac{11745520503792750675}{134217728}\cdot t^{23}+\frac{18009798105815551035}{268435456}\cdot t^{21}-\frac{5097112671457231425}{134217728}\cdot t^{19}+\frac{17090318957238952425}{1073741824}\cdot t^{17}-\frac{658810481344812225}{134217728}\cdot t^{15}+\frac{294362129962575675}{268435456}\cdot t^{13}-\frac{23192167815233235}{134217728}\cdot t^{11}+\frac{9888133564634325}{536870912}\cdot t^9-\frac{166966608033225}{134217728}\cdot t^7+\frac{12843585233325}{268435456}\cdot t^5-\frac{115707975075}{134217728}\cdot t^3+\frac{9917826435}{2147483648}\cdot t$

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.