Rule: Q[1, 32]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{33}-\frac{528}{65}\cdot t^{31}+\frac{2728}{91}\cdot t^{29}-\frac{158224}{2379}\cdot t^{27}+\frac{356004}{3599}\cdot t^{25}-\frac{7120080}{68381}\cdot t^{23}+\frac{5458728}{68381}\cdot t^{21}-\frac{163761840}{3624193}\cdot t^{19}+\frac{61410690}{3242699}\cdot t^{17}-\frac{54587280}{9346603}\cdot t^{15}+\frac{81880920}{62755763}\cdot t^{13}-\frac{12902448}{62755763}\cdot t^{11}+\frac{59136220}{2698497809}\cdot t^9-\frac{163761840}{110638410169}\cdot t^7+\frac{81880920}{1438299332197}\cdot t^5-\frac{54587280}{53217075291289}\cdot t^3+\frac{2047023}{372519527039023}\cdot t$

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.