Rule: Q[37]

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.

• $P_1$:
  $\frac{218266320541953276229}{17179869184}\cdot t^{37}-\frac{995653215622882753209}{8589934592}\cdot t^{35}+\frac{8343854412614299129005}{17179869184}\cdot t^{33}-\frac{1330179688967496962595}{1073741824}\cdot t^{31}+\frac{9231844109998299815025}{4294967296}\cdot t^{29}-\frac{5766351859475861115231}{2147483648}\cdot t^{27}+\frac{10708939167598027785429}{4294967296}\cdot t^{25}-\frac{1880961212107381929525}{1073741824}\cdot t^{23}+\frac{8065816723104536070675}{8589934592}\cdot t^{21}-\frac{1650898159699758844875}{4294967296}\cdot t^{19}+\frac{1026558492031486408995}{8589934592}\cdot t^{17}-\frac{29933952597830650005}{1073741824}\cdot t^{15}+\frac{20542908645570053925}{4294967296}\cdot t^{13}-\frac{1257729100749186975}{2147483648}\cdot t^{11}+\frac{210258664258982625}{4294967296}\cdot t^9-\frac{2803448856786435}{1073741824}\cdot t^7+\frac{1369126185872445}{17179869184}\cdot t^5-\frac{9821565178425}{8589934592}\cdot t^3+\frac{83945001525}{17179869184}\cdot t$

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.