Rule: Q[47]

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.

• $P_1$:
  $\frac{50803160635786570329644235}{4398046511104}\cdot t^{47}-\frac{590518458572960027165004495}{4398046511104}\cdot t^{45}+\frac{3212160846083683664249200275}{4398046511104}\cdot t^{43}-\frac{10863600164844817785831564975}{4398046511104}\cdot t^{41}+\frac{25598138319461926966614607125}{4398046511104}\cdot t^{39}-\frac{44631107046403030311203350305}{4398046511104}\cdot t^{37}+\frac{59687384122298028488476769685}{4398046511104}\cdot t^{35}-\frac{62634909264139906438525005225}{4398046511104}\cdot t^{33}+\frac{26163949439450846993307913575}{2199023255552}\cdot t^{31}-\frac{17555896810021131099405742875}{2199023255552}\cdot t^{29}+\frac{9503592139824772301811642143}{2199023255552}\cdot t^{27}-\frac{4154123089761513173021029131}{2199023255552}\cdot t^{25}+\frac{1462719397803349708810221525}{2199023255552}\cdot t^{23}-\frac{412561881431714020433652225}{2199023255552}\cdot t^{21}+\frac{92364600320532989649325125}{2199023255552}\cdot t^{19}-\frac{16199329902370401261573945}{2199023255552}\cdot t^{17}+\frac{4371247751433282880107255}{4398046511104}\cdot t^{15}-\frac{442604642141267794032075}{4398046511104}\cdot t^{13}+\frac{32507685580997069618175}{4398046511104}\cdot t^{11}-\frac{1650898159699758844875}{4398046511104}\cdot t^9+\frac{54029394317446653105}{4398046511104}\cdot t^7-\frac{1019422534291446285}{4398046511104}\cdot t^5+\frac{9085762337713425}{4398046511104}\cdot t^3-\frac{24185702762325}{4398046511104}\cdot t$

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.