Rule: Q[43]

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.

• $P_1$:
  $\frac{414847067813984717066925}{549755813888}\cdot t^{43}-\frac{4407140026306214111899215}{549755813888}\cdot t^{41}+\frac{10885104884250287866739025}{274877906944}\cdot t^{39}-\frac{33192850696417544482525175}{274877906944}\cdot t^{37}+\frac{139914168125405598894694725}{549755813888}\cdot t^{35}-\frac{216230987102899561928164575}{549755813888}\cdot t^{33}+\frac{31713878108425269082797471}{68719476736}\cdot t^{31}-\frac{28859008454829256601762865}{68719476736}\cdot t^{29}+\frac{82512376286342804086730445}{274877906944}\cdot t^{27}-\frac{46637430074889411005543295}{274877906944}\cdot t^{25}+\frac{10441215688408077090793275}{137438953472}\cdot t^{23}-\frac{3694584012821319585973005}{137438953472}\cdot t^{21}+\frac{2052546673789621992207225}{274877906944}\cdot t^{19}-\frac{442604642141267794032075}{274877906944}\cdot t^{17}+\frac{18218593017921434621175}{68719476736}\cdot t^{15}-\frac{2237371072376316532425}{68719476736}\cdot t^{13}+\frac{1586499487685024450265}{549755813888}\cdot t^{11}-\frac{96845140757687397075}{549755813888}\cdot t^9+\frac{1898924328582105825}{274877906944}\cdot t^7-\frac{42832879592077575}{274877906944}\cdot t^5+\frac{911337863661225}{549755813888}\cdot t^3-\frac{2893136075115}{549755813888}\cdot t$

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.