Rule: Q[1, 50]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{51}-\frac{1275}{101}\cdot t^{49}+\frac{83300}{1111}\cdot t^{47}-\frac{90047300}{323301}\cdot t^{45}+\frac{135070950}{186143}\cdot t^{43}-\frac{8131271190}{5770433}\cdot t^{41}+\frac{158753389900}{75015629}\cdot t^{39}-\frac{68037167100}{27029923}\cdot t^{37}+\frac{1888031387025}{783867767}\cdot t^{35}-\frac{1468468856575}{783867767}\cdot t^{33}+\frac{77535155627160}{65061024661}\cdot t^{31}-\frac{11747750852600}{18888684579}\cdot t^{29}+\frac{41117127984100}{154366146387}\cdot t^{27}-\frac{5873875426300}{62889911491}\cdot t^{25}+\frac{1678250121800}{62889911491}\cdot t^{23}-\frac{7719950560280}{1252080965139}\cdot t^{21}+\frac{33774783701225}{29632582841623}\cdot t^{19}-\frac{4923689695575}{29632582841623}\cdot t^{17}+\frac{111603633099700}{5956149151166223}\cdot t^{15}-\frac{41117127984100}{25809979655053633}\cdot t^{13}+\frac{587387542630}{5956149151166223}\cdot t^{11}-\frac{4615187834950}{1089975294663418809}\cdot t^9+\frac{839125060900}{7145393598349078859}\cdot t^7-\frac{255385888100}{135762478368632498321}\cdot t^5+\frac{63846472025}{4480161786164872444593}\cdot t^3-\frac{2553858881}{79149524888912746521143}\cdot t$

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.