Rule: Q[2, 3, 26]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^5-\frac{25}{14}\cdot t^3+\frac{3}{7}\cdot t$
• $P_3$:
  $\frac{3}{2}\cdot t^{31}-\frac{20697146197629873040075}{1804551112042095458888}\cdot t^{29}+\frac{112399230013858984523571}{2835723176066150006824}\cdot t^{27}-\frac{3075432368891422928964615}{37573332082876487590418}\cdot t^{25}+\frac{143726776269302542809960675}{1277493290817800578074212}\cdot t^{23}-\frac{176441999399865596621199105}{1625900551949928008458088}\cdot t^{21}+\frac{27586647178336887435741375}{365633138476778068887704}\cdot t^{19}-\frac{646080378417678000749355}{16899010601867893940188}\cdot t^{17}+\frac{125604771370896017456462700}{8901553834533913132994029}\cdot t^{15}-\frac{1564211056040719443373029975}{417101379675303358231720216}\cdot t^{13}+\frac{5518460996324793260155815}{7869837352364214306258872}\cdot t^{11}-\frac{15559927373878778914291125}{175372170999843457438336909}\cdot t^9+\frac{55065231028564561496657745}{7716375523993112127286823996}\cdot t^7-\frac{1052949935548556068506075}{3203023802412235222647360904}\cdot t^5+\frac{1214590533356882909282175}{169760261527848466800310127912}\cdot t^3-\frac{27820726207790642577315}{594160915347469633801085447692}\cdot t$

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.