Rule: Q[1, 44]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{45}-\frac{990}{89}\cdot t^{43}+\frac{148995}{2581}\cdot t^{41}-\frac{8145060}{43877}\cdot t^{39}+\frac{1508872365}{3641791}\cdot t^{37}-\frac{2481256778}{3641791}\cdot t^{35}+\frac{43421993615}{50770851}\cdot t^{33}-\frac{14178610160}{16923617}\cdot t^{31}+\frac{10988422874}{16923617}\cdot t^{29}-\frac{153837920236}{383407461}\cdot t^{27}+\frac{2999839444602}{15123294295}\cdot t^{25}-\frac{5454253535640}{69567153757}\cdot t^{23}+\frac{4999732407670}{202652143553}\cdot t^{21}-\frac{1242537048060}{202652143553}\cdot t^{19}+\frac{240900039930}{202652143553}\cdot t^{17}-\frac{2184160362032}{12361780756733}\cdot t^{15}+\frac{14333552375835}{729345064647247}\cdot t^{13}-\frac{1153784401770}{729345064647247}\cdot t^{11}+\frac{192297400295}{2188035193941741}\cdot t^9-\frac{121450989660}{38655288426304091}\cdot t^7+\frac{42507846381}{657139903247169547}\cdot t^5-\frac{2891690230}{4599979322730186829}\cdot t^3+\frac{394321395}{216199028168318780963}\cdot t$

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.