Rule: Q[1, 46]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{47}-\frac{1081}{93}\cdot t^{45}+\frac{178365}{2821}\cdot t^{43}-\frac{7669695}{35867}\cdot t^{41}+\frac{524095825}{1040143}\cdot t^{39}-\frac{1194938481}{1360187}\cdot t^{37}+\frac{132638171391}{112895521}\cdot t^{35}-\frac{73687872995}{59768217}\cdot t^{33}+\frac{1621133205890}{1573896381}\cdot t^{31}-\frac{736878729950}{1066187871}\cdot t^{29}+\frac{29475149198}{78782355}\cdot t^{27}-\frac{34834267234}{213004145}\cdot t^{25}+\frac{174171336170}{3024658859}\cdot t^{23}-\frac{147375745990}{9073976577}\cdot t^{21}+\frac{736878729950}{202652143553}\cdot t^{19}-\frac{1680083504286}{2634477866189}\cdot t^{17}+\frac{4760236595477}{55324035189969}\cdot t^{15}-\frac{1400069586905}{160703149837529}\cdot t^{13}+\frac{1400069586905}{2188035193941741}\cdot t^{11}-\frac{213307000775}{6564105581825223}\cdot t^9+\frac{775661821}{729345064647247}\cdot t^7-\frac{775661821}{38655288426304091}\cdot t^5+\frac{352573555}{1971419709741508641}\cdot t^3-\frac{15329285}{32199855259111307803}\cdot t$

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.