Rule: Q[1, 38]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{39}-\frac{741}{77}\cdot t^{37}+\frac{82251}{1925}\cdot t^{35}-\frac{466089}{4015}\cdot t^{33}+\frac{5593068}{25915}\cdot t^{31}-\frac{173385108}{596045}\cdot t^{29}+\frac{11732392308}{39935015}\cdot t^{27}-\frac{45253513188}{199675075}\cdot t^{25}+\frac{7542252198}{55909021}\cdot t^{23}-\frac{9218308242}{148280447}\cdot t^{21}+\frac{27654924726}{1249792339}\cdot t^{19}-\frac{7542252198}{1249792339}\cdot t^{17}+\frac{85478858244}{68738578645}\cdot t^{15}-\frac{138081232548}{728628933637}\cdot t^{13}+\frac{15084504396}{728628933637}\cdot t^{11}-\frac{5028168132}{3245710704383}\cdot t^9+\frac{11313378297}{152548403106001}\cdot t^7-\frac{221830947}{108963145075715}\cdot t^5+\frac{24647883}{937083047651149}\cdot t^3-\frac{3891771}{38420404953697109}\cdot t$

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.