Rule: Q[1, 2, 28]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{5}\cdot t$
• $P_3$:
  $t^{31}-\frac{41516085547333}{5521069573305}\cdot t^{29}+\frac{8022287302181173}{314700965678385}\cdot t^{27}-\frac{7616809238253747}{147936351387275}\cdot t^{25}+\frac{21633993522978963}{313625064941023}\cdot t^{23}-\frac{590696685053489}{9145156267577}\cdot t^{21}+\frac{21029803724120541}{484693282181581}\cdot t^{19}-\frac{10428098112492579}{493696872562663}\cdot t^{17}+\frac{18365233589740313}{2468484362813315}\cdot t^{15}-\frac{5677649507516733}{3032709360027787}\cdot t^{13}+\frac{40821724983936221}{124341083761139267}\cdot t^{11}-\frac{1306216217106361}{33911204662128891}\cdot t^9+\frac{13036093320979857}{4600620099162152879}\cdot t^7-\frac{2700878827797633}{23003100495810764395}\cdot t^5+\frac{10371523186599629}{4605220719261315031879}\cdot t^3-\frac{58317665286513}{4605220719261315031879}\cdot t$

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.