Rule: Q[10, 11]

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.

• $P_1$:
  $\frac{46189}{256}\cdot t^{10}-\frac{109395}{256}\cdot t^8+\frac{45045}{128}\cdot t^6-\frac{15015}{128}\cdot t^4+\frac{3465}{256}\cdot t^2-\frac{63}{256}$
• $P_2$:
  $\frac{46189}{256}\cdot t^{21}-\frac{5564559}{5888}\cdot t^{19}+\frac{7182734559}{3385600}\cdot t^{17}-\frac{1868043574397}{700819200}\cdot t^{15}+\frac{3999135573000799}{1947693360000}\cdot t^{13}-\frac{1386904017410797067}{1388705365680000}\cdot t^{11}+\frac{169127380099602067}{555482146272000}\cdot t^9-\frac{10331316242730483}{185160715424000}\cdot t^7+\frac{1040693653902903}{185160715424000}\cdot t^5-\frac{240347637420891}{925803577120000}\cdot t^3+\frac{1635000786573}{462901788560000}\cdot t$

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.