Rule: Q[39]

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.

• $P_1$:
  $\frac{1701063429324939500975}{34359738368}\cdot t^{39}-\frac{16369974040646495717175}{34359738368}\cdot t^{37}+\frac{72682684740470440984257}{34359738368}\cdot t^{35}-\frac{197471221098538412719785}{34359738368}\cdot t^{33}+\frac{91782398538757290419055}{8589934592}\cdot t^{31}-\frac{123706711073977217521335}{8589934592}\cdot t^{29}+\frac{124937623621976990830005}{8589934592}\cdot t^{27}-\frac{96380452508382250068861}{8589934592}\cdot t^{25}+\frac{114738633938550297701025}{17179869184}\cdot t^{23}-\frac{52875909629240847574425}{17179869184}\cdot t^{21}+\frac{18820239020577250831575}{17179869184}\cdot t^{19}-\frac{5132792460157432044975}{17179869184}\cdot t^{17}+\frac{528833162561674816755}{8589934592}\cdot t^{15}-\frac{80591410840313288475}{8589934592}\cdot t^{13}+\frac{8804103705244308825}{8589934592}\cdot t^{11}-\frac{658810481344812225}{8589934592}\cdot t^9+\frac{126155198555389575}{34359738368}\cdot t^7-\frac{3463083881912655}{34359738368}\cdot t^5+\frac{44742685812825}{34359738368}\cdot t^3-\frac{172308161025}{34359738368}\cdot t$

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.