Rule: Q[30]

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.

• $P_1$:
  $\frac{7391536347803839}{67108864}\cdot t^{30}-\frac{54496920530418135}{67108864}\cdot t^{28}+\frac{180700315442965395}{67108864}\cdot t^{26}-\frac{355924863751295475}{67108864}\cdot t^{24}+\frac{463373879223384675}{67108864}\cdot t^{22}-\frac{419762220002360235}{67108864}\cdot t^{20}+\frac{271274904083157975}{67108864}\cdot t^{18}-\frac{126155198555389575}{67108864}\cdot t^{16}+\frac{42051732851796525}{67108864}\cdot t^{14}-\frac{9888133564634325}{67108864}\cdot t^{12}+\frac{1591748329916745}{67108864}\cdot t^{10}-\frac{166966608033225}{67108864}\cdot t^8+\frac{10529425731825}{67108864}\cdot t^6-\frac{347123925225}{67108864}\cdot t^4+\frac{4508102925}{67108864}\cdot t^2-\frac{9694845}{67108864}$

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.