Rule: Q[1, 34]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{35}-\frac{595}{69}\cdot t^{33}+\frac{52360}{1541}\cdot t^{31}-\frac{1623160}{20033}\cdot t^{29}+\frac{23535820}{180297}\cdot t^{27}-\frac{14121492}{94001}\cdot t^{25}+\frac{706074600}{5546059}\cdot t^{23}-\frac{369848600}{4581527}\cdot t^{21}+\frac{176518650}{4581527}\cdot t^{19}-\frac{176518650}{12780049}\cdot t^{17}+\frac{47071640}{12780049}\cdot t^{15}-\frac{9169800}{12780049}\cdot t^{13}+\frac{59603700}{600662303}\cdot t^{11}-\frac{16811300}{1801986909}\cdot t^9+\frac{100867800}{180799353203}\cdot t^7-\frac{20173560}{1058967640189}\cdot t^5+\frac{4202825}{13766579322457}\cdot t^3-\frac{741675}{509363434930909}\cdot t$

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.