Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{31}-\frac{465}{61}\cdot t^{29}+\frac{94395}{3599}\cdot t^{27}-\frac{3681405}{68381}\cdot t^{25}+\frac{55221075}{752191}\cdot t^{23}-\frac{254016945}{3624193}\cdot t^{21}+\frac{2963531025}{61611281}\cdot t^{19}-\frac{544322025}{22698893}\cdot t^{17}+\frac{544322025}{62755763}\cdot t^{15}-\frac{20160075}{8965109}\cdot t^{13}+\frac{157248585}{385499687}\cdot t^{11}-\frac{786242925}{15805487167}\cdot t^9+\frac{60480225}{15805487167}\cdot t^7-\frac{97698825}{584803025179}\cdot t^5+\frac{13956975}{4093621176253}\cdot t^3-\frac{930465}{45029832938783}\cdot t$

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.