Rule: Q[1, 28]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{29}-\frac{406}{57}\cdot t^{27}+\frac{23751}{1045}\cdot t^{25}-\frac{475020}{11077}\cdot t^{23}+\frac{910455}{17119}\cdot t^{21}-\frac{780390}{17119}\cdot t^{19}+\frac{1170585}{42347}\cdot t^{17}-\frac{208104}{17437}\cdot t^{15}+\frac{390195}{107113}\cdot t^{13}-\frac{3381690}{4391633}\cdot t^{11}+\frac{476905}{4391633}\cdot t^9-\frac{1560780}{162490421}\cdot t^7+\frac{78039}{162490421}\cdot t^5-\frac{20010}{1787394631}\cdot t^3+\frac{30015}{387864634927}\cdot t$

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.