Rule: Q[2]

Type

This rule is of Legendre type.

Polynomials

One starts from the polynomial $P_{1}$ and extends one by one with $P_{i}$ 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.

$P_{1}$ :
$\frac{3}{2} \cdot t^{2} - \frac{1}{2}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.57735026918962576451 - 1.2555220019494671814e-57j	5.73e-57, 5.73e-57j
-0.57735026918962576451 + 1.0181762524671310604e-92j	5.94e-92, 5.94e-92j

Weights

Weight (ball center)	Error (ball radius)
1 + 1.0873139486985340816e-57j	1.61e-31, 1.49e-56j
1 - 1.0873139486985340816e-57j	1.61e-31, 1.49e-56j

Download

All rules of Legendre type can be downloaded here packed into a single file.