Rule: Q[1, 2]

Type

This rule is of Hermite (probabilists') 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.

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

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
-1.7320508075688772935 - 3.042210512962265822e-39j	1.44e-38, 1.44e-38j
3.363654055173458713e-52 - 4.649113003389179817e-52j	1.72e-51, 1.72e-51j
1.7320508075688772935 + 9.2160645636326305332e-69j	2.91e-68, 2.91e-68j

Weights

Weight (ball center)	Error (ball radius)
0.16666666666666666667 - 4.3910526464765788559e-40j	1.34e-31, 8.99e-39j
0.66666666666666666667 + 5.854736861967578845e-40j	1.53e-31, 8.3e-39j
0.16666666666666666667 - 1.463684215490999989e-40j	9.54e-32, 6.23e-39j

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.