Rule: Q[3]

Type

This rule is of Hermite (physicists') 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.

$P_{1}$ :
$8 \cdot t^{3} - 12 \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
1.2247448713915890491 + 2.1324311667380366773e-259j	3.92e-255, 3.92e-255j
2.4315892877501766437e-343 + 3.98420540655388587e-343j	1.4e-342, 1.4e-342j
-1.2247448713915890491 + 0j	3.92e-255, 3.92e-255j

Weights

Weight (ball center)	Error (ball radius)
0.16666666666666666667 - 4.3528068917633215232e-260j	1.46e-31, 5.33e-255j
0.66666666666666666667 + 5.8037425223510953643e-260j	1.53e-31, 4.26e-255j
0.16666666666666666667 - 1.4509356305877738411e-260j	1.09e-31, 3.2e-255j

Download

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