Rule: Q[2, 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.

$P_{1}$ :
$4 \cdot t^{2} - 2$
$P_{2}$ :
$4 \cdot t^{5} - 14 \cdot t^{3} + 6 \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
1.7320508075688772935 - 3.5221018286841338275e-133j	2.08e-63, 2.08e-63j
-0.7071067811865475244 - 6.4066659045859229582e-145j	2.81e-63, 2.81e-63j
-1.7320508075688772935 + 1.3336552496910464901e-161j	2.08e-63, 2.08e-63j
-1.2338789709326766683e-178 + 9.8710317674614133463e-178j	4.97e-177, 4.97e-177j
0.7071067811865475244 + 0j	1.14e-63, 1.14e-63j

Weights

Weight (ball center)	Error (ball radius)
0.033333333333333333333 + 2.6435323705765884781e-134j	1.49e-30, 1.95e-62j
0.3 - 2.8879657837259655288e-134j	1.58e-29, 1.91e-61j
0.033333333333333333333 + 3.3891440648088426533e-135j	9.12e-31, 1.22e-62j
0.33333333333333333333 + 6.7782881297254947467e-134j	1.06e-29, 1.33e-61j
0.3 - 6.8727691230570019613e-134j	4.69e-30, 5.39e-62j

Download

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