Rule: Q[2, 3]

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.

$P_{1}$ :
$t^{2} - 1$
$P_{2}$ :
$t^{5} - 7 \cdot t^{3} + 6 \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
2.4494897427831780982 + 0j	4.27e-63, 4.27e-63j
-1 - 3.0549363634996046821e-151j	2.51e-63, 2.51e-63j
-2.4494897427831780982 + 2.1197879309511923632e-168j	4.27e-63, 4.27e-63j
-1.1296499367669769302e-182 - 3.765499789223256434e-183j	5.95e-182, 5.95e-182j
1 + 0j	0, 0j

Weights

Weight (ball center)	Error (ball radius)
0.033333333333333333333 + 4.4280989237480194734e-153j	7.13e-30, 7.13e-62j
0.3 - 1.008128999954869548e-151j	9.21e-29, 9.31e-61j
0.033333333333333333333 - 1.0537971650747228711e-152j	3.95e-30, 3.95e-62j
0.33333333333333333333 + 1.5274681817498023439e-151j	4.82e-29, 4.91e-61j
0.3 - 4.5824045452494070354e-152j	2.17e-29, 1.95e-61j

Download

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