Rule: Q[6]

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.

$P_{1}$ :
$t^{6} - 15 \cdot t^{4} + 45 \cdot t^{2} - 15$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
3.3242574335521189524 + 5.3743008860536710014e-138j	8.32e-63, 8.32e-63j
-3.3242574335521189524 - 1.6016664761464807395e-145j	8.32e-63, 8.32e-63j
0.61670659019259415219 + 5.8268286962501615182e-157j	1.5e-63, 1.5e-63j
-1.8891758777537106755 + 3.2345396895617559253e-173j	8.19e-63, 8.19e-63j
1.8891758777537106755 + 3.6772458879133363613e-186j	8.19e-63, 8.19e-63j
-0.61670659019259415219 - 6.8494042156512594992e-195j	1.5e-63, 1.5e-63j

Weights

Weight (ball center)	Error (ball radius)
0.0025557844020562464306 - 2.2830259308504289452e-140j	1.97e-31, 9.95e-63j
0.0025557844020562464306 + 2.0659576051908489137e-141j	9.99e-32, 5.11e-63j
0.40882846955602922609 - 6.4162018897222136561e-140j	3.84e-30, 1.45e-61j
0.088615746041914527481 - 1.5513709839419546258e-140j	9.69e-31, 4.75e-62j
0.088615746041914527481 + 5.6358957039825374602e-140j	6.3e-31, 2.84e-62j
0.40882846955602922609 + 4.4081073400129748755e-140j	2.25e-30, 7.38e-62j

Download

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