Rule: Q[6]

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.

$P_{1}$ :
$64 \cdot t^{6} - 480 \cdot t^{4} + 720 \cdot t^{2} - 120$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
2.3506049736744922228 + 2.4703282292062327209e-324j	1.02e-126, 1.02e-126j
-2.3506049736744922228 + 0j	1.02e-126, 1.02e-126j
-0.43607741192761650868 - 1.2981251827368519865e-369j	2.53e-127, 2.53e-127j
-1.3358490740136969497 - 5.4615477693012502677e-399j	7.01e-127, 7.01e-127j
1.3358490740136969497 + 1.7615387430722515327e-443j	7.01e-127, 7.01e-127j
0.43607741192761650868 - 9.1839102023501667631e-443j	2.15e-127, 2.15e-127j

Weights

Weight (ball center)	Error (ball radius)
0.0025557844020562464306 - 1.4840841514722676092e-326j	2.18e-31, 1.74e-126j
0.0025557844020562464306 + 1.3429790260111178106e-327j	1.12e-31, 9.06e-127j
0.40882846955602922609 + 2.8654963656085833374e-326j	3.89e-30, 2.4e-125j
0.088615746041914527481 - 1.0084709517628085969e-326j	1.11e-30, 8.74e-126j
0.088615746041914527481 + 3.6636217866234472286e-326j	6.48e-31, 4.58e-126j
0.40882846955602922609 - 4.1708609515980661409e-326j	2.15e-30, 1.16e-125j

Download

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