Rule: Q[1, 4]

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.

$P_{1}$ :
$t$
$P_{2}$ :
$t^{5} - 10 \cdot t^{3} + 15 \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
2.8569700138728056542 - 1.5778294212385607916e-388j	7.46e-127, 7.46e-127j
-1.3556261799742658658 + 7.506294097500999255e-388j	5.84e-127, 5.84e-127j
-2.8569700138728056542 + 2.4836243798296210424e-411j	7.46e-127, 7.46e-127j
0 - 5.7620808097444533243e-646j	2.88e-645, 2.88e-645j
1.3556261799742658658 - 6.4825621050129162981e-465j	5.84e-127, 5.84e-127j

Weights

Weight (ball center)	Error (ball radius)
0.011257411327720688933 - 6.3720301182786380829e-390j	1.05e-30, 2.31e-126j
0.2220759220056126444 + 1.1111646589063415703e-388j	7.65e-30, 1.73e-125j
0.011257411327720688933 + 2.5309442976050622219e-389j	4.75e-31, 1.04e-126j
0.53333333333333333333 - 1.8628244615481970143e-388j	3.06e-30, 9.92e-126j
0.2220759220056126444 + 5.622856740641356026e-389j	3.65e-30, 6.55e-126j

Download

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