Rule: Q[1, 2]

Type

This rule is of Legendre 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.

$P_{1}$ :
$t$
$P_{2}$ :
$t^{3} - \frac{3}{5} \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.77459666924148337704 - 2.1683782415508138716e-151j	8.94e-128, 8.94e-128j
3.1931748581308619604e-200 + 3.2668034258561710824e-200j	1.37e-199, 1.37e-199j
-0.77459666924148337704 + 7.4984840694781547741e-242j	1.34e-127, 1.34e-127j

Weights

Weight (ball center)	Error (ball radius)
0.55555555555555555556 + 2.332803560501340444e-151j	2.55e-30, 3.87e-126j
0.88888888888888888889 - 3.1104047473351205919e-151j	1.75e-30, 2.74e-126j
0.55555555555555555556 + 7.7760118683378014798e-152j	7.69e-31, 1.13e-126j

Download

All rules of Legendre type can be downloaded here packed into a single file.