Rule: Q[1, 2]

Type

This rule is of Chebyshev T (first kind) 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.

$P_{1}$ :
$t$
$P_{2}$ :
$t^{3} - \frac{3}{4} \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.86602540378443864676 + 7.5961064351133620488e-141j	4e-128, 4e-128j
-1.7986349521203652846e-186 - 2.3933858096715933679e-186j	8.98e-186, 8.98e-186j
-0.86602540378443864676 + 0j	4e-128, 4e-128j

Weights

Weight (ball center)	Error (ball radius)
0.33333333333333333333 - 4.3856140951057481144e-141j	1.22e-30, 7.85e-127j
0.33333333333333333333 + 5.8474854601409974859e-141j	8.46e-31, 5.54e-127j
0.33333333333333333333 - 1.4618713650352493715e-141j	3.78e-31, 2.31e-127j

Download

All rules of Chebyshev T (first kind) type can be downloaded here packed into a single file.