Rule: Q[4]

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.

$P_{1}$ :
$8 \cdot t^{4} - 8 \cdot t^{2} + 1$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.92387953251128675613 - 5.096749823337506287e-73j	6.21e-64, 6.21e-64j
-0.38268343236508977173 + 9.2225650054266650936e-87j	7.01e-64, 7.01e-64j
-0.92387953251128675613 + 9.3144534765740800182e-107j	6.21e-64, 6.21e-64j
0.38268343236508977173 + 1.8909140209225186879e-124j	7.01e-64, 7.01e-64j

Weights

Weight (ball center)	Error (ball radius)
0.25 + 4.0191975621592767697e-73j	4.22e-30, 5.5e-62j
0.25 + 2.3543914220560245038e-73j	1.94e-30, 2.58e-62j
0.25 - 6.8958528195275156355e-74j	9.25e-31, 1.25e-62j
0.25 - 5.68400370226254971e-73j	1.34e-30, 1.67e-62j

Download

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