Rule: Q[2, 3]

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.

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

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
1 + 8.8108147574137676194e-86j	3.04e-63, 3.04e-63j
-0.7071067811865475244 - 3.041490152750504832e-89j	2.37e-63, 2.37e-63j
-1 - 7.178996849044423115e-97j	3.04e-63, 3.04e-63j
5.0758836746312984465e-116 + 0j	2.54e-115, 2.54e-115j
0.7071067811865475244 + 1.7610509143420669137e-132j	4.25e-63, 4.25e-63j

Weights

Weight (ball center)	Error (ball radius)
0.125 - 6.0572124377662449827e-86j	8.74e-29, 3.91e-60j
0.25 + 1.2908516119732504846e-86j	3.69e-29, 1.67e-60j
0.125 - 5.5197395950388420331e-87j	2.03e-29, 9.21e-61j
0.25 - 2.2016283602154284019e-86j	1.9e-29, 8.64e-61j
0.25 + 7.5199631455123071033e-86j	1.11e-29, 4.55e-61j

Download

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