Rule: Q[6]

Type

This rule is of Chebyshev U (second 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.

$P_{1}$ :
$64 \cdot t^{6} - 80 \cdot t^{4} + 24 \cdot t^{2} - 1$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.22252093395631440429 + 0j	7.72e-64, 7.72e-64j
-0.62348980185873353053 + 1.7955302187076837702e-189j	4.12e-63, 4.12e-63j
-0.90096886790241912624 - 5.4795233725210075994e-194j	3.15e-63, 3.15e-63j
-0.22252093395631440429 - 1.2458993688871959419e-206j	7.72e-64, 7.72e-64j
0.62348980185873353053 + 1.3592332861259439409e-239j	4.12e-63, 4.12e-63j
0.90096886790241912624 + 2.8794178826796114332e-239j	3.15e-63, 3.15e-63j

Weights

Weight (ball center)	Error (ball radius)
0.13578349056445850902 + 2.8818660671475245273e-190j	7.29e-29, 3e-60j
0.087322923854022457449 + 2.3990898274605118304e-190j	2.82e-29, 1.16e-60j
0.026893585581519033534 + 1.7401424486006883291e-190j	5.63e-30, 2.31e-61j
0.13578349056445850902 - 6.0804660237866672143e-190j	3.27e-29, 1.34e-60j
0.087322923854022457449 - 1.2573971702796115582e-190j	4.82e-30, 2.02e-61j
0.026893585581519033534 + 3.1676485085755408562e-191j	1.54e-30, 5.97e-62j

Download

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