Rule: Q[1, 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.

$P_{1}$ :
$t$
$P_{2}$ :
$t^{5} - \frac{5}{4} \cdot t^{3} + \frac{5}{16} \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
-0.58778525229247312917 - 2.9464183587545806982e-43j	1.48e-42, 1.48e-42j
-0.95105651629515357212 + 1.0661609552135289429e-47j	5.88e-47, 5.88e-47j
0.58778525229247312917 - 8.046729551998434321e-56j	4.77e-55, 4.77e-55j
2.9761274626343518797e-69 - 8.8299764710322582268e-70j	1.55e-68, 1.55e-68j
0.95105651629515357212 + 3.0373499761601019719e-81j	1.34e-63, 1.34e-63j

Weights

Weight (ball center)	Error (ball radius)
0.2 - 2.6475852755774643264e-44j	4.27e-30, 1.05e-40j
0.2 - 6.1950333491319937634e-44j	9.96e-31, 2.11e-41j
0.2 - 5.0131090895063813949e-44j	1.72e-30, 3.86e-41j
0.2 + 1.2392915948669549e-43j	7.93e-31, 3.27e-41j
0.2 + 1.4628117655462904843e-44j	7.44e-31, 1.24e-41j

Download

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