\(x, y, z\) Polynomials

Algebra Level 3

\[\large \begin{cases} x + y + z = 0 \\ x^3 + y^3 + z^3=18 \\ x^7 + y^7 + z^7=2058 \end{cases} \]

Given that \(x\), \(y\) and \(z\) satisfy the system of equations above, find the value of \(xyz.\)