Suppose $A$ is a $3 \times 3$ matrix with real entries that has a complex eigenvalue $1-5i$ with corresponding eigenvector $\left[\begin{array}{c} 4-2i\cr -1\cr 2i \end{array}\right]$. Find another eigenvalue and eigenvector for $A$.

Eigenvalue = .

Eigenvector = $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$