Eigenvalues and eigenvectors of $$$\left[\begin{array}{ccc}36962 & 114 & 1097\\114 & 38593 & 237\\1097 & 237 & 36690\end{array}\right]$$$
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Find the eigenvalues and eigenvectors of $$$\left[\begin{array}{ccc}36962 & 114 & 1097\\114 & 38593 & 237\\1097 & 237 & 36690\end{array}\right]$$$.