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Compute the value of the determinant of the $3 \times 3$ complex matrix $X$, provided that $\operatorname{tr}(X)=1, \operatorname{tr}\left(X^{2}\right)=-3, \operatorname{tr}\left(X^{3}\right)=4$. [Here $\operatorname{tr}(A)$ denotes the the trace, that is, the sum of the diagonal entries of the matrix $A .]$
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