The \(4\times 4\) square above is a magic square, where the sum of every row, column, or diagonal is equal, and the letters \(A\) to \(N\) denote the distinct 2-digit prime numbers apart from 49 and 7 given.

If all the numbers are rearranged into the matrix \(P \) on the right as shown, what is the determinant of matrix \(P\)?

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