\[\left| \begin{array}{} (1+\alpha)^2 & (1+2\alpha)^2 & (1+3\alpha)^2 \\ (2+\alpha)^2 & (2+2\alpha)^2 & (2+3\alpha)^2 \\ (3+\alpha)^2 & (3+2\alpha)^2 & (3+3\alpha)^2 \\ \end{array} \right|=-648\alpha\]

Which of the following values of \(\alpha\) satisfy the above equation ?

\[\begin{array}{} (1) \, -4 \quad \quad \quad \quad & (2) \, 9 \\ (3) \, -9 & (4) \, 4 \end{array}\]

**Note :**

Submit your answer as the increasing order of the serial numbers of all the correct options.

For eg, if your answer is \((1),(2)\), then submit 12 as the correct answer, if your answer is \((2),(3),(4)\), then submit 234 as the correct answer.

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