
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let the complex number \\(z = a^2 - a - 2 + (a^2 - 3a - 4)i\\), where \\(i\\) is the imaginary unit, and \\(a \in \mathbb{R}\\).

\\((1)\\) If the complex number \\(z\\) is a pure imaginary number, find the value of \\(a\\).

\\((2)\\) If the point corresponding to the complex number \\(z\\) in the complex plane lies in the second or fourth quadrant, find the range of values for the real number \\(a\\).

Present the answer in LaTex format: \boxed{Your answer}
user