
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
Given the function $f(x)=\tan(2x+ \frac {π}{3})$, provide the sequence number of the correct proposition below:
   (1) If $x_1$, $x_2$ are two distinct roots of $f(x)=3$, then $|x_{1}-x_{2}|≥ \frac {π}{2}$;
   (2) $(- \frac {π}{6} ,0)$ is the symmetry center of the function $f(x)$;
   (3) $( \frac {1}{4}kπ- \frac {π}{6} ,0) (k∈Z)$ is also the symmetry center of the function;
   (4) $x= \frac {1}{2}kπ- \frac {π}{12} (k∈Z)$ is the symmetry axis of the function $f(x)$.

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