
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
Regarding the function $$f(x)=4\sin(2x+ \frac {\pi}{3})(x\in\mathbb{R})$$, the following statements are made:  
① The expression for the function $y=f(x)$ can be rewritten as $$y=4\cos(2x- \frac {\pi}{6})$$;  
② The function $y=f(x)$ is a periodic function with a minimum positive period of $2\pi$;  
③ The graph of the function $y=f(x)$ is symmetric about the point $$(- \frac {\pi}{6},0)$$;  
④ The graph of the function $y=f(x)$ is symmetric about the line $$x= \frac {\pi}{6}$$;  
⑤ After shifting the graph of the function $y=f(x)$ to the right by $$\frac {\pi}{3}$$ units, the resulting graph is symmetric about the origin. Among these, the correct ones are \_\_\_\_\_\_ . (Fill in all the numbers you think are correct)

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