
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 that \\(\alpha\\) is an imaginary root of the quadratic equation with real coefficients \\(x^{2}-(2m-1)x+m^{2}+1=0\\), and \\(|\alpha| \leqslant 2\\), the range of values for the real number \\(m\\) is \_\_\_\_\_\_.

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