
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
Find the length of the real axis, the length of the imaginary axis, the coordinates of the foci, the focal distance, and the equations of the asymptotes for the hyperbola $9x^{2}-y^{2}=81$.

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