
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
An octagon $Q_1 Q_2 ... Q_8$ is drawn in the coordinate plane with $Q_1$ at $(2,0)$ and $Q_5$ at $(6,0)$. If $Q_n$ is the point $(x_n,y_n)$, compute the numerical value of the product
\[ (x_1 + y_1 i)(x_2 + y_2 i)(x_3 + y_3 i) \dotsm (x_8 + y_8 i). \]

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