
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
The hyperbola $\dfrac {y^{2}}{a^{2}} - \dfrac {x^{2}}{b^{2}} = 1 \ (a > 0, b > 0)$ and the parabola $y = \dfrac {1}{8}x^{2}$ share a common focus $F$. The length of the chord on the hyperbola that passes through point $F$ and is perpendicular to the $y$-axis is $\dfrac {2 \sqrt {3}}{3}$. Determine the eccentricity of the hyperbola.

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