
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 standard equations of the ellipses that satisfy the following conditions:
\\((1)\\) The minor axis length is \\(6\\), and the distance between the two foci is \\(8\\);
\\((2)\\) The eccentricity is \\(e= \frac { \sqrt {3}}{2}\\), and the ellipse passes through the point \\((4,2 \sqrt {3}).\\)

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