
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
A set $T$ of points in the $xy$-plane is symmetric about the origin, both coordinate axes, and the line $y=-x$. If $(1, 4)$ is in $T$, what is the smallest number of points in $T$?
A) 1
B) 2
C) 4
D) 8
E) 16

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