
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
On this table, the squares of numbers from 1 to 60, expressed in the sexagesimal system, are placed. Here is an example of the notation:

![](https://cdn.mathpix.com/cropped/2024_05_21_926f0bb262c8f9569516g-008.jpg?height=674&width=552&top_left_y=1625&top_left_x=752)

Verify the correctness of this notation.

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