
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 roots of
\[ z^7 = -\frac{1}{\sqrt{2}} + \frac{i}{\sqrt{2}} \]
are \( \text{cis } \theta_1 \), \( \text{cis } \theta_2 \), ..., \( \text{cis } \theta_7 \), where each \( \theta_k \) (for \( 1 \leq k \leq 7 \)) lies between \( 0^\circ \) and \( 360^\circ \). Find \( \theta_1 + \theta_2 + ... + \theta_7 \). Give your answer in degrees.

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