
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 necessary and sufficient condition for the quadratic equation $(1-i)x^2 + (l+i)x + (1+il) = 0$ ($i$ is the imaginary unit, $l \in \mathbb{R}$) to have two complex roots is the range of values for $l$ is ______.

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