If `omega` is an imaginary fifth root of unity, then find the value of `loe_2|1+omega+omega^2+omega^3-1//omega|dot`

Explanation

To solve the problem, we need to find the value of \( \log_2 \left| 1 + \omega + \omega^2 + \omega^3 - \frac{1}{\omega} \right| \), where \( \omega \) is an imaginary fifth root of unity.

1. **Understanding Fifth Roots of Unity**:
The fifth roots of unity are the solutions to the equation \( x^5 = 1 \). They can be expressed as:
\[ 1, \omega, \omega^2, \omega^3, \omega^4 \]
where \( \omega = e^{2\pi i / 5} \).
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