Simply Complex!

Algebra Level 5

Let \(z\) be a complex number such that \(z=a+bi\), \(a,b \in \Re\) and \(i\) the imaginary unit. Determine the modulus of \(z\), by knowing that: \[a^{3}=3(1+ab^{2})\]\[b^{3}=3(a^{2}b-1)\]

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