length of a polynomial

Let $P=a_0+a_{1}x+\mathrm{\dots }+a_n{x}^n\in ℂ[x]$ be a polynomial with complex coefficients. The length of $P$ is

$$L(P)=\mid a_0\mid +\mid a_1\mid +\mathrm{\dots }+\mid a_n\mid =\sum _{i=0}^n\mid a_i\mid$$