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Let $L$ be some number field, and $\sigma_1,...,\sigma_{(r+s)}$ its embeddings in the real\complex field. Given an element $a$ in a $L$, how can I produce the vector $(\sigma_1(a),...,\sigma_{(r+s)}(a))$ , or better yet, is there a function returning the lattice embedding of $\mathcal{O}_L$ inside $\mathbb{R}^r \times \mathbb{C}^s $? Similarly, after computing the units group is there some function that returns $(\log |\sigma_i(u) |)$ for a given unit $u$ or the corresponding unit lattice?