  We consider the problem of finding the set of classical polylogarithmic
functions $\text{Li}_n$ with branching locus determined by the solution of
$p_1\cdot p_2\cdot \ldots \cdot p_n=0$, where $p_1,\ldots, p_n$ are irreducible
polynomials of several variables. We present an algorithm of constructing a
complete set of possible arguments of $\text{Li}_n$ functions. The
corresponding Mathematica code is included as ancillary file. Using this
algorithm and the symbol map, we provide some examples of polylogarithmic
identities.
