The ability of a computer to find approximate roots to polynomials is very useful when we deal with "flabby", or topological, properties of the polynomials. In this talk I will introduce a simple topological problem involving polynomials and describe a primitive method to solve the problem in small cases. Already these small cases are more complicated than most examples that appear in current research. More precisely, the lecture considers the problem of calculating fundamental groups of complements of plane curves, although knowledge of fundamental groups will not be necessary.