  We present an implementation of the Atiyah-Bott residue formula for
$\overline{M}_{0,m}(\mathbb{P}^{n},d)$. We use this implementation to compute a
large number of Gromov-Witten invariants of genus $0$, including intersection
numbers of rational curves on general complete intersections. We also compute
some numbers of rational contact curves satisfying suitable Schubert
conditions. Our computations confirm known predictions made by Mirror Symmetry.
The code we developed for these problems is publicly available and can also be
used for other types of computations.
