The files contain lists of pairs (g,c) where g is a 2-rigid graph in integer notation and c is the number of complex 2-dimensional realisations of the graph. We also provide files with the number of spherical realisations. The integer encoding of a graph takes the upper triangular part of the adjacency matrix and reads row-wise as a binary number that is transformed into an integer. PyRigi (Python package) and RigiComp (Mathematica package) can transform this integer into a graph.