/usr/share/polymake/apps/tropical/ is in polymake-common 3.2r2-3.
This file is owned by root:root, with mode 0o755.
..
/usr/share/polymake/apps/tropical/rules/
/usr/share/polymake/apps/tropical/rules/cone.rules
/usr/share/polymake/apps/tropical/rules/cone_properties.rules
/usr/share/polymake/apps/tropical/rules/covector_lattice.rules
/usr/share/polymake/apps/tropical/rules/cycle.rules
/usr/share/polymake/apps/tropical/rules/gfan.rules
/usr/share/polymake/apps/tropical/rules/help.rules
/usr/share/polymake/apps/tropical/rules/hypersurface.rules
/usr/share/polymake/apps/tropical/rules/main.rules
/usr/share/polymake/apps/tropical/rules/tplib.rules
/usr/share/polymake/apps/tropical/rules/visual.rules
/usr/share/polymake/apps/tropical/rules/visual_covector.rules
/usr/share/polymake/apps/tropical/scripts/
/usr/share/polymake/apps/tropical/scripts/data-monomial-trop-cone.pl
/usr/share/polymake/apps/tropical/scripts/deformed_cyclic.pl
/usr/share/polymake/apps/tropical/scripts/example-multicrit-opt.pl
/usr/share/polymake/apps/tropical/src/
/usr/share/polymake/apps/tropical/src/arithmetic.cc
/usr/share/polymake/apps/tropical/src/canonical_coord.cc
/usr/share/polymake/apps/tropical/src/codimone.cc
/usr/share/polymake/apps/tropical/src/compute_maximal_covectors.cc
/usr/share/polymake/apps/tropical/src/covector_decomposition.cc
/usr/share/polymake/apps/tropical/src/covectors.cc
/usr/share/polymake/apps/tropical/src/cycle_edge_lengths.cc
/usr/share/polymake/apps/tropical/src/cyclic.cc
/usr/share/polymake/apps/tropical/src/discard_non_vertices.cc
/usr/share/polymake/apps/tropical/src/dome_hyperplane_arrangement.cc
/usr/share/polymake/apps/tropical/src/double_description.cc
/usr/share/polymake/apps/tropical/src/dual_addition_version.cc
/usr/share/polymake/apps/tropical/src/dual_addition_version_cone.cc
/usr/share/polymake/apps/tropical/src/dual_addition_version_cycle.cc
/usr/share/polymake/apps/tropical/src/envelope.cc
/usr/share/polymake/apps/tropical/src/extract_pseudovertices.cc
/usr/share/polymake/apps/tropical/src/feasible_cell.cc
/usr/share/polymake/apps/tropical/src/hypersimplex.cc
/usr/share/polymake/apps/tropical/src/hypersurface.cc
/usr/share/polymake/apps/tropical/src/is_balanced.cc
/usr/share/polymake/apps/tropical/src/lattice_migration.cc
/usr/share/polymake/apps/tropical/src/lattice_normals.cc
/usr/share/polymake/apps/tropical/src/lifted_pluecker.cc
/usr/share/polymake/apps/tropical/src/linear_space.cc
/usr/share/polymake/apps/tropical/src/map_perm.cc
/usr/share/polymake/apps/tropical/src/matroid_polytope.cc
/usr/share/polymake/apps/tropical/src/minkowski_sum.cc
/usr/share/polymake/apps/tropical/src/nearest_point.cc
/usr/share/polymake/apps/tropical/src/points2hypersurface.cc
/usr/share/polymake/apps/tropical/src/thomog.cc
/usr/share/polymake/apps/tropical/src/tropicalNorm.cc