  We show that a generalized fluctuation-dissipation relation applies upon
instantaneously increasing the temperature of a deeply supercooled liquid. This
has the same two-step shape of the relation found upon cooling the liquid, but
with opposite violation, indicating an effective temperature that is lower than
bath temperature. We show that the effective temperature exhibits some sensible
time-dependence and that it retains its connection with the partitioned phase
space visited in ageing. We underline the potential relevance of our numerical
results for experimental studies of the fluctuation-dissipation relation in
glassy systems.
