  Speed of sound is given attention in multi-messenger astronomy as it encodes
information of the dense matter equation of state. Recently the trace anomaly
was proposed as a more informative quantity. In this work, we statistically
determine the speed of sound and trace anomaly and show that they are driven to
their conformal values at the centers of maximally massive neutron stars. We
show that the local peak in the speed of sound can be associated with
deconfinement along with percolation conditions in QCD matter.
