/usr/lib/x86_64-linux-gnu/libsymmetrica.so is in libsymmetrica2-dev 2.0+ds-5.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libsymmetrica.so.2.0.0
/usr/lib/x86_64-linux-gnu/libsymmetrica.so.2.0.0