/usr/lib/x86_64-linux-gnu/libtrilinos_xpetra.so is in libtrilinos-xpetra-dev 12.12.1-5.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libtrilinos_xpetra.so.12
/usr/lib/x86_64-linux-gnu/libtrilinos_xpetra.so.12