/usr/lib/libtrilinos_fei_trilinos.so is in libtrilinos-dev 10.4.0.dfsg-1ubuntu2.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/libtrilinos_fei_trilinos.so.10.4
/usr/lib/libtrilinos_fei_trilinos.so.10.4