/usr/include/ is in libtrilinos-shards-dev 12.10.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/
/usr/include/trilinos/Makefile.export.Shards
/usr/include/trilinos/Shards_Array.hpp
/usr/include/trilinos/Shards_ArrayVector.hpp
/usr/include/trilinos/Shards_BasicTopologies.hpp
/usr/include/trilinos/Shards_CellTopology.hpp
/usr/include/trilinos/Shards_CellTopologyData.h
/usr/include/trilinos/Shards_CellTopologyManagedData.hpp
/usr/include/trilinos/Shards_CellTopologyTraits.hpp
/usr/include/trilinos/Shards_IndexList.hpp
/usr/include/trilinos/Shards_SimpleArrayOps.hpp
/usr/include/trilinos/Shards_TypeList.hpp
/usr/include/trilinos/Shards_config.h