/usr/include/trilinos/ is in libtrilinos-amesos-dev 12.10.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/Amesos.h
/usr/include/trilinos/Amesos_BaseSolver.h
/usr/include/trilinos/Amesos_ComponentBaseSolver.h
/usr/include/trilinos/Amesos_ConfigDefs.h
/usr/include/trilinos/Amesos_Control.h
/usr/include/trilinos/Amesos_Klu.h
/usr/include/trilinos/Amesos_Lapack.h
/usr/include/trilinos/Amesos_Mumps.h
/usr/include/trilinos/Amesos_NoCopiable.h
/usr/include/trilinos/Amesos_Reordering.h
/usr/include/trilinos/Amesos_Scaling.h
/usr/include/trilinos/Amesos_Status.h
/usr/include/trilinos/Amesos_Support.h
/usr/include/trilinos/Amesos_TestRowMatrix.h
/usr/include/trilinos/Amesos_Time.h
/usr/include/trilinos/Amesos_Utils.h
/usr/include/trilinos/Amesos_config.h
/usr/include/trilinos/CrsMatrixTranspose.h
/usr/include/trilinos/Makefile.export.Amesos
/usr/include/trilinos/amesos_UFconfig.h
/usr/include/trilinos/amesos_amd.h
/usr/include/trilinos/amesos_amd_internal.h
/usr/include/trilinos/amesos_btf_decl.h
/usr/include/trilinos/amesos_btf_internal.h
/usr/include/trilinos/amesos_camd.h
/usr/include/trilinos/amesos_camd_internal.h
/usr/include/trilinos/amesos_ccolamd.h
/usr/include/trilinos/amesos_cholmod.h
/usr/include/trilinos/amesos_cholmod_check.h
/usr/include/trilinos/amesos_cholmod_core.h
/usr/include/trilinos/amesos_cholmod_internal.h
/usr/include/trilinos/amesos_cholmod_io64.h
/usr/include/trilinos/amesos_cholmod_partition.h
/usr/include/trilinos/amesos_colamd.h
/usr/include/trilinos/amesos_klu_decl.h
/usr/include/trilinos/amesos_klu_internal.h
/usr/include/trilinos/amesos_klu_version.h