/usr/include/trilinos/ is in libtrilinos-aztecoo-dev 12.12.1-5.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/AZOO_iterate.h
/usr/include/trilinos/AZOO_printf.h
/usr/include/trilinos/Aztec2Petra.h
/usr/include/trilinos/AztecOO.h
/usr/include/trilinos/AztecOO_ConditionNumber.h
/usr/include/trilinos/AztecOO_ConfigDefs.h
/usr/include/trilinos/AztecOO_Operator.h
/usr/include/trilinos/AztecOO_Scaling.h
/usr/include/trilinos/AztecOO_StatusTest.h
/usr/include/trilinos/AztecOO_StatusTestCombo.h
/usr/include/trilinos/AztecOO_StatusTestMaxIters.h
/usr/include/trilinos/AztecOO_StatusTestResNorm.h
/usr/include/trilinos/AztecOO_StatusType.h
/usr/include/trilinos/AztecOO_Version.h
/usr/include/trilinos/AztecOO_config.h
/usr/include/trilinos/AztecOO_string_maps.h
/usr/include/trilinos/Epetra_MsrMatrix.h
/usr/include/trilinos/az_aztec.h
/usr/include/trilinos/az_aztec_defs.h
/usr/include/trilinos/az_aztecf.h
/usr/include/trilinos/az_blas_wrappers.h
/usr/include/trilinos/az_f77func.h
/usr/include/trilinos/az_lapack_wrappers.h
/usr/include/trilinos/az_y12m_wrappers.h