/usr/include/trilinos/ is in libtrilinos-epetraext-dev 12.10.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/EpetraExt_BlockAdjacencyGraph.h
/usr/include/trilinos/EpetraExt_BlockCrsMatrix.h
/usr/include/trilinos/EpetraExt_BlockDiagMatrix.h
/usr/include/trilinos/EpetraExt_BlockMapIn.h
/usr/include/trilinos/EpetraExt_BlockMapOut.h
/usr/include/trilinos/EpetraExt_BlockMultiVector.h
/usr/include/trilinos/EpetraExt_BlockUtility.h
/usr/include/trilinos/EpetraExt_BlockVector.h
/usr/include/trilinos/EpetraExt_ConfigDefs.h
/usr/include/trilinos/EpetraExt_CrsMatrixIn.h
/usr/include/trilinos/EpetraExt_CrsSingletonFilter_LinearProblem.h
/usr/include/trilinos/EpetraExt_DistArray.h
/usr/include/trilinos/EpetraExt_Exception.h
/usr/include/trilinos/EpetraExt_HDF5.h
/usr/include/trilinos/EpetraExt_HDF5_Handle.h
/usr/include/trilinos/EpetraExt_LPTrans_From_GraphTrans.h
/usr/include/trilinos/EpetraExt_LPTrans_From_MatrixTrans.h
/usr/include/trilinos/EpetraExt_MMHelpers.h
/usr/include/trilinos/EpetraExt_MapColoring.h
/usr/include/trilinos/EpetraExt_MapColoringIndex.h
/usr/include/trilinos/EpetraExt_MatrixMatrix.h
/usr/include/trilinos/EpetraExt_ModelEvaluator.h
/usr/include/trilinos/EpetraExt_ModelEvaluatorScalingTools.h
/usr/include/trilinos/EpetraExt_MultiComm.h
/usr/include/trilinos/EpetraExt_MultiMpiComm.h
/usr/include/trilinos/EpetraExt_MultiPointModelEvaluator.h
/usr/include/trilinos/EpetraExt_MultiSerialComm.h
/usr/include/trilinos/EpetraExt_MultiVectorIn.h
/usr/include/trilinos/EpetraExt_MultiVectorOut.h
/usr/include/trilinos/EpetraExt_OperatorOut.h
/usr/include/trilinos/EpetraExt_Overlap_CrsGraph.h
/usr/include/trilinos/EpetraExt_Permutation.h
/usr/include/trilinos/EpetraExt_Permutation_impl.h
/usr/include/trilinos/EpetraExt_PointToBlockDiagPermute.h
/usr/include/trilinos/EpetraExt_PolynomialVectorTraits.h
/usr/include/trilinos/EpetraExt_ProductOperator.h
/usr/include/trilinos/EpetraExt_Reindex_CrsMatrix.h
/usr/include/trilinos/EpetraExt_Reindex_LinearProblem.h
/usr/include/trilinos/EpetraExt_Reindex_LinearProblem2.h
/usr/include/trilinos/EpetraExt_Reindex_MultiVector.h
/usr/include/trilinos/EpetraExt_RestrictedCrsMatrixWrapper.h
/usr/include/trilinos/EpetraExt_RestrictedMultiVectorWrapper.h
/usr/include/trilinos/EpetraExt_RowMatrixOut.h
/usr/include/trilinos/EpetraExt_Scale_LinearProblem.h
/usr/include/trilinos/EpetraExt_SolverMap_CrsMatrix.h
/usr/include/trilinos/EpetraExt_SolverMap_LinearProblem.h
/usr/include/trilinos/EpetraExt_SubCopy_CrsMatrix.h
/usr/include/trilinos/EpetraExt_TCrsGraph_MapColoringIndex.h
/usr/include/trilinos/EpetraExt_TimedEpetraOperator.hpp
/usr/include/trilinos/EpetraExt_Transform.h
/usr/include/trilinos/EpetraExt_Transform_Composite.h
/usr/include/trilinos/EpetraExt_Transpose_CrsGraph.h
/usr/include/trilinos/EpetraExt_Transpose_RowMatrix.h
/usr/include/trilinos/EpetraExt_Utils.h
/usr/include/trilinos/EpetraExt_VectorIn.h
/usr/include/trilinos/EpetraExt_VectorOut.h
/usr/include/trilinos/EpetraExt_Version.h
/usr/include/trilinos/EpetraExt_View_CrsGraph.h
/usr/include/trilinos/EpetraExt_View_CrsMatrix.h
/usr/include/trilinos/EpetraExt_View_MultiVector.h
/usr/include/trilinos/EpetraExt_XMLReader.h
/usr/include/trilinos/EpetraExt_XMLWriter.h
/usr/include/trilinos/EpetraExt_config.h
/usr/include/trilinos/EpetraExt_mmio.h
/usr/include/trilinos/EpetraExt_readEpetraLinearSystem.h
/usr/include/trilinos/Makefile.export.EpetraExt