/usr/include/ is in libtrilinos-pamgen-dev 12.10.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/trilinos/
/usr/include/trilinos/Makefile.export.Pamgen
/usr/include/trilinos/Pamgen_config.h
/usr/include/trilinos/RTC_ArrayIndexRTC.hh
/usr/include/trilinos/RTC_ArrayNumberRTC.hh
/usr/include/trilinos/RTC_ArrayVarRTC.hh
/usr/include/trilinos/RTC_Bessel_I_RTC.hh
/usr/include/trilinos/RTC_BlockRTC.hh
/usr/include/trilinos/RTC_ConditionalBlockRTC.hh
/usr/include/trilinos/RTC_ExecutableRTC.hh
/usr/include/trilinos/RTC_ForBlockRTC.hh
/usr/include/trilinos/RTC_FunctionRTC.hh
/usr/include/trilinos/RTC_IfElseifElseBlockRTC.hh
/usr/include/trilinos/RTC_LineRTC.hh
/usr/include/trilinos/RTC_NormalBlockRTC.hh
/usr/include/trilinos/RTC_ObjectRTC.hh
/usr/include/trilinos/RTC_OperatorRTC.hh
/usr/include/trilinos/RTC_RegistrarRTC.hh
/usr/include/trilinos/RTC_ScalarNumberRTC.hh
/usr/include/trilinos/RTC_ScalarVarRTC.hh
/usr/include/trilinos/RTC_TokenizerRTC.hh
/usr/include/trilinos/RTC_ValueRTC.hh
/usr/include/trilinos/RTC_VariableRTC.hh
/usr/include/trilinos/RTC_WhileBlockRTC.hh
/usr/include/trilinos/RTC_commonRTC.hh
/usr/include/trilinos/create_inline_mesh.h
/usr/include/trilinos/pamgen_code_types.h
/usr/include/trilinos/pamgen_element_dictionary.h
/usr/include/trilinos/pamgen_extras.h
/usr/include/trilinos/pamgen_fudges.h
/usr/include/trilinos/pamgen_im_exodusII.h
/usr/include/trilinos/pamgen_im_exodusII_ext.h
/usr/include/trilinos/pamgen_im_exodusII_l.h
/usr/include/trilinos/pamgen_im_ne_nemesisI.h
/usr/include/trilinos/pamgen_im_ne_nemesisI_l.h
/usr/include/trilinos/pamgen_mesh_specification.h