/usr/lib/x86_64-linux-gnu/pkgconfig/synthesis-sdk.pc is in libsynthesis-dev 3.4.0.47.5-0ubuntu3~gcc5.2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 | prefix=/usr
exec_prefix=${prefix}
libdir=${prefix}/lib/x86_64-linux-gnu
includedir=${prefix}/include
Name: synthesis
Description: Synthesis SyncML SDK
Version: 3.4.0.47.5
Libs: -L${libdir} -lsynthesissdk -lsmltk -lsynthesisstubs
Cflags: -I${includedir}
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