/usr/lib/x86_64-linux-gnu/pkgconfig/m4ri.pc is in libm4ri-dev 20130416-6.
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=${prefix}/include
Name: M4RI
Description: Dense linear algebra over GF(2).
Version: 20130416
Libs: -L${libdir} -lm4ri -lm
Cflags: -I${includedir}/m4ri -g -O2 -fstack-protector --param=ssp-buffer-size=4 -Wformat -Werror=format-security -mmmx -msse -msse2
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