In https://bugs.python.org/issue44751, crypt.h was removed from Python.h. This would imply that libpython is not meant to expose any crypt-related symbols.

In fact, it looks like libpython does not use crypt() or crypt_r() at all. These are only used by cryptmodule.

In configure.ac, we have this this logic to determine if crypt_r() is available:

```
# We search for both crypt and crypt_r as one or the other may be defined
# This gets us our -lcrypt in LIBS when required on the target platform.
AC_SEARCH_LIBS(crypt, crypt)
AC_SEARCH_LIBS(crypt_r, crypt)

AC_CHECK_FUNC(crypt_r,
  AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
#define _GNU_SOURCE  /* Required for crypt_r()'s prototype in glibc. */
#include <crypt.h>
]], [[
struct crypt_data d;
char *r = crypt_r("", "", &d);
]])],
    [AC_DEFINE(HAVE_CRYPT_R, 1, [Define if you have the crypt_r() function.])],
    [])
)
```

The AC_SEARCH_LIBS macro adds "-lcrypt" to LIBS, and this gets passed down to the link command for libpython. This is probably not intentional.

The HAVE_CRYPT_R value is used in _cryptmodule.c. setup.py performs its own check for libcrypt when building the module.

I think the value of LIBS should be saved before the AC_SEARCH_LIBS calls and restored after the AC_CHECK_FUNC call. I have tested this locally on Gentoo Linux, and it seems to work fine.

I will work on a pull request.