Please read, e.g., <http://theoryx5.uwinnipeg.ca/gnu/glibc/libc_303.html>

Note the example of "EST+5" as being Eastern Standard Time (i.e., US East
Coast).

No clue *why* TZ is backwards, but it is.

If you live in a timezone called EDT, which is UTC-0400, then you set TZ
to EDT+4 (or just EDT4 --- plus signs are optional). Notice the sign
reversal.

It worked before you tried NTP because your system's idea of UTC was wrong.

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