Minute 37 of Episode Two
Carol stands in front of the POTUS Seal https://en.wikipedia.org/wiki/Seal_of_the_president_of_the_United_States
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Stars missing. 4 of 13 are missing next to the head of the eagle. Only 9 of the 13 stars are present.
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There are 13 free people that the meeting is discussing.
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The eagle is facing the wrong way for the POTUS Seal. The claws of the olive branch and the arrows are swapped so the eagle still points to the peaceful olive branch.
The eagle being the wrong direction is intended to catch the audience eye. It takes a little more effort to count the 13 stars and find 4 are missing on closer examination.
REMINDER: This is a show that opens with smart scientists (at VLA New Mexico) in a media room trying to decode the symbols and meanings of a 78 second message. Over-thinking and analyzing media symbols is part of the very start of the show. Manousos Oviedo is also frequently shown to be analyzing messages / signal intelligence.
The worst thing this show could do is turn into another LOST.