How rare are Three Cent Silvers with medal alignment (rotated 180 degrees)?

Very recently picked up a nicely toned brown, teal, and yellow nearly matched on both sides 1861 3cS in PCGS MS62. I bought it for the nice toning. But upon getting the coin in the mail today and inspecting it closer, I realized the reverse was rotated a perfect 180 degrees! How rare is medal alignment for 3cS and how much value, if any, does it add to the coin?


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I have existed since the creation of this world and will exist until its end. Only my form will change. For these 80 human life years, I have the benefit of having a functioning body and consciousness. I will not waste this opportunity.
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Here is a link to a useful rotated die census that I think was created by a member here.
The 1861 3 cent is a somewhat more available example. Not sure if it adds any value but it is interesting. I have or maybe had one in around F or VF. Did not pay any premium.
http://rotateddies.50webs.com/census.htm
"To Be Esteemed Be Useful" - 1792 Birch Cent --- "I personally think we developed language because of our deep need to complain." - Lily Tomlin
collection.... Cheers, RickO
RMR: 'Wer, wenn ich schriee, hörte mich denn aus der Engel Ordnungen?'
CJ: 'No one!' [Ain't no angels in the coin biz]
in Proof 64 to Proof-67 with the 180 degree rotation.
The 3 Cent Silver is scarce in high grades, and both
still bring decent premiums, I've found......
An authorized PCGS dealer, and a contributor to the Red Book.