what about an offset?
...with labels offset 1,1 # that's a fixed offset
plot FILENAME using 3:4:1 notitle with labels offset 1,1 , '' using 3:4
title "ring points" with points ps 3 lw 5 pt 1 lt 7
or with the sgn(x) function
dx = 20 # x-offset
dy = 100 # y-offset
plot FILENAME using ($3+sgn($3)*dx):($4+sgn($4)*dy):1 notitle with
labels, '' using 3:4 title "ring points" with points ps 3 lw 5 pt 1 lt 7
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