ΔE 16.8, loose: different enough that you should pick on purpose. Vermilion is a little darker, more saturated, warmer than Dark Magenta.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 17). Vermilion is a little darker, more saturated, warmer than Dark Magenta.
The same difference applies the other way round: Dark Magenta is a little lighter, more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Dark Magenta on the colour wheel See Vermilion on the colour wheel
All matches: Dark Magenta equivalents · Vermilion equivalents