documentclass[tikz]{standalone}
usepackage{pgfplots}
usetikzlibrary{arrows,shapes,backgrounds,fit,decorations.pathreplacing,chains,snakes,positioning,angles,quotes}  %TikZ libraries
usepackage{amsmath,amssymb,bm}
usepackage{xcolor}
usepackage{braids}

pgfplotsset{compat=newest}

begin{document}

begin{tikzpicture}
braid[style strands={1}{red},style
strands={2}{blue},style strands={3}{green}]  (TEST2) at (5,0) s_1
s_3^{-1} s_1 s_2^{−1} s_1 s_2^{−1};
end{tikzpicture}
end{document}