When I am using python based spglib, I am confused about the rotation matrix returned. For example, for the sym dataset returned rotation matrices R \in R^{3,3}, shall I use it as Rx, where x \in R^3 is a column vector, or shall I use it as xR, where x \in R^3 is a row vector? and Also for the returned std_rotation_matrix Rot \in R^{3,3}, shall I regard it as a left rotation which resulting in (Ra,Rb,Rc) where a,b,c are column lattice vectors, or the right rotation like (aR,bR,cR) where a,b,c are column vectors?

This is confusing because L matrix are returned as a row vector based matrix, and also P matrix. But I do not know what rotations means.