The degree convention $\mu_{L,L^{\prime}}$ here follows Joyce [41], which corresponds to $\mu_{L^{\prime},L}$ in [69][9][73]. The advantage of this convention is its compatibility with the central charge formula $Z(L)=\int_{L}\Omega$ in the Bridgeland stability. If instead one uses the convention of [69][9][73], then adding $\pi$ to the Lagrangian phase would correspond to the shift $[-1]$ in $D^{b}Fuk(X)$, so the central charge would be $Z(L)=\overline{\int_{L}\Omega}$.