Classical.zip and Quantum.zip : Spin-spin correlation function values, in classical and quantum regimes, algebraic (non-dimerized) and exponential (dimerized) regimes, done with harmonic forces and spin forces (Full) or harmonic forces only (Potential_Only) or fixed at the minimum (Minimum). Uniform_Algebraic : The slopes of the uniform chain used as \alpha_0 depending on the number of points taken for a fit. Summary : Final fits for the exponents and the associated errros for different regimes, parameters and number of points taken for the underlying slopes. Einstein_Classical.zip, Cosine_Classical.zip, Einstein_Quantum.zip, Cosine_Quantum.zip : bondlength distributions used to plot Figure 1. Figure_2_data.zip : data used to plot Figure 2. SM_Fit.zip : forces calculated with RPSSE and RPED used for Figure 1 in the SM SM_Bar.zip : forces and errors over trajectories with RPSSE used for the Figures 2 and 3 in the SM