This ASCII data diffhalos.txt.gz stores a large collection of best-fitting approximations to the evolution of concentration, spin, and ellipticity of halos in the BPL simulation.

* Column 0 stores 'halo_id' that can be used to cross-match the fits against the binary file bpl_cens_trunks.npy, and/or the original publicly available merger tree data, https://slac.stanford.edu/~behroozi/BPlanck_Trees/

* Column 1 stores 'logmpeak', the base-10 logarithm of the present-day peak halo mass in units of Msun assuming h=1.

The remaining columns pertain to the following differentiable approximations to the growth of these halos:

* Columns 2-5: 'mah_early_index', 'mah_late_index', 'mah_k', 'mah_logtc'
These columns are the values of the diffmah model for halo mass growth implemented here: https://github.com/ArgonneCPAC/diffmah

* Columns 6-9: 'conc_beta_early', 'conc_beta_late', 'conc_k', 'conc_lgtc'
These columns are the values of the diffprof model for the evolution of halo concentration implemented here: https://github.com/aphearin/diffprof

* Columns 10-13: 'spin_amp', 'spin_norm', 'spin_phase', 'spin_tau'
These columns are the values of the diffspin model for the evolution of halo spin implemented here: https://github.com/aphearin/diffspin

* Columns 14-17: 'ellipticity_early', 'ellipticity_k', 'ellipticity_late', 'ellipticity_t0'
These columns are the values of the diffprof model for the evolution of halo ellipticity implemented here: https://github.com/aphearin/diffprof