
**Density Profiles of Resultant Halos for Each Spin-s Simulation There are three folders corresponding to spin-0, spin-1 and spin-2 . Each folder contains files with the density profiles for the halos formed in each of the 24 simulations, as shown in Fig. 2. radius: The radial distance from the center of the halo. average: The average density at each radius. standard deviation: The variability in density values around the average at each radius. **Energy Evolution of Resultant Halos in Simulations There are three folders for each spin (spin-0, spin-1 and spin-2). Each folder have the energy evolution for the halos formed in each simulation, as presented in Fig. 1, accounting for mergers involving all numbers of initial solitons.Each file corresponds to a specific number of initial solitons with Ngrid=512. Only for spin-0, there are files for Ngrid=512 and Ngrid=1024. The table includes columns labeled as snap, t, K1, K2, K3, K4, K5, K6, W1, W2, W3, W4, W5, W6, rho, and dt. snap: The snapshot number, ranging from zero to the total number of steps in each simulation. t: The time when each snapshot was recorded. K1, K2, K3, K4, K5, K6: Spin components of the kinetic energy: For spin-0 configurations, only K1 is non-zero. For spin-1 configurations, the components K1, K2, and K3 are non-zero. For spin-2 configurations, all six components (K1 through K6) are non-zero. W1, W2, W3, W4, W5, W6: Spin components of the potential energy. rho: The maximum value of the density of the system. dt: The time step between snapshots. **Scaling relations for the There are three files for each spin (spin-0, spin-1 and spin-2). The columns in each file are the following: #N_s reps rc rs logrc M200 MCore. N_s: The number of initial solitons in the meger. rc: The core radius from the Schive profile. rs: The characteristic radius from the NFW profile. logrc: base 10 logarithm of rho_c. M200: Mass of the configuration when the density is 200 times the critical density. MCore: Mass of the configuration obtained by using eq. 15.
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