One computational method suggests that the low spin complex was more stable, while the other said it was the high spin complex. so which one is correct?

Both of them.

Explanation:

By low or high spin complex we refer to all spins in the system (complex) aligned either up or down, which is normally simulated in Ising model. It means that all spins aligned, either up or down, like this:

∧ ∧∧ ∧∧ ∧∧ ∧

║║║║║║║║

(Those are arrows pointing up) are a stable configuration (lowest energy), as it actually occurs in ferromagnetic materials.

neither accurate nor precise.

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