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Fig. 4
Transition redshift, ztr, in a polytropic-DM model as a function of the polytropic exponent, Γ (blue solid curve). The constraint ztr ≥ 0 yields Γ ≤ 0.541, while the condition q> −1 results in Γ > −0.377 below which the Universe enters in the phantom realm (red dashed curve).
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