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Table 1

Fitting coefficients of Eq. (6) and βd for each of the point sets in Figs. 4 and 5.

Simulations Polytropic index A B C D E β d

GRR 5/3 3.1647 6.3777 3.1797 3.4137 2.4616 0.90
gizmo mfm 5/3 5.4722 11.764 6.3204 3.8172 2.8919 0.91
gadget2 5/3 8.9696 19.111 10.180 4.2964 3.3231 0.93
gizmo modern SPH 5/3 8.7074 18.358 9.6760 4.5340 3.5914 0.94
GRR 4/3 12.996 31.149 12.865 5.3232 6.4262 1.85
gizmo mfm 4/3 13.964 11.217 2.1168 0.3930 0.5475 2.00
gadget2 4/3 15.378 5.2385 6.3635 1.5122 5.7378 2.02
gizmo modern SPH 4/3 10.394 0.2160 2.6421 0.8804 2.9215 2.02

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