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Table 6

Diagnostics of spatial statistics in ALMAGAL clumps.

ALMAGAL ID N Q−para a a NMSRcritMathematical equation: $N_{MSR}^{crit}$b ΛMSTmaxMathematical equation: $\Lambda_{MST}^{{max}}$b NMSTmaxMathematical equation: $N_{MST}^{{max}}$b MSIc MS Flagd Prob1e Prob2e
AG010.2283-0.2064 9 0.78 0.38 0.49 1.154
AG010.3226-0.1599 11 0.71 0.42 0.59 1.011
AG011.9039-0.1403 11 0.65 0.46 0.70 5 3.50 2 1.854 Rob MS 1.000
AG011.9183-0.6122 13 0.72 0.36 0.51 1.223
AG011.9370-0.6160 22 0.85 0.39 0.46 3 2.71 3 1.368 Pos MS
AG012.2087-0.1017 23 0.80 0.50 0.63 1.574
AG012.6794-0.1830 8 0.61 0.46 0.76 2 0.57 2 0.799 Pos Inv MS
AG012.7360-0.1031 11 0.67 0.47 0.70 1.183
AG012.8535-0.2265 11 0.70 0.57 0.82 1.170
AG012.8887+0.4890 15 0.70 0.38 0.54 4 6.37 2 2.209 Rob MS 1.000
AG012.9008-0.2404 10 0.62 0.60 0.95 2 2.58 2 1.218 Rob MS 0.964
AG012.9048-0.0306 14 0.60 0.36 0.61 2 0.50 2 0.862 Rob Inv MS 0.992
AG012.9084-0.2604 23 0.89 0.68 0.77 4 2.91 4 1.484 Rob MS 0.948
AG012.9156-0.3341 8 0.75 0.49 0.66 4 3.02 4 2.060 Rob MS 0.930

Notes. (a) Mean edge length of cluster MST, ; the cluster correlation length, ; and the Q parameter defined as Q=/, following Cartwright & Whitworth (2004). (b) Quantities of the mass segregation ratio (MSR) profile: maximum number of cores for which MSR profile is different from unity, NMSTcritMathematical equation: $N_{M S T}^{{crit}}$; the MSR maximum value, ΛMSRmaxMathematical equation: $\Lambda_{M S R}^{max}$; and its corresponding number of cores, NMSTmaxMathematical equation: $N_{M S T}^{max}$. These quantities are measured only in the 110 systems where the mass segregation (MS) is assessed. (c) Mass segregation integral, MSI, defined by Xu et al. (2024). (d) Flags reporting whether a signature of direct (Pos MS) or inverse (Pos Inv MS) mass segregation is found and if it is robust (additional flag Rob) against the Monte Carlo simulations described in the text. (e) Probability of presence of of direct (Prob1) or inverse (Prob2) mass segregation evaluated with Monte Carlo simulations. The complete version of this table is available at the CDS.

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