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Fig. 5.

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Best-fit Q* for SFDM restricted to the MOND limit (|ε|< 0.4) and MOND as a function of the observed flat rotation velocity, Vflat, for the q = 1 galaxies. For SFDM, some galaxies can barely satisfy the condition |ε|< 0.4 and therefore give a bad fit to the data. Their best-fit Q* is meaningless, and they are excluded from the SFDM fit results. Specifically, we exclude galaxies that have both ε > 0.38 and χ2 > 100. Left: best-fit Q* for SFDM and MOND. As discussed at the beginning of Sect. 5, a few galaxies fall below the lower boundary of the plot. Their values are (50.1, −1.25, −2.00), (65.2, −1.38, −2.00), and (66.3, −1.81, −2.00). Right: best-fit Q* values for SFDM relative to those for MOND. Gray arrows indicate two outliers with relatively large .

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