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Fig. A.1.

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We use the velocity distribution given in Mao et al. (2013), with (v0/vesc, p)=(0.13, 0.78) and Mlens = 10−2.2M. Here the core size is 237 32 + 34 $ 237^{+34}_{-32} $ ( 2 . 37 0.06 + 0.06 $ 2.37^{+0.06}_{-0.06} $ in magnitude) and the f MDMS = 0 . 0096 0.0005 + 0.0006 $ f_{\mathrm{MDMS}} = 0.0096^{+0.0006}_{-0.0005} $. The one-sigma range still overlaps with the Gaussian cases.

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