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Table 1:

Summary of the parameter grid used in our modela.

Caseb
$\Omega_0$ $c_{\rm s}$ M0 $t_{\rm acc}$ $\tau_{\rm ads}$ $M_{\rm d}$
  (s-1) (km s-1) ($M_\odot $) (105 yr) (105 yr) ($M_\odot $)

1
10-14 0.19 1.0 6.3 14.4 0.22
2 10-14 0.19 0.5 3.2 3.6 0.08
3 (std) 10-14 0.26 1.0 2.5 2.3 0.05
4 10-14 0.26 0.5 1.3 0.6 0.001
5 10-13 0.19 1.0 6.3 14.4 0.59
6 10-13 0.19 0.5 3.2 3.6 0.25
7 (ref) 10-13 0.26 1.0 2.5 2.3 0.43
8 10-13 0.26 0.5 1.3 0.6 0.16
a $\Omega_0$: solid-body rotation rate; $c_{\rm s}$: effective sound speed; M0: initial envelope mass; $t_{\rm acc}$: accretion time; $\tau_{\rm ads}$: adsorption timescale for H2O at the edge of the initial cloud; $M_{\rm d}$: disk mass at $t_{\rm acc}$.
b Case 3 is our standard parameter set and Case 7 is our reference set.

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