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Table 1:

Best-fit models of edge-on differentially rotating discs. The parameters $\Delta {\it v}_{\rm D}$ = 0.432 km s-1 and $D~\Omega_{\rm s0}$ = 0.064 km s-1 mas-1 are determined directly from the data and are common to all models. The distance to the source D = 2.7 kpc.
$\alpha$a pa $\gamma $a r1a Xa $\Omega_1$b ${\it v}_1$b $\rho_{\rm in}$, $\rho_{\rm out}$c $M_{\rm in}$, $M_{\rm out}$d
      [mas (AU)] [%] [km s-1 mas-1] [km s-1]   [$M_{\odot }$]
+0.7 4 0.005 0.2 (0.5) 4.45 0.213 0.04 10-7, 409.3 $1.4\times 10^{-23}$, 1.7
+0.6 4 0.007 0.4 (1.1) 3.58 0.239 0.1 10-7, 233.4 $5.1\times 10^{-21}$, 2.1
+0.5 4 0.009 0.8 (2.1) 2.81 0.255 0.2 10-7, 158.1 $9.6\times 10^{-18}$, 2.4
+0.4 4 0.01 1.1 (2.9) 2.70 0.279 0.3 10-7, 135.3 $7.4\times 10^{-17}$, 2.0
+0.3 6 0.005 14 (39) 2.92 0.110 1.6 10-7, 18.5 $7.2\times 10^{-13}$, 12.1
+0.2 6 0.01 18 (50) 3.06 0.086 1.6 10-7, 12.1 $2.3\times 10^{-11}$, 4.8
+0.1 6 0.05 32 (88) 3.07 0.055 1.8 10-7, 5.4 $1.3\times 10^{-9}$, 2.4
0 6 0.2 45 (123) 3.09 0.044 2.0 10-7, 3.2 $5.5\times 10^{-8}$, 1.8
-0.1 6 0.3 49 (133) 3.09 0.040 2.0 10-7, 2.8 $1.5\times 10^{-6}$, 1.4
-0.2 6 0.5 57 (153) 3.08 0.039 2.2 0.07, 2.4 0.2, 1.4
-0.3 6 0.7 63 (171) 3.07 0.038 2.4 0.07, 2.2 0.4, 1.5
-0.4 8 0.9 90 (242) 3.04 0.035 3.1 0.07, 1.7 1.5, 2.9
-0.5 10 1.0 110 (298) 2.99 0.032 3.5 0.07, 1.5 4.1
-0.5 12 1.0 160 (431) 3.04 0.031 4.9 0.07, 1.5 12
-0.5 12 1.0 220 (594) 3.07 0.031 6.8 0.07, 1.5 31
-0.5 12 1.0 440 (1187) 3.09 0.031 13.5 0.07, 1.5 245
-0.5 12 1.0 1000 (2700) 3.09 0.031 30.8 0.07, 1.5 2881
a The free parameters $\alpha$, p, $\gamma $ and r1 are determined from fits that minimise X, the error average over the entire central feature in the $p,{\it v}$-diagram (Eq. (14)).
b Equation (7) determines $\Omega_1$, the angular velocity at r1, and ${\it v}_1 = \Omega_1 r_1$ is the corresponding rotational velocity.
c Inner and outer radii (in multiples of r1) where the maser absorption coefficient drops to 5% of the maximum.
d Dynamical masses enclosed in $\rho_{\rm in}$ and $\rho_{\rm out}$ (Eq. (13)). Note that $\rho_{\rm in} = \rho_{\rm out}$ for Keplerian rotation, and the lower part of the table lists additional solutions for this case with progressively increasing central mass.

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