Table A.1: Adopted standard magnitudes of the reference stars.
Star $g_{\rm SDSS}$ $r_{\rm SDSS}$ $i_{\rm SDSS}$
X 14.213 13.849 13.750
G 14.461 14.157 14.060
F 14.513 14.186 14.089
H 15.116 14.422 14.174
D 15.485 14.951a 14.770
E 15.816 15.217 15.018
R 17.879 16.801 16.419
a The SDSS catalogue seems to contain a wrong value of the r-SDSS magnitude of the D star ( $r_{\rm SDSS}$ = 15.674), so the D star would be fainter than the E star in this band. This disagrees with our current LT observations and several previous observations in the red region of the optical spectrum. Thus, the r-SDSS magnitude is inferred through the $r_{\rm SDSS}$ vs. VR relationship: $r_{\rm SDSS} = V - 0.89(V - R) + 0.39$. This law is based on the r-SDSS magnitudes of the rest of stars and the corresponding VR magnitudes in Tables 1, 2 of Ovaldsen et al. (2003b).

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