Notes. ^(a) PosErr_max = max[max(RAerr), max(DECerr)]. ^(b) SysErr_max = PM ⋅ΔEpoch_max∕5, see Sect. 3.2. ^(c)This classification determines the algorithm used to calculate the cross-match, see Sect. 2. ^(d) See Arenou et al. (2018), Sect. 2.2, for an analysis of the effective angular resolution of Gaia DR2. ^(e) The maximum of the position error refers to the propagated errors at J2000.0. ^(f) Effective resolution value is our best guess (see Sect. 4). ^(g) Angular resolution in the four bands W1, W2, W3, and W4. ^(h)RAVE contains multiple observations of the same source, which are identified with the same RAVEID and a different RAVE_OBS_ID. The number reported in this table is the number of RAVE distinct sources. ⁽ⁱ⁾ Assumed for cross-match calculation, see Sect. 3. ^(j)For RAVE 5, we used roughly half the size in the sky of the fiber diameter of the multi-object spectrograph 6dF that was used to observe the RAVE sources.