We present rest-frame Lyα equivalent widths (EW 0 ) of 417 Lyα emitters (LAEs) detected with Multi Unit Spectroscopic Explorer (MUSE) on the Very Large Telescope (VLT) at 2.9 < z < 6.6 in the Hubble Ultra Deep Field. Based on the deep MUSE spectroscopy and ancillary Hubble Space Telescope (HST) photometry data, we carefully measured EW 0 values taking into account extended Lyα emission and UV continuum slopes (β). Our LAEs reach unprecedented depths, both in Lyα luminosities and UV absolute magnitudes, from log (L Lyα /erg s −1 ) ∼ 41.0 to 43.0 and from M UV ∼ −16 to −21 (0.01 − 1.0 L * z=3 ). The EW 0 values span the range of ∼ 5 to 240 Å or larger, and their distribution can be well fitted by an exponential law N = N 0 exp(−EW 0 /w 0 ). Owing to the high dynamic range in M UV , we find that the scale factor, w 0 , depends on M UV in the sense that including fainter M UV objects increases w 0 , i.e., the Ando effect. The results indicate that selection functions affect the EW 0 scale factor. Taking these effects into account, we find that our w 0 values are consistent with those in the literature within 1σ uncertainties at 2.9 < z < 6.6 at a given threshold of M UV and L Lyα . Interestingly, we find 12 objects with EW 0 > 200 Å above 1σ uncertainties. Two of these 12 LAEs show signatures of merger or AGN activity: the weak Civ λ1549 emission line. For the remaining 10 very large EW 0 LAEs, we find that the EW 0 values can be reproduced by young stellar ages (< 100 Myr) and low metallicities ( 0.02 Z ). Otherwise, at least part of the Lyα emission in these LAEs needs to arise from anisotropic radiative transfer effects, fluorescence by hidden AGN or quasi-stellar object activity, or gravitational cooling.