  Based on the ab initio calculations, we show that MoTe2, in its
low-temperature orthorhombic structure characterized by an X-ray diffraction
study at 100 K, realizes 4 type-II Weyl points between the N-th and N+1-th
bands, where N is the total number of valence electrons per unit cell. Other
WPs and nodal lines between different other bands also appear close to the
Fermi level due to a complex topological band structure. We predict a series of
strain-driven topological phase transitions in this compound, opening a wide
range of possible experimental realizations of different topological semimetal
phases. Crucially, with no strain, the number of observable surface Fermi arcs
in this material is 2 - the smallest number of arcs consistent with
time-reversal symmetry.
