NGC 4945 is one of the nearest (~3.8 Mpc; 1 ~ 19 pc) starburst galaxies. ALMA band 3 (3--4,mm) observations of HCN, HCO+, CS, C3H2, SiO, HCO, and CH3C2H were carried out with ~2 resolution. The lines reveal a rotating nuclear disk of projected size 10 x 2 with position angle ~45 deg, inclination ~75 deg and an unresolved bright central core of size <2.5. The continuum source (mostly free-free radiation) is more compact than the nuclear disk by a linear factor of two but shows the same position angle and is centered 0.39 +_ 0.14 northeast of the nuclear accretion disk defined by H2O maser emission. Outside the nuclear disk, both HCN and CS delineate molecular arms on opposite sides of the dynamical center. These are connected by a (deprojected) 0.6 kpc sized molecular bridge, likely a dense gaseous bar seen almost ends-on, shifting gas from the front and back side into the nuclear disk. Modeling this nuclear disk located farther inside <100 pc) with tilted rings indicates a coplanar outflow reaching a characteristic deprojectd velocity of ~50 km/s. All our molecular lines, with the notable exception of CH3C2H, show significant absorption near the systemic velocity (~571 km/s), within a range of ~500-660 km/s. Apparently, only molecular transitions with low critical H2-density do not show absorption. The velocity field of the nuclear disk, derived from CH3C2H, provides evidence for rigid rotation in the inner few arcseconds and a dynamical mass of M = (2.1+_0.2) x 10^8 Mo inside a galactocentric radius of 2.45, with a significantly flattened rotation curve farther out. Velocity integrated line intensity maps with most pronounced absorption show molecular peak positions up to 1.5 southwest of the continuum peak, presumably due to absorption, which appears to be most severe slightly northeast of the nuclear maser disk.
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