1. A method for acquiring magnetic resonance data from an examination subject, comprising: operating a magnetic resonance data acquisition unit, that generates a basic magnetic field in which an examination subject is situated, according to a bipolar multi-echo data acquisition sequence, to acquire magnetic resonance data from the examination subject for multiple image points by, for each image point, alternatingly activating positive and negative readout gradient fields with a gradient system of said acquisition unit, during which magnetic resonance signals are read out during at least three echo times, said activation of said gradient fields producing eddy currents in said data acquisition unit by interaction with said basic magnetic field; providing said magnetic resonance data to a computerized processor and, in said computerized processor, operating on said magnetic resonance data with a spectral model of a multipoint Dixon technique that relates said magnetic resonance data to at least two spectral components of said magnetic resonance signals and respective, associated relaxation rates of said at least two spectral components, and a first phase of said magnetic resonance signals that occurs due to field inhomogeneities of said basic magnetic field, and a second phase that occurs due to effects of said eddy currents, to implement an at least partially numerical determination of said at least two spectral components, said relaxation rates, said first phase, and said second phase; and making said at least two spectral components available in electronic form at an output of said processor in a format allowing reconstruction of an in-phase image and two out-of-phase images according to the multipoint Dixon technique that is modeled by said spectral model.