We report observations of polarized line and continuum emission from the disk of TW Hya using the Atacama Large Millimeter/submillimeter Array. We target three emission lines, 12 CO (3-2), 13 CO (3-2) and CS (7-6), to search for linear polarization due to the Goldreich-Kylafis effect, while simultaneously tracing the continuum polarization morphology at 332 GHz (900 µm), achieving a spatial resolution of 0.5 (30 au). We detect linear polarization in the dust continuum emission; the polarization position angles show an azimuthal morphology, and the median polarization fraction is ∼ 0.2%, comparable to previous, lower frequency observations. Adopting a 'shift-and-stack' technique to boost the sensitivity of the data, combined with a linear combination of the Q and U components to account for their azimuthal dependence, we detect weak linear polarization of 12 CO and 13 CO line emission at a ∼ 10σ and ∼ 5σ significance, respectively. The polarization was detected in the line wings, reaching a peak polarization fraction of ∼ 5% and ∼ 3% for the two molecules between disk radii of 0. 5 and 1. The sign of the polarization was found to flip from the blue-shifted side of the emission to the red-shifted side, suggesting a complex, asymmetric polarization morphology. Polarization is not robustly detected for the CS emission; however, a tentative signal, comparable in morphology to that found for the 12 CO and 13 CO emission, is found at a 3σ significance. We are able to reconstruct a polarization morphology, consistent with the azimuthally averaged profiles, under the assumption that this is also azimuthally symmetric, which can be compared with future higher-sensitivity observations.< Leer menos