  We present a method for computing hybrid static quark-antiquark potentials in
lattice QCD based on Laplace trial states. They are formed by eigenvector
components of the covariant lattice Laplace operator and their covariant
derivatives. The new method does not need complicated gauge link paths between
the static quarks and makes off-axis separations easily accessible. We show
first results for $\Sigma$ and $\Pi$ together with their excited states on a
dynamical ensemble.
