  The ultrafine entanglement witness, introduced in [F. Shahandeh, M.
Ringbauer, J.C. Loredo, and T.C. Ralph, Phys. Rev. Lett. \textbf{118}, 110502
(2017)], can seamlessly and easily improve any standard entanglement witness.
In this paper, by combining the constraint and the test operators, we rotate
the hyperplane determined by the test operator and improve further the original
ultrafine entanglement witness. In particular, we present a series of new
ultrafine entanglement witnesses, which not only can detect entangled states
that the original ultrafine entanglement witnesses cannot detect, but also have
the merits that the original ultrafine entanglement witnesses have.
