  Holography can provide a microscopic interpretation of a gravitational
solution as corresponding to a particular CFT state: the asymptotic expansion
in gravity encodes the expectation values of operators in the dual CFT state.
Such a correspondence is particularly valuable in black hole physics. We study
supersymmetric D1-D5-P black holes, for which recently constructed microstate
solutions known as "superstrata" provide strong motivation to derive the
explicit D1-D5 holographic dictionary for CFT operators of total dimension two.
In this work we derive the explicit map between one-point functions of scalar
chiral primaries of dimension (1,1) and the asymptotic expansions of families
of asymptotically AdS$_3\times$S$^3 \times$M supergravity solutions, with M
either T$^4$ or K3. We include all possible mixings between single-trace and
multi-trace operators. We perform several tests of the holographic map,
including new precision holographic tests of superstrata, that provide strong
supporting evidence for the proposed dual CFT states.
