  The antisymmetric square of the adjoint representation of any simple Lie
algebra is equal to the sum of adjoint and $X_2$ representations. We present
universal formulae for quantum dimensions of an arbitrary Cartan power of
$X_2$. They are analyzed for singular cases and permuted universal Vogel's
parameters. $X_2$ has been the only representation in the decomposition of the
square of the adjoint with unknown universal series. Application to universal
knot polynomials is discussed.
