  Given a pseudoconvex hypersurface in C^n and an arbitrary weight, we show the
existence of local coordinates in which the polynomial model contains a
particularly simple sum of squares of monomials. Our second main result
provides a normalization of a part of any Catlin boundary system. We illustrate
by an example that this normalization cannot be extended to the rest of the
boundary system due to the existence of what we refer to as torsion.
