  Kricker constructed a knot invariant Z^{rat} valued in a space of Feynman
diagrams with beads. When composed with the so called "hair" map H, it gives
the Kontsevich integral of the knot. We introduce a new grading on diagrams
with beads and use it to show that a non trivial element constructed from
Vogel's zero divisor in the algebra \Lambda\ is in the kernel of H. This shows
that H is not injective.
