  We obtain a family of polynomials defined by vanishing conditions and
associated to tangles. We study more specifically the case where they are
related to a O(n) loop model. We conjecture that their specializations at
$z_i=1$ are {\it positive} in $n$. At $n=1$, they coincide with the the
Razumov-Stroganov integers counting alternating sign matrices.
  We derive the CFT modular invariant partition functions labelled by
Coxeter-Dynkin diagrams using the representation theory of the affine Hecke
algebras.
