We present several conjectures on the behavior and clustering properties of Jack polynomials at negative parameter α=-k+1/r-1, of partitions that violate the (k,r,N) admissibility rule of Feigin et. al. [feigin2002]. We find that "highest weight" Jack polynomials of specific partitions represent the minimum degree polynomials in N variables that vanish when s distinct clusters of k+1 particles are formed, with s and k positive integers. Explicit counting formulas are conjectured. The

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... clustering conditions are useful in a forthcoming description of fractional quantum Hall quasiparticles.