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We provide a combinatorial interpretation of the symmetric function
$\left.\Theta_{e_k}\Theta_{e_l}\nabla e_{n-k-l}\right|_{t=0}$ in terms of
segmented Smirnov words. The motivation for this work is the study of a
diagonal coinvariant ring with one set of commuting and two sets of
anti-commuting variables, whose Frobenius characteristic is conjectured to be
the symmetric function in question. Furthermore, this function is related to
the Delta conjectures. Our work is a step towards a unified formulation of the
two versions, as we prove a unified Delta theorem at $t=0$.
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