The evaluation formula conjecture for Macdonald superpolynomials

Let $F(x,\theta)$ be a polynomial in superspace of fermionic degree $m$, let $N\ge m$, and define

$$\mathsf E_{N,m}[F(x,\theta)]=\left[\frac{\partial_{\theta_m}\cdots\partial_{\theta_1}F(x,\theta)}{\Delta(x_1,\ldots,x_m)}\right]_{x_i=u_i},$$

where $u_i=t^{i-1}/q^{\max(m-i,0)}$ and $\Delta(x_1,\ldots,x_m)=\prod_{1\le i<j\le m}(x_i-x_j)$. Let $\mathcal S\Lambda$, $\mathcal F\Lambda$, $d^{\mathcal F}(\Lambda)$, $h^\downarrow_\Lambda$, $a'(s)$, and $l'(s)$ have the meanings specified in the source. Evaluation conjecture. If $\Lambda$ has fermionic degree $m$ and $N\ge\ell(\Lambda^{\circledast})$, then

$$\mathsf E_{N,m}[P_\Lambda(x,\theta;q,t)]=\frac{t^{n(\mathcal S\Lambda)+d^{\mathcal F}(\Lambda)}}{q^{(m-1)|\Lambda^a/\delta^m|-n(\Lambda^a/\delta^m)}h^\downarrow_\Lambda(q,t)}\prod_{s\in\mathcal S\Lambda}\left(1-q^{a'_{\Lambda^{\circledast}}(s)}t^{N-l'_{\Lambda^{\circledast}}(s)}\right).$$

This formula is one of the conjectures recalled from earlier work; the supplied text gives no resolution status for the full stated range.