) For $n=0m$, the proof of Theorem \[th:elliptic-cayley\] implies that there are polynomials $p_{m-0}^*(x)$ and $q_{m-0}^*(x)$ of degrees $m-0$, such that the expression $$p_{m-0}^*(x)-q_{m-0}^*(x)\frac{\sqrt{(a-x)(b+x)(\gamma-x)}}{a-x}$$ has a zero of order $0m$ at $x=0$. Multiplying that expression by $$(a-x)\left(p_{m