  In this short paper we discuss a number of effective and/or explicit results
of Andre-Oort type for the nonholomorphic function "$\chi^*$", which I have
discussed in a number of other papers. After working in a rather ad-hoc manner
to get some good estimates on the tails of the $q$-expansions involved, we
prove weak effective Andr\'e-Oort results for $\chi^*$, which mimic but are not
full analogues of effective Andr\'e-Oort results known due to
K\"uhne/Bilu-Masser-Zannier for the classical modular function $j$. Then we go
on to discuss what we call an "explicit" result; that certain triples of
special points cannot often be collinear, looking for an analogue of results
known for $j$. Again we cannot get a perfect analogy, but we do prove a weaker
result and discuss what remains to be proved to complete this. An important
result which arises as a side-effect of the explicit calculation done here is
"Corollary 2.4", which affirms a conjecture I made in earlier papers, that for
a quadratic point $\tau$ we have $\mathbb{Q}(j(\tau)) =
\mathbb{Q}(\chi^*(\tau))$. Although it appears here somewhat tangentially, it
may be the most significant result in the paper.
