  We study, further, a conjectured formula for generalized two-qubit
Hilbert-Schmidt separability probabilities that has recently been proven by
Lovas and Andai (https://arxiv.org/pdf/1610.01410.pdf) for its real (two-rebit)
asserted value ($\frac{29}{64}$), and that has also been very strongly
supported numerically for its complex ($\frac{8}{33}$), and quaternionic
($\frac{26}{323}$) counterparts. Now, we seek to test the presumptive
octonionic value of $\frac{44482}{4091349} \approx 0.0108722$. We are somewhat
encouraged by certain numerical computations, indicating that this
(51-dimensional) instance of the conjecture might be fulfilled by setting a
certain determinantal-power parameter $a$, introduced by Forrester
(https://arxiv.org/pdf/1610.08081.pdf), to 0 (or possibly near to 0).
Hilbert-Schmidt measure being the case $k=0$ of random induced measure, for
$k=1$, the corresponding octonionic separability probability conjecture is
$\frac{7612846}{293213345} \approx 0.0259635$, while for $k=2$, it is
$\frac{4893392}{95041567} \approx 0.0514869, \ldots$. The relation between the
parameters $a$ and $k$ is explored.
