Thank you Martin for the link to Ptolemy (trans. Robbins).
Here is the passage in question :
by day we must give first place to the sun, if it is in the prorogative places; if not, to the moon; and if the moon is not so placed, to the planet that has most relations of domination to the sun, to the preceding conjunction, and to the horoscope; that is, when, of the five methods of domination that exist, it has three to one, or even more; but if this cannot be, then finally we give preference to the horoscope. By night prefer the moon first, next the Sun, next the planets having the greater number of relations of domination to the moon, to the preceding full moon, and to the Lot of Fortune; otherwise, finally, if the preceding syzygy was a new moon, the horoscope, but if it was a full moon the Lot of Fortune.
So, the preceding new moon can serve in a day chart, the preceding full moon in a night one (as in this case). But it is clear that Ptolemy wants not the place of syzygy (or of the horoscope or the lot of fortune) to be taken, but "the planet that has most relations of domination... that is, when, of the five methods of domination that exist, it has three to one, or even more". Only if all this fails is the horoscope itself to be taken (in a day chart, or a night chart in which the preceding syzygy was a NM), and the lot of fortune itself in a night with a preceding FM.
Doubtless other authorities have slightly different rules, but according to Ptolemy, in this night chart we should look, in order, at the Moon (no: below horizon), the Sun (ditto), then the planets having most (at least 3) rulerships over the Moon, preceding FM or lot of fortune, in that order (so I get tangled up in which triplicities, terms and faces to use...). If all that fails, then we take the lot of fortune itself: "finally, if the preceding syzygy was a new moon, the horoscope, but if it was a full moon the Lot of Fortune".
In no case it seems, in a night chart preceded by a FM, would we take the horoscope. Any chosen planet or point has to be in houses 10, 1, 11, 7 - not clear which sort of houses, though since he mentions the midheaven, perhaps not, in theory, whole sign ones, unless he's talking more loosely about the places. In any case, there are no planets or Fortune so placed in this chart, and the preceing syzygy was Full, so according to Ptolemy's rules in this translation, there seems to be no hyleg in this chart. No wonder he died young...
Graham