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the black dots are usually a good sign.. if there fungused they get cottony growth and usually turn white(hard to see through) this depends on the fish eggs actually.. I think I remember the convicts eggs we had (community tank they got ate quick) but Im pretty sure the are fairly clear..
the parents dont ususally eat fungused eggs.. most people remove them manually, but sometimes you end up damaging the good eggs in the process.. its a feel thing.. but it sounds like you dont have a fungus problem..
It sounds like you dont have a problem at all!!!