I'm really sorry, but I'm just now putting two and two together... You said "empty" and I read that, but for some reason when you said "cycled", I didn't even consider the fact that you already have water in there... from what I've read (and I've never tried otherwise), you should be using distilled water for hatching the eggs... once the triops have matured for a few days, tap water is acceptable (or a cycled aquarium).

If you did use a cycled aquarium with water, please let me know how it turns out... its annoying to have to buy so much distilled water. If it turns out bad, then I'm very sorry that I misread your post and accidentally gave you bad advice. Hopefully u saved some of the eggs?

If you haven't saved any eggs and/or are worried, and can see the eggs in the aquarium, you could try scooping them out, and then putting them in something like a clean spaghetti jar (no soap!), or the container from your kit filled with distilled water and the "nutrients" that comes with the kit. If that doesn't work, try drying the eggs out for a few days (up to 2 weeks if there is also substrate), and then add to distilled water+nutrients. It should take no longer than 3 days for eggs to hatch. Usually takes 1 for me, sometimes 2, rarely 3. I have once seen an egg hatch about 19 or 20 days later, but this is a very exceptional occurrence. This in mind, you might just wanna wait three days before drying the eggs, just to make sure the hatching process isn't going to begin in the cycled water.

Thankfully the eggs are pretty tough little guys... and a little switcheroo or a dry-out hopefully won't kill or harm them badly.