Just to set expectations, a fishless cycle that hasn't used seeding material from an established tank is going to take a few weeks (approx a month). I know its a long time to look at an empty tank, but it beats doing near daily water changes and having fish that are weakened from ammonia and nitrite exposure.
The nitrite reading must be wrong, esp if you only dosed ammonia once.
You want to get the ammonia up to 4ppm for the first dose. Once it goes down to 0 you can either add a shrimp (from the grocery store) to rot or add enough ammonia to get it up to 1 - 2
ppm once a day.
It took me about 5 days before I saw any nitrites. The nitrite spike (where it reached 5ppm) took a good long time and it stayed there longer than I could tolerate (impatience - the enemy of aquariums !). I gave in and used a product called Bio-Spira, which is another option you might want to consider.
Bio-Spira is a refrigerated product that contains the bacteria that converts ammonia to nitrites and nitrites to nitrates. You can do a search on Bio-Spira to see other's experiences with it. I got a good batch and within 4 days of adding it my cycle was finished.
I personally wouldn't use products like "Cycle" that sit on the shelf but some people have found that a product called "Stability" works, even tho its not refrigerated. I don't think there are any scientific studies (I could be wrong) - everything I'm saying here is purely anecdotal and based upon my experience and what I've read in the forum.
Be patient and use this time to really think about your stocking list. You now have plenty of time to make up your mind, change your mind, make up your mind again and then really figure out what you want