Answer: You should cut the faded flower stems off to prevent the plant from setting seed. You can do this as soon as the flowers fade. This allows it to put its energy into the bulb instead of seeds so it will bloom better next year.
You must allow the foliage to grow, then fade and die back, naturally. Do not remove it until it has dried up on its own. This is the process by which the bulb rebuilds its strength to bloom next year. Once it is dried up, go ahead and remove it.
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