Parrot feather is a type of milfoil or Myriophyllum. Parrot feather is
Myriophyllum aquaticum. There are many kinds of milfoil. This store sells four species and includes photos so you can see.
http://www.walliscreekwatergarden.com.au/smallplants.htmlThe main difference between common and Eurasian milfoil versus parrot feather is that the leaves of the plant are skinny and fine and not as fluffy (each piece) than on the parrot feather. Parrot feather also tends to be a lighter green.