Conjur (kawn-jurr)
This is simply a different spelling of conjure--to cast a spell--as a nod to its Psychic typing. We've seen a few of these in Pokemon before, notably Sawk and Throh, and we've seen common words used in names such as Persian or Golem. In CAP, we have Fidgit, Strategem, Tomohawk, and a couple others.
Auroku (orr-oh-koo)
This combines aura with roku, the Japanese word for six. CAP has six wings.
Miramott (meer-uh-mott)
This combines mirage, a nod to its Illusion ability, with motte, the German word for moth.
Hexil (hecks-uhl)
Hex contains both hexa (six, as in the number of wings CAP has) and hex (a nod to its otherworldly or supernatural nature). The "il" is from illusion.
Hexere (heck-seer)
Much like the prior entry, this has hexa and hex in it. I added "ere" as a different version of seer, a nod to its Psychic typing.
Any suggestions?