Imaginary creatures

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Across
  1. 3. It lives in rocks and mountains, of Nordic origin.
  2. 6. It feeds on blood.
  3. 8. Ctesias wrote about it, but it also existed in Mesopotamia, China and India.
  4. 10. Their most well-known representative was the teacher of Achilles.
  5. 11. It has the body and tail of a lion, the head and wings of an eagle.
Down
  1. 1. It lives in water, usually falls in love with humans.
  2. 2. A symbol of rebirth.
  3. 4. It is of Irish origin.
  4. 5. Their most famous representative ate people alive, if they couldn't answer a riddle.
  5. 7. It is a dwarf, usually guarding treasures hidden in the earth.
  6. 9. One of them held the sky on his shoulders.