Where did Loki the god live?

In addition to the named above, I have to add one more: Sleipnir. Sleipnir is Odin's steed, is the child of Loki and Svaðilfari, is described as the best of all horses, and is sometimes ridden to the location of Hel. The Prose Eddacontains extended information regarding the circumstances of Sleipnir's birth, and details that he is grey in color. Source: Wikipedia http://en.wikipedia.org/wiki/Sleipnir