I chose my name like I do all names when I don't have a name in mind. I start with a letter and work from there until I have a name I like. Though coincidentally "Lios" is also a character in the Dot Hack series, and not a week goes by when I don't get asked the question "Are you named after Lios from Dot Hack?", or something along those lines.
Also I will never forget the time in Global when ninjaspartan misspelled my name "Lois". Never Forget.