I've been thinking, and I think I've gotten something...
From 2003 (year freelancer was made) to lets say, 3,000, just guessing how long in the future we were before A.S., so that's 997 years already, then add the time it took the sleeper to land, not sure how fast they were traveling, but even at the speed of light it would take a mighty long time, so I'm going to add 5,000 years, so now were at 6,000 years, plus the 816, so 6,816 years from 2003. Maybe even more, it really all depends on the amount it took the sleeper to reach Sirius..
This is all depends on my guessing, comments or thoughts?
Years to travel (from this moment before comments): 6,816