Linksys Wireless-G Broadband Router Trouble

I have connected all the cables as instructed and they are connected securely and correctly. All lights are lit up except for the one connected to the computer (none of 1 thru 4). It is connected to a new e-machine. When I tried to connect the router through another computer (my laptop) it seems to work fine, but not with the desk top e-machine. Any suggestions/help would be appreciated. Yes I have called my internet provider(Charter/DSL) and I have called Linksys – they don’t care or can’t help me.