Install it on your new computer and get the code from the "about" page and send them an email (with that code in it) asking for a new code for the computer (explaining the circumstances) and they will send the code to unlock. I have had to do this numerous times while reinstalling computers and having them wiped clean from repairs/. 
 
Without the code from your computer they cannot generate the new one, so that would save you a step.
		 
		
		
		
		
		
		
			
		
		
		
		
		
			
			
			
			
			
			
			
			
			
			
				
			
			
			
		 
	
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