As I said before, your 2013 is a Gen 1 bike, (2010 thru 2013). 2014-on are Gen 2 bikes which have different dash units, different controls and other significant electronic differences. A manual that covers the 2012 will be exactly the same manual that covers the 2013, but a 2014 manual will NOT be for your bike. In the US the '12 and '13 bikes are identical except for paint colors. '14 bikes got different clutch baskets, CCT units, gauge units, added CC and internally controlled heated grips, etc. Yes, most of the engine and hard part torques will be the same. However, if you're going to go to the trouble and expense of buying a FSM, get the real one, and the correct one for your generation of Super Tenere.
My 2012 labeled manual is p/n LIT-11616-25-09 (I purchased it thru my local dealer in 2011 when I bought my 2012 model) The 2013 manual is the same p/n.
Yamaha Manual Store The specific manual that comes up when you look up the 49 state 2013 Super Tenere, (not the California model),
HERE for $89 direct from the official Yamaha source.