Great!  
Glad it got figured out.

--Sherlock Holmes

The symptoms suggest that in your expression for w[q_] there is an invisible character in it.  That would account for your mysterious power of 2 in the second term of Out[44].

One way you might find if this is the case is to execute 
 though I am not sure if it would show....  but if you post the notebook intself as Bruce suggests it should be easy to see if this is the case


An unrelated suggestion: never use the letter l (ell) as a variable on its own. It is almost (and for some fonts completely) indistinguisable from the number 1 (one).