On my TC [see left column] the front tires are 36psi back 49 psi. When I rotate tires it takes about 40 miles before the low tire light comes on. THEN at next rotation, the light goes off [cannot tell how you when the light goes off]
I bet if you check in your owner's manual it will say that every time your tires are rotated you need to calibrate your car's computer again. I'm guessing it's looking for X tire at Y location, but since you rotated them, it's no longer there. Thus the error. But that's just a guess.