Maybe? Let's see....
int 0..pi/6 sec(y) dy = ln(3)/2 = ln(sqrt(3)) = ln(sqrt(3)*1) = ln(sqrt(3)*1^64)
So with the revised transmission, the cut off part can only equal 1, -1, i, -i, or any of sixty other complex numbers of the form cos(k*pi/32) + i*sin(k*pi/32), where k is an integer.
Math, yay?