If the variable line \( 3x + 4y = \alpha \) lies between the two circles \( (x - 1)^2 + (y - 1)^2 = 1 \) and \( (x - 9)^2 + (y - 1)^2 = 4 \), without intercepting a chord on either circle, then the sum of all the integral values of \( \alpha \) is __________ .