Line \( L_{1} \) passes through the point \( (1,2,3) \) and is parallel to \( z \)-axis. Line \( L_{2} \) passes through the point \( (\lambda,5,6) \) and is parallel to \( y \)-axis. Let for \( \lambda = \lambda_{1}, \lambda_{2}, \lambda_{2} < \lambda_{1} \), the shortest distance between the two lines be \( 3 \). Then the square of the distance of the point \( (\lambda_{1}, \lambda_{2}, 7) \) from the line \( L_{1} \) is:
