A space probe in the shape of the ellipsoid 16x"+ y"+ 42" =41 enters a planet's atmosphere and its surface begins to heat. After 1 hour, the temperature at the point (x,y,z) on the probe's surface is T(x,y,z) =32x" + 4yz - 16z + 604. Find the hottest point on the probe's surface. The hottest point is (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.)