In a Carnot engine, when the temperatures are \( T_2 = 0^\circ C \) and \( T_1 = 200^\circ C \), its efficiency is \( \eta_1 \), and when the temperatures are \( T_1 = 0^\circ C \) and \( T_2 = -200^\circ C \), its efficiency is \( \eta_2 \). Then the value of \( \frac{\eta_1}{\eta_2} \) is: