5.
给出下列四个命题:
\(①\)若直线\(l\)过抛物线\(y=2{x}^{2} \)的焦点,且与这条抛物线交于\(A\)、\(B\)两点,则\(\left|AB\right| \)的最小值为\(2;\)
\(②\)双曲线\(C: \dfrac{{x}^{2}}{16}- \dfrac{{y}^{2}}{9}=-1 \)的离心率为\( \dfrac{5}{3} ;\)
\(③\)若\(⊙{C}_{1}:{x}^{2}+{y}^{2}+2x=0 ⊙{C}_{2}:{x}^{2}+{y}^{2}+2y-1=0 \),则这两圆恰有\(2\)条公切线\(;\)
\(④\)若直线\({l}_{1}:{a}^{2}x-y+6=0 \)与直线\({l}_{2}:4x-\left(a-3\right)y+9=0 \)互相垂直,则\(a=-1\)
其中正确命题的序号是______\(.(\)把你认为正确命题的序号都填上\()\)