$L= \left \{ a^nb^na^n \;|\; n\geq 1\right \}$
Complement of $L$, will consist of strings as
1. $\left \{ a^ib^ja^k \;|\; i \neq j \;or\;j \neq k \;or k \neq i \right \}$
2. All strings starts with $b$.
3. $a^*b^*$ or $b^*a^*$.
4. All strings contains $bab$ as substring.
5. May be something left, but regular
it will be CFL.