Consider the following deterministic Turing Machine $M$ over input alphabet $=\{a,b\}$:

$-------------------$

$0$dotsdots $L1$

$0**R0$

$1b{?}_{(})L2$

$2a{?}_{(})L3$

$1{?}_{(}){?}_{(})*hal{t}_a$ccept

$3{?}_{(}){?}_{(})R0$

$3**L3$

$---------------------$

$1$State five strings that are in L$($M$),$ and five that are not. The strings should be over $\backslash$Sigma $.$

$2$