Flux of diffeomorphism

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I try to solve the problem that find the Flux of diffeomorphism $T^2 \to T^2$ , $(\theta_1,\theta_2) \to (\theta_1+1/2,\theta_2+1/3)$, $\theta_i \in S^1$ in terms of the isomorphism $H^1(T^2;R)=R^2$