large amounts and can explain the high density dependence of symmetry energy with great accuracy. favorable results with neutron and proton elliptic flow at E = 400 MeV/nucleon were also observed in 2011. In one of the studies, the softness of the symmetry energy with $\gamma_i=0.9$ is predicted by comparing the FOPI collaboration data with the neutron-to-proton elliptic flow ratio [@Ruso11]. In the same year, Cozma [*et al.*]{} [@Cozm11] predicted the softness of symmetry energy with $x$ = 2 by comparing the FOPI data with the neutron-to-proton elliptic flow difference. Even then uncertainty lies in the results, in terms of determination of symmetry energy: in the first study, symmetry energy is momentum independent, while in later one it is from momentum-dependent interactions. Moreover, the studies were limited to only 400 MeV/nucleon.

Let us examine some interesting features from the ratio parameters at supra-saturation densities. All the ratio parameters show sensitivity to the symmetry energy. In the literature, it is also claimed that $K^0/K^+$ and $\Sigma^-/\Sigma^+$ have more sensitivity than $\pi^-/\pi^+$ [@Q05; @Wolt09]. The sensitivities of all the parameters is checked in term of transverse momentum and rapidity distribution dependence [@Li02; @Li04; @Li07; @Q05; @Zhang10; @Yong06], while pion and kaon ratio 