Standard biomarkers do not correlate with disease progression in childhood-onset cobalamin c disease

We study quark and lepton mass matrices with the common modulus τ in the A4 modular symmetry. The viable quark mass matrices are composed of modular forms of weights 2, 4 and 6. It is remarked that the modulus τ is close to i, which is a fixed point in the fundamental region of SL (2,Z), and the CP symmetry is not violated. Indeed, the observed CP violation is reproduced at τ which is deviated a little bit from τ=i. The charged lepton mass matrix is also given by using modular forms of weights 2, 4 and 6, where five cases have been examined. The neutrino mass matrix is generated in terms of the modular forms of weight 4 through the Weinberg operator. Lepton mass matrices are also consistent with the observed mixing angles at τ close to i for NH of neutrino masses. Allowed regions of τ of quarks and leptons overlap each other for all cases of the charged lepton mass matrix. However, the sum of neutrino masses is crucial to test the common τ for quarks and leptons. The minimal sum of neutrino masses ∑mi is 140 meV at the common τ. The inverted hierarchy of neutrino masses is unfavorable in our framework. It is emphasized that our result suggests the residual symmetry Z2S={I,S} in the quark and lepton mass matrices.