The CKM matrix with maximal CP violation from Z12 symmetry

The recent accurate determination of the CKM parameters including the maximal CP phase π2 enables us to write down the up-type and down-type quark mass matrices to a high degree of accuracy. The lightest element (u¯u element) of the quark mass texture (not the mass eigenvalue) has a power λ6 where λ=sinθC. The CP phase of 2π divided by an integer hints a discrete symmetry. Since λ6 is the highest power of λ among the quark mass matrix elements, we present as an example a possibility that the maximal CP phase π2 is obtainable from a supersymmetric Z12 discrete symmetry model.