The magic texture is one of the successful textures of the flavor neutrino mass matrix for the Majorana type neutrinos. The name “magic” is inspired by the nature of the magic square. We estimate the compatibility of the magic square with the Dirac, instead of the Majorana, flavor neutrino mass matrix. It turned out that some parts of the nature of the magic square are appeared approximately in the Dirac flavor neutrino mass matrix and the magic squares prefer the normal mass ordering rather than the inverted mass ordering for the Dirac neutrinos.

中文翻译：

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魔方和狄拉克味中微子质量矩阵

神奇纹理是马约拉纳型中微子风味中微子质量矩阵的成功纹理之一。“魔法”这个名字的灵感来自于魔方的本质。我们估计幻方与狄拉克而不是马约拉纳风味中微子质量矩阵的相容性。事实证明，幻方性质的某些部分近似地出现在狄拉克味中微子质量矩阵中，并且幻方更喜欢正常的质量排序而不是狄拉克中微子的倒置质量排序。