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Subsidiary Maxima in Multiple Slit Interference: Algebraic Equations

We present an analytical and numerical study on the subsidiary maxima in multiple slit interference with slit numbers between 12 and 31. By using the equation for the existing condition of the subsidiary maxima, we express the intensities at the maxima in a succinct analytical form. We also obtain algebraic equations for the phases for the subsidiary maxima with slit numbers between 12 and 31.