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Polynomial Roots and Calabi-Yau Geometries

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Figure

Figure 1: The position, on the complex plane, of the zeros of 50000 random integerpolynomials with coeffcients −1, 0 or 1, for degrees upto 4, in part (a), 6, in part (b) and10, in part (c).
Figure 2: (a) The position, on the complex plane, of the zeros of 50000 random integerdegree six polynomials with coefficients between 0 and 1000
Figure 3: (a) The conformal mapinside of the unit disk, with the boundaries mapped as shown by the arrows
Figure 4: (a) The Hodge numbers, with h1,1 as the abscissa and h2,1, the ordinate, of allthe known Calabi-Yau threefolds
+7

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