Research Article

Polynomial Roots and Calabi-Yau Geometries

Figure 3

(a) The conformal map takes the left half of the critical strip to the inside of the unit disk, with the boundaries mapped as shown by the arrows. It takes the mirror image, in the right half of the critical strip, to the complement of the unit disk. The inverse map is given by . (b) The position of 50000 randomly integer monic palindromic sextic polynomials with vanishing linear/quintic terms and with coefficients ranging in , applying the map .
719672.fig.003a
(a)
719672.fig.003b
(b)