# Let H620 be the Gauss Hypergeometric Differential Equation with exponent difference (1/6,1/2,0).
# Let H620(f) be the differential operator obtained after applying the "change of variables" f on H620.
# This table contains ALL (12) Belyi minus 1 maps f such that H620(f) has 5 non removable singularities.
# The second element on each entry gives the list of exponent differences of H620(f). 



Belyi_one_620 := [[s*x*(x-1), [0, 1/6, 1/6, 1/2, 1/2]], [s/(x*(x-1)), [0, 0, 1/3, 1/2, 1/2]], [-s*x^3+2*s*x^2-s*x+1, [0, 1/6, 1/6, 1/6, 1/2]],
 [(s-x)^2*x/((s*x-3*x+2)*(s-1)), [0, 0, 1/6, 1/3, 1/2]], [-1/(s*x^3-2*s*x^2+s*x-1), [0, 0, 0, 1/2, 1/2]], [-s*x^4+2*s*x^3-s*x^2+1,
 [0, 1/6, 1/6, 1/6, 1/6]], [-(1/2)*(-8*s*x^2+s^2+6*s*x-3*x^2+2*x)/((2*x-1)^3*x), [0, 0, 1/6, 1/6, 1/3]], [-4*s*(s*x^2-x-1)*x^2/(x+1)^2,
 [0, 0, 1/6, 1/6, 1/3]], [-2*(2*x-1)^3*x/(-8*s*x^2+s^2+6*s*x-3*x^2+2*x), [0, 0, 0, 1/6, 1/2]], [-(1/4)*(x+1)^2/(s*(s*x^2-x-1)*x^2), 
 [0, 0, 0, 1/3, 1/3]], [-1/(s*x^4-2*s*x^3+s*x^2-1), [0, 0, 0, 0, 2/3]], [-x^6/(s*(3*x-2)*(2*x^3+3*s*x-2*s)), [0, 0, 0, 0, 0]]]: