CASA Function: rationalPoint

Compute a rational point on a conic.

f : polynom

r : list(string=anything)

The function decides whether there is a rational point on the conic defined by f, and if so, computes one. The coefficients of f may be in Q or in Q(t) (and hence the coordinates of a rational point have to be in Q or in Q(t) respectively). Additional information is provided by rationalPoint: the decision whether f defines a parabola or not, the irreducibility of the conic, the time needed for the calculation, and g evaluated at the computed point (i.e. 0).

> rationalPoint(x^2-4*x*y-3*y^2+4*x+8*y-5);