In order to compute the order of the jacobian varieties of hyperelliptic curves over finite fields I need a function in Sage to choice a random point on jacobian group of hyper elliptic curves. Some line of my programming are as follow : sage: k.<x>=GF(p^a,'x'); sage: f=x^7+93*x^6 + 64*x^5 + 2*x^4 + 65*x^3 +90* x^2 + 18*x + 10; sage: C=HyperEllipticCurve(f) sage: J=C.Jacobian() Now I'm looking for a function as : D:=Random(J) Is there a such function in sage ? I know there exist a such function in magma ,but I don't have access to magma.
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