Let $A$ be an abelian variety over $\mathbb{F}_p$.
Then of course for every natural number $i$, we have that $\# A(\mathbb{F}_{p^i})$ divides $\# A(\mathbb{F}_{p^{i+1}})$.

But MAGMA says this is false:
Here is my code:

    P<x> := PolynomialRing((FiniteField(3)));
    J := Jacobian(HyperellipticCurve(x^6 - 2 * x^5 + x^4 - 2 * x^3 + 6 * x^2 - 4 * x + 1));
    for j in [1..10] do;
        Order(BaseChange(J, FiniteField(3, j)));
    end for;

And the result is:

   19
   57
   1444
   5529
   59299
   467856
   4976347
   43264425
   394975876
   3458495577


What is wrong?