Let m = Floor(2*Sqrt(q)) = 22. The Honda-Tate theorem shows that there does not exist an abelian threefold with Weil polynomial (x^2 + m*x + q)^3, so defect 0 is impossible.

Defect 1 is impossible as well due to the "resultant 1" method.

Now one can check that all the possibilities of Table 1 in the article for defect 2 are excluded (some because there is no elliptic curve with Weil polynomial x^2 + m*x + q, some because there is no abelian surface with Weil polynomial (x^2 + m*x + q)^2, some because of the "resultant 1" method and the last one because of the value of the fractional part of 2*Sqrt(q)).