all Seifert fibered surgeries arise

from Dean's primitive/Seifert-fibered construction.

We construct two infinite families of knots each of which admits

a Seifert fibered surgery

with none of these surgeries coming

from Dean's primitive/Seifert-fibered construction.

This disproves the conjecture.

The starting point is the $(-3,3,5)$ pretzel knot which

belongs to both of the infinite families.