Coverings of torus knots in $S^2\times S^1$ and universals
  Let $t_{\alpha,\beta}\subset S^2\times S^1$ be an ordinary fiber of a Seifert fibering of $S^2\times S^1$ with two exceptional fibers of order $\alpha$. We show that any Seifert manifold with Euler number zero is a branched covering of $S^2\times S^1$ with branching $t_{\alpha,\beta}$ if $\alpha\geq3$.   We compute the Seifert invariants of the Abelian covers of $S^2\times S^1$ branched along a $t_{\alpha,\beta}$.   We also show that $t_{2,1}$, a non-trivial torus knot in $S^2\times S^1$, is not universal. 
V\'ictor N\'u\~nez and Enrique Ram\'irez-Losada and Jes\'us   Rodr\'iguez-Viorato
math.GT