Topology of a 3,10 Torus Knot

A 3,10 torus knot is a knot that loops around a 2-torus (or doughnut) three times with one continuously strand of string that winds through the center hole ten times. Is this 3,10 torus considered topologically equivalent to a 2-torus?

-
In the phrase "3,10 torus knot", the "3,10" modifies the noun phrase "torus knot". There is no such thing as a "3,10 torus", so your question does not really make any sense. If I have misunderstood something, please edit the question to clarify it. – MJD May 31 '12 at 2:08
@MarkDominus Perhaps OP is referring to the solid creating by turning the "strings" in a $(p,q)$-knot into three-dimensional tubes with nonzero volume, as in the Wikipedia illustration? – anon May 31 '12 at 2:28
That would be a sensible question! I wonder if that is what is being asked, and I hope OP will clear things up. – MJD May 31 '12 at 2:29