Labeled molecule is connected Vertices : Solid torus 3, Triple 1, Edges : Edge 1 { Solid torus 1 ( 1 , 0 ) , Triple vertex 1 } (-9 1) (-1 0) Edge 4 { Triple vertex 1 , Solid torus 3 ( 2 , -1 ) } (1 0) (0 1) Edge 3 { Triple vertex 1 , Solid torus 4 ( -3 , -1 ) } (1 0) (0 1)
As you see, the molecule is actually a triod. The head of the triod is a triple vertex and is named "Triple vertex 1". The endpoints of legs of the triod are solid torus vertices named "Solid torus 1", "Solid torus 3", and "Solid torus 4".
The resulting manifold is obtained by Dehn filling the boundary components of the direct product (twice-punctured disc) by (circle), with parameters (-9,-1), (2,-1), (-3,-1). The parameters are written with respect to a certain natural coordinate systems on the boundary components of the direct product. Obviously, this is a Seifert manifold, more precisely, the Recognizer tells us that it is this manifold.