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Hedden defined two knots in each lens space that, through analogies withtheir knot Floer homology and doubly pointed Heegaard diagrams of genus one,may be viewed as generalizations of the two trefoils in S^3. Rasmussen showsthat when the `left-handed' one is in the homology class of the dual to a Bergeknot of type VII, it admits an L-space homology sphere surgery. In this note wegive a simple proof that these L-space homology spheres are always thePoincar\'e homology sphere.

The Poincare homology sphere and almost simple knots in lens spaces