The momentum map of the spherical pendulum, with a certain gravity potential in which the north and south poles at the top and the equator at the bottom, will have a fiber with two focus-focus singular points. In this talk, we construct the symplectic invariants that classifies the germs at a fiber with an arbitrary number of focus-focus singularities. We will see how we can deform the model to split the fibers into two singular fibers.