  For an L-space knot, the formal semigroup is defined from its Alexander
polynomial. It is not necessarily a semigroup. That is, it may not be closed
under addition. There exists an infinite family of hyperbolic L-space knots
whose formal semigroups are semigroups generated by three elements. In this
paper, we give the first infinite family of hyperbolic L-space knots whose
formal semigroups are semigroups generated by five elements.
