“…Moreover, this equation of integers can be lifted to the cluster algebra expressing the cluster variables as (numerators of) continued fractions of Laurent monomials [C ¸S18,Rab18]. In [LS19,BMS22] this connection was used to express the Jones and the Alexander polynomial of 2-bridge knots as specializations of cluster variables, and in [LLRS23] to study the order relation on Markov numbers.…”