  A perfect cuboid is a rectangular parallelepiped whose edges, whose face
diagonals, and whose space diagonal are of integer lengths. The second cuboid
conjecture specifies a subclass of perfect cuboids described by one Diophantine
equation of tenth degree and claims their non-existence within this subclass.
This Diophantine equation has two parameters. Previously asymptotic expansions
and estimates for roots of this equation were obtained in the case where the
first parameter is fixed and the other tends to infinity. In the present paper
reverse asymptotic expansions and estimates are derived in the case where the
second parameter is fixed and the first one tends to infinity. Their
application to the perfect cuboid problem is discussed.
