We answer the question of how large the dimension of a quantum lens space must be, compared to the
primary parameter
,
for the isomorphism class to depend on the secondary parameters. Since classification results
in
-algebra
theory reduce this question to one concerning a certain kind of
-equivalence
of integer matrices of a special form, our approach is entirely combinatorial and based
on the counting of certain paths in the graphs shown by Hong and Szymański to
describe the quantum lens spaces.