The Existence of a Large Set of Idempotent Quasigroups of Order \(62\)

In this article, we construct a large set of idempotent quasigroups of order 62. The spectrum for large sets of idempotent quasigroups of order \(n\) (briefly, \(LQ(n)\)) is the set of all integers \(n \geq 3\) with the exception \(n = 6\) and the possible exception \(n = 14\).