Some new q-supercongruences modulo the fourth and fifth powers of a cyclotomic polynomial

We give some new [Formula: see text]-supercongruences modulo the fourth and fifth powers of a cyclotomic polynomial, respectively. One of them is related to the following congruence due to Deines, Fuselier, Long, Swisher, and Tu: for primes [Formula: see text], [Formula: see text] where [Formula: see text] denotes the [Formula: see text]-adic Gamma function. Our proof relies on Watson’s [Formula: see text] transformation and the “creative microscoping” method introduced by the first author and Zudilin.