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@nsirolli nsirolli released this 20 Mar 18:05

The main purpose of this new release is to make a correction in our code for the overpartition function. The code had a mistake in a data type (an int which should have been a slong).

After this correction, running the code yields that certain candidates which were claimed to be uninteresting in the paragraph following Proposition 5.2 in https://arxiv.org/abs/1911.05799v2 are actually interesting. More precisely, for $\ell = 3$ the primes $Q = 1151, 1439, 1487, 1583, 1823, 1871$ are interesting; the same holds for $\ell = 5$ and $Q = 719$, and for $\ell = 7$ and $Q = 1231$. For $\ell = 7$, the primes $Q = 223, 1567$ remain uninteresting.

The statement in Proposition 5.2 continues to hold after this fix. The aforementioned paragprah was corrected in https://arxiv.org/abs/1911.05799v3.

Besides this, a small enhancent was made in our main code regarding eta-quotients: we now compute the r number at a cusp in a simpler way, using the formula for the order of vanishing.