Qm.n with m<0 (very small tensor elements)

My question is about the Qm.n format when m<0.

Assume I'm quantizing a network including a tensor somewhere (weights, output…) which contains only small values (for example, all included between -0.499 and 0.499 or even smaller, between -0.1 and 0.1).

Using Qm.n format, we could set m = -1 for the range [-0.499, 0.499] and m = -3 for the range [-0.1, 0.1].
Is it possible to reproduce this in QKeras?

I tried and it seems that integer (which corresponds to the m of the Qm.n format) cannot be set equal to a negative value, is that correct? In this hypothesis, what are the correct values of integer and alpha (and other parameters) in these two cases (range [-0.499, 0.499] and range [-0.1, _0.1]), provided that I cannot retrain the network (because I don’t have the training set)?

The answer to this question could help us understand how QKeras works, and whether workarounds are necessary for this case.