these things together you know ignoring the little differences this actually leads us to an estimation of the gradient decent threshold that is about 13.8 so if i put it back onto this axis i showed you that the numerics this constant starting from which gradient descent is working looks like 7 from approximated theory we get something like 13.8 so we are not sure where the discrepancy comes from whether it is finite size effects and the numerics would actually converge to the 13.8 or whether it is the small difference