Lagostina Pots Is The Magnet Test Enough (i.e., It Sticks To Bottom Of Pot) To Be Sure That It Is Safe For Induction Cooking?

Is the magnet test enough (i.e., it sticks to bottom of pot) to be sure that it is safe for induction cooking? - lagostina pots

I went to a place with an induction cooktop. I have an old set of cookware, Lagostina but good. I can not test yet of the magnetic (B / C now packed), but I tried it in a pan and hard cost IKEA (it does not stick to my nice pan - Oh Well). I just want to be sure it is not enough, and there is nothing else should be considered.
Thank you!