Answer:
Remembering that the core stems from an orthogonal model, we know that
the square of the elements is proportional to the variation explained by
the corresponding factor combination. Ergo, the three elements having the
values 96.27, -18.34 and 13.08 each represent the three most important
factor combinations. Note that the remaining factor combinations can be
regarded as being insignificant in the model of X.
We see that the elements correspond to indices (1,1,1), (1,2,2) and (1,3,3). From these combinations
we see that there is one very important factor, namely factor one
in the first mode (i.e. the first column of component matrix A).
This factor is a part of all the significant factor combinations.