  "Tears of the heart" is a hyperbolic polycycle formed by three separatrix
connections of two saddles. It is met in generic 3-parameter families of planar
vector fields.
  In [arXiv:1506.06797], it was discovered that generically, the bifurcation of
a vector field with "tears of the heart" is structurally unstable. The authors
proved that the classification of such bifurcations has a numerical invariant.
  In this article, we study the bifurcations of "tears of the heart" in more
detail, and find out that the classification of such bifurcation may have
arbitrarily many numerical invariants.
