  We study numerically the solutions to the effective equations of Bianchi IX
spacetimes within Loop Quantum Cosmology. We consider Bianchi IX models with
and without inverse triad corrections whose matter content is a scalar field
without mass. The solutions are classified using the classical observables. We
show that both effective theories --with lapse N=V and N=1-- solve the big bang
singularity and reproduce the classical dynamics far from the bounce. Moreover,
due to the spatial compactness, there is an infinity number of bounces and
recollapses. We study the limit of large volume and show that both effective
theories reproduce the same dynamics, thus recovering general relativity. We
implement a procedure to identify amongst the Bianchi IX solutions, those that
behave like k=0,1 FLRW as well as Bianchi I, II, and VII_0 models. The
effective solutions exhibit Bianchi I phases with Bianchi II transitions and
also Bianchi VII_0 phases, which had not been studied before, at the quantum
nor effective level. We comment on the possible implications of these results
for a quantum modification to the classical BKL behaviour.
