  In this report, we study in detail the competitor to the FM metallic state at
electronic density $x=1/4$ in the CMR regime using the two-orbital
double-exchange model with Jahn-Teller lattice distortions on two-dimensional
clusters, employing a very careful large-scale cooling down process in the
Monte Carlo simulations to avoid being trapped in metastable states. Our
investigations show that this competing insulator has a very unexpected complex
structure, involving diagonal stripes with alternating regions with FM and
CE-like order. The level of complexity of this new state even surpasses that of
the recently unveiled spin-orthogonal-stripe states and their associated high
degeneracy. This new state complements the long-standing scenario of phase
separation, since the alternating FM-CE pattern appears even in the present
study which is carried out in the clean limit. The present and recent
investigations are also in agreement with the many "glassy" characteristics of
the CMR state found experimentally, due to the high degeneracy of the
insulating states involved in the process. Results for the spin-structure
factor of the new states are also here provided to facilitate the analysis of
neutron scattering experiments for these materials.
