Characterize the behavior of this system:

0 1 1 1 0 1 1 0 1 0 1 0 
1 0 1 0 0 0 1 0 1 1 0 1 
0 1 0 0 0 0 1 1 0 1 0 0 
0 1 0 0 0 0 0 1 1 0 0 1 
0 1 0 0 1 1 1 0 0 0 0 0 
0 1 0 1 1 0 0 1 1 1 1 0 
0 1 1 0 0 1 0 1 1 0 1 0 
0 0 0 0 0 0 0 0 1 1 1 1 
1 0 1 0 0 1 1 0 0 1 1 0 
1 0 0 1 1 1 1 0 0 1 1 0 
0 0 0 0 0 1 0 1 0 1 0 1 
0 0 1 1 1 1 0 0 1 0 0 0 
Cycle 1 completed.
1 1 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 0 1 1 
0 1 1 1 1 0 0 1 1 0 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 
1 0 0 0 1 1 1 1 0 0 0 0 
0 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 0 1 1 1 1 
1 1 1 1 0 1 0 0 1 1 1 1 
1 0 1 0 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 0 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
Cycle 2 completed.
0 0 1 0 0 0 0 1 1 1 1 1 
0 1 0 0 0 1 0 0 1 0 0 0 
1 0 1 0 0 1 1 0 1 0 0 0 
0 0 0 0 1 1 0 1 1 0 0 0 
1 0 0 0 0 0 0 0 0 0 1 1 
0 0 1 0 0 1 0 0 1 0 0 0 
1 1 0 0 0 1 1 0 0 1 0 0 
0 0 1 0 1 0 1 1 1 1 1 0 
1 0 1 1 0 1 0 0 0 0 0 0 
0 0 0 0 0 1 0 0 1 0 0 1 
0 1 0 0 0 0 0 1 0 1 0 0 
0 0 0 0 1 0 1 0 0 1 1 0 
Cycle 3 completed.
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 0 0 0 
1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 0 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 0 0 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
Cycle 4 completed.
1 1 0 0 0 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 1 0 0 0 
0 0 0 0 1 0 1 0 0 1 0 0 
0 0 0 1 1 0 0 0 0 1 0 0 
0 0 1 1 0 0 0 0 1 0 0 0 
1 0 1 0 0 0 0 0 1 0 0 1 
0 0 1 0 0 1 0 0 0 0 0 1 
1 1 0 0 0 0 1 1 0 1 0 1 
1 0 0 0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
1 1 0 0 0 1 0 0 0 0 0 1 
0 0 0 0 0 0 1 0 0 0 0 0 
Cycle 5 completed.
1 1 1 1 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 0 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
Cycle 6 completed.
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 1 0 0 0 0 1 0 0 
0 0 0 0 1 0 0 0 0 0 0 0 
0 1 1 1 0 1 0 0 0 1 1 0 
0 0 0 0 0 0 1 0 1 0 0 0 
0 0 0 0 1 0 0 0 0 0 1 0 
0 0 1 0 0 1 1 0 0 0 0 0 
0 0 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 1 0 1 0 0 0 
0 0 1 0 0 0 0 0 0 1 0 1 
Cycle 7 completed.
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
Cycle 8 completed.
0 0 0 0 0 1 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 

After all cycles:
0 0 0 0 0 1 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0