Section 5.2: Planar pentads

• We compute the irreducible decomposition of the rank-deficiency set using input_dim7.
  
     $ mpirun bertini input_dim7
  

• We compute the irreducible decomposition of the rank-deficiency set using input_dim6.
  
     $ mpirun bertini input_dim6
  

• We compute the irreducible decomposition of the rank-deficiency set using input_dim5.
  
     $ mpirun bertini input_dim5
  

• We compute the irreducible decomposition of the rank-deficiency set using an intersection based method. First, we computed the irreducible components for seven of the polynomials using input_dim4_start then we intersected the physically meaningful components with the other 5 polynomials uing input_dim4_finish.
  
     $ mpirun bertini input_dim4_start
     $ mpirun bertini input_dim4_finish