Uncolored matrix representation of:
"Created by Iterating on Possible Rows"
0 1 2 3 4 5 0 1 2 3 4 5
Black cells balanced relationship
Grey cells unbalanced relationship
White cells represent no relationship

I6

λ6-6λ5+15λ4-20λ3+15λ2-6λ+1 = 0

cannonical image of graph

This is a cannonical image of the subseqent morphology, it's vertex numbers do not represent the graph shown