sage: g = Graph()
sage: 
g.add_edges([(0,1,1),(0,2,1),(0,3,1),(0,4,1),(0,5,1),(1,2,1),(2,3,1),(3,4,1),(4,5,1)])
sage: g.tutte_polynomial().subs(x=1,y=1)
66
sage: Matroid(g).tutte_polynomial().subs(x=1,y=1)
55

sage: f = Graph()
sage: f.add_edges([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(2,3),(3,4),(4,5)])
sage: f.tutte_polynomial().subs(x=1,y=1)
55
sage: Matroid(f).tutte_polynomial().subs(x=1,y=1)
55



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