Braid: 1 -2 3 Pseudo-Anosov Growth: 3.73205 Braid: 1 -2 3 Reducible Graph on surface with 5 peripheral loops: Vertex number 1 with image vertex 5: Edges at vertex are: 1 -1 6 Vertex number 2 with image vertex 4: Edges at vertex are: 3 -3 8 -7 Vertex number 3 with image vertex 3: Edges at vertex are: 5 -5 -9 Vertex number 4 with image vertex 1: Edges at vertex are: -2 -6 7 2 Vertex number 5 with image vertex 2: Edges at vertex are: -4 -8 9 4 Edge number 1 from vertex 1 to vertex 1: Type: Peripheral about puncture number 1 Image is: 4 Edge number 2 from vertex 4 to vertex 4: Type: Peripheral about puncture number 2 Image is: 1 Edge number 3 from vertex 2 to vertex 2: Type: Peripheral about puncture number 3 Image is: 2 Edge number 4 from vertex 5 to vertex 5: Type: Peripheral about puncture number 4 Image is: 3 Edge number 5 from vertex 3 to vertex 3: Type: Peripheral about puncture number 5 Image is: 5 Edge number 6 from vertex 1 to vertex 4: Type: Main Image is: -8 -3 -7 2 -6 Edge number 7 from vertex 4 to vertex 2: Type: Main Image is: 6 -2 7 3 8 -4 -8 -3 -7 Edge number 8 from vertex 2 to vertex 5: Type: Main Image is: 7 3 8 4 -8 Edge number 9 from vertex 5 to vertex 3: Type: Main Image is: 8 -4 9 Reducible Isotopy class The following main edges and their images constitute an invariant subgraph: 6 7 8