ribbon graph 0 sigma_0 = (0,9,7)(1,11,2)(3,10,6)(4,8,5) alpha_0 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_0 = (0,10,5,1,9,6,7,2,4,3)(8,11) Aut(G_0) = C2 edge-face adjacency matrix [2 2 1 2 2 1] [0 0 1 0 0 1] -------------------------------------------------------------------------------- ribbon graph 1 sigma_1 = (0,9,7)(1,4,5)(2,11,8)(3,10,6) alpha_1 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_1 = (0,10,1,9,6,7,5,2,11,4,3)(8) Aut(G_1) = 1 edge-face adjacency matrix [2 2 1 2 2 2] [0 0 1 0 0 0] -------------------------------------------------------------------------------- ribbon graph 2 sigma_2 = (0,9,7)(1,10,2)(3,8,5)(4,6,11) alpha_2 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_2 = (0,4,1,9,5,6,7,2,3)(8,10,11) Aut(G_2) = C3 edge-face adjacency matrix [2 2 1 2 1 1] [0 0 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 3 sigma_3 = (0,8,5)(1,9,2)(3,6,10)(4,7,11) alpha_3 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_3 = (0,3,1,4,6,5,7,2)(8,9,10,11) Aut(G_3) = C4 edge-face adjacency matrix [2 2 1 1 1 1] [0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 4 sigma_4 = (0,9,2)(1,6,5)(3,8,10)(4,11,7) alpha_4 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_4 = (0,1,11,6,2,3)(4,8,9,10,7,5) Aut(G_4) = C2 x C2 edge-face adjacency matrix [2 1 1 1 0 1] [0 1 1 1 2 1] --------------------------------------------------------------------------------