ribbon graph 0 sigma_0 = (0,3,11)(1,10,7)(2,9,8)(4,6,5) alpha_0 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_0 = (0,4,1,10,5,3,2,9)(6,11)(7)(8) Aut(G_0) = C2 edge-face adjacency matrix [1 1 1 2 2 1] [1 0 0 0 0 1] [0 1 0 0 0 0] [0 0 1 0 0 0] -------------------------------------------------------------------------------- ribbon graph 1 sigma_1 = (0,11,6)(1,10,7)(2,9,8)(3,4,5) alpha_1 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_1 = (0,11,4,1,10,3,2,9,5)(6)(7)(8) Aut(G_1) = C3 edge-face adjacency matrix [1 1 1 2 2 2] [1 0 0 0 0 0] [0 1 0 0 0 0] [0 0 1 0 0 0] -------------------------------------------------------------------------------- ribbon graph 2 sigma_2 = (0,8,9)(1,2,10)(3,7,11)(4,6,5) alpha_2 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_2 = (0,4,2)(1,3,8)(5,7,10)(6,9,11) Aut(G_2) = A4 edge-face adjacency matrix [1 0 1 0 1 0] [0 1 1 1 0 0] [0 1 0 0 1 1] [1 0 0 1 0 1] -------------------------------------------------------------------------------- ribbon graph 3 sigma_3 = (0,8,9)(1,2,10)(3,5,6)(4,11,7) alpha_3 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_3 = (0,5,4,2)(1,11,3,8)(6,9)(7,10) Aut(G_3) = C2 x C2 edge-face adjacency matrix [1 0 1 0 1 1] [0 1 1 1 0 1] [1 0 0 1 0 0] [0 1 0 0 1 0] -------------------------------------------------------------------------------- ribbon graph 4 sigma_4 = (0,9,6)(1,2,10)(3,8,5)(4,11,7) alpha_4 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_4 = (0,9,5,4,2,3)(1,11,8)(6)(7,10) Aut(G_4) = 1 edge-face adjacency matrix [1 0 1 2 1 1] [0 1 1 0 0 1] [1 0 0 0 0 0] [0 1 0 0 1 0] -------------------------------------------------------------------------------- ribbon graph 5 sigma_5 = (0,9,6)(1,10,7)(2,3,5)(4,11,8) alpha_5 = (0,6)(1,7)(2,8)(3,9)(4,10)(5,11) phi_5 = (0,9,2,11,3)(1,10,8,5,4)(6)(7) Aut(G_5) = C2 edge-face adjacency matrix [1 0 1 2 0 1] [0 1 1 0 2 1] [1 0 0 0 0 0] [0 1 0 0 0 0] --------------------------------------------------------------------------------