ribbon graph 0 sigma_0 = (0,13,10)(1,5,15)(2,16,11)(3,7,17)(4,14,9)(6,12,8) alpha_0 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_0 = (0,14,1,13,9,10,15,8,7,2,16,3,6,5,4)(11)(12,17) Aut(G_0) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 1 sigma_1 = (0,13,10)(1,5,15)(2,17,11)(3,16,12)(4,14,9)(6,7,8) alpha_1 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_1 = (0,14,1,13,9,10,15,8,2,17,7,3,16,6,5,4)(11)(12) Aut(G_1) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 2 sigma_2 = (0,13,10)(1,9,16)(2,7,17)(3,14,12)(4,5,15)(6,11,8) alpha_2 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_2 = (0,1,13,15,8,7,9,10,16,2,6,5,3,14,4)(11,17)(12) Aut(G_2) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 1] [0 0 1 0 0 0 0 0 1] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 3 sigma_3 = (0,15,10)(1,14,4)(2,13,11)(3,5,16)(6,12,8)(7,9,17) alpha_3 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_3 = (0,7,5,1,15,8,9,10,4,2,13,14,3,6)(11)(12,16,17) Aut(G_3) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 1 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 4 sigma_4 = (0,15,10)(1,14,4)(2,13,11)(3,17,12)(5,7,8)(6,16,9) alpha_4 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_4 = (0,16,5,1,15,9,10,4,2,13,14,8,3,17,7,6)(11)(12) Aut(G_4) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 5 sigma_5 = (0,12,8)(1,14,4)(2,13,11)(3,5,15)(6,9,16)(7,10,17) alpha_5 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_5 = (0,6,5,1,7,9,8,10,4,2,13,14,3)(11)(12,15,16,17) Aut(G_5) = 1 edge-face adjacency matrix [2 2 1 1 2 2 1 1 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 6 sigma_6 = (0,8,3)(1,9,13)(2,5,15)(4,10,14)(6,16,11)(7,17,12) alpha_6 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_6 = (0,1,4,9,3,17)(2,16,12,8,7,6,5,10,13,14)(11,15) Aut(G_6) = C2 edge-face adjacency matrix [2 1 0 1 1 0 0 0 1] [0 1 1 1 1 2 1 2 1] [0 0 1 0 0 0 1 0 0] -------------------------------------------------------------------------------- ribbon graph 7 sigma_7 = (0,17,7)(1,9,13)(2,4,14)(3,16,6)(5,10,15)(8,12,11) alpha_7 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_7 = (0,1,5,4,9,7,3,8)(2,12,6,10,13)(11,14,15,16,17) Aut(G_7) = C2 edge-face adjacency matrix [2 1 0 1 1 1 0 1 1] [0 1 1 1 1 0 1 0 0] [0 0 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 8 sigma_8 = (0,17,7)(1,13,2)(3,16,6)(4,9,14)(5,10,15)(8,12,11) alpha_8 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_8 = (0,4,1,5,9,7,3,8)(2,12,6,10)(11,13,14,15,16,17) Aut(G_8) = C2 edge-face adjacency matrix [2 1 0 1 1 1 0 1 1] [0 1 1 1 0 0 1 0 0] [0 0 1 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 9 sigma_9 = (0,8,3)(1,13,2)(4,9,14)(5,10,15)(6,16,11)(7,17,12) alpha_9 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_9 = (0,4,1,5,9,3,17)(2,16,12,8,7,6,10)(11,13,14,15) Aut(G_9) = C2 edge-face adjacency matrix [2 1 0 1 1 1 0 0 1] [0 1 1 1 0 0 1 2 1] [0 0 1 0 1 1 1 0 0] -------------------------------------------------------------------------------- ribbon graph 10 sigma_10 = (0,12,16)(1,5,15)(2,13,11)(3,8,6)(4,17,7)(9,10,14) alpha_10 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_10 = (0,14,1,9,16,17,3)(2,13,7,12,6,5,10,15,8,4)(11) Aut(G_10) = 1 edge-face adjacency matrix [2 1 0 1 0 1 0 1 1] [0 1 1 1 2 1 2 1 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 11 sigma_11 = (0,12,14)(1,9,8)(2,13,11)(3,5,15)(4,17,7)(6,16,10) alpha_11 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_11 = (0,1,16,17,9,14,3)(2,13,7,6,5,12,15,10,8,4)(11) Aut(G_11) = 1 edge-face adjacency matrix [2 1 0 1 0 1 0 1 1] [0 1 1 1 2 1 2 1 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 12 sigma_12 = (0,12,14)(1,9,8)(2,13,11)(3,5,15)(4,16,6)(7,17,10) alpha_12 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_12 = (0,1,17,9,14,3)(2,13,6,5,12,15,16,10,8,7,4)(11) Aut(G_12) = 1 edge-face adjacency matrix [2 1 0 1 0 1 0 0 1] [0 1 1 1 2 1 2 2 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 13 sigma_13 = (0,13,10)(1,15,3)(2,6,16)(4,14,9)(5,17,7)(8,12,11) alpha_13 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_13 = (0,14,7,6,1,13,9,10,3,8,5,4)(2,12,15)(11,16,17) Aut(G_13) = C2 edge-face adjacency matrix [2 2 0 1 2 2 1 1 1] [0 0 1 1 0 0 1 0 0] [0 0 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 14 sigma_14 = (0,13,10)(1,16,6)(2,3,15)(4,14,9)(5,17,7)(8,12,11) alpha_14 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_14 = (0,14,7,1,13,9,10,6,3,8,5,4)(2,12)(11,15,16,17) Aut(G_14) = 1 edge-face adjacency matrix [2 2 0 1 2 2 1 1 1] [0 0 1 1 0 0 0 0 0] [0 0 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 15 sigma_15 = (0,13,10)(1,5,15)(2,3,16)(4,14,9)(6,17,7)(8,12,11) alpha_15 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_15 = (0,14,1,13,9,10,15,7,3,8,6,5,4)(2,12)(11,16,17) Aut(G_15) = 1 edge-face adjacency matrix [2 2 0 1 2 2 2 1 1] [0 0 1 1 0 0 0 0 0] [0 0 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 16 sigma_16 = (0,13,10)(1,14,3)(2,5,15)(4,17,7)(6,9,16)(8,12,11) alpha_16 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_16 = (0,6,5,1,13,7,9,10,3,8,4)(2,12,14)(11,15,16,17) Aut(G_16) = 1 edge-face adjacency matrix [2 2 0 1 2 1 1 1 1] [0 0 1 1 0 1 0 0 0] [0 0 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 17 sigma_17 = (0,13,10)(1,15,5)(2,3,14)(4,17,7)(6,9,16)(8,12,11) alpha_17 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_17 = (0,6,1,13,7,9,10,5,3,8,4)(2,12)(11,14,15,16,17) Aut(G_17) = 1 edge-face adjacency matrix [2 2 0 1 2 1 1 1 1] [0 0 1 1 0 0 0 0 0] [0 0 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 18 sigma_18 = (0,17,7)(1,13,3)(2,5,15)(4,9,14)(6,10,16)(8,12,11) alpha_18 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_18 = (0,4,1,6,5,9,7,10,3,8)(2,12,13,14)(11,15,16,17) Aut(G_18) = C2 edge-face adjacency matrix [2 2 0 1 1 1 1 1 1] [0 0 1 1 1 1 0 0 0] [0 0 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 19 sigma_19 = (0,17,7)(1,13,3)(2,4,14)(5,9,15)(6,10,16)(8,12,11) alpha_19 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_19 = (0,5,4,1,6,9,7,10,3,8)(2,12,13)(11,14,15,16,17) Aut(G_19) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 1] [0 0 1 1 1 0 0 0 0] [0 0 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 20 sigma_20 = (0,17,7)(1,14,4)(2,3,13)(5,9,15)(6,10,16)(8,12,11) alpha_20 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_20 = (0,5,1,6,9,7,10,4,3,8)(2,12)(11,13,14,15,16,17) Aut(G_20) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 1] [0 0 1 1 0 0 0 0 0] [0 0 1 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 21 sigma_21 = (0,14,10)(1,6,16)(2,13,11)(3,7,17)(4,8,12)(5,15,9) alpha_21 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_21 = (0,15,1,14,9,10,16,3,8,7,6,5)(2,13,12,17,4)(11) Aut(G_21) = 1 edge-face adjacency matrix [2 2 0 1 0 2 2 2 1] [0 0 1 1 2 0 0 0 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 22 sigma_22 = (0,14,10)(1,16,3)(2,13,11)(4,8,12)(5,15,9)(6,17,7) alpha_22 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_22 = (0,15,7,1,14,9,10,3,8,6,5)(2,13,12,16,17,4)(11) Aut(G_22) = 1 edge-face adjacency matrix [2 2 0 1 0 2 2 1 1] [0 0 1 1 2 0 0 1 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 23 sigma_23 = (0,14,10)(1,15,3)(2,13,11)(4,8,12)(5,17,7)(6,9,16) alpha_23 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_23 = (0,6,1,14,7,9,10,3,8,5)(2,13,12,15,16,17,4)(11) Aut(G_23) = 1 edge-face adjacency matrix [2 2 0 1 0 2 1 1 1] [0 0 1 1 2 0 1 1 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 24 sigma_24 = (0,17,7)(1,14,3)(2,13,11)(4,8,12)(5,9,15)(6,10,16) alpha_24 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_24 = (0,5,1,6,9,7,10,3,8)(2,13,12,14,15,16,17,4)(11) Aut(G_24) = 1 edge-face adjacency matrix [2 2 0 1 0 1 1 1 1] [0 0 1 1 2 1 1 1 1] [0 0 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 25 sigma_25 = (0,16,6)(1,12,8)(2,13,11)(3,9,14)(4,17,7)(5,10,15) alpha_25 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_25 = (0,3,1,5,9,6,10,8,4,2,13,7)(11)(12,14,15,16,17) Aut(G_25) = 1 edge-face adjacency matrix [2 2 1 1 2 1 1 1 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 26 sigma_26 = (0,11,8)(1,4,14)(2,7,17)(3,13,12)(5,9,15)(6,10,16) alpha_26 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_26 = (0,5,4,3,13,1,6,9,8,7,10,14,15,16,2)(11,17)(12) Aut(G_26) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 1] [0 0 1 0 0 0 0 0 1] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 27 sigma_27 = (0,5,15)(1,13,2)(3,9,17)(4,14,11)(6,16,10)(7,12,8) alpha_27 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_27 = (0,3,7,6,5,4,1,16,8,9,15,10,2,14)(11,13)(12,17) Aut(G_27) = C2 edge-face adjacency matrix [2 2 1 1 1 2 2 2 1] [0 0 1 0 1 0 0 0 0] [0 0 0 1 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 28 sigma_28 = (0,17,7)(1,13,2)(3,6,16)(4,14,11)(5,12,8)(9,10,15) alpha_28 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_28 = (0,15,3,5,4,1,9,7,6,10,2,14,8)(11,13)(12,16,17) Aut(G_28) = 1 edge-face adjacency matrix [2 2 1 1 1 2 2 1 1] [0 0 1 0 1 0 0 0 0] [0 0 0 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 29 sigma_29 = (0,17,7)(1,13,2)(3,9,15)(4,14,11)(5,12,8)(6,10,16) alpha_29 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_29 = (0,3,5,4,1,6,9,7,10,2,14,8)(11,13)(12,15,16,17) Aut(G_29) = C2 edge-face adjacency matrix [2 2 1 1 1 2 1 1 1] [0 0 1 0 1 0 0 0 0] [0 0 0 1 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 30 sigma_30 = (0,6,16)(1,9,13)(2,14,11)(3,17,12)(4,15,5)(7,8,10) alpha_30 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_30 = (0,1,8,3,17,7,6,4,9,16,10,13,5,2,14,15)(11)(12) Aut(G_30) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 31 sigma_31 = (0,16,10)(1,9,13)(2,14,11)(3,7,17)(4,15,5)(6,12,8) alpha_31 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_31 = (0,1,16,3,6,4,9,10,13,5,2,14,15,8,7)(11)(12,17) Aut(G_31) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 32 sigma_32 = (0,16,10)(1,9,13)(2,14,11)(3,17,12)(4,15,5)(6,8,7) alpha_32 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_32 = (0,1,16,8,3,17,6,4,9,10,13,5,2,14,15,7)(11)(12) Aut(G_32) = C2 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 33 sigma_33 = (0,5,15)(1,9,13)(2,14,11)(3,17,12)(4,16,6)(7,8,10) alpha_33 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_33 = (0,1,8,3,17,7,4,9,15,16,10,13,6,5,2,14)(11)(12) Aut(G_33) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 34 sigma_34 = (0,5,15)(1,9,13)(2,14,11)(3,10,16)(4,12,8)(6,17,7) alpha_34 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_34 = (0,1,3,4,9,15,7,10,13,8,6,5,2,14)(11)(12,16,17) Aut(G_34) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 1 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 35 sigma_35 = (0,16,6)(1,9,13)(2,14,11)(3,10,15)(4,12,8)(5,17,7) alpha_35 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_35 = (0,1,3,4,9,6,10,13,8,5,2,14,7)(11)(12,15,16,17) Aut(G_35) = 1 edge-face adjacency matrix [2 2 1 1 2 2 1 1 1] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 36 sigma_36 = (0,14,10)(1,9,13)(2,4,15)(3,5,17)(6,16,11)(7,12,8) alpha_36 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_36 = (0,1,14,3,7,6,4,9,10,13,2,16,8,5)(11,15)(12,17) Aut(G_36) = C2 edge-face adjacency matrix [2 2 1 1 2 2 1 2 1] [0 0 1 0 0 0 1 0 0] [0 0 0 1 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 37 sigma_37 = (0,14,10)(1,9,13)(2,4,16)(3,15,12)(5,11,8)(6,17,7) alpha_37 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_37 = (0,1,14,8,6,3,15,7,4,9,10,13,2,5)(11,16,17)(12) Aut(G_37) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 1 1] [0 0 1 0 0 0 0 1 1] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 38 sigma_38 = (0,11,8)(1,9,13)(2,7,17)(3,14,12)(4,5,15)(6,10,16) alpha_38 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_38 = (0,1,6,5,3,14,4,9,8,7,10,13,15,16,2)(11,17)(12) Aut(G_38) = 1 edge-face adjacency matrix [2 2 1 1 2 2 2 2 1] [0 0 1 0 0 0 0 0 1] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 39 sigma_39 = (0,16,10)(1,9,13)(2,17,11)(3,14,12)(4,5,15)(6,7,8) alpha_39 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_39 = (0,1,16,6,5,3,14,4,9,10,13,15,8,2,17,7)(11)(12) Aut(G_39) = C2 edge-face adjacency matrix [2 2 1 1 2 2 2 2 2] [0 0 1 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 40 sigma_40 = (0,17,7)(1,13,2)(3,10,16)(4,9,14)(5,15,11)(6,12,8) alpha_40 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_40 = (0,4,1,3,6,5,9,7,10,2,15,8)(11,13,14)(12,16,17) Aut(G_40) = C6 edge-face adjacency matrix [2 2 1 1 1 1 2 1 1] [0 0 1 0 1 1 0 0 0] [0 0 0 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 41 sigma_41 = (0,13,2)(1,9,14)(3,10,16)(4,8,7)(5,17,6)(11,15,12) alpha_41 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_41 = (0,1,3,15,17,4)(2,12,16,8,5,9)(6,11,13,7,10,14) Aut(G_41) = C3 x S3 edge-face adjacency matrix [1 1 0 1 1 0 1 0 1] [1 0 1 1 0 1 0 1 1] [0 1 1 0 1 1 1 1 0] -------------------------------------------------------------------------------- ribbon graph 42 sigma_42 = (0,13,3)(1,8,11)(2,15,10)(4,12,14)(5,17,7)(6,16,9) alpha_42 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_42 = (0,16,17,1,15,9,3,4)(2,8,5,12,13,14,7,6)(10,11) Aut(G_42) = C2 edge-face adjacency matrix [2 1 0 1 1 0 1 1 1] [0 0 1 1 1 2 1 1 1] [0 1 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 43 sigma_43 = (0,13,3)(1,9,16)(2,15,10)(4,12,14)(5,8,6)(7,17,11) alpha_43 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_43 = (0,1,15,8,7,9,3,4)(2,17,5,12,13,14,6)(10,16,11) Aut(G_43) = 1 edge-face adjacency matrix [2 1 0 1 1 0 1 1 1] [0 0 1 1 1 2 1 0 1] [0 1 1 0 0 0 0 1 0] -------------------------------------------------------------------------------- ribbon graph 44 sigma_44 = (0,13,3)(1,16,11)(2,15,10)(4,12,14)(5,17,6)(7,9,8) alpha_44 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_44 = (0,7,1,15,17,9,3,4)(2,16,8,5,12,13,14,6)(10,11) Aut(G_44) = C2 edge-face adjacency matrix [2 1 0 1 1 0 1 1 1] [0 0 1 1 1 2 1 1 1] [0 1 1 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 45 sigma_45 = (0,13,3)(1,9,8)(2,5,15)(4,12,14)(6,11,16)(7,17,10) alpha_45 = (0,9)(1,10)(2,11)(3,12)(4,13)(5,14)(6,15)(7,16)(8,17) phi_45 = (0,1,17,9,3,4)(2,6,5,12,13,14)(7,11,15,16,10,8) Aut(G_45) = S3 edge-face adjacency matrix [2 1 0 1 1 0 0 0 1] [0 0 1 1 1 2 1 0 0] [0 1 1 0 0 0 1 2 1] --------------------------------------------------------------------------------