ribbon graph 0 sigma_0 = (0,17,13)(1,6,19)(2,20,15)(3,22,4)(5,18,12)(7,16,11)(8,21,14)(9,23,10) alpha_0 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_0 = (0,18,1,17,12,13,19,11,9,8,2,21,10,3,20,14,15,4,7,6,5)(16,22,23) Aut(G_0) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 1 sigma_1 = (0,17,13)(1,6,19)(2,20,15)(3,21,4)(5,18,12)(7,16,11)(8,23,10)(9,14,22) alpha_1 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_1 = (0,18,1,17,12,13,19,11,8,2,9,3,20,10,14,15,4,7,6,5)(16,21,22,23) Aut(G_1) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 2 sigma_2 = (0,17,13)(1,6,19)(2,23,10)(3,20,4)(5,18,12)(7,16,11)(8,14,21)(9,15,22) alpha_2 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_2 = (0,18,1,17,12,13,19,11,2,8,3,9,14,10,15,4,7,6,5)(16,20,21,22,23) Aut(G_2) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 3 sigma_3 = (0,19,13)(1,18,5)(2,17,15)(3,14,22)(4,10,23)(6,8,21)(7,20,12)(9,16,11) alpha_3 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_3 = (0,20,6,1,19,12,13,5,2,3,17,18,21,11,10,14,15,22,4,9,8,7)(16,23) Aut(G_3) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 4 sigma_4 = (0,19,13)(1,18,5)(2,17,15)(3,14,22)(4,23,16)(6,8,21)(7,20,12)(9,11,10) alpha_4 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_4 = (0,20,6,1,19,12,13,5,2,3,17,18,21,10,14,15,22,11,4,23,9,8,7)(16) Aut(G_4) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 5 sigma_5 = (0,20,13)(1,9,22)(2,17,15)(3,6,19)(4,7,23)(5,18,14)(8,21,12)(10,16,11) alpha_5 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_5 = (0,21,1,20,12,13,22,11,7,6,5,2,18,3,17,14,15,19,4,10,9,8)(16,23) Aut(G_5) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 6 sigma_6 = (0,20,13)(1,9,22)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(7,10,11)(8,21,12) alpha_6 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_6 = (0,21,1,20,12,13,22,7,6,5,2,18,3,17,14,15,19,11,4,23,10,9,8)(16) Aut(G_6) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 7 sigma_7 = (0,21,13)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(8,10,11)(9,22,12) alpha_7 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_7 = (0,22,8,1,21,12,13,7,6,5,2,18,3,17,14,15,19,20,11,4,23,10,9)(16) Aut(G_7) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 8 sigma_8 = (0,7,20)(1,11,4)(2,23,10)(3,17,16)(5,14,18)(6,15,19)(8,21,13)(9,22,12) alpha_8 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_8 = (0,22,23,1,21,12,20,13,4,17,18,19)(2,5,3,6,14,10,9,8,7,15,16,11) Aut(G_8) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 9 sigma_9 = (0,7,20)(1,22,4)(2,23,9)(3,17,16)(5,14,18)(6,15,19)(8,21,13)(10,12,11) alpha_9 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_9 = (0,10,1,21,23,12,20,13,4,17,18,19)(2,5,3,6,14,9,8,7,15,16,22,11) Aut(G_9) = 1 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 10 sigma_10 = (0,7,20)(1,21,4)(2,23,8)(3,17,16)(5,14,18)(6,15,19)(9,12,22)(10,13,11) alpha_10 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_10 = (0,9,1,10,12,20,23,13,4,17,18,19)(2,5,3,6,14,8,7,15,16,21,22,11) Aut(G_10) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 11 sigma_11 = (0,11,10)(1,20,4)(2,23,7)(3,17,16)(5,14,18)(6,15,19)(8,12,21)(9,13,22) alpha_11 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_11 = (0,8,1,9,12,10,13,4,17,18,19,23)(2,5,3,6,14,7,15,16,20,21,22,11) Aut(G_11) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 12 sigma_12 = (0,6,19)(1,23,4)(2,11,10)(3,17,16)(5,14,18)(7,20,13)(8,15,21)(9,22,12) alpha_12 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_12 = (0,22,11,1,20,21,12,19,13,4,17,18)(2,5,3,8,7,6,14,10,9,15,16,23) Aut(G_12) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 13 sigma_13 = (0,6,19)(1,22,4)(2,23,9)(3,17,16)(5,14,18)(7,20,13)(8,15,21)(10,12,11) alpha_13 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_13 = (0,10,1,20,21,23,12,19,13,4,17,18)(2,5,3,8,7,6,14,9,15,16,22,11) Aut(G_13) = C2 x C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 14 sigma_14 = (0,6,19)(1,22,4)(2,23,9)(3,17,16)(5,14,18)(7,15,20)(8,21,13)(10,12,11) alpha_14 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_14 = (0,10,1,21,23,12,19,20,13,4,17,18)(2,5,3,7,6,14,9,8,15,16,22,11) Aut(G_14) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 15 sigma_15 = (0,6,19)(1,20,4)(2,8,21)(3,17,16)(5,14,18)(7,15,23)(9,12,22)(10,13,11) alpha_15 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_15 = (0,9,8,1,10,12,19,23,13,4,17,18)(2,5,3,7,6,14,21,22,11,15,16,20) Aut(G_15) = C2 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 16 sigma_16 = (0,5,18)(1,11,4)(2,23,10)(3,17,16)(6,14,19)(7,20,13)(8,15,21)(9,22,12) alpha_16 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_16 = (0,22,23,1,20,21,12,18,19,13,4,17)(2,6,5,3,8,7,14,10,9,15,16,11) Aut(G_16) = D8 edge-face adjacency matrix [2 2 0 0 1 1 1 1 1 1 1 1] [0 0 2 2 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 17 sigma_17 = (0,17,13)(1,21,8)(2,4,19)(3,11,16)(5,18,12)(6,23,10)(7,20,15)(9,22,14) alpha_17 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_17 = (0,18,10,9,1,17,12,13,8,7,4,11,6,5)(2,22,23,3,20,21,14,19,15,16) Aut(G_17) = 1 edge-face adjacency matrix [2 2 0 0 1 2 2 1 1 1 1 1] [0 0 2 2 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 18 sigma_18 = (0,17,13)(1,22,9)(2,4,19)(3,11,16)(5,18,12)(6,23,10)(7,20,15)(8,21,14) alpha_18 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_18 = (0,18,10,1,17,12,13,9,8,7,4,11,6,5)(2,21,22,23,3,20,14,19,15,16) Aut(G_18) = 1 edge-face adjacency matrix [2 2 0 0 1 2 2 1 1 1 1 1] [0 0 2 2 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 19 sigma_19 = (0,17,13)(1,20,7)(2,4,19)(3,11,16)(5,18,12)(6,23,10)(8,21,15)(9,22,14) alpha_19 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_19 = (0,18,10,9,8,1,17,12,13,7,4,11,6,5)(2,22,23,3,21,14,19,20,15,16) Aut(G_19) = C2 edge-face adjacency matrix [2 2 0 0 1 2 2 1 1 1 1 1] [0 0 2 2 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 20 sigma_20 = (0,17,13)(1,6,19)(2,4,20)(3,11,16)(5,18,12)(7,23,10)(8,21,15)(9,22,14) alpha_20 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_20 = (0,18,1,17,12,13,19,10,9,8,4,11,7,6,5)(2,22,23,3,21,14,20,15,16) Aut(G_20) = 1 edge-face adjacency matrix [2 2 0 0 1 2 2 2 1 1 1 1] [0 0 2 2 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 21 sigma_21 = (0,17,13)(1,18,4)(2,7,20)(3,11,16)(5,23,10)(6,12,19)(8,21,15)(9,22,14) alpha_21 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_21 = (0,6,1,17,10,9,8,7,12,13,4,11,5)(2,22,23,3,21,14,20,15,16,18,19) Aut(G_21) = 1 edge-face adjacency matrix [2 2 0 0 1 2 1 1 1 1 1 1] [0 0 2 2 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 22 sigma_22 = (0,17,13)(1,21,8)(2,18,15)(3,11,16)(4,20,6)(5,19,12)(7,23,10)(9,22,14) alpha_22 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_22 = (0,19,10,9,1,17,12,13,8,4,11,7,5)(2,22,23,3,18,20,21,14,15,16,6) Aut(G_22) = 1 edge-face adjacency matrix [2 2 0 0 1 2 0 2 1 1 1 1] [0 0 2 2 1 0 2 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 23 sigma_23 = (0,17,13)(1,22,9)(2,18,15)(3,11,16)(4,20,6)(5,19,12)(7,23,10)(8,21,14) alpha_23 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_23 = (0,19,10,1,17,12,13,9,8,4,11,7,5)(2,21,22,23,3,18,20,14,15,16,6) Aut(G_23) = 1 edge-face adjacency matrix [2 2 0 0 1 2 0 2 1 1 1 1] [0 0 2 2 1 0 2 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 24 sigma_24 = (0,17,13)(1,7,21)(2,18,15)(3,11,16)(4,22,8)(5,19,12)(6,20,14)(9,23,10) alpha_24 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_24 = (0,19,1,17,12,13,21,10,4,11,9,7,5)(2,20,22,23,3,18,14,15,16,8,6) Aut(G_24) = 1 edge-face adjacency matrix [2 2 0 0 1 2 0 2 0 2 1 1] [0 0 2 2 1 0 2 0 2 0 1 1] -------------------------------------------------------------------------------- ribbon graph 25 sigma_25 = (0,17,13)(1,7,21)(2,18,15)(3,8,22)(4,9,11)(5,19,12)(6,20,14)(10,23,16) alpha_25 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_25 = (0,19,1,17,12,13,21,4,23,9,7,5)(2,20,3,18,14,15,22,16,11,10,8,6) Aut(G_25) = C2 edge-face adjacency matrix [2 2 0 0 1 2 0 2 0 2 0 1] [0 0 2 2 1 0 2 0 2 0 2 1] -------------------------------------------------------------------------------- ribbon graph 26 sigma_26 = (0,17,13)(1,11,4)(2,18,15)(3,21,16)(5,19,12)(6,20,14)(7,9,22)(8,23,10) alpha_26 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_26 = (0,19,22,23,1,17,12,13,4,21,7,5)(2,20,10,9,3,18,14,15,16,11,8,6) Aut(G_26) = C2 x C2 edge-face adjacency matrix [2 2 0 0 1 2 0 2 0 1 1 1] [0 0 2 2 1 0 2 0 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 27 sigma_27 = (0,17,13)(1,22,4)(2,18,15)(3,21,16)(5,19,12)(6,20,14)(7,11,10)(8,23,9) alpha_27 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_27 = (0,19,10,1,17,12,13,4,21,23,7,5)(2,20,9,3,18,14,15,16,22,11,8,6) Aut(G_27) = C2 edge-face adjacency matrix [2 2 0 0 1 2 0 2 0 1 1 1] [0 0 2 2 1 0 2 0 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 28 sigma_28 = (0,17,13)(1,7,20)(2,18,15)(3,11,16)(4,21,6)(5,19,12)(8,23,10)(9,22,14) alpha_28 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_28 = (0,19,1,17,12,13,20,10,9,4,11,8,7,5)(2,22,23,3,18,21,14,15,16,6) Aut(G_28) = 1 edge-face adjacency matrix [2 2 0 0 1 2 0 2 2 1 1 1] [0 0 2 2 1 0 2 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 29 sigma_29 = (0,17,13)(1,11,4)(2,18,15)(3,19,16)(5,7,20)(6,23,10)(8,14,21)(9,22,12) alpha_29 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_29 = (0,22,23,1,17,20,21,12,13,4,19,5)(2,8,7,3,18,10,9,14,15,16,11,6) Aut(G_29) = S3 edge-face adjacency matrix [2 2 0 0 1 2 0 1 1 1 1 1] [0 0 2 2 1 0 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 30 sigma_30 = (0,17,13)(1,11,4)(2,18,15)(3,19,16)(5,8,21)(6,23,10)(7,14,20)(9,22,12) alpha_30 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_30 = (0,22,23,1,17,21,12,13,4,19,20,5)(2,7,3,18,10,9,8,14,15,16,11,6) Aut(G_30) = C2 edge-face adjacency matrix [2 2 0 0 1 2 0 1 1 1 1 1] [0 0 2 2 1 0 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 31 sigma_31 = (0,17,13)(1,22,4)(2,18,15)(3,19,16)(5,8,21)(6,23,9)(7,14,20)(10,12,11) alpha_31 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_31 = (0,10,1,17,21,23,12,13,4,19,20,5)(2,7,3,18,9,8,14,15,16,22,11,6) Aut(G_31) = C2 edge-face adjacency matrix [2 2 0 0 1 2 0 1 1 1 1 1] [0 0 2 2 1 0 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 32 sigma_32 = (0,17,13)(1,21,4)(2,18,15)(3,19,16)(5,11,10)(6,23,8)(7,14,20)(9,12,22) alpha_32 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_32 = (0,9,1,17,10,12,13,4,19,20,23,5)(2,7,3,18,8,14,15,16,21,22,11,6) Aut(G_32) = C2 edge-face adjacency matrix [2 2 0 0 1 2 0 1 1 1 1 1] [0 0 2 2 1 0 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 33 sigma_33 = (0,17,13)(1,20,7)(2,4,18)(3,11,16)(5,23,10)(6,19,15)(8,12,21)(9,22,14) alpha_33 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_33 = (0,8,1,17,10,9,12,13,7,6,4,11,5)(2,22,23,3,19,20,21,14,18,15,16) Aut(G_33) = 1 edge-face adjacency matrix [2 2 0 0 1 2 1 1 1 1 1 1] [0 0 2 2 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 34 sigma_34 = (0,17,13)(1,21,8)(2,4,18)(3,11,16)(5,23,10)(6,19,15)(7,20,14)(9,12,22) alpha_34 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_34 = (0,9,1,17,10,12,13,8,7,6,4,11,5)(2,20,21,22,23,3,19,14,18,15,16) Aut(G_34) = 1 edge-face adjacency matrix [2 2 0 0 1 2 1 1 1 1 1 1] [0 0 2 2 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 35 sigma_35 = (0,17,13)(1,19,6)(2,4,18)(3,11,16)(5,23,10)(7,20,15)(8,12,21)(9,22,14) alpha_35 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_35 = (0,8,7,1,17,10,9,12,13,6,4,11,5)(2,22,23,3,20,21,14,18,19,15,16) Aut(G_35) = 1 edge-face adjacency matrix [2 2 0 0 1 2 1 1 1 1 1 1] [0 0 2 2 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 36 sigma_36 = (0,17,13)(1,19,6)(2,4,18)(3,11,16)(5,23,10)(7,12,20)(8,21,15)(9,22,14) alpha_36 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_36 = (0,7,1,17,10,9,8,12,13,6,4,11,5)(2,22,23,3,21,14,18,19,20,15,16) Aut(G_36) = 1 edge-face adjacency matrix [2 2 0 0 1 2 1 1 1 1 1 1] [0 0 2 2 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 37 sigma_37 = (0,17,13)(1,6,19)(2,20,15)(3,4,22)(5,18,12)(7,16,11)(8,21,14)(9,23,10) alpha_37 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_37 = (0,18,1,17,12,13,19,11,9,8,2,21,10,4,7,6,5)(3,20,14,15,22,23,16) Aut(G_37) = 1 edge-face adjacency matrix [2 2 1 0 1 2 2 2 1 2 1 1] [0 0 1 2 1 0 0 0 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 38 sigma_38 = (0,17,13)(1,6,19)(2,10,23)(3,4,20)(5,18,12)(7,9,22)(8,21,16)(11,14,15) alpha_38 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_38 = (0,18,1,17,12,13,19,22,2,11,10,9,8,4,21,7,6,5)(3,14,23,15,20,16) Aut(G_38) = 1 edge-face adjacency matrix [2 2 1 0 1 2 2 2 1 2 2 1] [0 0 1 2 1 0 0 0 1 0 0 1] -------------------------------------------------------------------------------- ribbon graph 39 sigma_39 = (0,17,13)(1,6,19)(2,7,22)(3,4,20)(5,18,12)(8,21,16)(9,23,10)(11,14,15) alpha_39 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_39 = (0,18,1,17,12,13,19,2,11,9,8,4,21,10,7,6,5)(3,14,22,23,15,20,16) Aut(G_39) = 1 edge-face adjacency matrix [2 2 1 0 1 2 2 2 1 2 1 1] [0 0 1 2 1 0 0 0 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 40 sigma_40 = (0,20,13)(1,18,5)(2,17,15)(3,11,16)(4,7,22)(6,19,14)(8,21,12)(9,23,10) alpha_40 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_40 = (0,21,10,7,6,1,20,12,13,5,2,19,4,11,9,8)(3,17,18,14,15,16,22,23) Aut(G_40) = 1 edge-face adjacency matrix [2 2 1 0 1 1 1 2 2 2 1 1] [0 0 1 2 1 1 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 41 sigma_41 = (0,19,13)(1,22,9)(2,17,15)(3,11,16)(4,6,21)(5,18,14)(7,20,12)(8,23,10) alpha_41 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_41 = (0,20,10,1,19,12,13,9,6,5,2,18,4,11,8,7)(3,17,14,15,16,21,22,23) Aut(G_41) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 1 1 1] [0 0 1 2 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 42 sigma_42 = (0,20,13)(1,19,6)(2,17,15)(3,11,16)(4,7,21)(5,18,14)(8,23,10)(9,12,22) alpha_42 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_42 = (0,9,7,1,20,10,12,13,6,5,2,18,19,4,11,8)(3,17,14,15,16,21,22,23) Aut(G_42) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 1 1 1] [0 0 1 2 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 43 sigma_43 = (0,20,13)(1,19,6)(2,17,15)(3,11,16)(4,7,22)(5,18,14)(8,21,12)(9,23,10) alpha_43 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_43 = (0,21,10,7,1,20,12,13,6,5,2,18,19,4,11,9,8)(3,17,14,15,16,22,23) Aut(G_43) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 2 1 1] [0 0 1 2 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 44 sigma_44 = (0,20,13)(1,19,6)(2,17,15)(3,11,16)(4,10,23)(5,18,14)(7,9,22)(8,21,12) alpha_44 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_44 = (0,21,7,1,20,12,13,6,5,2,18,19,22,4,11,10,9,8)(3,17,14,15,16,23) Aut(G_44) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 2 2 1] [0 0 1 2 1 1 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 45 sigma_45 = (0,16,11)(1,19,6)(2,17,15)(3,9,22)(4,7,20)(5,18,14)(8,12,21)(10,13,23) alpha_45 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_45 = (0,8,7,1,10,9,12,11,13,6,5,2,18,19,4)(3,17,14,15,22,23,16,20,21) Aut(G_45) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 1 1 1 1] [0 0 1 2 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 46 sigma_46 = (0,16,11)(1,19,6)(2,17,15)(3,8,21)(4,7,20)(5,18,14)(9,12,22)(10,13,23) alpha_46 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_46 = (0,9,8,7,1,10,12,11,13,6,5,2,18,19,4)(3,17,14,15,21,22,23,16,20) Aut(G_46) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 1 1 1 1] [0 0 1 2 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 47 sigma_47 = (0,16,11)(1,19,6)(2,17,15)(3,4,20)(5,18,14)(7,21,8)(9,12,22)(10,13,23) alpha_47 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_47 = (0,9,7,1,10,12,11,13,6,5,2,18,19,8,4)(3,17,14,15,20,21,22,23,16) Aut(G_47) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 1 1 1 1] [0 0 1 2 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 48 sigma_48 = (0,16,11)(1,17,2)(3,4,22)(5,18,15)(6,12,19)(7,13,20)(8,21,14)(9,23,10) alpha_48 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_48 = (0,6,5,1,7,12,11,9,8,13,2,21,10,4)(3,18,19,20,14,17,15,22,23,16) Aut(G_48) = 1 edge-face adjacency matrix [2 2 1 0 1 1 1 1 1 2 1 1] [0 0 1 2 1 1 1 1 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 49 sigma_49 = (0,16,11)(1,17,2)(3,4,22)(5,18,15)(6,12,19)(7,20,14)(8,13,21)(9,23,10) alpha_49 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_49 = (0,6,5,1,8,7,12,11,9,13,2,20,21,10,4)(3,18,19,14,17,15,22,23,16) Aut(G_49) = 1 edge-face adjacency matrix [2 2 1 0 1 1 1 1 2 2 1 1] [0 0 1 2 1 1 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 50 sigma_50 = (0,21,13)(1,17,2)(3,11,16)(4,8,22)(5,18,15)(6,12,19)(7,20,14)(9,23,10) alpha_50 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_50 = (0,6,5,1,21,10,8,7,12,13,2,20,4,11,9)(3,18,19,14,17,15,16,22,23) Aut(G_50) = 1 edge-face adjacency matrix [2 2 1 0 1 1 1 1 2 2 1 1] [0 0 1 2 1 1 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 51 sigma_51 = (0,16,11)(1,17,2)(3,4,22)(5,12,18)(6,19,15)(7,13,20)(8,21,14)(9,23,10) alpha_51 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_51 = (0,5,1,7,6,12,11,9,8,13,2,21,10,4)(3,19,20,14,17,18,15,22,23,16) Aut(G_51) = 1 edge-face adjacency matrix [2 2 1 0 1 1 1 1 1 2 1 1] [0 0 1 2 1 1 1 1 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 52 sigma_52 = (0,19,13)(1,22,9)(2,21,15)(3,4,17)(5,18,16)(6,14,11)(7,20,12)(8,23,10) alpha_52 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_52 = (0,20,10,1,19,12,13,9,2,6,5,4,18,11,8,7)(3,21,22,23,14,15,17,16) Aut(G_52) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 1 1 1] [0 0 1 2 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 53 sigma_53 = (0,19,13)(1,21,2)(3,4,17)(5,18,16)(6,14,11)(7,20,12)(8,23,10)(9,22,15) alpha_53 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_53 = (0,20,10,9,1,19,12,13,2,6,5,4,18,11,8,7)(3,22,23,14,21,15,17,16) Aut(G_53) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 1 1 1] [0 0 1 2 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 54 sigma_54 = (0,19,13)(1,20,2)(3,4,17)(5,18,16)(6,23,10)(7,22,9)(8,12,21)(11,14,15) alpha_54 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_54 = (0,8,1,19,9,12,13,2,11,6,5,4,18,10,7)(3,14,20,21,22,23,15,17,16) Aut(G_54) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 1 1 1 1] [0 0 1 2 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 55 sigma_55 = (0,6,19)(1,12,20)(2,22,15)(3,4,17)(5,18,16)(7,14,11)(8,13,21)(9,23,10) alpha_55 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_55 = (0,1,8,12,19,11,9,13,20,21,10,2,7,6,5,4,18)(3,22,23,14,15,17,16) Aut(G_55) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 2 1 1] [0 0 1 2 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 56 sigma_56 = (0,6,19)(1,12,20)(2,8,21)(3,4,17)(5,18,16)(7,23,10)(9,13,22)(11,14,15) alpha_56 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_56 = (0,1,9,8,12,19,10,13,20,2,11,7,6,5,4,18)(3,14,21,22,23,15,17,16) Aut(G_56) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 2 1 1 1] [0 0 1 2 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 57 sigma_57 = (0,6,19)(1,20,2)(3,4,17)(5,18,16)(7,23,10)(8,12,21)(9,13,22)(11,14,15) alpha_57 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_57 = (0,8,1,9,12,19,10,13,2,11,7,6,5,4,18)(3,14,20,21,22,23,15,17,16) Aut(G_57) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 2 1 1 1 1] [0 0 1 2 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 58 sigma_58 = (0,22,9)(1,19,2)(3,4,17)(5,18,16)(6,23,10)(7,12,20)(8,13,21)(11,14,15) alpha_58 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_58 = (0,7,1,8,12,9,13,2,11,6,5,4,18,10)(3,14,19,20,21,22,23,15,17,16) Aut(G_58) = 1 edge-face adjacency matrix [2 2 1 0 1 1 2 1 1 1 1 1] [0 0 1 2 1 1 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 59 sigma_59 = (0,3,17)(1,16,11)(2,18,15)(4,12,19)(5,21,8)(6,23,10)(7,13,20)(9,14,22) alpha_59 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_59 = (0,4,1,7,12,17,8,13,11,6,2,9,5,3,18,10,14,15)(16,19,20,21,22,23) Aut(G_59) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 60 sigma_60 = (0,3,17)(1,21,8)(2,18,15)(4,23,16)(5,7,20)(6,19,14)(9,22,13)(10,11,12) alpha_60 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_60 = (0,11,4,23,10,9,1,22,12,17,20,21,13,8,7,6,2,19,5,3,18,14,15)(16) Aut(G_60) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 61 sigma_61 = (0,3,17)(1,21,8)(2,18,15)(4,12,22)(5,7,20)(6,19,14)(9,16,11)(10,13,23) alpha_61 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_61 = (0,4,9,1,10,12,17,20,21,11,13,8,7,6,2,19,5,3,18,14,15)(16,22,23) Aut(G_61) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 62 sigma_62 = (0,3,17)(1,16,11)(2,18,15)(4,12,21)(5,7,20)(6,19,14)(8,23,10)(9,13,22) alpha_62 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_62 = (0,4,1,9,12,17,20,10,13,11,8,7,6,2,19,5,3,18,14,15)(16,21,22,23) Aut(G_62) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 63 sigma_63 = (0,3,17)(1,16,11)(2,18,15)(4,12,20)(5,22,9)(6,19,14)(7,23,10)(8,13,21) alpha_63 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_63 = (0,4,1,8,12,17,9,13,11,7,6,2,19,10,5,3,18,14,15)(16,20,21,22,23) Aut(G_63) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 64 sigma_64 = (0,3,17)(1,18,2)(4,12,19)(5,21,8)(6,16,11)(7,13,20)(9,14,22)(10,15,23) alpha_64 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_64 = (0,4,6,1,7,12,17,8,13,2,9,5,3,10,14,18,11,15)(16,19,20,21,22,23) Aut(G_64) = C6 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 65 sigma_65 = (0,3,17)(1,16,11)(2,23,10)(4,12,18)(5,20,7)(6,13,19)(8,14,21)(9,15,22) alpha_65 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_65 = (0,4,1,6,12,17,7,13,11,2,8,5,3,9,14,10,15)(16,18,19,20,21,22,23) Aut(G_65) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 66 sigma_66 = (0,22,9)(1,18,5)(2,17,15)(3,14,19)(4,12,20)(6,16,11)(7,23,10)(8,13,21) alpha_66 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_66 = (0,4,6,1,8,12,9,13,5,2,3,17,18,11,7,14,15,19,10)(16,20,21,22,23) Aut(G_66) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 67 sigma_67 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(9,22,13)(10,11,12) alpha_67 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_67 = (0,11,4,23,10,9,8,1,22,12,21,13,7,6,5,2,18,3,17,14,15,19,20)(16) Aut(G_67) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 68 sigma_68 = (0,23,10)(1,20,7)(2,17,15)(3,6,19)(4,12,21)(5,18,14)(8,16,11)(9,13,22) alpha_68 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_68 = (0,4,8,1,9,12,10,13,7,6,5,2,18,3,17,14,15,19,20,11)(16,21,22,23) Aut(G_68) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 69 sigma_69 = (0,21,8)(1,16,11)(2,17,15)(3,22,9)(4,12,19)(5,18,14)(6,23,10)(7,13,20) alpha_69 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_69 = (0,4,1,7,12,8,13,11,6,5,2,18,10,3,17,14,15,9)(16,19,20,21,22,23) Aut(G_69) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 70 sigma_70 = (0,20,7)(1,16,11)(2,17,15)(3,21,8)(4,12,18)(5,23,10)(6,13,19)(9,14,22) alpha_70 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_70 = (0,4,1,6,12,7,13,11,5,2,9,3,17,10,14,15,8)(16,18,19,20,21,22,23) Aut(G_70) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 71 sigma_71 = (0,19,6)(1,16,11)(2,23,10)(3,20,7)(4,12,17)(5,13,18)(8,14,21)(9,15,22) alpha_71 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_71 = (0,4,1,5,12,6,13,11,2,8,3,9,14,10,15,7)(16,17,18,19,20,21,22,23) Aut(G_71) = C2 edge-face adjacency matrix [2 2 2 2 1 1 1 1 1 1 1 1] [0 0 0 0 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 72 sigma_72 = (0,3,22)(1,18,2)(4,7,20)(5,6,19)(8,16,21)(9,23,10)(11,12,13)(14,15,17) alpha_72 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_72 = (0,11,9,16,20,21,10,3,14,18,5,15)(1,12,22,23,13,2,17,19,4,8,7,6) Aut(G_72) = C2 edge-face adjacency matrix [1 0 1 2 1 1 1 0 1 2 1 1] [1 2 1 0 1 1 1 2 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 73 sigma_73 = (0,21,8)(1,18,2)(3,4,11)(5,6,19)(7,16,22)(9,23,10)(12,13,20)(14,15,17) alpha_73 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_73 = (0,20,21,10,16,3,14,18,5,15,11,9)(1,12,8,13,2,17,19,22,23,4,7,6) Aut(G_73) = C2 edge-face adjacency matrix [1 0 1 2 1 1 1 0 1 2 1 1] [1 2 1 0 1 1 1 2 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 74 sigma_74 = (0,3,17)(1,22,9)(2,18,15)(4,23,16)(5,7,20)(6,19,14)(8,21,13)(10,12,11) alpha_74 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_74 = (0,10,1,21,22,11,4,23,12,17,20,13,9,8,7,6,2,19,5,3,18,14,15)(16) Aut(G_74) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 75 sigma_75 = (0,3,17)(1,22,9)(2,18,15)(4,10,23)(5,7,20)(6,19,14)(8,21,13)(11,12,16) alpha_75 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_75 = (0,11,10,1,21,22,4,12,17,20,13,9,8,7,6,2,19,5,3,18,14,15)(16,23) Aut(G_75) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 76 sigma_76 = (0,3,17)(1,12,22)(2,18,15)(4,23,16)(5,7,20)(6,19,14)(8,21,13)(9,10,11) alpha_76 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_76 = (0,1,21,11,4,23,10,12,17,20,13,22,9,8,7,6,2,19,5,3,18,14,15)(16) Aut(G_76) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 77 sigma_77 = (0,3,17)(1,23,10)(2,19,15)(4,6,20)(5,18,13)(7,22,9)(8,14,21)(11,12,16) alpha_77 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_77 = (0,11,1,18,4,12,17,13,10,7,2,8,6,5,3,19,9,14,15)(16,20,21,22,23) Aut(G_77) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 78 sigma_78 = (0,3,17)(1,22,9)(2,19,15)(4,23,16)(5,18,13)(6,8,21)(7,20,14)(10,12,11) alpha_78 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_78 = (0,10,1,18,21,22,11,4,23,12,17,13,9,8,7,2,20,6,5,3,19,14,15)(16) Aut(G_78) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 79 sigma_79 = (0,3,17)(1,22,9)(2,19,15)(4,10,23)(5,18,13)(6,8,21)(7,20,14)(11,12,16) alpha_79 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_79 = (0,11,10,1,18,21,22,4,12,17,13,9,8,7,2,20,6,5,3,19,14,15)(16,23) Aut(G_79) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 80 sigma_80 = (0,3,17)(1,12,22)(2,19,15)(4,23,16)(5,18,13)(6,8,21)(7,20,14)(9,10,11) alpha_80 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_80 = (0,1,18,21,11,4,23,10,12,17,13,22,9,8,7,2,20,6,5,3,19,14,15)(16) Aut(G_80) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 81 sigma_81 = (0,3,17)(1,12,20)(2,19,15)(4,6,23)(5,18,13)(7,8,21)(9,22,14)(10,16,11) alpha_81 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_81 = (0,1,18,4,10,9,8,12,17,13,20,7,2,22,11,6,5,3,19,21,14,15)(16,23) Aut(G_81) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 82 sigma_82 = (0,3,17)(1,12,20)(2,19,15)(4,23,16)(5,18,13)(6,10,11)(7,8,21)(9,22,14) alpha_82 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_82 = (0,1,18,11,4,23,10,9,8,12,17,13,20,7,2,22,6,5,3,19,21,14,15)(16) Aut(G_82) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 83 sigma_83 = (0,3,17)(1,12,20)(2,19,15)(4,6,22)(5,18,13)(7,21,14)(8,16,11)(9,23,10) alpha_83 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_83 = (0,1,18,4,8,12,17,13,20,11,9,7,2,21,10,6,5,3,19,14,15)(16,22,23) Aut(G_83) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 84 sigma_84 = (0,3,17)(1,12,20)(2,19,15)(4,23,16)(5,18,13)(6,10,11)(7,21,14)(8,22,9) alpha_84 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_84 = (0,1,18,11,4,23,10,8,12,17,13,20,9,7,2,21,22,6,5,3,19,14,15)(16) Aut(G_84) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 85 sigma_85 = (0,3,17)(1,23,10)(2,22,9)(4,6,19)(5,18,13)(7,14,20)(8,15,21)(11,12,16) alpha_85 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_85 = (0,11,1,18,4,12,17,13,10,2,7,6,5,3,8,14,9,15)(16,19,20,21,22,23) Aut(G_85) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 86 sigma_86 = (0,3,18)(1,12,17)(2,19,15)(4,13,20)(5,16,11)(6,21,8)(7,23,10)(9,14,22) alpha_86 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_86 = (0,1,4,5,12,18,8,13,17,11,7,2,9,6,3,19,10,14,15)(16,20,21,22,23) Aut(G_86) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 87 sigma_87 = (0,3,18)(1,12,17)(2,19,15)(4,23,16)(5,22,9)(6,8,21)(7,20,14)(10,11,13) alpha_87 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_87 = (0,1,11,4,23,10,5,12,18,21,22,13,17,9,8,7,2,20,6,3,19,14,15)(16) Aut(G_87) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 88 sigma_88 = (0,3,18)(1,12,17)(2,19,15)(4,13,22)(5,16,11)(6,8,21)(7,20,14)(9,23,10) alpha_88 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_88 = (0,1,4,5,12,18,21,10,13,17,11,9,8,7,2,20,6,3,19,14,15)(16,22,23) Aut(G_88) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 89 sigma_89 = (0,3,18)(1,12,17)(2,19,15)(4,13,21)(5,16,11)(6,22,9)(7,20,14)(8,23,10) alpha_89 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_89 = (0,1,4,5,12,18,9,13,17,11,8,7,2,20,10,6,3,19,14,15)(16,21,22,23) Aut(G_89) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 90 sigma_90 = (0,3,18)(1,12,17)(2,23,10)(4,13,19)(5,16,11)(6,20,7)(8,14,21)(9,15,22) alpha_90 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_90 = (0,1,4,5,12,18,7,13,17,11,2,8,6,3,9,14,10,15)(16,19,20,21,22,23) Aut(G_90) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 91 sigma_91 = (0,21,8)(1,12,17)(2,18,15)(3,22,9)(4,13,20)(5,16,11)(6,19,14)(7,23,10) alpha_91 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_91 = (0,1,4,5,12,8,13,17,11,7,6,2,19,10,3,18,14,15,9)(16,20,21,22,23) Aut(G_91) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 92 sigma_92 = (0,20,7)(1,12,17)(2,18,15)(3,21,8)(4,13,19)(5,16,11)(6,23,10)(9,14,22) alpha_92 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_92 = (0,1,4,5,12,7,13,17,11,6,2,9,3,18,10,14,15,8)(16,19,20,21,22,23) Aut(G_92) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 93 sigma_93 = (0,8,21)(1,12,17)(2,5,18)(3,14,19)(4,23,16)(6,22,9)(7,15,20)(10,11,13) alpha_93 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_93 = (0,1,11,4,23,10,6,5,12,21,22,13,17,2,3,7,14,18,9,8,15,19,20)(16) Aut(G_93) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 94 sigma_94 = (0,8,21)(1,12,17)(2,5,18)(3,14,19)(4,13,22)(6,16,11)(7,15,20)(9,23,10) alpha_94 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_94 = (0,1,4,6,5,12,21,10,13,17,2,3,7,14,18,11,9,8,15,19,20)(16,22,23) Aut(G_94) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 95 sigma_95 = (0,22,9)(1,12,17)(2,5,18)(3,14,19)(4,13,21)(6,16,11)(7,15,20)(8,23,10) alpha_95 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_95 = (0,1,4,6,5,12,9,13,17,2,3,7,14,18,11,8,15,19,20,10)(16,21,22,23) Aut(G_95) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 96 sigma_96 = (0,3,19)(1,12,17)(2,5,18)(4,13,20)(6,16,11)(7,21,8)(9,14,22)(10,15,23) alpha_96 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_96 = (0,1,4,6,5,12,19,8,13,17,2,9,7,3,10,14,18,11,15)(16,20,21,22,23) Aut(G_96) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 97 sigma_97 = (0,18,13)(1,12,17)(2,19,15)(3,22,9)(4,6,21)(5,16,11)(7,20,14)(8,23,10) alpha_97 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_97 = (0,1,18,4,5,12,13,17,11,8,7,2,20,10,3,19,14,15,9,6)(16,21,22,23) Aut(G_97) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 98 sigma_98 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(9,12,22)(10,11,13) alpha_98 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_98 = (0,9,8,1,11,4,23,10,12,21,22,13,7,6,5,2,18,3,17,14,15,19,20)(16) Aut(G_98) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 99 sigma_99 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(9,22,13)(10,12,11) alpha_99 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_99 = (0,10,9,8,1,22,11,4,23,12,21,13,7,6,5,2,18,3,17,14,15,19,20)(16) Aut(G_99) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 100 sigma_100 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,10,23)(5,18,14)(9,22,13)(11,12,16) alpha_100 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_100 = (0,11,10,9,8,1,22,4,12,21,13,7,6,5,2,18,3,17,14,15,19,20)(16,23) Aut(G_100) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 101 sigma_101 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,13,22)(5,18,14)(9,23,10)(11,12,16) alpha_101 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_101 = (0,11,9,8,1,4,12,21,10,13,7,6,5,2,18,3,17,14,15,19,20)(16,22,23) Aut(G_101) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 102 sigma_102 = (0,21,13)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(8,22,9)(10,12,11) alpha_102 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_102 = (0,10,8,1,21,22,11,4,23,12,13,7,6,5,2,18,3,17,14,15,19,20,9)(16) Aut(G_102) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 103 sigma_103 = (0,21,13)(1,20,7)(2,17,15)(3,6,19)(4,10,23)(5,18,14)(8,22,9)(11,12,16) alpha_103 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_103 = (0,11,10,8,1,21,22,4,12,13,7,6,5,2,18,3,17,14,15,19,20,9)(16,23) Aut(G_103) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 104 sigma_104 = (0,9,22)(1,12,20)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(7,8,21)(10,11,13) alpha_104 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_104 = (0,1,11,4,23,10,9,8,12,22,13,20,7,6,5,2,18,3,17,14,15,19,21)(16) Aut(G_104) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 105 sigma_105 = (0,22,13)(1,12,20)(2,17,15)(3,6,19)(4,10,23)(5,18,14)(7,8,21)(9,16,11) alpha_105 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_105 = (0,1,22,4,9,8,12,13,20,7,6,5,2,18,3,17,14,15,19,21,11,10)(16,23) Aut(G_105) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 106 sigma_106 = (0,22,13)(1,12,20)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(7,8,21)(9,11,10) alpha_106 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_106 = (0,1,22,11,4,23,9,8,12,13,20,7,6,5,2,18,3,17,14,15,19,21,10)(16) Aut(G_106) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 107 sigma_107 = (0,23,10)(1,12,20)(2,17,15)(3,6,19)(4,13,22)(5,18,14)(7,8,21)(9,16,11) alpha_107 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_107 = (0,1,4,9,8,12,10,13,20,7,6,5,2,18,3,17,14,15,19,21,11)(16,22,23) Aut(G_107) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 108 sigma_108 = (0,17,13)(1,12,19)(2,7,20)(3,18,5)(4,6,21)(8,16,11)(9,14,22)(10,15,23) alpha_108 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_108 = (0,1,17,18,4,8,7,12,13,19,2,9,6,3,10,14,20,11,15,5)(16,21,22,23) Aut(G_108) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 109 sigma_109 = (0,17,13)(1,22,9)(2,19,15)(3,18,5)(4,23,16)(6,8,21)(7,20,14)(10,12,11) alpha_109 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_109 = (0,10,1,17,18,21,22,11,4,23,12,13,9,8,7,2,20,6,3,19,14,15,5)(16) Aut(G_109) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 110 sigma_110 = (0,17,13)(1,22,9)(2,19,15)(3,18,5)(4,10,23)(6,8,21)(7,20,14)(11,12,16) alpha_110 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_110 = (0,11,10,1,17,18,21,22,4,12,13,9,8,7,2,20,6,3,19,14,15,5)(16,23) Aut(G_110) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 111 sigma_111 = (0,17,13)(1,12,22)(2,19,15)(3,18,5)(4,23,16)(6,8,21)(7,20,14)(9,10,11) alpha_111 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_111 = (0,1,17,18,21,11,4,23,10,12,13,22,9,8,7,2,20,6,3,19,14,15,5)(16) Aut(G_111) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 112 sigma_112 = (0,17,13)(1,12,20)(2,19,15)(3,18,5)(4,6,22)(7,21,14)(8,16,11)(9,23,10) alpha_112 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_112 = (0,1,17,18,4,8,12,13,20,11,9,7,2,21,10,6,3,19,14,15,5)(16,22,23) Aut(G_112) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 113 sigma_113 = (0,17,13)(1,12,20)(2,19,15)(3,18,5)(4,6,23)(7,21,14)(8,22,9)(10,16,11) alpha_113 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_113 = (0,1,17,18,4,10,8,12,13,20,9,7,2,21,22,11,6,3,19,14,15,5)(16,23) Aut(G_113) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 114 sigma_114 = (0,17,13)(1,12,20)(2,19,15)(3,18,5)(4,23,16)(6,10,11)(7,21,14)(8,22,9) alpha_114 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_114 = (0,1,17,18,11,4,23,10,8,12,13,20,9,7,2,21,22,6,3,19,14,15,5)(16) Aut(G_114) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 115 sigma_115 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,23,16)(5,18,14)(9,12,22)(10,13,11) alpha_115 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_115 = (0,9,8,1,10,12,21,22,11,4,23,13,7,6,5,2,18,3,17,14,15,19,20)(16) Aut(G_115) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 116 sigma_116 = (0,8,21)(1,20,7)(2,17,15)(3,6,19)(4,10,23)(5,18,14)(9,12,22)(11,13,16) alpha_116 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_116 = (0,9,8,1,11,10,12,21,22,4,13,7,6,5,2,18,3,17,14,15,19,20)(16,23) Aut(G_116) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 117 sigma_117 = (0,17,13)(1,19,15)(2,5,18)(3,8,21)(4,10,23)(6,16,11)(7,20,14)(9,12,22) alpha_117 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_117 = (0,9,8,7,1,17,2,20,3,19,14,18,11,10,12,13,15,21,22,4,6,5)(16,23) Aut(G_117) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 118 sigma_118 = (0,17,13)(1,19,15)(2,5,18)(3,8,21)(4,23,16)(6,11,10)(7,20,14)(9,12,22) alpha_118 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_118 = (0,9,8,7,1,17,2,20,3,19,14,18,10,12,13,15,21,22,11,4,23,6,5)(16) Aut(G_118) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 119 sigma_119 = (0,17,13)(1,19,15)(2,5,18)(3,8,21)(4,23,16)(6,22,12)(7,20,14)(9,10,11) alpha_119 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_119 = (0,22,9,8,7,1,17,2,20,3,19,14,18,12,13,15,21,11,4,23,10,6,5)(16) Aut(G_119) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 120 sigma_120 = (0,17,13)(1,19,15)(2,5,18)(3,10,11)(4,23,16)(6,21,12)(7,20,14)(8,9,22) alpha_120 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_120 = (0,21,8,7,1,17,2,20,22,3,19,14,18,12,13,15,11,4,23,10,9,6,5)(16) Aut(G_120) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 121 sigma_121 = (0,17,13)(1,19,15)(2,5,18)(3,10,11)(4,23,16)(6,20,12)(7,8,21)(9,22,14) alpha_121 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_121 = (0,20,7,1,17,2,22,3,19,21,14,18,12,13,15,11,4,23,10,9,8,6,5)(16) Aut(G_121) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 122 sigma_122 = (0,17,13)(1,12,19)(2,5,18)(3,20,4)(6,16,11)(7,23,10)(8,14,21)(9,15,22) alpha_122 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_122 = (0,1,17,2,8,3,9,14,18,11,7,12,13,19,10,15,4,6,5)(16,20,21,22,23) Aut(G_122) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 123 sigma_123 = (0,17,13)(1,21,8)(2,23,10)(3,18,4)(5,16,11)(6,14,19)(7,15,20)(9,12,22) alpha_123 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_123 = (0,9,1,17,11,2,6,3,7,14,10,12,13,8,15,4,5)(16,18,19,20,21,22,23) Aut(G_123) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 124 sigma_124 = (0,18,13)(1,17,15)(2,19,12)(3,14,22)(4,10,23)(5,7,20)(6,21,8)(9,16,11) alpha_124 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_124 = (0,19,5,1,18,8,7,2,3,17,20,21,11,10,14,12,13,15,22,4,9,6)(16,23) Aut(G_124) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 125 sigma_125 = (0,18,13)(1,17,15)(2,19,12)(3,14,22)(4,23,16)(5,7,20)(6,21,8)(9,11,10) alpha_125 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_125 = (0,19,5,1,18,8,7,2,3,17,20,21,10,14,12,13,15,22,11,4,23,9,6)(16) Aut(G_125) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 126 sigma_126 = (0,18,13)(1,17,15)(2,19,12)(3,22,4)(5,7,20)(6,16,11)(8,21,14)(9,23,10) alpha_126 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_126 = (0,19,5,1,18,11,9,8,7,2,21,10,3,17,20,14,12,13,15,4,6)(16,22,23) Aut(G_126) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 127 sigma_127 = (0,18,13)(1,17,15)(2,19,12)(3,14,22)(4,10,23)(5,8,21)(6,20,7)(9,16,11) alpha_127 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_127 = (0,19,20,5,1,18,7,2,3,17,21,11,10,14,12,13,15,22,4,9,8,6)(16,23) Aut(G_127) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 128 sigma_128 = (0,18,13)(1,17,15)(2,19,12)(3,14,22)(4,23,16)(5,8,21)(6,20,7)(9,11,10) alpha_128 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_128 = (0,19,20,5,1,18,7,2,3,17,21,10,14,12,13,15,22,11,4,23,9,8,6)(16) Aut(G_128) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 129 sigma_129 = (0,11,10)(1,12,17)(2,18,5)(3,8,21)(4,23,16)(6,19,15)(7,20,14)(9,13,22) alpha_129 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_129 = (0,1,9,8,7,6,2,20,3,19,14,5,12,10,13,17,18,15,21,22,11,4,23)(16) Aut(G_129) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 130 sigma_130 = (0,16,11)(1,12,17)(2,18,5)(3,8,21)(4,10,23)(6,19,15)(7,20,14)(9,13,22) alpha_130 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_130 = (0,1,9,8,7,6,2,20,3,19,14,5,12,11,10,13,17,18,15,21,22,4)(16,23) Aut(G_130) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 131 sigma_131 = (0,22,13)(1,12,17)(2,18,5)(3,8,21)(4,23,16)(6,19,15)(7,20,14)(9,10,11) alpha_131 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_131 = (0,1,22,9,8,7,6,2,20,3,19,14,5,12,13,17,18,15,21,11,4,23,10)(16) Aut(G_131) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 132 sigma_132 = (0,21,13)(1,12,17)(2,18,5)(3,10,11)(4,23,16)(6,19,15)(7,20,14)(8,9,22) alpha_132 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_132 = (0,1,21,8,7,6,2,20,22,3,19,14,5,12,13,17,18,15,11,4,23,10,9)(16) Aut(G_132) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 133 sigma_133 = (0,20,13)(1,12,17)(2,18,5)(3,10,11)(4,23,16)(6,19,15)(7,8,21)(9,22,14) alpha_133 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_133 = (0,1,20,7,6,2,22,3,19,21,14,5,12,13,17,18,15,11,4,23,10,9,8)(16) Aut(G_133) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 134 sigma_134 = (0,20,13)(1,12,17)(2,18,5)(3,22,4)(6,19,15)(7,8,21)(9,16,11)(10,14,23) alpha_134 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_134 = (0,1,20,7,6,2,10,3,19,21,11,14,5,12,13,17,18,15,4,9,8)(16,22,23) Aut(G_134) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 135 sigma_135 = (0,16,11)(1,12,17)(2,18,5)(3,20,4)(6,13,19)(7,23,10)(8,14,21)(9,15,22) alpha_135 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_135 = (0,1,6,2,8,3,9,14,5,12,11,7,13,17,18,19,10,15,4)(16,20,21,22,23) Aut(G_135) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 136 sigma_136 = (0,7,20)(1,17,15)(2,18,12)(3,14,19)(4,6,21)(5,16,11)(8,23,10)(9,13,22) alpha_136 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_136 = (0,18,4,5,1,9,6,2,3,17,11,8,7,14,12,20,10,13,15,19)(16,21,22,23) Aut(G_136) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 137 sigma_137 = (0,7,20)(1,17,15)(2,18,12)(3,14,19)(4,6,22)(5,16,11)(8,21,13)(9,23,10) alpha_137 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_137 = (0,18,4,5,1,21,10,6,2,3,17,11,9,8,7,14,12,20,13,15,19)(16,22,23) Aut(G_137) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 138 sigma_138 = (0,7,20)(1,17,15)(2,18,12)(3,14,19)(4,23,16)(5,22,9)(6,10,11)(8,21,13) alpha_138 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_138 = (0,18,11,4,23,10,5,1,21,22,6,2,3,17,9,8,7,14,12,20,13,15,19)(16) Aut(G_138) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 139 sigma_139 = (0,22,9)(1,17,15)(2,18,12)(3,14,19)(4,6,20)(5,16,11)(7,23,10)(8,13,21) alpha_139 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_139 = (0,18,4,5,1,8,6,2,3,17,11,7,14,12,9,13,15,19,10)(16,20,21,22,23) Aut(G_139) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 140 sigma_140 = (0,3,19)(1,17,15)(2,18,12)(4,6,21)(5,16,11)(7,14,20)(8,23,10)(9,13,22) alpha_140 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_140 = (0,18,4,5,1,9,6,2,7,3,17,11,8,14,12,19,20,10,13,15)(16,21,22,23) Aut(G_140) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 141 sigma_141 = (0,3,19)(1,17,15)(2,18,12)(4,10,23)(5,16,11)(6,9,22)(7,14,20)(8,21,13) alpha_141 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_141 = (0,18,22,4,5,1,21,6,2,7,3,17,11,10,9,8,14,12,19,20,13,15)(16,23) Aut(G_141) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 142 sigma_142 = (0,3,19)(1,17,15)(2,18,12)(4,23,16)(5,11,10)(6,9,22)(7,14,20)(8,21,13) alpha_142 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_142 = (0,18,22,11,4,23,5,1,21,6,2,7,3,17,10,9,8,14,12,19,20,13,15)(16) Aut(G_142) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 143 sigma_143 = (0,3,19)(1,17,15)(2,18,12)(4,6,22)(5,16,11)(7,14,20)(8,21,13)(9,23,10) alpha_143 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_143 = (0,18,4,5,1,21,10,6,2,7,3,17,11,9,8,14,12,19,20,13,15)(16,22,23) Aut(G_143) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 144 sigma_144 = (0,3,19)(1,17,15)(2,18,12)(4,23,16)(5,22,9)(6,10,11)(7,14,20)(8,21,13) alpha_144 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_144 = (0,18,11,4,23,10,5,1,21,22,6,2,7,3,17,9,8,14,12,19,20,13,15)(16) Aut(G_144) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 145 sigma_145 = (0,21,8)(1,17,15)(2,18,12)(3,22,9)(4,6,19)(5,16,11)(7,13,20)(10,14,23) alpha_145 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_145 = (0,18,4,5,1,7,6,2,10,3,17,11,14,12,8,13,15,9)(16,19,20,21,22,23) Aut(G_145) = C3 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 146 sigma_146 = (0,3,18)(1,11,10)(2,17,12)(4,23,16)(5,8,21)(6,14,19)(7,20,13)(9,15,22) alpha_146 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_146 = (0,17,21,22,11,4,23,1,20,5,2,6,3,9,8,7,14,12,18,19,13,10,15)(16) Aut(G_146) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 147 sigma_147 = (0,3,18)(1,16,11)(2,17,12)(4,10,23)(5,8,21)(6,14,19)(7,20,13)(9,15,22) alpha_147 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_147 = (0,17,21,22,4,1,20,5,2,6,3,9,8,7,14,12,18,19,13,11,10,15)(16,23) Aut(G_147) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 148 sigma_148 = (0,17,13)(1,19,15)(2,5,18)(3,22,9)(4,6,21)(7,20,14)(8,23,10)(11,12,16) alpha_148 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_148 = (0,11,8,7,1,17,2,20,10,3,19,14,18,4,12,13,15,9,6,5)(16,21,22,23) Aut(G_148) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 149 sigma_149 = (0,17,13)(1,19,15)(2,5,18)(3,21,8)(4,6,20)(7,23,10)(9,14,22)(11,12,16) alpha_149 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_149 = (0,11,7,1,17,2,9,3,19,10,14,18,4,12,13,15,8,6,5)(16,20,21,22,23) Aut(G_149) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 150 sigma_150 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,10,23)(7,14,22)(8,21,15)(9,16,11) alpha_150 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_150 = (0,1,17,2,7,3,21,11,10,14,18,19,22,4,9,8,12,13,20,15,6,5)(16,23) Aut(G_150) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 151 sigma_151 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,23,16)(7,14,22)(8,21,15)(9,11,10) alpha_151 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_151 = (0,1,17,2,7,3,21,10,14,18,19,22,11,4,23,9,8,12,13,20,15,6,5)(16) Aut(G_151) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 152 sigma_152 = (0,20,13)(1,17,15)(2,8,21)(3,22,9)(4,10,23)(5,18,14)(6,12,19)(7,16,11) alpha_152 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_152 = (0,6,5,1,20,2,18,19,11,10,3,17,14,21,22,4,7,12,13,15,9,8)(16,23) Aut(G_152) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 153 sigma_153 = (0,20,13)(1,17,15)(2,8,21)(3,22,9)(4,23,16)(5,18,14)(6,12,19)(7,11,10) alpha_153 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_153 = (0,6,5,1,20,2,18,19,10,3,17,14,21,22,11,4,23,7,12,13,15,9,8)(16) Aut(G_153) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 154 sigma_154 = (0,20,13)(1,17,15)(2,8,21)(3,7,22)(4,23,16)(5,18,14)(6,12,19)(9,10,11) alpha_154 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_154 = (0,6,5,1,20,2,18,19,3,17,14,21,11,4,23,10,7,12,13,15,22,9,8)(16) Aut(G_154) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 155 sigma_155 = (0,20,13)(1,17,15)(2,22,4)(3,7,21)(5,18,14)(6,12,19)(8,23,10)(9,16,11) alpha_155 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_155 = (0,6,5,1,20,10,2,18,19,3,17,14,4,9,7,12,13,15,21,11,8)(16,22,23) Aut(G_155) = C3 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 156 sigma_156 = (0,21,8)(1,17,15)(2,19,4)(3,22,9)(5,18,14)(6,23,10)(7,13,20)(11,12,16) alpha_156 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_156 = (0,11,6,5,1,7,2,18,10,3,17,14,4,12,8,13,15,9)(16,19,20,21,22,23) Aut(G_156) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 157 sigma_157 = (0,19,6)(1,22,15)(2,5,18)(3,14,11)(4,13,17)(7,20,16)(8,21,12)(9,23,10) alpha_157 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_157 = (0,21,10,1,4,20,12,6,5,13,15,11,9,8,7)(2,3,22,23,14,18,19,16,17) Aut(G_157) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 2 2 1 1] [0 0 2 1 1 1 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 158 sigma_158 = (0,19,6)(1,21,15)(2,5,18)(3,14,11)(4,13,17)(7,20,16)(8,23,10)(9,12,22) alpha_158 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_158 = (0,9,1,4,20,10,12,6,5,13,15,11,8,7)(2,3,21,22,23,14,18,19,16,17) Aut(G_158) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 2 1 1 1] [0 0 2 1 1 1 1 1 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 159 sigma_159 = (0,19,13)(1,21,8)(2,4,22)(3,5,18)(6,20,7)(9,23,10)(11,12,16)(14,15,17) alpha_159 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_159 = (0,11,9,1,19,20,21,10,4,12,13,8,6,5,15,18,7)(2,17,3,14,22,23,16) Aut(G_159) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 1 1] [0 0 2 1 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 160 sigma_160 = (0,19,13)(1,12,21)(2,11,16)(3,5,18)(4,8,22)(6,20,7)(9,23,10)(14,15,17) alpha_160 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_160 = (0,1,19,20,4,11,9,12,13,21,10,8,6,5,15,18,7)(2,17,3,14,16,22,23) Aut(G_160) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 1 1] [0 0 2 1 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 161 sigma_161 = (0,19,13)(1,12,21)(2,11,16)(3,5,18)(4,10,23)(6,20,7)(8,9,22)(14,15,17) alpha_161 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_161 = (0,1,19,20,22,4,11,10,9,12,13,21,8,6,5,15,18,7)(2,17,3,14,16,23) Aut(G_161) = C2 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 2 1] [0 0 2 1 1 1 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 162 sigma_162 = (0,8,21)(1,12,19)(2,11,16)(3,5,18)(4,13,22)(6,7,20)(9,23,10)(14,15,17) alpha_162 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_162 = (0,1,4,11,9,8,7,12,21,10,13,19,6,5,15,18,20)(2,17,3,14,16,22,23) Aut(G_162) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 1 1] [0 0 2 1 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 163 sigma_163 = (0,8,21)(1,12,19)(2,11,16)(3,5,18)(4,10,23)(6,7,20)(9,22,13)(14,15,17) alpha_163 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_163 = (0,1,22,4,11,10,9,8,7,12,21,13,19,6,5,15,18,20)(2,17,3,14,16,23) Aut(G_163) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 2 1] [0 0 2 1 1 1 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 164 sigma_164 = (0,22,9)(1,12,19)(2,11,16)(3,5,18)(4,13,21)(6,7,20)(8,23,10)(14,15,17) alpha_164 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_164 = (0,1,4,11,8,7,12,9,13,19,6,5,15,18,20,10)(2,17,3,14,16,21,22,23) Aut(G_164) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 1 1 1] [0 0 2 1 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 165 sigma_165 = (0,23,10)(1,12,19)(2,9,22)(3,5,18)(4,13,21)(6,7,20)(8,16,11)(14,15,17) alpha_165 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_165 = (0,1,4,8,7,12,10,9,13,19,6,5,15,18,20,11)(2,17,3,14,22,23,16,21) Aut(G_165) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 1 1 1] [0 0 2 1 1 1 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 166 sigma_166 = (0,21,13)(1,12,19)(2,11,16)(3,5,18)(4,10,23)(6,7,20)(8,22,9)(14,15,17) alpha_166 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_166 = (0,1,21,22,4,11,10,8,7,12,13,19,6,5,15,18,20,9)(2,17,3,14,16,23) Aut(G_166) = C2 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 2 1] [0 0 2 1 1 1 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 167 sigma_167 = (0,21,13)(1,12,19)(2,4,22)(3,5,18)(6,7,20)(8,16,11)(9,23,10)(14,15,17) alpha_167 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_167 = (0,1,21,10,4,8,7,12,13,19,6,5,15,18,20,11,9)(2,17,3,14,22,23,16) Aut(G_167) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 2 2 1 1] [0 0 2 1 1 1 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 168 sigma_168 = (0,21,8)(1,12,19)(2,9,22)(3,5,18)(4,13,20)(6,23,10)(7,16,11)(14,15,17) alpha_168 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_168 = (0,1,4,7,12,8,13,19,11,6,5,15,18,10,9)(2,17,3,14,22,23,16,20,21) Aut(G_168) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 1 1 1 1] [0 0 2 1 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 169 sigma_169 = (0,22,9)(1,12,19)(2,8,21)(3,5,18)(4,13,20)(6,23,10)(7,16,11)(14,15,17) alpha_169 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_169 = (0,1,4,7,12,9,8,13,19,11,6,5,15,18,10)(2,17,3,14,21,22,23,16,20) Aut(G_169) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 1 1 1 1] [0 0 2 1 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 170 sigma_170 = (0,22,9)(1,12,19)(2,4,20)(3,5,18)(6,23,10)(7,16,11)(8,13,21)(14,15,17) alpha_170 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_170 = (0,1,8,4,7,12,9,13,19,11,6,5,15,18,10)(2,17,3,14,20,21,22,23,16) Aut(G_170) = 1 edge-face adjacency matrix [2 2 0 1 1 1 2 2 1 1 1 1] [0 0 2 1 1 1 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 171 sigma_171 = (0,8,21)(1,18,5)(2,11,16)(3,6,19)(4,13,22)(7,12,20)(9,23,10)(14,15,17) alpha_171 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_171 = (0,7,6,1,4,11,9,8,12,21,10,13,5,15,19,20)(2,17,18,3,14,16,22,23) Aut(G_171) = C2 edge-face adjacency matrix [2 2 0 1 1 1 1 2 2 2 1 1] [0 0 2 1 1 1 1 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 172 sigma_172 = (0,8,21)(1,18,5)(2,11,16)(3,7,20)(4,13,22)(6,12,19)(9,23,10)(14,15,17) alpha_172 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_172 = (0,6,1,4,11,9,8,7,12,21,10,13,5,15,20)(2,17,18,19,3,14,16,22,23) Aut(G_172) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 2 2 1 1] [0 0 2 1 1 1 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 173 sigma_173 = (0,22,9)(1,18,5)(2,11,16)(3,7,20)(4,13,21)(6,12,19)(8,23,10)(14,15,17) alpha_173 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_173 = (0,6,1,4,11,8,7,12,9,13,5,15,20,10)(2,17,18,19,3,14,16,21,22,23) Aut(G_173) = C2 edge-face adjacency matrix [2 2 0 1 1 1 1 1 2 1 1 1] [0 0 2 1 1 1 1 1 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 174 sigma_174 = (0,21,13)(1,18,5)(2,4,22)(3,7,20)(6,12,19)(8,16,11)(9,23,10)(14,15,17) alpha_174 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_174 = (0,6,1,21,10,4,8,7,12,13,5,15,20,11,9)(2,17,18,19,3,14,22,23,16) Aut(G_174) = 1 edge-face adjacency matrix [2 2 0 1 1 1 1 1 2 2 1 1] [0 0 2 1 1 1 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 175 sigma_175 = (0,20,7)(1,12,17)(2,6,19)(3,14,11)(4,13,18)(5,22,15)(8,21,16)(9,23,10) alpha_175 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_175 = (0,1,4,21,10,5,12,7,6,13,17,15,11,9,8)(2,3,22,23,14,19,20,16,18) Aut(G_175) = 1 edge-face adjacency matrix [2 2 0 1 1 2 1 1 1 2 1 1] [0 0 2 1 1 0 1 1 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 176 sigma_176 = (0,8,21)(1,12,17)(2,11,16)(3,7,20)(4,13,22)(5,19,6)(9,23,10)(14,15,18) alpha_176 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_176 = (0,1,4,11,9,8,7,5,12,21,10,13,17,6,15,20)(2,18,19,3,14,16,22,23) Aut(G_176) = 1 edge-face adjacency matrix [2 2 0 1 1 2 1 1 2 2 1 1] [0 0 2 1 1 0 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 177 sigma_177 = (0,21,13)(1,12,17)(2,4,22)(3,7,20)(5,19,6)(8,16,11)(9,23,10)(14,15,18) alpha_177 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_177 = (0,1,21,10,4,8,7,5,12,13,17,6,15,20,11,9)(2,18,19,3,14,22,23,16) Aut(G_177) = C2 edge-face adjacency matrix [2 2 0 1 1 2 1 1 2 2 1 1] [0 0 2 1 1 0 1 1 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 178 sigma_178 = (0,10,11)(1,12,17)(2,18,5)(3,9,22)(4,23,16)(6,19,15)(7,13,20)(8,21,14) alpha_178 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_178 = (0,1,7,6,2,21,3,19,20,14,5,12,11,4,23,10,9,8,13,17,18,15,22)(16) Aut(G_178) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 179 sigma_179 = (0,3,22)(1,12,17)(2,18,5)(4,10,23)(6,19,15)(7,13,20)(8,21,14)(9,16,11) alpha_179 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_179 = (0,1,7,6,2,21,11,10,3,19,20,14,5,12,22,4,9,8,13,17,18,15)(16,23) Aut(G_179) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 180 sigma_180 = (0,3,22)(1,12,17)(2,18,5)(4,23,16)(6,19,15)(7,13,20)(8,21,14)(9,11,10) alpha_180 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_180 = (0,1,7,6,2,21,10,3,19,20,14,5,12,22,11,4,23,9,8,13,17,18,15)(16) Aut(G_180) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 181 sigma_181 = (0,22,4)(1,12,17)(2,18,5)(3,23,10)(6,19,15)(7,13,20)(8,21,14)(9,16,11) alpha_181 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_181 = (0,1,7,6,2,21,11,3,19,20,14,5,12,4,9,8,13,17,18,15,10)(16,22,23) Aut(G_181) = C3 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 182 sigma_182 = (0,21,4)(1,12,17)(2,18,5)(3,22,9)(6,19,15)(7,13,20)(8,16,11)(10,14,23) alpha_182 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_182 = (0,1,7,6,2,10,3,19,20,11,14,5,12,4,8,13,17,18,15,9)(16,21,22,23) Aut(G_182) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 183 sigma_183 = (0,10,11)(1,12,17)(2,18,5)(3,8,21)(4,23,16)(6,19,15)(7,20,14)(9,13,22) alpha_183 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_183 = (0,1,9,8,7,6,2,20,3,19,14,5,12,11,4,23,10,13,17,18,15,21,22)(16) Aut(G_183) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 184 sigma_184 = (0,22,4)(1,12,17)(2,18,5)(3,8,21)(6,19,15)(7,20,14)(9,23,10)(11,13,16) alpha_184 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_184 = (0,1,11,9,8,7,6,2,20,3,19,14,5,12,4,13,17,18,15,21,10)(16,22,23) Aut(G_184) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 185 sigma_185 = (0,10,11)(1,12,17)(2,18,5)(3,9,22)(4,23,16)(6,19,15)(7,20,14)(8,13,21) alpha_185 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_185 = (0,1,8,7,6,2,20,21,3,19,14,5,12,11,4,23,10,9,13,17,18,15,22)(16) Aut(G_185) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 186 sigma_186 = (0,3,22)(1,12,17)(2,18,5)(4,10,23)(6,19,15)(7,20,14)(8,13,21)(9,16,11) alpha_186 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_186 = (0,1,8,7,6,2,20,21,11,10,3,19,14,5,12,22,4,9,13,17,18,15)(16,23) Aut(G_186) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 187 sigma_187 = (0,3,22)(1,12,17)(2,18,5)(4,23,16)(6,19,15)(7,20,14)(8,13,21)(9,11,10) alpha_187 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_187 = (0,1,8,7,6,2,20,21,10,3,19,14,5,12,22,11,4,23,9,13,17,18,15)(16) Aut(G_187) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 188 sigma_188 = (0,21,4)(1,12,17)(2,18,5)(3,22,9)(6,19,15)(7,20,14)(8,23,10)(11,13,16) alpha_188 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_188 = (0,1,11,8,7,6,2,20,10,3,19,14,5,12,4,13,17,18,15,9)(16,21,22,23) Aut(G_188) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 189 sigma_189 = (0,20,4)(1,12,17)(2,18,5)(3,21,8)(6,19,15)(7,23,10)(9,14,22)(11,13,16) alpha_189 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_189 = (0,1,11,7,6,2,9,3,19,10,14,5,12,4,13,17,18,15,8)(16,20,21,22,23) Aut(G_189) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 190 sigma_190 = (0,23,4)(1,12,17)(2,18,5)(3,9,22)(6,13,19)(7,20,15)(8,21,14)(10,16,11) alpha_190 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_190 = (0,1,6,2,21,3,20,14,5,12,4,10,9,8,7,13,17,18,19,15,22,11)(16,23) Aut(G_190) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 191 sigma_191 = (0,10,11)(1,12,17)(2,18,5)(3,9,22)(4,23,16)(6,13,19)(7,20,15)(8,21,14) alpha_191 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_191 = (0,1,6,2,21,3,20,14,5,12,11,4,23,10,9,8,7,13,17,18,19,15,22)(16) Aut(G_191) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 192 sigma_192 = (0,3,22)(1,12,17)(2,18,5)(4,10,23)(6,13,19)(7,20,15)(8,21,14)(9,16,11) alpha_192 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_192 = (0,1,6,2,21,11,10,3,20,14,5,12,22,4,9,8,7,13,17,18,19,15)(16,23) Aut(G_192) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 193 sigma_193 = (0,3,22)(1,12,17)(2,18,5)(4,23,16)(6,13,19)(7,20,15)(8,21,14)(9,11,10) alpha_193 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_193 = (0,1,6,2,21,10,3,20,14,5,12,22,11,4,23,9,8,7,13,17,18,19,15)(16) Aut(G_193) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 194 sigma_194 = (0,3,17)(1,19,15)(2,13,18)(4,10,23)(5,8,21)(6,16,11)(7,20,14)(9,12,22) alpha_194 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_194 = (0,9,8,7,1,2,20,5,3,19,14,18,11,10,12,17,21,22,4,6,13,15)(16,23) Aut(G_194) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 195 sigma_195 = (0,3,17)(1,19,15)(2,13,18)(4,23,16)(5,8,21)(6,11,10)(7,20,14)(9,12,22) alpha_195 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_195 = (0,9,8,7,1,2,20,5,3,19,14,18,10,12,17,21,22,11,4,23,6,13,15)(16) Aut(G_195) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 196 sigma_196 = (0,3,17)(1,19,15)(2,13,18)(4,23,16)(5,8,21)(6,22,12)(7,20,14)(9,10,11) alpha_196 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_196 = (0,22,9,8,7,1,2,20,5,3,19,14,18,12,17,21,11,4,23,10,6,13,15)(16) Aut(G_196) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 197 sigma_197 = (0,3,17)(1,20,7)(2,13,18)(4,10,23)(5,8,21)(6,16,11)(9,12,22)(14,15,19) alpha_197 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_197 = (0,9,8,1,2,19,20,5,3,14,18,11,10,12,17,21,22,4,6,13,7,15)(16,23) Aut(G_197) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 198 sigma_198 = (0,3,17)(1,20,7)(2,13,18)(4,23,16)(5,8,21)(6,11,10)(9,12,22)(14,15,19) alpha_198 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_198 = (0,9,8,1,2,19,20,5,3,14,18,10,12,17,21,22,11,4,23,6,13,7,15)(16) Aut(G_198) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 199 sigma_199 = (0,3,17)(1,21,8)(2,23,10)(4,5,18)(6,14,19)(7,15,20)(9,12,22)(11,13,16) alpha_199 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_199 = (0,9,1,11,2,6,5,3,7,14,10,12,17,4,13,8,15)(16,18,19,20,21,22,23) Aut(G_199) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 200 sigma_200 = (0,17,4)(1,21,8)(2,23,10)(3,18,5)(6,14,19)(7,15,20)(9,12,22)(11,13,16) alpha_200 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_200 = (0,9,1,11,2,6,3,7,14,10,12,4,13,8,15,5)(16,17,18,19,20,21,22,23) Aut(G_200) = 1 edge-face adjacency matrix [2 2 2 2 1 1 1 1 1 1 1 1] [0 0 0 0 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 201 sigma_201 = (0,3,18)(1,22,9)(2,17,12)(4,10,23)(5,16,11)(6,14,19)(7,20,13)(8,15,21) alpha_201 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_201 = (0,17,11,10,1,20,21,22,4,5,2,6,3,8,7,14,12,18,19,13,9,15)(16,23) Aut(G_201) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 202 sigma_202 = (0,3,18)(1,22,9)(2,17,12)(4,23,16)(5,11,10)(6,14,19)(7,20,13)(8,15,21) alpha_202 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_202 = (0,17,10,1,20,21,22,11,4,23,5,2,6,3,8,7,14,12,18,19,13,9,15)(16) Aut(G_202) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 203 sigma_203 = (0,3,19)(1,5,18)(2,17,12)(4,10,23)(6,16,11)(7,14,20)(8,21,13)(9,15,22) alpha_203 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_203 = (0,17,1,21,22,4,6,5,2,7,3,9,8,14,12,19,20,13,18,11,10,15)(16,23) Aut(G_203) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 204 sigma_204 = (0,3,19)(1,5,18)(2,17,12)(4,23,16)(6,11,10)(7,14,20)(8,21,13)(9,15,22) alpha_204 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_204 = (0,17,1,21,22,11,4,23,6,5,2,7,3,9,8,14,12,19,20,13,18,10,15)(16) Aut(G_204) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 205 sigma_205 = (0,3,20)(1,5,18)(2,17,12)(4,10,23)(6,19,15)(7,16,11)(8,14,21)(9,22,13) alpha_205 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_205 = (0,17,1,22,4,7,6,5,2,8,3,19,11,10,9,14,12,20,21,13,18,15)(16,23) Aut(G_205) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 206 sigma_206 = (0,3,20)(1,5,18)(2,17,12)(4,23,16)(6,19,15)(7,11,10)(8,14,21)(9,22,13) alpha_206 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_206 = (0,17,1,22,11,4,23,7,6,5,2,8,3,19,10,9,14,12,20,21,13,18,15)(16) Aut(G_206) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 207 sigma_207 = (0,3,20)(1,5,18)(2,17,12)(4,13,22)(6,19,15)(7,16,11)(8,14,21)(9,23,10) alpha_207 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_207 = (0,17,1,4,7,6,5,2,8,3,19,11,9,14,12,20,21,10,13,18,15)(16,22,23) Aut(G_207) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 208 sigma_208 = (0,3,20)(1,5,18)(2,17,12)(4,13,22)(6,19,15)(7,21,14)(8,23,10)(9,16,11) alpha_208 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_208 = (0,17,1,4,9,7,6,5,2,21,11,8,3,19,14,12,20,10,13,18,15)(16,22,23) Aut(G_208) = C3 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 209 sigma_209 = (0,22,13)(1,12,17)(2,18,5)(3,8,21)(4,10,23)(6,19,15)(7,20,14)(9,16,11) alpha_209 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_209 = (0,1,22,4,9,8,7,6,2,20,3,19,14,5,12,13,17,18,15,21,11,10)(16,23) Aut(G_209) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 210 sigma_210 = (0,22,13)(1,12,17)(2,18,5)(3,8,21)(4,23,16)(6,19,15)(7,20,14)(9,11,10) alpha_210 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_210 = (0,1,22,11,4,23,9,8,7,6,2,20,3,19,14,5,12,13,17,18,15,21,10)(16) Aut(G_210) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 211 sigma_211 = (0,19,6)(1,12,17)(2,16,11)(3,20,7)(4,13,18)(5,23,10)(8,14,21)(9,15,22) alpha_211 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_211 = (0,1,4,2,8,3,9,14,11,5,12,6,13,17,10,15,7)(16,18,19,20,21,22,23) Aut(G_211) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 212 sigma_212 = (0,17,13)(1,12,18)(2,16,11)(3,20,7)(4,5,19)(6,23,10)(8,14,21)(9,15,22) alpha_212 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_212 = (0,1,17,4,2,8,3,9,14,11,6,12,13,18,10,15,7,5)(16,19,20,21,22,23) Aut(G_212) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 213 sigma_213 = (0,17,13)(1,7,20)(2,5,18)(3,22,9)(4,23,16)(6,19,12)(8,21,15)(10,14,11) alpha_213 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_213 = (0,19,1,17,2,10,3,21,22,11,4,23,14,18,12,13,20,15,9,8,7,6,5)(16) Aut(G_213) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 214 sigma_214 = (0,17,13)(1,7,20)(2,5,18)(3,22,9)(4,10,23)(6,19,12)(8,21,15)(11,14,16) alpha_214 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_214 = (0,19,1,17,2,11,10,3,21,22,4,14,18,12,13,20,15,9,8,7,6,5)(16,23) Aut(G_214) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 215 sigma_215 = (0,17,13)(1,12,19)(2,5,18)(3,22,9)(4,23,16)(6,21,8)(7,20,15)(10,14,11) alpha_215 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_215 = (0,1,17,2,10,3,20,21,22,11,4,23,14,18,8,7,12,13,19,15,9,6,5)(16) Aut(G_215) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 216 sigma_216 = (0,17,13)(1,12,19)(2,5,18)(3,22,9)(4,10,23)(6,21,8)(7,20,15)(11,14,16) alpha_216 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_216 = (0,1,17,2,11,10,3,20,21,22,4,14,18,8,7,12,13,19,15,9,6,5)(16,23) Aut(G_216) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 217 sigma_217 = (0,17,13)(1,7,20)(2,5,18)(3,22,9)(4,23,16)(6,19,12)(8,21,15)(10,11,14) alpha_217 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_217 = (0,19,1,17,2,11,4,23,10,3,21,22,14,18,12,13,20,15,9,8,7,6,5)(16) Aut(G_217) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 218 sigma_218 = (0,17,13)(1,7,20)(2,5,18)(3,16,11)(4,14,22)(6,19,12)(8,21,15)(9,23,10) alpha_218 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_218 = (0,19,1,17,2,4,3,21,10,14,18,12,13,20,15,11,9,8,7,6,5)(16,22,23) Aut(G_218) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 219 sigma_219 = (0,17,13)(1,7,20)(2,5,18)(3,16,11)(4,14,21)(6,19,12)(8,23,10)(9,15,22) alpha_219 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_219 = (0,19,1,17,2,4,3,9,14,18,12,13,20,10,15,11,8,7,6,5)(16,21,22,23) Aut(G_219) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 220 sigma_220 = (0,17,13)(1,22,9)(2,5,18)(3,16,11)(4,14,20)(6,19,12)(7,23,10)(8,15,21) alpha_220 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_220 = (0,19,10,1,17,2,4,3,8,14,18,12,13,9,15,11,7,6,5)(16,20,21,22,23) Aut(G_220) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 221 sigma_221 = (0,17,13)(1,8,21)(2,5,18)(3,19,6)(4,23,16)(7,20,12)(9,22,15)(10,11,14) alpha_221 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_221 = (0,20,1,17,2,11,4,23,10,9,8,7,3,22,14,18,19,12,13,21,15,6,5)(16) Aut(G_221) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 222 sigma_222 = (0,17,13)(1,8,21)(2,5,18)(3,19,6)(4,14,22)(7,20,12)(9,16,11)(10,15,23) alpha_222 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_222 = (0,20,1,17,2,4,9,8,7,3,10,14,18,19,12,13,21,11,15,6,5)(16,22,23) Aut(G_222) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 223 sigma_223 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,23,16)(7,22,9)(8,21,15)(10,11,14) alpha_223 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_223 = (0,1,17,2,11,4,23,10,7,3,21,22,14,18,19,9,8,12,13,20,15,6,5)(16) Aut(G_223) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 224 sigma_224 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,14,22)(7,16,11)(8,21,15)(9,23,10) alpha_224 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_224 = (0,1,17,2,4,7,3,21,10,14,18,19,11,9,8,12,13,20,15,6,5)(16,22,23) Aut(G_224) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 225 sigma_225 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,23,16)(7,21,8)(9,22,15)(10,11,14) alpha_225 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_225 = (0,1,17,2,11,4,23,10,9,7,3,22,14,18,19,8,12,13,20,21,15,6,5)(16) Aut(G_225) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 226 sigma_226 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,14,22)(7,21,8)(9,16,11)(10,15,23) alpha_226 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_226 = (0,1,17,2,4,9,7,3,10,14,18,19,8,12,13,20,21,11,15,6,5)(16,22,23) Aut(G_226) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 227 sigma_227 = (0,17,13)(1,12,20)(2,5,18)(3,19,6)(4,14,21)(7,16,11)(8,23,10)(9,15,22) alpha_227 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_227 = (0,1,17,2,4,7,3,9,14,18,19,11,8,12,13,20,10,15,6,5)(16,21,22,23) Aut(G_227) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 228 sigma_228 = (0,17,13)(1,21,8)(2,5,18)(3,16,11)(4,14,19)(6,23,10)(7,15,20)(9,12,22) alpha_228 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_228 = (0,9,1,17,2,4,3,7,14,18,10,12,13,8,15,11,6,5)(16,19,20,21,22,23) Aut(G_228) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 229 sigma_229 = (0,3,17)(1,12,18)(2,19,6)(4,7,21)(5,14,20)(8,23,10)(9,13,22)(11,15,16) alpha_229 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_229 = (0,1,9,7,2,5,3,11,8,14,6,12,17,20,10,13,18,19,4,15)(16,21,22,23) Aut(G_229) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 230 sigma_230 = (0,3,17)(1,12,18)(2,19,6)(4,7,22)(5,14,20)(8,21,13)(9,23,10)(11,15,16) alpha_230 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_230 = (0,1,21,10,7,2,5,3,11,9,8,14,6,12,17,20,13,18,19,4,15)(16,22,23) Aut(G_230) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 231 sigma_231 = (0,3,17)(1,12,18)(2,19,6)(4,23,16)(5,14,20)(7,10,11)(8,21,13)(9,15,22) alpha_231 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_231 = (0,1,21,22,7,2,5,3,9,8,14,6,12,17,20,13,18,19,11,4,23,10,15)(16) Aut(G_231) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 232 sigma_232 = (0,17,13)(1,7,20)(2,18,12)(3,21,8)(4,23,16)(5,19,6)(9,14,22)(10,15,11) alpha_232 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_232 = (0,18,19,1,17,6,2,9,3,10,14,12,13,20,21,22,11,4,23,15,8,7,5)(16) Aut(G_232) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 233 sigma_233 = (0,17,13)(1,7,20)(2,18,12)(3,21,8)(4,10,23)(5,19,6)(9,14,22)(11,15,16) alpha_233 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_233 = (0,18,19,1,17,6,2,9,3,11,10,14,12,13,20,21,22,4,15,8,7,5)(16,23) Aut(G_233) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 234 sigma_234 = (0,17,13)(1,10,11)(2,5,18)(3,19,6)(4,23,16)(7,14,20)(8,21,12)(9,15,22) alpha_234 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_234 = (0,21,22,1,17,2,7,3,9,8,14,18,19,20,12,13,11,4,23,10,15,6,5)(16) Aut(G_234) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 235 sigma_235 = (0,17,13)(1,22,4)(2,5,18)(3,19,6)(7,14,20)(8,21,12)(9,23,10)(11,15,16) alpha_235 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_235 = (0,21,10,1,17,2,7,3,11,9,8,14,18,19,20,12,13,4,15,6,5)(16,22,23) Aut(G_235) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 236 sigma_236 = (0,17,13)(1,12,21)(2,5,18)(3,19,6)(4,23,16)(7,14,20)(8,22,9)(10,15,11) alpha_236 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_236 = (0,1,17,2,7,3,10,8,14,18,19,20,9,12,13,21,22,11,4,23,15,6,5)(16) Aut(G_236) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 237 sigma_237 = (0,17,13)(1,12,21)(2,5,18)(3,19,6)(4,10,23)(7,14,20)(8,22,9)(11,15,16) alpha_237 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_237 = (0,1,17,2,7,3,11,10,8,14,18,19,20,9,12,13,21,22,4,15,6,5)(16,23) Aut(G_237) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 238 sigma_238 = (0,17,13)(1,21,4)(2,5,18)(3,19,6)(7,14,20)(8,23,10)(9,12,22)(11,15,16) alpha_238 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_238 = (0,9,1,17,2,7,3,11,8,14,18,19,20,10,12,13,4,15,6,5)(16,21,22,23) Aut(G_238) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 239 sigma_239 = (0,17,13)(1,12,19)(2,5,18)(3,22,9)(4,8,21)(6,20,7)(10,14,23)(11,15,16) alpha_239 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_239 = (0,1,17,2,10,3,11,14,18,7,12,13,19,20,4,15,9,8,6,5)(16,21,22,23) Aut(G_239) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 240 sigma_240 = (0,21,8)(1,12,17)(2,18,5)(3,22,9)(4,6,19)(7,13,20)(10,14,23)(11,15,16) alpha_240 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_240 = (0,1,7,6,2,10,3,11,14,5,12,8,13,17,18,4,15,9)(16,19,20,21,22,23) Aut(G_240) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 241 sigma_241 = (0,19,13)(1,12,17)(2,18,5)(3,22,9)(4,8,21)(6,7,20)(10,14,23)(11,15,16) alpha_241 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_241 = (0,1,19,6,2,10,3,11,14,5,12,13,17,18,20,4,15,9,8,7)(16,21,22,23) Aut(G_241) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 242 sigma_242 = (0,16,11)(1,20,7)(2,23,10)(3,17,4)(5,14,18)(6,15,19)(8,12,21)(9,13,22) alpha_242 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_242 = (0,8,1,9,12,11,2,5,3,6,14,10,13,7,15,4)(16,17,18,19,20,21,22,23) Aut(G_242) = 1 edge-face adjacency matrix [2 2 2 2 1 1 1 1 1 1 1 1] [0 0 0 0 1 1 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 243 sigma_243 = (0,6,21)(1,12,19)(2,9,11)(3,17,16)(4,18,5)(7,13,20)(8,22,15)(10,23,14) alpha_243 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_243 = (0,1,7,12,21,2,23,9,6,4,17,18)(3,22,14,11,10,8,13,19,20,15,16,5) Aut(G_243) = S3 edge-face adjacency matrix [2 1 1 0 1 1 2 1 0 2 0 1] [0 1 1 2 1 1 0 1 2 0 2 1] -------------------------------------------------------------------------------- ribbon graph 244 sigma_244 = (0,6,21)(1,12,19)(2,22,8)(3,17,16)(4,18,5)(7,13,20)(9,23,10)(11,14,15) alpha_244 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_244 = (0,1,7,12,21,10,2,11,9,6,4,17,18)(3,14,8,13,19,20,22,23,15,16,5) Aut(G_244) = 1 edge-face adjacency matrix [2 1 1 0 1 1 2 1 0 2 1 1] [0 1 1 2 1 1 0 1 2 0 1 1] -------------------------------------------------------------------------------- ribbon graph 245 sigma_245 = (0,11,2)(1,12,19)(3,17,16)(4,18,5)(6,9,22)(7,13,20)(8,23,10)(14,15,21) alpha_245 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_245 = (0,1,7,12,2,21,6,4,17,18,22,23)(3,14,11,8,13,19,20,10,9,15,16,5) Aut(G_245) = C2 x C2 edge-face adjacency matrix [2 1 1 0 1 1 2 1 0 1 1 1] [0 1 1 2 1 1 0 1 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 246 sigma_246 = (0,22,2)(1,12,19)(3,17,16)(4,18,5)(6,11,10)(7,13,20)(8,23,9)(14,15,21) alpha_246 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_246 = (0,1,7,12,2,21,23,6,4,17,18,10)(3,14,22,11,8,13,19,20,9,15,16,5) Aut(G_246) = C2 edge-face adjacency matrix [2 1 1 0 1 1 2 1 0 1 1 1] [0 1 1 2 1 1 0 1 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 247 sigma_247 = (0,19,6)(1,16,11)(2,18,5)(3,20,7)(4,8,21)(9,14,22)(10,15,23)(12,13,17) alpha_247 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_247 = (0,17,18,19,20,4,1,12,6,2,9,8,3,10,14,5,13,11,15,7)(16,21,22,23) Aut(G_247) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 248 sigma_248 = (0,19,5)(1,23,10)(2,17,13)(3,14,18)(4,8,21)(6,20,7)(9,15,22)(11,12,16) alpha_248 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_248 = (0,11,1,17,19,20,4,12,5,2,3,9,8,6,14,13,10,15,18,7)(16,21,22,23) Aut(G_248) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 249 sigma_249 = (0,19,5)(1,22,9)(2,17,13)(3,14,18)(4,23,16)(6,15,20)(7,8,21)(10,12,11) alpha_249 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_249 = (0,10,1,17,19,21,22,11,4,23,12,5,2,3,6,14,13,9,8,15,18,20,7)(16) Aut(G_249) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 250 sigma_250 = (0,19,5)(1,22,9)(2,17,13)(3,14,18)(4,10,23)(6,15,20)(7,8,21)(11,12,16) alpha_250 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_250 = (0,11,10,1,17,19,21,22,4,12,5,2,3,6,14,13,9,8,15,18,20,7)(16,23) Aut(G_250) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 251 sigma_251 = (0,17,2)(1,22,9)(3,19,6)(4,5,18)(7,14,20)(8,15,21)(10,12,23)(11,13,16) alpha_251 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_251 = (0,10,1,11,12,2,7,3,8,14,17,4,13,9,15,6,5)(16,18,19,20,21,22,23) Aut(G_251) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 252 sigma_252 = (0,21,16)(1,12,17)(2,9,22)(3,14,19)(4,6,11)(5,13,18)(7,15,20)(8,23,10) alpha_252 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_252 = (0,1,5,12,16,11,8,15,19,20,10,9)(2,3,7,14,22,23,6,13,17,18,4,21) Aut(G_252) = C2 x C2 edge-face adjacency matrix [2 1 0 1 1 1 0 1 2 1 1 1] [0 1 2 1 1 1 2 1 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 253 sigma_253 = (0,21,16)(1,12,17)(2,11,10)(3,14,19)(4,6,22)(5,13,18)(7,15,20)(8,23,9) alpha_253 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_253 = (0,1,5,12,16,22,11,8,15,19,20,9)(2,3,7,14,10,6,13,17,18,4,21,23) Aut(G_253) = C2 edge-face adjacency matrix [2 1 0 1 1 1 0 1 2 1 1 1] [0 1 2 1 1 1 2 1 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 254 sigma_254 = (0,11,16)(1,12,17)(2,21,6)(3,14,19)(4,22,8)(5,13,18)(7,15,20)(9,23,10) alpha_254 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_254 = (0,1,5,12,16,8,15,19,20,22,23)(2,3,7,14,6,13,17,18,21,10,4,11,9) Aut(G_254) = 1 edge-face adjacency matrix [2 1 0 1 1 1 0 1 2 0 1 1] [0 1 2 1 1 1 2 1 0 2 1 1] -------------------------------------------------------------------------------- ribbon graph 255 sigma_255 = (0,8,22)(1,12,17)(2,21,6)(3,14,19)(4,9,11)(5,13,18)(7,15,20)(10,23,16) alpha_255 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_255 = (0,1,5,12,22,16,11,10,8,15,19,20)(2,3,7,14,6,13,17,18,21,4,23,9) Aut(G_255) = C6 edge-face adjacency matrix [2 1 0 1 1 1 0 1 2 0 2 1] [0 1 2 1 1 1 2 1 0 2 0 1] -------------------------------------------------------------------------------- ribbon graph 256 sigma_256 = (0,22,16)(1,12,17)(2,18,13)(3,14,20)(4,7,11)(5,6,19)(8,15,21)(9,23,10) alpha_256 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_256 = (0,1,18,5,12,16,11,9,15,20,21,10)(2,3,8,14,13,17,19,4,22,23,7,6) Aut(G_256) = 1 edge-face adjacency matrix [2 1 0 1 1 1 1 0 1 2 1 1] [0 1 2 1 1 1 1 2 1 0 1 1] -------------------------------------------------------------------------------- ribbon graph 257 sigma_257 = (0,6,19)(1,12,11)(2,22,13)(3,17,4)(5,14,18)(7,15,20)(8,21,16)(9,23,10) alpha_257 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_257 = (0,1,22,23,12,19,20,16,17,18)(2,5,3,7,6,14,13,11,9,8,15,4,21,10) Aut(G_257) = 1 edge-face adjacency matrix [2 1 0 0 1 1 1 1 1 0 1 1] [0 1 2 2 1 1 1 1 1 2 1 1] -------------------------------------------------------------------------------- ribbon graph 258 sigma_258 = (0,5,18)(1,12,11)(2,22,13)(3,17,4)(6,14,19)(7,15,20)(8,21,16)(9,23,10) alpha_258 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_258 = (0,1,22,23,12,18,19,20,16,17)(2,6,5,3,7,14,13,11,9,8,15,4,21,10) Aut(G_258) = 1 edge-face adjacency matrix [2 1 0 0 1 1 1 1 1 0 1 1] [0 1 2 2 1 1 1 1 1 2 1 1] -------------------------------------------------------------------------------- ribbon graph 259 sigma_259 = (0,11,16)(1,6,19)(2,18,5)(3,22,4)(7,20,15)(8,21,14)(9,23,10)(12,13,17) alpha_259 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_259 = (0,17,18,1,12,16,22,23)(2,21,10,3,20,14,5,13,19,15,4,11,9,8,7,6) Aut(G_259) = 1 edge-face adjacency matrix [2 1 0 0 1 1 1 0 0 0 1 1] [0 1 2 2 1 1 1 2 2 2 1 1] -------------------------------------------------------------------------------- ribbon graph 260 sigma_260 = (0,9,22)(1,5,18)(2,16,11)(3,19,4)(6,23,10)(7,14,20)(8,15,21)(12,13,17) alpha_260 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_260 = (0,17,1,12,22,23,16,19,20,21)(2,7,3,8,14,11,6,5,13,18,10,9,15,4) Aut(G_260) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 1 1 1 1 1] [0 1 2 2 1 1 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 261 sigma_261 = (0,8,21)(1,5,18)(2,16,11)(3,19,4)(6,23,10)(7,14,20)(9,15,22)(12,13,17) alpha_261 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_261 = (0,17,1,12,21,22,23,16,19,20)(2,7,3,9,8,14,11,6,5,13,18,10,15,4) Aut(G_261) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 1 1 1 1 1] [0 1 2 2 1 1 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 262 sigma_262 = (0,7,20)(1,5,18)(2,16,11)(3,19,4)(6,23,10)(8,14,21)(9,15,22)(12,13,17) alpha_262 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_262 = (0,17,1,12,20,21,22,23,16,19)(2,8,7,3,9,14,11,6,5,13,18,10,15,4) Aut(G_262) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 1 1 1 1 1] [0 1 2 2 1 1 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 263 sigma_263 = (0,9,22)(1,5,18)(2,19,6)(3,21,4)(7,20,15)(8,16,11)(10,14,23)(12,13,17) alpha_263 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_263 = (0,17,1,12,22,23,16,21)(2,10,9,3,20,11,14,6,5,13,18,19,15,4,8,7) Aut(G_263) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 0 0 1 1 1] [0 1 2 2 1 1 2 2 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 264 sigma_264 = (0,11,16)(1,5,18)(2,19,6)(3,22,4)(7,20,15)(8,21,14)(9,23,10)(12,13,17) alpha_264 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_264 = (0,17,1,12,16,22,23)(2,21,10,3,20,14,6,5,13,18,19,15,4,11,9,8,7) Aut(G_264) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 0 0 0 1 1] [0 1 2 2 1 1 2 2 2 2 1 1] -------------------------------------------------------------------------------- ribbon graph 265 sigma_265 = (0,11,16)(1,5,18)(2,19,6)(3,9,22)(4,10,23)(7,20,15)(8,21,14)(12,13,17) alpha_265 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_265 = (0,17,1,12,16,23)(2,21,3,20,14,6,5,13,18,19,15,22,4,11,10,9,8,7) Aut(G_265) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 0 0 0 0 1] [0 1 2 2 1 1 2 2 2 2 2 1] -------------------------------------------------------------------------------- ribbon graph 266 sigma_266 = (0,4,21)(1,5,18)(2,19,6)(3,22,9)(7,20,15)(8,16,11)(10,14,23)(12,13,17) alpha_266 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_266 = (0,17,1,12,21,22,23,16)(2,10,3,20,11,14,6,5,13,18,19,15,9,4,8,7) Aut(G_266) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 0 0 1 1 1] [0 1 2 2 1 1 2 2 2 1 1 1] -------------------------------------------------------------------------------- ribbon graph 267 sigma_267 = (0,4,19)(1,5,18)(2,16,11)(3,20,7)(6,23,10)(8,14,21)(9,15,22)(12,13,17) alpha_267 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_267 = (0,17,1,12,19,20,21,22,23,16)(2,8,3,9,14,11,6,5,13,18,10,15,7,4) Aut(G_267) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 1 1 1 1 1] [0 1 2 2 1 1 2 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 268 sigma_268 = (0,4,17)(1,11,15)(2,6,19)(3,20,7)(5,18,16)(8,14,21)(9,23,10)(12,13,22) alpha_268 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_268 = (0,22,23,1,12,17,16)(2,8,3,11,9,14,19,20,21,10,13,15,7,6,5,4,18) Aut(G_268) = 1 edge-face adjacency matrix [2 1 0 0 1 1 0 0 0 0 1 1] [0 1 2 2 1 1 2 2 2 2 1 1] -------------------------------------------------------------------------------- ribbon graph 269 sigma_269 = (0,17,2)(1,7,20)(3,22,9)(4,23,16)(5,18,13)(6,19,12)(8,21,15)(10,14,11) alpha_269 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_269 = (0,19,1,18,12,2,10,3,21,22,11,4,23,14,17,13,20,15,9,8,7,6,5)(16) Aut(G_269) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 270 sigma_270 = (0,17,2)(1,7,20)(3,22,9)(4,10,23)(5,18,13)(6,19,12)(8,21,15)(11,14,16) alpha_270 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_270 = (0,19,1,18,12,2,11,10,3,21,22,4,14,17,13,20,15,9,8,7,6,5)(16,23) Aut(G_270) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 271 sigma_271 = (0,17,2)(1,7,20)(3,14,22)(4,23,16)(5,18,13)(6,19,12)(8,21,15)(9,10,11) alpha_271 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_271 = (0,19,1,18,12,2,3,21,11,4,23,10,14,17,13,20,15,22,9,8,7,6,5)(16) Aut(G_271) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 272 sigma_272 = (0,17,2)(1,7,20)(3,21,8)(4,23,16)(5,18,13)(6,19,12)(9,22,15)(10,11,14) alpha_272 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_272 = (0,19,1,18,12,2,11,4,23,10,9,3,22,14,17,13,20,21,15,8,7,6,5)(16) Aut(G_272) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 273 sigma_273 = (0,17,2)(1,7,20)(3,21,8)(4,14,22)(5,18,13)(6,19,12)(9,16,11)(10,15,23) alpha_273 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_273 = (0,19,1,18,12,2,4,9,3,10,14,17,13,20,21,11,15,8,7,6,5)(16,22,23) Aut(G_273) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 274 sigma_274 = (0,17,2)(1,7,20)(3,16,11)(4,14,21)(5,18,13)(6,19,12)(8,23,10)(9,15,22) alpha_274 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_274 = (0,19,1,18,12,2,4,3,9,14,17,13,20,10,15,11,8,7,6,5)(16,21,22,23) Aut(G_274) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 275 sigma_275 = (0,17,2)(1,22,9)(3,16,11)(4,14,20)(5,18,13)(6,19,12)(7,23,10)(8,15,21) alpha_275 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_275 = (0,19,10,1,18,12,2,4,3,8,14,17,13,9,15,11,7,6,5)(16,20,21,22,23) Aut(G_275) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 276 sigma_276 = (0,17,2)(1,21,8)(3,16,11)(4,14,19)(5,18,13)(6,23,10)(7,15,20)(9,12,22) alpha_276 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_276 = (0,9,1,18,10,12,2,4,3,7,14,17,13,8,15,11,6,5)(16,19,20,21,22,23) Aut(G_276) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 277 sigma_277 = (0,18,5)(1,7,20)(2,17,13)(3,21,8)(4,23,16)(6,19,12)(9,14,22)(10,15,11) alpha_277 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_277 = (0,19,1,17,18,12,5,2,9,3,10,14,13,20,21,22,11,4,23,15,8,7,6)(16) Aut(G_277) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 278 sigma_278 = (0,18,5)(1,7,20)(2,17,13)(3,21,8)(4,10,23)(6,19,12)(9,14,22)(11,15,16) alpha_278 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_278 = (0,19,1,17,18,12,5,2,9,3,11,10,14,13,20,21,22,4,15,8,7,6)(16,23) Aut(G_278) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 279 sigma_279 = (0,17,2)(1,10,11)(3,18,5)(4,23,16)(6,14,19)(7,20,13)(8,15,21)(9,22,12) alpha_279 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_279 = (0,22,1,20,21,12,2,6,3,8,7,14,17,18,19,13,11,4,23,10,9,15,5)(16) Aut(G_279) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 280 sigma_280 = (0,17,2)(1,22,4)(3,18,5)(6,14,19)(7,20,13)(8,15,21)(9,16,11)(10,12,23) alpha_280 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_280 = (0,10,1,20,21,11,12,2,6,3,8,7,14,17,18,19,13,4,9,15,5)(16,22,23) Aut(G_280) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 281 sigma_281 = (0,17,2)(1,21,4)(3,18,5)(6,14,19)(7,20,13)(8,23,10)(9,12,22)(11,15,16) alpha_281 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_281 = (0,9,1,20,10,12,2,6,3,11,8,7,14,17,18,19,13,4,15,5)(16,21,22,23) Aut(G_281) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 282 sigma_282 = (0,17,2)(1,20,4)(3,18,5)(6,14,19)(7,23,10)(8,12,21)(9,13,22)(11,15,16) alpha_282 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_282 = (0,8,1,9,12,2,6,3,11,7,14,17,18,19,10,13,4,15,5)(16,20,21,22,23) Aut(G_282) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 283 sigma_283 = (0,20,13)(1,18,2)(3,17,12)(4,15,22)(5,19,6)(7,14,21)(8,16,11)(9,23,10) alpha_283 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_283 = (0,17,6,1,20,11,9,14,18,19,21,10,15,12,13,2,7,5,3,4,8)(16,22,23) Aut(G_283) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 284 sigma_284 = (0,20,13)(1,18,2)(3,17,12)(4,10,23)(5,19,6)(7,22,15)(8,21,14)(9,16,11) alpha_284 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_284 = (0,17,6,1,20,14,18,19,15,12,13,2,21,11,10,7,5,3,22,4,9,8)(16,23) Aut(G_284) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 285 sigma_285 = (0,20,13)(1,18,2)(3,17,12)(4,23,16)(5,19,6)(7,22,15)(8,21,14)(9,11,10) alpha_285 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_285 = (0,17,6,1,20,14,18,19,15,12,13,2,21,10,7,5,3,22,11,4,23,9,8)(16) Aut(G_285) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 286 sigma_286 = (0,11,10)(1,18,2)(3,17,12)(4,23,16)(5,19,6)(7,14,20)(8,21,15)(9,13,22) alpha_286 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_286 = (0,17,6,1,9,8,14,18,19,20,15,12,10,13,2,7,5,3,21,22,11,4,23)(16) Aut(G_286) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 287 sigma_287 = (0,16,11)(1,18,2)(3,17,12)(4,10,23)(5,19,6)(7,14,20)(8,21,15)(9,13,22) alpha_287 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_287 = (0,17,6,1,9,8,14,18,19,20,15,12,11,10,13,2,7,5,3,21,22,4)(16,23) Aut(G_287) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 288 sigma_288 = (0,22,13)(1,18,2)(3,17,12)(4,23,16)(5,19,6)(7,14,20)(8,21,15)(9,10,11) alpha_288 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_288 = (0,17,6,1,22,9,8,14,18,19,20,15,12,13,2,7,5,3,21,11,4,23,10)(16) Aut(G_288) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 289 sigma_289 = (0,11,10)(1,18,2)(3,17,12)(4,23,16)(5,19,6)(7,20,15)(8,9,22)(13,21,14) alpha_289 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_289 = (0,17,6,1,14,18,19,15,12,10,9,13,2,21,8,7,5,3,20,22,11,4,23)(16) Aut(G_289) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 290 sigma_290 = (0,16,11)(1,18,2)(3,17,12)(4,10,23)(5,19,6)(7,20,15)(8,9,22)(13,21,14) alpha_290 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_290 = (0,17,6,1,14,18,19,15,12,11,10,9,13,2,21,8,7,5,3,20,22,4)(16,23) Aut(G_290) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 291 sigma_291 = (0,16,11)(1,18,2)(3,17,12)(4,8,22)(5,19,6)(7,20,15)(9,23,10)(13,21,14) alpha_291 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_291 = (0,17,6,1,14,18,19,15,12,11,9,13,2,21,10,8,7,5,3,20,4)(16,22,23) Aut(G_291) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 292 sigma_292 = (0,22,9)(1,18,2)(3,17,12)(4,15,23)(5,19,6)(7,8,21)(10,16,11)(13,20,14) alpha_292 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_292 = (0,17,6,1,14,18,19,21,22,11,15,12,9,8,13,2,20,7,5,3,4,10)(16,23) Aut(G_292) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 293 sigma_293 = (0,22,9)(1,18,2)(3,17,12)(4,23,16)(5,19,6)(7,8,21)(10,11,15)(13,20,14) alpha_293 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_293 = (0,17,6,1,14,18,19,21,22,15,12,9,8,13,2,20,7,5,3,11,4,23,10)(16) Aut(G_293) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 294 sigma_294 = (0,16,11)(1,18,2)(3,17,12)(4,15,22)(5,19,6)(7,8,21)(9,23,10)(13,20,14) alpha_294 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_294 = (0,17,6,1,14,18,19,21,10,15,12,11,9,8,13,2,20,7,5,3,4)(16,22,23) Aut(G_294) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 295 sigma_295 = (0,16,11)(1,18,2)(3,17,12)(4,15,21)(5,19,6)(7,22,9)(8,23,10)(13,20,14) alpha_295 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_295 = (0,17,6,1,14,18,19,9,15,12,11,8,13,2,20,10,7,5,3,4)(16,21,22,23) Aut(G_295) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 296 sigma_296 = (0,16,11)(1,18,2)(3,17,12)(4,9,22)(5,20,7)(6,19,15)(8,14,21)(10,13,23) alpha_296 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_296 = (0,17,7,6,1,10,9,14,18,15,12,11,13,2,8,5,3,19,20,21,4)(16,22,23) Aut(G_296) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 297 sigma_297 = (0,22,13)(1,18,2)(3,17,12)(4,23,16)(5,20,7)(6,19,15)(8,14,21)(9,10,11) alpha_297 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_297 = (0,17,7,6,1,22,9,14,18,15,12,13,2,8,5,3,19,20,21,11,4,23,10)(16) Aut(G_297) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 298 sigma_298 = (0,11,10)(1,18,2)(3,17,12)(4,23,16)(5,20,7)(6,19,15)(8,9,22)(13,21,14) alpha_298 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_298 = (0,17,7,6,1,14,18,15,12,10,9,13,2,21,8,5,3,19,20,22,11,4,23)(16) Aut(G_298) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 299 sigma_299 = (0,16,11)(1,18,2)(3,17,12)(4,10,23)(5,20,7)(6,19,15)(8,9,22)(13,21,14) alpha_299 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_299 = (0,17,7,6,1,14,18,15,12,11,10,9,13,2,21,8,5,3,19,20,22,4)(16,23) Aut(G_299) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 300 sigma_300 = (0,16,11)(1,18,2)(3,17,12)(4,8,22)(5,20,7)(6,19,15)(9,23,10)(13,21,14) alpha_300 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_300 = (0,17,7,6,1,14,18,15,12,11,9,13,2,21,10,8,5,3,19,20,4)(16,22,23) Aut(G_300) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 301 sigma_301 = (0,16,11)(1,18,2)(3,17,12)(4,7,21)(5,22,9)(6,19,15)(8,23,10)(13,20,14) alpha_301 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_301 = (0,17,9,7,6,1,14,18,15,12,11,8,13,2,20,10,5,3,19,4)(16,21,22,23) Aut(G_301) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 302 sigma_302 = (0,20,7)(1,8,21)(2,9,22)(3,17,12)(4,23,16)(5,6,19)(10,11,15)(13,18,14) alpha_302 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_302 = (0,17,19,20,1,14,22,15,12,7,6,13,21,2,18,5,3,11,4,23,10,9,8)(16) Aut(G_302) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 303 sigma_303 = (0,20,7)(1,8,21)(2,22,15)(3,17,12)(4,10,23)(5,6,19)(9,16,11)(13,18,14) alpha_303 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_303 = (0,17,19,20,1,14,15,12,7,6,13,21,11,10,2,18,5,3,22,4,9,8)(16,23) Aut(G_303) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 304 sigma_304 = (0,20,7)(1,8,21)(2,22,15)(3,17,12)(4,23,16)(5,6,19)(9,11,10)(13,18,14) alpha_304 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_304 = (0,17,19,20,1,14,15,12,7,6,13,21,10,2,18,5,3,22,11,4,23,9,8)(16) Aut(G_304) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 305 sigma_305 = (0,20,7)(1,21,2)(3,17,12)(4,23,16)(5,6,19)(8,22,9)(10,11,15)(13,18,14) alpha_305 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_305 = (0,17,19,20,9,1,14,21,22,15,12,7,6,13,2,18,5,3,11,4,23,10,8)(16) Aut(G_305) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 306 sigma_306 = (0,20,7)(1,21,2)(3,17,12)(4,15,22)(5,6,19)(8,16,11)(9,23,10)(13,18,14) alpha_306 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_306 = (0,17,19,20,11,9,1,14,21,10,15,12,7,6,13,2,18,5,3,4,8)(16,22,23) Aut(G_306) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 307 sigma_307 = (0,22,9)(1,7,20)(2,8,21)(3,17,12)(4,23,16)(5,6,19)(10,11,15)(13,18,14) alpha_307 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_307 = (0,17,19,1,14,21,22,15,12,9,8,7,6,13,20,2,18,5,3,11,4,23,10)(16) Aut(G_307) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 308 sigma_308 = (0,11,10)(1,7,20)(2,8,21)(3,17,12)(4,23,16)(5,6,19)(9,22,15)(13,18,14) alpha_308 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_308 = (0,17,19,1,14,21,15,12,10,9,8,7,6,13,20,2,18,5,3,22,11,4,23)(16) Aut(G_308) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 309 sigma_309 = (0,16,11)(1,7,20)(2,8,21)(3,17,12)(4,10,23)(5,6,19)(9,22,15)(13,18,14) alpha_309 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_309 = (0,17,19,1,14,21,15,12,11,10,9,8,7,6,13,20,2,18,5,3,22,4)(16,23) Aut(G_309) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 310 sigma_310 = (0,16,11)(1,7,20)(2,8,21)(3,17,12)(4,15,22)(5,6,19)(9,23,10)(13,18,14) alpha_310 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_310 = (0,17,19,1,14,21,10,15,12,11,9,8,7,6,13,20,2,18,5,3,4)(16,22,23) Aut(G_310) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 311 sigma_311 = (0,16,11)(1,7,20)(2,22,9)(3,17,12)(4,15,21)(5,6,19)(8,23,10)(13,18,14) alpha_311 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_311 = (0,17,19,1,14,9,15,12,11,8,7,6,13,20,10,2,18,5,3,4)(16,21,22,23) Aut(G_311) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 312 sigma_312 = (0,22,9)(1,20,2)(3,17,12)(4,15,23)(5,6,19)(7,21,8)(10,16,11)(13,18,14) alpha_312 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_312 = (0,17,19,8,1,14,20,21,22,11,15,12,9,7,6,13,2,18,5,3,4,10)(16,23) Aut(G_312) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 313 sigma_313 = (0,22,9)(1,20,2)(3,17,12)(4,23,16)(5,6,19)(7,21,8)(10,11,15)(13,18,14) alpha_313 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_313 = (0,17,19,8,1,14,20,21,22,15,12,9,7,6,13,2,18,5,3,11,4,23,10)(16) Aut(G_313) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 314 sigma_314 = (0,16,11)(1,20,2)(3,17,12)(4,15,22)(5,6,19)(7,21,8)(9,23,10)(13,18,14) alpha_314 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_314 = (0,17,19,8,1,14,20,21,10,15,12,11,9,7,6,13,2,18,5,3,4)(16,22,23) Aut(G_314) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 315 sigma_315 = (0,11,10)(1,20,2)(3,17,12)(4,23,16)(5,6,19)(7,22,9)(8,21,15)(13,18,14) alpha_315 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_315 = (0,17,19,9,8,1,14,20,15,12,10,7,6,13,2,18,5,3,21,22,11,4,23)(16) Aut(G_315) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 316 sigma_316 = (0,16,11)(1,20,2)(3,17,12)(4,10,23)(5,6,19)(7,22,9)(8,21,15)(13,18,14) alpha_316 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_316 = (0,17,19,9,8,1,14,20,15,12,11,10,7,6,13,2,18,5,3,21,22,4)(16,23) Aut(G_316) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 317 sigma_317 = (0,22,7)(1,20,2)(3,17,12)(4,23,16)(5,6,19)(8,21,15)(9,10,11)(13,18,14) alpha_317 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_317 = (0,17,19,22,9,8,1,14,20,15,12,7,6,13,2,18,5,3,21,11,4,23,10)(16) Aut(G_317) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 318 sigma_318 = (0,11,10)(1,7,21)(2,20,15)(3,17,12)(4,23,16)(5,6,19)(8,9,22)(13,18,14) alpha_318 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_318 = (0,17,19,1,14,15,12,10,9,7,6,13,21,8,2,18,5,3,20,22,11,4,23)(16) Aut(G_318) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 319 sigma_319 = (0,16,11)(1,7,21)(2,20,15)(3,17,12)(4,10,23)(5,6,19)(8,9,22)(13,18,14) alpha_319 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_319 = (0,17,19,1,14,15,12,11,10,9,7,6,13,21,8,2,18,5,3,20,22,4)(16,23) Aut(G_319) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 320 sigma_320 = (0,16,11)(1,7,21)(2,20,15)(3,17,12)(4,8,22)(5,6,19)(9,23,10)(13,18,14) alpha_320 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_320 = (0,17,19,1,14,15,12,11,9,7,6,13,21,10,8,2,18,5,3,20,4)(16,22,23) Aut(G_320) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 321 sigma_321 = (0,16,11)(1,22,9)(2,21,8)(3,17,12)(4,15,20)(5,6,19)(7,23,10)(13,18,14) alpha_321 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_321 = (0,17,19,10,1,14,8,15,12,11,7,6,13,9,2,18,5,3,4)(16,20,21,22,23) Aut(G_321) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 322 sigma_322 = (0,22,9)(1,12,18)(2,8,21)(3,14,17)(4,23,16)(5,19,6)(7,13,20)(10,11,15) alpha_322 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_322 = (0,1,7,5,14,21,22,15,17,6,12,9,8,13,18,19,20,2,3,11,4,23,10)(16) Aut(G_322) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 323 sigma_323 = (0,11,10)(1,12,18)(2,8,21)(3,14,17)(4,23,16)(5,19,6)(7,13,20)(9,22,15) alpha_323 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_323 = (0,1,7,5,14,21,15,17,6,12,10,9,8,13,18,19,20,2,3,22,11,4,23)(16) Aut(G_323) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 324 sigma_324 = (0,16,11)(1,12,18)(2,8,21)(3,14,17)(4,10,23)(5,19,6)(7,13,20)(9,22,15) alpha_324 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_324 = (0,1,7,5,14,21,15,17,6,12,11,10,9,8,13,18,19,20,2,3,22,4)(16,23) Aut(G_324) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 325 sigma_325 = (0,16,11)(1,12,18)(2,8,21)(3,14,17)(4,15,22)(5,19,6)(7,13,20)(9,23,10) alpha_325 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_325 = (0,1,7,5,14,21,10,15,17,6,12,11,9,8,13,18,19,20,2,3,4)(16,22,23) Aut(G_325) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 326 sigma_326 = (0,11,10)(1,12,18)(2,21,15)(3,14,17)(4,23,16)(5,19,6)(7,13,20)(8,22,9) alpha_326 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_326 = (0,1,7,5,14,15,17,6,12,10,8,13,18,19,20,9,2,3,21,22,11,4,23)(16) Aut(G_326) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 327 sigma_327 = (0,16,11)(1,12,18)(2,21,15)(3,14,17)(4,10,23)(5,19,6)(7,13,20)(8,22,9) alpha_327 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_327 = (0,1,7,5,14,15,17,6,12,11,10,8,13,18,19,20,9,2,3,21,22,4)(16,23) Aut(G_327) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 328 sigma_328 = (0,16,11)(1,12,18)(2,22,9)(3,14,17)(4,15,21)(5,19,6)(7,13,20)(8,23,10) alpha_328 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_328 = (0,1,7,5,14,9,15,17,6,12,11,8,13,18,19,20,10,2,3,4)(16,21,22,23) Aut(G_328) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 329 sigma_329 = (0,11,10)(1,12,18)(2,7,20)(3,14,17)(4,23,16)(5,19,6)(8,21,15)(9,13,22) alpha_329 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_329 = (0,1,9,8,7,5,14,20,15,17,6,12,10,13,18,19,2,3,21,22,11,4,23)(16) Aut(G_329) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 330 sigma_330 = (0,16,11)(1,12,18)(2,7,20)(3,14,17)(4,10,23)(5,19,6)(8,21,15)(9,13,22) alpha_330 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_330 = (0,1,9,8,7,5,14,20,15,17,6,12,11,10,13,18,19,2,3,21,22,4)(16,23) Aut(G_330) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 331 sigma_331 = (0,22,13)(1,12,18)(2,7,20)(3,14,17)(4,23,16)(5,19,6)(8,21,15)(9,10,11) alpha_331 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_331 = (0,1,22,9,8,7,5,14,20,15,17,6,12,13,18,19,2,3,21,11,4,23,10)(16) Aut(G_331) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 332 sigma_332 = (0,21,13)(1,12,18)(2,7,20)(3,14,17)(4,23,16)(5,19,6)(8,9,22)(10,11,15) alpha_332 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_332 = (0,1,21,8,7,5,14,20,22,15,17,6,12,13,18,19,2,3,11,4,23,10,9)(16) Aut(G_332) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 333 sigma_333 = (0,22,13)(1,12,18)(2,20,15)(3,14,17)(4,23,16)(5,19,6)(7,21,8)(9,10,11) alpha_333 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_333 = (0,1,22,9,7,5,14,15,17,6,12,13,18,19,8,2,3,20,21,11,4,23,10)(16) Aut(G_333) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 334 sigma_334 = (0,20,13)(1,12,18)(2,9,22)(3,14,17)(4,15,23)(5,19,6)(7,8,21)(10,16,11) alpha_334 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_334 = (0,1,20,7,5,14,22,11,15,17,6,12,13,18,19,21,2,3,4,10,9,8)(16,23) Aut(G_334) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 335 sigma_335 = (0,20,13)(1,12,18)(2,9,22)(3,14,17)(4,23,16)(5,19,6)(7,8,21)(10,11,15) alpha_335 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_335 = (0,1,20,7,5,14,22,15,17,6,12,13,18,19,21,2,3,11,4,23,10,9,8)(16) Aut(G_335) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 336 sigma_336 = (0,20,13)(1,12,18)(2,22,15)(3,14,17)(4,10,23)(5,19,6)(7,8,21)(9,16,11) alpha_336 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_336 = (0,1,20,7,5,14,15,17,6,12,13,18,19,21,11,10,2,3,22,4,9,8)(16,23) Aut(G_336) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 337 sigma_337 = (0,20,13)(1,12,18)(2,22,15)(3,14,17)(4,23,16)(5,19,6)(7,8,21)(9,11,10) alpha_337 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_337 = (0,1,20,7,5,14,15,17,6,12,13,18,19,21,10,2,3,22,11,4,23,9,8)(16) Aut(G_337) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 338 sigma_338 = (0,20,13)(1,12,17)(2,18,15)(3,22,7)(4,10,23)(5,19,6)(8,21,14)(9,16,11) alpha_338 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_338 = (0,1,20,14,15,7,5,12,13,17,6,2,21,11,10,3,18,19,22,4,9,8)(16,23) Aut(G_338) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 339 sigma_339 = (0,20,13)(1,12,17)(2,18,15)(3,22,7)(4,23,16)(5,19,6)(8,21,14)(9,11,10) alpha_339 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_339 = (0,1,20,14,15,7,5,12,13,17,6,2,21,10,3,18,19,22,11,4,23,9,8)(16) Aut(G_339) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 340 sigma_340 = (0,16,11)(1,12,17)(2,18,15)(3,22,9)(4,7,21)(5,19,6)(8,23,10)(13,20,14) alpha_340 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_340 = (0,1,14,15,9,7,5,12,11,8,13,17,6,2,20,10,3,18,19,4)(16,21,22,23) Aut(G_340) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 341 sigma_341 = (0,16,11)(1,12,17)(2,18,15)(3,8,21)(4,7,22)(5,19,6)(9,23,10)(13,20,14) alpha_341 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_341 = (0,1,14,15,21,10,7,5,12,11,9,8,13,17,6,2,20,3,18,19,4)(16,22,23) Aut(G_341) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 342 sigma_342 = (0,22,9)(1,12,17)(2,18,15)(3,8,21)(4,23,16)(5,19,6)(7,10,11)(13,20,14) alpha_342 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_342 = (0,1,14,15,21,22,7,5,12,9,8,13,17,6,2,20,3,18,19,11,4,23,10)(16) Aut(G_342) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 343 sigma_343 = (0,22,13)(1,12,17)(2,18,15)(3,14,20)(4,23,16)(5,19,6)(7,8,21)(9,10,11) alpha_343 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_343 = (0,1,22,9,8,14,15,20,7,5,12,13,17,6,2,3,18,19,21,11,4,23,10)(16) Aut(G_343) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 344 sigma_344 = (0,21,13)(1,12,17)(2,18,15)(3,14,20)(4,7,23)(5,19,6)(8,9,22)(10,16,11) alpha_344 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_344 = (0,1,21,8,14,15,20,22,11,7,5,12,13,17,6,2,3,18,19,4,10,9)(16,23) Aut(G_344) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 345 sigma_345 = (0,21,13)(1,12,17)(2,18,15)(3,14,20)(4,23,16)(5,19,6)(7,10,11)(8,9,22) alpha_345 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_345 = (0,1,21,8,14,15,20,22,7,5,12,13,17,6,2,3,18,19,11,4,23,10,9)(16) Aut(G_345) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 346 sigma_346 = (0,20,13)(1,12,17)(2,18,15)(3,14,19)(4,6,21)(5,22,9)(7,23,10)(8,16,11) alpha_346 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_346 = (0,1,20,11,7,14,15,19,10,5,12,13,17,9,6,2,3,18,4,8)(16,21,22,23) Aut(G_346) = C4 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 347 sigma_347 = (0,17,13)(1,8,21)(2,9,22)(3,14,18)(4,23,16)(5,19,6)(7,20,12)(10,11,15) alpha_347 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_347 = (0,20,1,17,6,14,22,15,18,19,12,13,21,2,3,11,4,23,10,9,8,7,5)(16) Aut(G_347) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 348 sigma_348 = (0,17,13)(1,8,21)(2,22,15)(3,14,18)(4,10,23)(5,19,6)(7,20,12)(9,16,11) alpha_348 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_348 = (0,20,1,17,6,14,15,18,19,12,13,21,11,10,2,3,22,4,9,8,7,5)(16,23) Aut(G_348) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 349 sigma_349 = (0,17,13)(1,8,21)(2,22,15)(3,14,18)(4,23,16)(5,19,6)(7,20,12)(9,11,10) alpha_349 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_349 = (0,20,1,17,6,14,15,18,19,12,13,21,10,2,3,22,11,4,23,9,8,7,5)(16) Aut(G_349) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 350 sigma_350 = (0,17,13)(1,12,20)(2,9,22)(3,14,18)(4,15,23)(5,19,6)(7,21,8)(10,16,11) alpha_350 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_350 = (0,1,17,6,14,22,11,15,18,19,8,12,13,20,21,2,3,4,10,9,7,5)(16,23) Aut(G_350) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 351 sigma_351 = (0,17,13)(1,12,20)(2,9,22)(3,14,18)(4,23,16)(5,19,6)(7,21,8)(10,11,15) alpha_351 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_351 = (0,1,17,6,14,22,15,18,19,8,12,13,20,21,2,3,11,4,23,10,9,7,5)(16) Aut(G_351) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 352 sigma_352 = (0,17,13)(1,12,20)(2,22,15)(3,14,18)(4,10,23)(5,19,6)(7,21,8)(9,16,11) alpha_352 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_352 = (0,1,17,6,14,15,18,19,8,12,13,20,21,11,10,2,3,22,4,9,7,5)(16,23) Aut(G_352) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 353 sigma_353 = (0,17,13)(1,12,20)(2,22,15)(3,14,18)(4,23,16)(5,19,6)(7,21,8)(9,11,10) alpha_353 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_353 = (0,1,17,6,14,15,18,19,8,12,13,20,21,10,2,3,22,11,4,23,9,7,5)(16) Aut(G_353) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 354 sigma_354 = (0,17,13)(1,12,20)(2,22,9)(3,14,18)(4,15,21)(5,19,6)(7,16,11)(8,23,10) alpha_354 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_354 = (0,1,17,6,14,9,15,18,19,11,8,12,13,20,10,2,3,4,7,5)(16,21,22,23) Aut(G_354) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 1 1 1] [0 0 0 0 1 0 0 0 0 1 1 1] -------------------------------------------------------------------------------- ribbon graph 355 sigma_355 = (0,17,13)(1,20,2)(3,14,18)(4,10,23)(5,19,6)(7,16,11)(8,21,15)(9,12,22) alpha_355 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_355 = (0,9,8,1,17,6,14,20,15,18,19,11,10,12,13,2,3,21,22,4,7,5)(16,23) Aut(G_355) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 1] [0 0 0 0 1 0 0 0 0 0 0 1] -------------------------------------------------------------------------------- ribbon graph 356 sigma_356 = (0,17,13)(1,20,2)(3,14,18)(4,23,16)(5,19,6)(7,11,10)(8,21,15)(9,12,22) alpha_356 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_356 = (0,9,8,1,17,6,14,20,15,18,19,10,12,13,2,3,21,22,11,4,23,7,5)(16) Aut(G_356) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 357 sigma_357 = (0,17,13)(1,20,2)(3,14,18)(4,23,16)(5,19,6)(7,22,12)(8,21,15)(9,10,11) alpha_357 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_357 = (0,22,9,8,1,17,6,14,20,15,18,19,12,13,2,3,21,11,4,23,10,7,5)(16) Aut(G_357) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 358 sigma_358 = (0,17,13)(1,20,2)(3,14,18)(4,23,16)(5,19,6)(7,21,12)(8,9,22)(10,11,15) alpha_358 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_358 = (0,21,8,1,17,6,14,20,22,15,18,19,12,13,2,3,11,4,23,10,9,7,5)(16) Aut(G_358) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 2 2] [0 0 0 0 1 0 0 0 0 0 0 0] -------------------------------------------------------------------------------- ribbon graph 359 sigma_359 = (0,17,13)(1,12,21)(2,20,15)(3,14,18)(4,8,22)(5,19,6)(7,16,11)(9,23,10) alpha_359 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_359 = (0,1,17,6,14,15,18,19,11,9,12,13,21,10,8,2,3,20,4,7,5)(16,22,23) Aut(G_359) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 2 2 1 1] [0 0 0 0 1 0 0 0 0 0 1 1] -------------------------------------------------------------------------------- ribbon graph 360 sigma_360 = (0,17,13)(1,21,8)(2,20,7)(3,14,18)(4,15,19)(5,16,11)(6,23,10)(9,12,22) alpha_360 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_360 = (0,9,1,17,11,6,14,7,15,18,10,12,13,8,2,3,4,5)(16,19,20,21,22,23) Aut(G_360) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 361 sigma_361 = (0,16,11)(1,18,2)(3,22,9)(4,15,19)(5,23,10)(6,20,7)(8,12,21)(13,17,14) alpha_361 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_361 = (0,8,6,1,14,18,7,15,9,12,11,5,13,2,17,10,3,4)(16,19,20,21,22,23) Aut(G_361) = C2 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 362 sigma_362 = (0,16,11)(1,20,7)(2,19,6)(3,22,9)(4,15,18)(5,23,10)(8,12,21)(13,17,14) alpha_362 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_362 = (0,8,1,14,6,15,9,12,11,5,13,7,2,17,10,3,4)(16,18,19,20,21,22,23) Aut(G_362) = 1 edge-face adjacency matrix [2 2 2 2 1 2 1 1 1 1 1 1] [0 0 0 0 1 0 1 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 363 sigma_363 = (0,18,13)(1,17,2)(3,14,19)(4,15,20)(5,21,8)(6,16,11)(7,23,10)(9,12,22) alpha_363 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_363 = (0,9,5,1,18,11,7,14,17,8,15,19,10,12,13,2,3,4,6)(16,20,21,22,23) Aut(G_363) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 364 sigma_364 = (0,16,11)(1,17,2)(3,22,9)(4,6,20)(5,18,15)(7,23,10)(8,12,21)(13,19,14) alpha_364 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_364 = (0,8,6,5,1,14,17,15,9,12,11,7,13,2,19,10,3,18,4)(16,20,21,22,23) Aut(G_364) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 365 sigma_365 = (0,18,13)(1,21,8)(2,17,15)(3,14,19)(4,5,20)(6,16,11)(7,23,10)(9,12,22) alpha_365 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_365 = (0,9,1,18,11,7,14,15,19,10,12,13,8,5,2,3,17,4,6)(16,20,21,22,23) Aut(G_365) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 2 1 1 1 1] [0 0 0 0 1 0 0 0 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 366 sigma_366 = (0,16,11)(1,20,7)(2,17,15)(3,22,9)(4,5,19)(6,23,10)(8,12,21)(13,18,14) alpha_366 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_366 = (0,8,1,14,15,9,12,11,6,13,7,5,2,18,10,3,17,4)(16,19,20,21,22,23) Aut(G_366) = 1 edge-face adjacency matrix [2 2 2 2 1 2 2 1 1 1 1 1] [0 0 0 0 1 0 0 1 1 1 1 1] -------------------------------------------------------------------------------- ribbon graph 367 sigma_367 = (0,16,11)(1,19,6)(2,18,5)(3,21,8)(4,15,17)(7,12,20)(9,14,22)(10,13,23) alpha_367 = (0,12)(1,13)(2,14)(3,15)(4,16)(5,17)(6,18)(7,19)(8,20)(9,21)(10,22)(11,23) phi_367 = (0,7,1,10,14,5,15,8,12,11,13,6,2,9,3,4)(16,17,18,19,20,21,22,23) Aut(G_367) = C8 edge-face adjacency matrix [2 2 2 2 1 1 1 1 1 1 1 1] [0 0 0 0 1 1 1 1 1 1 1 1] --------------------------------------------------------------------------------