_application topaz _version 2.3 _type SimplicialComplex FACETS {0 1 2 3 5} {0 1 2 3 9} {0 1 2 5 14} {0 1 2 8 14} {0 1 2 8 16} {0 1 2 9 13} {0 1 2 13 16} {0 1 3 4 12} {0 1 3 4 14} {0 1 3 5 11} {0 1 3 9 12} {0 1 3 11 14} {0 1 4 10 12} {0 1 4 10 15} {0 1 4 14 15} {0 1 5 11 14} {0 1 7 9 10} {0 1 7 9 13} {0 1 7 10 15} {0 1 7 13 16} {0 1 7 15 16} {0 1 8 14 16} {0 1 9 10 12} {0 1 14 15 16} {0 2 3 5 6} {0 2 3 6 15} {0 2 3 9 15} {0 2 4 6 8} {0 2 4 6 15} {0 2 4 8 11} {0 2 4 9 11} {0 2 4 9 15} {0 2 5 6 8} {0 2 5 8 14} {0 2 8 11 12} {0 2 8 12 16} {0 2 9 11 13} {0 2 11 12 13} {0 2 12 13 16} {0 3 4 12 13} {0 3 4 13 14} {0 3 5 6 10} {0 3 5 10 11} {0 3 6 10 13} {0 3 6 13 15} {0 3 9 12 15} {0 3 10 11 13} {0 3 11 13 14} {0 3 12 13 15} {0 4 6 8 10} {0 4 6 10 15} {0 4 8 10 12} {0 4 8 11 13} {0 4 8 12 13} {0 4 9 11 14} {0 4 9 14 15} {0 4 11 13 14} {0 5 6 8 14} {0 5 6 9 10} {0 5 6 9 14} {0 5 7 9 10} {0 5 7 9 11} {0 5 7 10 11} {0 5 9 11 14} {0 6 8 10 12} {0 6 8 12 16} {0 6 8 14 16} {0 6 9 10 12} {0 6 9 12 16} {0 6 9 14 16} {0 6 10 11 13} {0 6 10 11 15} {0 6 11 13 15} {0 7 9 11 13} {0 7 10 11 15} {0 7 11 13 15} {0 7 13 15 16} {0 8 11 12 13} {0 9 12 15 16} {0 9 14 15 16} {0 12 13 15 16} {1 2 3 5 9} {1 2 4 8 11} {1 2 4 8 13} {1 2 4 11 12} {1 2 4 12 16} {1 2 4 13 16} {1 2 5 9 13} {1 2 5 13 14} {1 2 8 10 13} {1 2 8 10 14} {1 2 8 11 12} {1 2 8 12 16} {1 2 10 13 14} {1 3 4 7 14} {1 3 4 7 16} {1 3 4 12 16} {1 3 5 8 9} {1 3 5 8 15} {1 3 5 10 11} {1 3 5 10 15} {1 3 7 10 14} {1 3 7 10 15} {1 3 7 15 16} {1 3 8 9 12} {1 3 8 12 16} {1 3 8 15 16} {1 3 10 11 14} {1 4 5 9 13} {1 4 5 9 15} {1 4 5 10 11} {1 4 5 10 15} {1 4 5 11 13} {1 4 7 9 13} {1 4 7 9 14} {1 4 7 13 16} {1 4 8 11 13} {1 4 9 14 15} {1 4 10 11 12} {1 5 8 9 15} {1 5 11 13 14} {1 7 9 10 14} {1 8 9 10 11} {1 8 9 10 14} {1 8 9 11 12} {1 8 9 14 15} {1 8 10 11 13} {1 8 14 15 16} {1 9 10 11 12} {1 10 11 13 14} {2 3 4 5 6} {2 3 4 5 7} {2 3 4 6 12} {2 3 4 7 16} {2 3 4 12 16} {2 3 5 7 9} {2 3 6 12 16} {2 3 6 13 14} {2 3 6 13 15} {2 3 6 14 16} {2 3 7 9 16} {2 3 9 14 15} {2 3 9 14 16} {2 3 13 14 15} {2 4 5 6 8} {2 4 5 7 10} {2 4 5 8 10} {2 4 6 9 11} {2 4 6 9 15} {2 4 6 11 12} {2 4 7 8 10} {2 4 7 8 13} {2 4 7 13 16} {2 5 7 9 10} {2 5 8 10 14} {2 5 9 10 12} {2 5 9 12 13} {2 5 10 12 15} {2 5 10 14 15} {2 5 12 13 15} {2 5 13 14 15} {2 6 9 11 15} {2 6 11 12 15} {2 6 12 13 15} {2 6 12 13 16} {2 6 13 14 16} {2 7 8 10 13} {2 7 9 10 14} {2 7 9 14 16} {2 7 10 13 14} {2 7 13 14 16} {2 9 10 11 12} {2 9 10 11 15} {2 9 10 14 15} {2 9 11 12 13} {2 10 11 12 15} {3 4 5 6 12} {3 4 5 7 14} {3 4 5 12 13} {3 4 5 13 14} {3 5 6 10 12} {3 5 7 8 9} {3 5 7 8 14} {3 5 8 14 15} {3 5 10 12 15} {3 5 12 13 15} {3 5 13 14 15} {3 6 8 10 12} {3 6 8 10 13} {3 6 8 12 16} {3 6 8 13 14} {3 6 8 14 16} {3 7 8 9 12} {3 7 8 10 12} {3 7 8 10 13} {3 7 8 13 14} {3 7 9 12 15} {3 7 9 15 16} {3 7 10 12 15} {3 7 10 13 14} {3 8 14 15 16} {3 9 14 15 16} {3 10 11 13 14} {4 5 6 8 9} {4 5 6 9 12} {4 5 7 10 11} {4 5 7 11 14} {4 5 8 9 15} {4 5 8 10 15} {4 5 9 12 13} {4 5 11 13 14} {4 6 7 9 12} {4 6 7 9 14} {4 6 7 11 12} {4 6 7 11 14} {4 6 8 9 15} {4 6 8 10 15} {4 6 9 11 14} {4 7 8 10 12} {4 7 8 12 13} {4 7 9 12 13} {4 7 10 11 12} {5 6 7 8 11} {5 6 7 8 14} {5 6 7 11 14} {5 6 8 9 11} {5 6 9 10 12} {5 6 9 11 14} {5 7 8 9 11} {5 8 10 14 15} {6 7 8 11 13} {6 7 8 13 14} {6 7 9 12 16} {6 7 9 14 16} {6 7 11 12 15} {6 7 11 13 15} {6 7 12 15 16} {6 7 13 14 16} {6 7 13 15 16} {6 8 9 11 15} {6 8 10 11 13} {6 8 10 11 15} {6 12 13 15 16} {7 8 9 11 13} {7 8 9 12 13} {7 9 12 15 16} {7 10 11 12 15} {8 9 10 11 15} {8 9 10 14 15} {8 9 11 12 13} PURE 1 DIM 4 COHOMOLOGY ({} 0) ({} 0) ({} 13) ({(2 1)} 0) ({} 1) COCYCLES (<> <> ) (<> <> ) (<(212) (0 -1) (5 1) (6 1) (7 1) (15 -1) (17 -1) (18 -1) (20 -1) (22 -1) (24 1) (26 -1) (27 -1) (29 -1) (33 -1) (34 -1) (35 -1) (39 1) (40 -1) (41 -1) (42 -1) (43 -1) (44 -1) (45 -1) (48 -1) (50 -1) (52 -1) (55 -1) (56 -1) (59 -1) (60 1) (61 1) (62 1) (63 1) (64 1) (65 1) (74 -1) (78 -1) (88 -1) (90 -1) (96 1) (97 1) (102 -1) (104 -1) (107 -1) (108 -1) (109 -1) (111 -1) (113 -1) (115 -1) (118 -1) (120 1) (121 1) (122 -1) (123 1) (130 1) (137 -1) (141 -1) (143 1) (151 1) (159 -1) (164 1) (172 -1) (174 -1) (180 -1) (185 1) (190 -1) (191 -1) (197 1) (199 1) (200 1) (202 1) (210 1) (211 1) (212) (1 2) (3 -1) (7 2) (9 -1) (10 -1) (11 -1) (12 1) (13 2) (16 2) (19 1) (20 -1) (21 -2) (22 -2) (24 2) (28 2) (30 -1) (32 1) (36 -1) (37 -1) (38 1) (39 -1) (44 2) (47 2) (49 2) (51 1) (53 2) (55 2) (57 -3) (58 -2) (59 -1) (60 -3) (63 2) (65 -2) (66 -2) (67 -1) (69 -1) (70 -1) (71 -1) (72 1) (73 1) (74 -1) (82 1) (93 -1) (94 -1) (99 -1) (100 -2) (101 -1) (102 -1) (103 -1) (104 -2) (107 -2) (114 1) (122 -1) (128 -1) (134 -1) (135 -1) (136 -1) (137 -1) (138 -1) (139 1) (140 -1) (141 -2) (142 1) (143 2) (144 1) (145 -1) (168 -1) (177 1) (178 1) (186 -1) (194 1) (198 -1) (200 -1) (204 -1) (205 1) (206 1) (207 1) (208 1) -3 -2 0 2 0 3 2 1 -1 1 1 2 0 -2 0 -4 -2 -2 -2 -2 -4 2 -2 0 2 -1 -4 -2 0 -4 1 1 0 -3 -4 -3 1 1 1 1 -2 -2 -2 -2 0 -2 0 0 -4 0 -4 0 -4 0 0 -2 -4 0 0 -4 2 2 2 2 2 2 -2 0 -1 1 1 1 1 1 -1 0 2 2 0 2 0 0 -2 -2 0 -2 0 -2 -2 0 -2 0 2 2 2 0 2 2 0 1 1 1 -1 2 -1 1 1 -1 -2 -2 1 -2 1 -2 1 -2 1 1 -2 0 3 3 -3 3 0 -1 0 0 1 0 2 0 -1 0 1 1 1 -1 1 1 2 -2 1 2 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -2 0 0 0 0 0 -2 0 0 0 -2 2 0 0 0 0 -2 -2 0 0 0 0 0 0 0 2 2 0 2 0 0 -2 0 -2 0 0 2 0 0 -1 -1 0 0 0 -1 -1 0 1 0 0 -1 -1 -1 0 -1 1 1 0 1 0 1 1 -1 0 1 1 0 0 1 0 -1 1 0 0 -1 0 -2 0 0 1 1 1 0 1 1 -1 0 -1 0 -1 0 -2 1 -1 0 3 3 1 2 -1 -1 -1 -1 1 1 1 0 -1 1 0 -1 -1 0 0 1 0 0 1 1 1 0 0 0 -1 -1 -1 -1 0 -1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 -1 1 -1 1 0 1 1 1 -1 -1 1 1 1 1 1 0 1 1 -2 0 1 -1 -1 -1 1 0 1 0 0 0 0 0 0 1 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 -1 0 0 0 1 -1 0 -1 -1 1 0 0 0 0 -1 0 1 0 (212) (0 -1) (1 -1) (5 1) (12 -1) (13 -1) (15 -1) (16 -1) (21 1) (26 -1) (27 -1) (28 -1) (29 -1) (32 -1) (33 -1) (34 -1) (35 -1) (38 -1) (39 1) (42 -1) (43 -1) (44 -1) (45 -1) (47 -1) (48 -1) (49 -1) (50 -1) (51 -1) (52 -1) (53 -1) (55 -1) (56 -1) (57 2) (58 1) (60 2) (62 1) (64 1) (65 1) (123 1) (139 -1) (160 1) (179 1) (186 1) (194 -1) (198 1) (200 1) (204 1) (208 -1) (209 1) (212) (0 -1) (2 -1) (3 -1) (5 1) (7 1) (8 1) (9 -1) (10 -1) (11 -1) (12 -1) (14 -1) (19 1) (20 1) (21 -1) (23 1) (25 1) (26 1) (30 -1) (31 -1) (32 -1) (35 -1) (36 -1) (37 -1) (38 -1) (39 1) (51 -1) (54 1) (57 1) (58 1) (59 1) (60 1) (68 1) (69 -1) (70 -1) (71 -1) (72 -1) (73 -1) (74 -1) (77 -1) (82 1) (86 -1) (92 -1) (93 -1) (94 -1) (95 1) (99 -1) (100 -1) (101 -1) (102 -1) (103 -1) (104 -1) (105 -1) (106 -1) (107 -1) (112 -1) (117 -1) (121 -1) (124 1) (125 1) (134 -1) (136 -1) (137 -1) (139 -1) (140 -1) (142 -1) (144 -1) (145 -1) (168 -1) (170 -1) (178 1) (181 1) (186 1) (188 1) (194 -1) (198 1) (200 1) (201 -1) (203 1) (205 1) (207 1) (208 -1) (212) (0 2) (5 -2) (6 -2) (7 -2) (9 1) (12 -1) (15 2) (17 2) (18 2) (20 2) (22 2) (24 -2) (26 2) (27 2) (29 2) (32 -1) (33 2) (34 2) (35 2) (38 -1) (39 -2) (40 2) (41 2) (42 2) (43 2) (44 1) (45 2) (47 -1) (48 2) (49 -1) (50 2) (51 -1) (52 2) (53 -1) (55 1) (56 2) (57 1) (58 1) (59 2) (60 -1) (61 -2) (62 -2) (63 -2) (64 -2) (65 -1) (66 1) (70 1) (74 2) (78 1) (83 1) (87 1) (88 1) (90 1) (96 -1) (97 -1) (102 2) (104 2) (107 2) (108 2) (109 2) (111 2) (113 2) (115 2) (118 3) (119 1) (120 -2) (121 -2) (122 2) (123 -2) (129 -1) (130 -2) (131 1) (133 1) (134 1) (137 2) (139 -1) (141 2) (143 -2) (145 1) (146 -1) (151 -2) (154 1) (155 1) (156 1) (157 1) (159 2) (164 -1) (172 1) (174 2) (178 -1) (180 2) (184 1) (185 -2) (186 1) (190 2) (191 2) (192 -1) (193 -1) (194 -1) (195 -1) (199 -2) (200 -2) (202 -2) (210 -1) (211 -1) -1 -1 0 1 0 1 1 0 0 1 1 1 0 -1 0 -1 -1 -1 -1 -1 -1 1 0 0 0 -1 -2 -1 -1 -2 1 1 0 -1 -1 -1 1 1 0 1 -1 -1 -1 -1 -1 -1 0 -1 -2 -1 -2 0 -1 -1 0 -2 -2 1 1 -1 2 1 1 0 1 2 0 0 -1 1 1 1 0 0 0 0 1 1 0 1 1 0 -1 -1 0 -1 0 -1 -1 0 -1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 -1 -1 0 -1 1 -1 0 -1 0 0 -1 0 1 1 -1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 -1 0 0 0 0 0 -1 0 0 0 -1 1 0 0 0 0 -1 -1 0 0 0 0 0 0 0 1 1 0 1 0 0 -1 0 -1 0 0 1 0 2 2 1 -1 1 -2 -1 0 0 -1 -1 -1 1 2 1 2 2 1 1 1 1 -1 0 -1 0 0 1 0 0 2 -1 0 1 1 2 2 0 -1 1 -2 1 1 0 0 0 0 -1 1 2 1 2 1 2 2 -1 3 3 -3 -3 1 -4 -1 0 0 0 -3 0 -1 0 0 -1 -1 1 1 1 -1 -2 -1 0 -2 -1 -1 1 1 -1 2 1 2 2 -1 3 1 -1 -1 -2 -1 -3 -2 1 -1 -1 -1 0 -1 0 0 0 0 1 1 -1 1 0 1 0 1 0 0 1 0 -2 -1 1 -1 -1 0 0 0 -2 0 -1 0 0 0 -1 -2 -1 0 -2 1 -1 0 2 0 2 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 1 0 1 1 1 -1 -1 0 -1 0 1 1 0 0 1 0 0 0 -1 -1 -2 1 -1 -1 0 1 1 1 1 1 -3 0 2 2 1 -1 0 -2 0 0 0 -1 -1 -1 1 2 1 2 2 0 0 1 1 -1 0 -1 0 0 1 0 0 2 -1 0 1 1 2 2 0 -1 1 -1 0 0 0 0 0 0 -1 1 2 1 2 1 2 2 -1 2 2 -3 -3 1 -3 0 0 0 0 -2 0 -1 0 0 -1 -1 1 1 1 0 -2 -1 0 -2 -1 -1 1 1 0 2 1 2 2 0 2 0 -1 -1 -1 -1 -2 -2 0 -1 -1 -1 -1 -1 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 -1 0 1 -1 -1 0 1 0 -2 0 -1 0 0 0 -1 -2 -1 -1 -2 1 -1 0 1 0 1 -1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 -1 0 0 0 1 0 0 0 1 -1 -1 0 -1 0 0 0 0 0 1 0 0 0 -1 0 -1 1 0 -1 0 1 0 1 1 0 -2 0 2 2 1 -1 0 -2 -1 0 0 -1 -1 -1 1 2 1 2 2 1 1 1 1 -1 0 -1 0 0 1 1 1 2 -1 0 1 1 2 2 0 -1 1 -2 1 1 0 1 1 0 -1 1 2 1 2 1 2 2 -1 3 2 -3 -3 1 -4 -1 -1 0 -1 -3 -1 -1 0 0 -1 -1 1 1 1 0 -2 -1 0 -2 -1 -1 1 1 0 2 1 2 2 0 2 0 -1 -1 -1 -1 -2 -2 0 -1 -1 -1 0 -1 0 0 0 0 1 1 -1 1 0 1 0 1 0 0 1 0 -2 -1 1 -1 -1 0 0 0 -2 0 -1 0 0 0 -1 -2 -1 0 -2 1 -1 0 1 0 1 -1 0 0 0 1 0 -1 0 1 0 0 0 0 0 1 1 0 -1 -1 0 1 1 0 0 0 0 0 1 -1 1 -1 -1 0 0 0 1 0 0 0 1 -2 -1 0 -1 0 1 1 0 0 1 0 0 0 -1 -1 -2 1 -1 -1 0 1 0 1 1 0 -2 -1 (212) (0 -1) (5 1) (7 1) (9 -1) (15 -1) (20 -1) (22 -1) (24 1) (26 -1) (27 -1) (29 -1) (33 -1) (34 -1) (35 -1) (39 1) (41 -1) (42 -1) (43 -1) (45 -1) (48 -1) (50 -1) (52 -1) (56 -1) (59 -1) (60 1) (61 1) (62 1) (63 1) (64 1) (66 -1) (70 -1) (74 -1) (104 -1) (107 -1) (109 -1) (115 -1) (118 -1) (119 -1) (122 -1) (123 1) (126 -1) (127 -1) (129 1) (130 1) (131 -1) (133 -1) (134 -1) (141 -1) (143 1) (145 -1) (154 -1) (157 -1) (158 1) (161 -1) (180 -1) (195 1) (196 1) (200 1) (202 1) (208 -1) (212) (0 -2) (1 -1) (2 -1) (5 2) (7 1) (12 -1) (13 -1) (14 -1) (15 -2) (20 -1) (22 -1) (23 1) (24 1) (26 -1) (27 -1) (29 -2) (32 -1) (33 -1) (34 -2) (35 -2) (38 -1) (39 1) (41 -1) (42 -1) (43 -1) (45 -1) (47 -1) (48 -2) (49 -1) (50 -2) (51 -1) (52 -2) (53 -1) (55 -1) (56 -2) (57 1) (58 1) (59 -1) (60 2) (61 1) (62 1) (63 1) (64 1) (65 1) (66 -1) (74 -1) (76 1) (79 1) (80 1) (85 -1) (86 -1) (87 -1) (88 -1) (90 -1) (95 1) (96 1) (97 1) (104 -1) (107 -1) (109 -1) (115 -1) (122 -1) (123 1) (124 1) (126 -1) (127 -1) (129 1) (130 1) (133 -1) (139 -1) (141 -1) (143 1) (158 1) (161 -1) (167 1) (180 -1) (186 1) (187 1) (188 1) (189 1) (194 -1) (200 1) (202 1) (208 -1) (210 1) > <{1 2 4} {1 2 11} {1 2 12} {1 3 10} {1 3 15} {1 4 8} {1 4 9} {1 4 11} {1 4 13} {1 5 8} {1 5 9} {1 5 10} {1 8 10} {1 8 11} {1 8 12} {1 8 13} {1 9 11} {1 9 14} {1 9 15} {1 10 11} {1 10 13} {1 11 12} {1 11 13} {1 12 16} {1 13 14} {2 3 4} {2 3 12} {2 3 13} {2 3 14} {2 3 16} {2 4 5} {2 4 7} {2 4 10} {2 4 12} {2 4 13} {2 4 16} {2 5 7} {2 5 9} {2 5 10} {2 5 15} {2 6 9} {2 6 11} {2 6 12} {2 6 13} {2 6 14} {2 6 16} {2 7 9} {2 7 10} {2 7 13} {2 7 14} {2 7 16} {2 8 10} {2 8 13} {2 9 10} {2 9 12} {2 9 14} {2 9 16} {2 10 11} {2 10 12} {2 10 13} {2 10 15} {2 11 15} {2 12 15} {2 13 14} {2 13 15} {2 14 15} {2 14 16} {3 4 5} {3 4 6} {3 5 7} {3 5 8} {3 5 9} {3 5 12} {3 5 13} {3 5 14} {3 5 15} {3 6 8} {3 6 12} {3 6 14} {3 6 16} {3 7 8} {3 7 9} {3 7 10} {3 7 13} {3 7 15} {3 8 10} {3 8 12} {3 8 13} {3 8 14} {3 8 15} {3 9 14} {3 9 16} {3 10 12} {3 10 14} {3 10 15} {3 12 16} {3 14 15} {3 14 16} {3 15 16} {4 5 6} {4 5 7} {4 5 8} {4 5 9} {4 5 10} {4 5 11} {4 5 12} {4 5 13} {4 5 14} {4 6 9} {4 6 11} {4 6 12} {4 6 14} {4 7 8} {4 7 9} {4 7 10} {4 7 11} {4 7 12} {4 7 13} {4 8 9} {4 8 15} {4 9 12} {4 9 13} {4 10 11} {4 11 12} {4 12 16} {4 13 16} {5 6 7} {5 6 11} {5 6 12} {5 7 8} {5 7 14} {5 8 9} {5 8 10} {5 8 11} {5 8 15} {5 9 12} {5 9 13} {5 9 15} {5 10 12} {5 10 14} {5 10 15} {5 11 13} {5 12 15} {5 13 14} {5 13 15} {5 14 15} {6 7 8} {6 7 9} {6 7 11} {6 7 12} {6 7 13} {6 7 14} {6 7 15} {6 7 16} {6 8 9} {6 8 11} {6 8 13} {6 8 15} {6 9 11} {6 9 15} {6 11 12} {6 11 14} {6 12 13} {6 12 15} {6 13 14} {6 13 16} {6 15 16} {7 8 9} {7 8 10} {7 8 11} {7 8 12} {7 8 13} {7 8 14} {7 9 12} {7 9 14} {7 9 15} {7 9 16} {7 10 12} {7 10 13} {7 11 12} {7 11 14} {7 12 13} {7 12 15} {7 12 16} {7 13 14} {7 14 16} {8 9 10} {8 9 11} {8 9 12} {8 9 13} {8 9 14} {8 9 15} {8 10 11} {8 10 13} {8 10 14} {8 10 15} {8 11 15} {8 13 14} {9 10 11} {9 10 14} {9 10 15} {9 11 12} {9 11 15} {9 12 13} {10 11 12} {10 11 14} {10 12 15} {10 13 14} {10 14 15} {11 12 15} {13 14 15} {13 14 16} > ) (<-1 -1 1 -1 -1 -1 -1 1 1 -1 1 1 > <{4 7 9 12} {6 7 9 12} {6 7 11 13} {6 7 13 15} {6 12 15 16} {6 13 15 16} {7 8 11 13} {7 9 12 13} {7 9 12 16} {7 12 15 16} {8 9 11 13} {8 9 12 13} > ) (<1 > <{8 9 11 12 13} > ) HOMOLOGY ({} 0) ({} 0) ({(2 1)} 13) ({} 0) ({} 1) CYCLES (<> <> ) (<> <> ) (<-1 1 -1 1 -1 0 0 -1 1 1 -2 1 1 0 1 0 -1 0 0 -1 1 0 -1 1 0 0 1 1 -1 0 1 0 -1 0 0 0 0 0 0 1 0 -1 1 0 0 0 -1 0 0 -1 1 0 0 -1 0 0 1 -1 0 0 0 1 0 0 0 1 -1 0 -1 (69) (14 -1) (15 1) (17 -1) (18 1) (22 -1) (40 1) (50 1) (54 -1) (69) (7 1) (8 -1) (10 1) (12 -1) (58 1) (59 -1) (63 1) (65 -1) (69) (0 1) (1 -1) (2 1) (3 -1) (4 1) (7 1) (8 -1) (9 -1) (10 2) (11 -1) (12 -1) (25 -1) (32 1) (39 -1) (41 1) (42 -1) (65 -1) (66 1) (68 1) (69) (0 1) (1 -1) (2 1) (3 -1) (4 1) (7 1) (8 -1) (9 -1) (10 2) (11 -1) (12 -1) (25 -1) (29 -1) (30 1) (31 -1) (39 -1) (41 1) (42 -1) (55 1) (58 1) (65 -1) (66 1) (68 1) (69) (5 -1) (6 1) (10 -1) (13 1) (14 -1) (16 1) (17 -1) (18 1) (23 -1) (41 1) (42 -1) (44 -1) (45 1) (48 1) (55 -1) (57 1) (60 1) (67 -1) (69) (14 1) (15 -1) (19 -1) (20 1) (40 -1) (62 1) (69) (7 1) (8 -1) (10 1) (12 -1) (17 -1) (18 1) (21 -1) (24 -1) (44 -1) (45 1) (51 1) (52 -1) (58 1) (64 1) (65 -1) (67 1) (69) (5 1) (6 -1) (10 1) (13 -1) (33 1) (35 -1) (36 1) (41 -1) (42 1) (45 -1) (60 -1) (67 1) (69) (5 1) (6 -1) (10 1) (13 -1) (14 1) (16 -1) (17 1) (18 -1) (23 1) (41 -1) (42 1) (43 1) (45 -1) (57 -1) (60 -1) (67 1) (69) (17 -1) (18 1) (21 -1) (24 -1) (34 1) (35 -1) (37 1) (38 -1) (39 1) (41 -1) (42 1) (49 1) (67 1) (68 -1) -1 1 -1 1 -1 0 0 -1 1 1 -2 1 1 0 1 0 -1 0 0 0 0 -1 0 1 -1 0 1 1 -1 1 0 1 0 0 1 -1 0 1 -1 2 0 -2 2 0 0 -1 0 0 0 0 0 0 0 -1 0 -1 1 -1 -1 0 0 1 0 0 0 1 -1 1 -2 (69) (14 -1) (15 1) (19 1) (20 -1) (40 1) (45 -1) (46 1) (54 -1) (69) (44 -1) (47 1) (52 -1) (59 1) > <{1 4 5} {1 4 9} {1 5 10} {1 9 11} {1 10 11} {2 7 10} {2 7 14} {2 9 10} {2 9 12} {2 10 11} {2 10 15} {2 11 15} {2 12 15} {2 14 15} {3 5 12} {3 5 13} {3 5 14} {3 6 8} {3 6 12} {3 7 12} {3 7 13} {3 8 10} {3 8 13} {3 8 14} {3 10 12} {4 5 12} {4 5 14} {4 6 7} {4 6 14} {4 7 8} {4 7 12} {4 8 9} {4 9 12} {5 6 7} {5 6 11} {5 6 12} {5 7 14} {5 8 10} {5 8 11} {5 10 14} {5 12 13} {5 12 15} {5 14 15} {6 7 8} {6 7 9} {6 7 12} {6 7 13} {6 7 15} {6 8 9} {6 8 11} {6 8 13} {6 8 15} {6 9 15} {6 11 14} {6 12 13} {7 8 9} {7 8 11} {7 8 14} {7 9 12} {7 9 15} {7 10 12} {7 11 14} {7 12 13} {7 12 15} {8 10 15} {9 10 15} {9 11 15} {10 12 15} {10 14 15} > ) (<> <> ) (<-1 1 -1 1 -1 1 1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 1 1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 -1 1 1 -1 -1 -1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 1 1 -1 1 -1 1 -1 1 > <{0 1 2 3 5} {0 1 2 3 9} {0 1 2 5 14} {0 1 2 8 14} {0 1 2 8 16} {0 1 2 9 13} {0 1 2 13 16} {0 1 3 4 12} {0 1 3 4 14} {0 1 3 5 11} {0 1 3 9 12} {0 1 3 11 14} {0 1 4 10 12} {0 1 4 10 15} {0 1 4 14 15} {0 1 5 11 14} {0 1 7 9 10} {0 1 7 9 13} {0 1 7 10 15} {0 1 7 13 16} {0 1 7 15 16} {0 1 8 14 16} {0 1 9 10 12} {0 1 14 15 16} {0 2 3 5 6} {0 2 3 6 15} {0 2 3 9 15} {0 2 4 6 8} {0 2 4 6 15} {0 2 4 8 11} {0 2 4 9 11} {0 2 4 9 15} {0 2 5 6 8} {0 2 5 8 14} {0 2 8 11 12} {0 2 8 12 16} {0 2 9 11 13} {0 2 11 12 13} {0 2 12 13 16} {0 3 4 12 13} {0 3 4 13 14} {0 3 5 6 10} {0 3 5 10 11} {0 3 6 10 13} {0 3 6 13 15} {0 3 9 12 15} {0 3 10 11 13} {0 3 11 13 14} {0 3 12 13 15} {0 4 6 8 10} {0 4 6 10 15} {0 4 8 10 12} {0 4 8 11 13} {0 4 8 12 13} {0 4 9 11 14} {0 4 9 14 15} {0 4 11 13 14} {0 5 6 8 14} {0 5 6 9 10} {0 5 6 9 14} {0 5 7 9 10} {0 5 7 9 11} {0 5 7 10 11} {0 5 9 11 14} {0 6 8 10 12} {0 6 8 12 16} {0 6 8 14 16} {0 6 9 10 12} {0 6 9 12 16} {0 6 9 14 16} {0 6 10 11 13} {0 6 10 11 15} {0 6 11 13 15} {0 7 9 11 13} {0 7 10 11 15} {0 7 11 13 15} {0 7 13 15 16} {0 8 11 12 13} {0 9 12 15 16} {0 9 14 15 16} {0 12 13 15 16} {1 2 3 5 9} {1 2 4 8 11} {1 2 4 8 13} {1 2 4 11 12} {1 2 4 12 16} {1 2 4 13 16} {1 2 5 9 13} {1 2 5 13 14} {1 2 8 10 13} {1 2 8 10 14} {1 2 8 11 12} {1 2 8 12 16} {1 2 10 13 14} {1 3 4 7 14} {1 3 4 7 16} {1 3 4 12 16} {1 3 5 8 9} {1 3 5 8 15} {1 3 5 10 11} {1 3 5 10 15} {1 3 7 10 14} {1 3 7 10 15} {1 3 7 15 16} {1 3 8 9 12} {1 3 8 12 16} {1 3 8 15 16} {1 3 10 11 14} {1 4 5 9 13} {1 4 5 9 15} {1 4 5 10 11} {1 4 5 10 15} {1 4 5 11 13} {1 4 7 9 13} {1 4 7 9 14} {1 4 7 13 16} {1 4 8 11 13} {1 4 9 14 15} {1 4 10 11 12} {1 5 8 9 15} {1 5 11 13 14} {1 7 9 10 14} {1 8 9 10 11} {1 8 9 10 14} {1 8 9 11 12} {1 8 9 14 15} {1 8 10 11 13} {1 8 14 15 16} {1 9 10 11 12} {1 10 11 13 14} {2 3 4 5 6} {2 3 4 5 7} {2 3 4 6 12} {2 3 4 7 16} {2 3 4 12 16} {2 3 5 7 9} {2 3 6 12 16} {2 3 6 13 14} {2 3 6 13 15} {2 3 6 14 16} {2 3 7 9 16} {2 3 9 14 15} {2 3 9 14 16} {2 3 13 14 15} {2 4 5 6 8} {2 4 5 7 10} {2 4 5 8 10} {2 4 6 9 11} {2 4 6 9 15} {2 4 6 11 12} {2 4 7 8 10} {2 4 7 8 13} {2 4 7 13 16} {2 5 7 9 10} {2 5 8 10 14} {2 5 9 10 12} {2 5 9 12 13} {2 5 10 12 15} {2 5 10 14 15} {2 5 12 13 15} {2 5 13 14 15} {2 6 9 11 15} {2 6 11 12 15} {2 6 12 13 15} {2 6 12 13 16} {2 6 13 14 16} {2 7 8 10 13} {2 7 9 10 14} {2 7 9 14 16} {2 7 10 13 14} {2 7 13 14 16} {2 9 10 11 12} {2 9 10 11 15} {2 9 10 14 15} {2 9 11 12 13} {2 10 11 12 15} {3 4 5 6 12} {3 4 5 7 14} {3 4 5 12 13} {3 4 5 13 14} {3 5 6 10 12} {3 5 7 8 9} {3 5 7 8 14} {3 5 8 14 15} {3 5 10 12 15} {3 5 12 13 15} {3 5 13 14 15} {3 6 8 10 12} {3 6 8 10 13} {3 6 8 12 16} {3 6 8 13 14} {3 6 8 14 16} {3 7 8 9 12} {3 7 8 10 12} {3 7 8 10 13} {3 7 8 13 14} {3 7 9 12 15} {3 7 9 15 16} {3 7 10 12 15} {3 7 10 13 14} {3 8 14 15 16} {3 9 14 15 16} {3 10 11 13 14} {4 5 6 8 9} {4 5 6 9 12} {4 5 7 10 11} {4 5 7 11 14} {4 5 8 9 15} {4 5 8 10 15} {4 5 9 12 13} {4 5 11 13 14} {4 6 7 9 12} {4 6 7 9 14} {4 6 7 11 12} {4 6 7 11 14} {4 6 8 9 15} {4 6 8 10 15} {4 6 9 11 14} {4 7 8 10 12} {4 7 8 12 13} {4 7 9 12 13} {4 7 10 11 12} {5 6 7 8 11} {5 6 7 8 14} {5 6 7 11 14} {5 6 8 9 11} {5 6 9 10 12} {5 6 9 11 14} {5 7 8 9 11} {5 8 10 14 15} {6 7 8 11 13} {6 7 8 13 14} {6 7 9 12 16} {6 7 9 14 16} {6 7 11 12 15} {6 7 11 13 15} {6 7 12 15 16} {6 7 13 14 16} {6 7 13 15 16} {6 8 9 11 15} {6 8 10 11 13} {6 8 10 11 15} {6 12 13 15 16} {7 8 9 11 13} {7 8 9 12 13} {7 9 12 15 16} {7 10 11 12 15} {8 9 10 11 15} {8 9 10 14 15} {8 9 11 12 13} > ) INTERSECTION_FORM 1 (8 5)