_application topaz _version 2.3 _type SimplicialComplex FACETS {0 1 2 3 8} {0 1 2 3 16} {0 1 2 5 6} {0 1 2 5 16} {0 1 2 6 8} {0 1 3 4 8} {0 1 3 4 9} {0 1 3 7 9} {0 1 3 7 16} {0 1 4 7 8} {0 1 4 7 10} {0 1 4 9 10} {0 1 5 6 16} {0 1 6 7 15} {0 1 6 7 16} {0 1 6 8 15} {0 1 7 8 15} {0 1 7 9 11} {0 1 7 10 11} {0 1 9 10 11} {0 2 3 6 8} {0 2 3 6 10} {0 2 3 10 16} {0 2 5 6 10} {0 2 5 10 12} {0 2 5 12 15} {0 2 5 15 16} {0 2 7 12 15} {0 2 7 12 16} {0 2 7 15 16} {0 2 9 10 12} {0 2 9 10 16} {0 2 9 12 16} {0 3 4 8 15} {0 3 4 9 14} {0 3 4 14 15} {0 3 5 6 8} {0 3 5 6 10} {0 3 5 8 10} {0 3 7 9 11} {0 3 7 10 11} {0 3 7 10 16} {0 3 8 10 15} {0 3 9 11 14} {0 3 10 11 15} {0 3 11 14 15} {0 4 5 12 14} {0 4 5 12 15} {0 4 5 14 15} {0 4 7 8 15} {0 4 7 10 16} {0 4 7 12 15} {0 4 7 12 16} {0 4 9 10 16} {0 4 9 12 14} {0 4 9 12 16} {0 5 6 8 9} {0 5 6 9 11} {0 5 6 11 14} {0 5 6 14 15} {0 5 6 15 16} {0 5 8 9 10} {0 5 9 10 12} {0 5 9 11 14} {0 5 9 12 14} {0 6 7 15 16} {0 6 8 9 11} {0 6 8 11 14} {0 6 8 14 15} {0 8 9 10 11} {0 8 10 11 15} {0 8 11 14 15} {1 2 3 8 11} {1 2 3 11 14} {1 2 3 14 16} {1 2 5 6 10} {1 2 5 9 14} {1 2 5 9 15} {1 2 5 10 11} {1 2 5 11 14} {1 2 5 15 16} {1 2 6 8 10} {1 2 8 10 11} {1 2 9 14 15} {1 2 14 15 16} {1 3 4 5 6} {1 3 4 5 10} {1 3 4 6 12} {1 3 4 8 12} {1 3 4 9 10} {1 3 5 6 10} {1 3 6 10 15} {1 3 6 11 12} {1 3 6 11 15} {1 3 7 9 16} {1 3 8 11 12} {1 3 9 10 15} {1 3 9 15 16} {1 3 11 14 15} {1 3 14 15 16} {1 4 5 6 12} {1 4 5 7 10} {1 4 5 7 14} {1 4 5 12 14} {1 4 7 8 14} {1 4 8 12 14} {1 5 6 12 16} {1 5 7 10 11} {1 5 7 11 14} {1 5 9 12 14} {1 5 9 12 16} {1 5 9 15 16} {1 6 7 11 15} {1 6 7 11 16} {1 6 8 10 14} {1 6 8 14 15} {1 6 10 14 15} {1 6 11 12 16} {1 7 8 14 15} {1 7 9 11 16} {1 7 11 14 15} {1 8 9 10 11} {1 8 9 10 14} {1 8 9 11 16} {1 8 9 12 14} {1 8 9 12 16} {1 8 11 12 16} {1 9 10 14 15} {2 3 6 8 9} {2 3 6 9 14} {2 3 6 10 16} {2 3 6 14 16} {2 3 7 8 9} {2 3 7 8 11} {2 3 7 9 11} {2 3 9 11 14} {2 4 6 7 8} {2 4 6 7 11} {2 4 6 8 10} {2 4 6 10 16} {2 4 6 11 16} {2 4 7 8 11} {2 4 8 10 15} {2 4 8 11 15} {2 4 9 10 15} {2 4 9 10 16} {2 4 9 11 15} {2 4 9 11 16} {2 5 9 11 14} {2 5 9 11 15} {2 5 10 11 12} {2 5 11 12 15} {2 6 7 8 9} {2 6 7 9 15} {2 6 7 11 16} {2 6 7 15 16} {2 6 9 14 15} {2 6 14 15 16} {2 7 9 11 16} {2 7 9 12 15} {2 7 9 12 16} {2 8 10 11 15} {2 9 10 12 15} {2 10 11 12 15} {3 4 5 6 9} {3 4 5 9 13} {3 4 5 10 13} {3 4 6 7 12} {3 4 6 7 14} {3 4 6 9 14} {3 4 7 12 16} {3 4 7 14 16} {3 4 8 12 16} {3 4 8 15 16} {3 4 9 10 13} {3 4 14 15 16} {3 5 6 8 9} {3 5 7 8 9} {3 5 7 8 11} {3 5 7 9 16} {3 5 7 11 12} {3 5 7 12 16} {3 5 8 10 15} {3 5 8 11 12} {3 5 8 12 16} {3 5 8 15 16} {3 5 9 13 15} {3 5 9 15 16} {3 5 10 13 15} {3 6 7 10 12} {3 6 7 10 14} {3 6 10 11 12} {3 6 10 11 15} {3 6 10 14 16} {3 7 10 11 12} {3 7 10 14 16} {3 9 10 13 15} {4 5 6 9 11} {4 5 6 11 12} {4 5 7 10 14} {4 5 8 10 15} {4 5 8 10 16} {4 5 8 15 16} {4 5 9 11 15} {4 5 9 13 15} {4 5 10 13 15} {4 5 10 14 16} {4 5 11 12 15} {4 5 14 15 16} {4 6 7 8 9} {4 6 7 9 14} {4 6 7 11 15} {4 6 7 12 15} {4 6 8 9 16} {4 6 8 10 16} {4 6 9 11 16} {4 6 11 12 15} {4 7 8 9 14} {4 7 8 11 15} {4 7 10 14 16} {4 8 9 12 14} {4 8 9 12 16} {4 9 10 13 15} {5 6 11 12 16} {5 6 11 14 16} {5 6 14 15 16} {5 7 8 9 10} {5 7 8 10 14} {5 7 8 11 14} {5 7 9 10 12} {5 7 9 12 16} {5 7 10 11 12} {5 8 10 14 16} {5 8 11 12 16} {5 8 11 14 16} {6 7 9 10 14} {6 7 9 10 15} {6 7 10 12 15} {6 8 9 11 16} {6 8 10 14 16} {6 8 11 14 16} {6 9 10 14 15} {6 10 11 12 15} {7 8 9 10 14} {7 8 11 14 15} {7 9 10 12 15} PURE 1 DIM 4 COHOMOLOGY ({} 0) ({} 0) ({} 14) ({} 0) ({} 1) COCYCLES (<> <> ) (<> <> ) (<(229) (6 1) (8 2) (9 2) (12 1) (13 -2) (23 -2) (27 -1) (28 -1) (29 2) (30 2) (35 1) (36 -2) (43 1) (45 -2) (46 -2) (47 -1) (48 -2) (49 -2) (50 -2) (51 2) (53 1) (54 -2) (58 1) (63 1) (64 -1) (66 -1) (68 2) (73 -2) (74 -2) (75 -1) (76 -2) (77 -2) (78 -2) (80 -2) (81 -1) (83 -2) (85 -2) (86 2) (88 -2) (89 -2) (90 -1) (91 -2) (96 -2) (97 1) (100 2) (101 2) (102 2) (104 2) (105 1) (106 2) (110 -2) (112 -1) (113 -2) (115 -2) (116 -2) (117 -1) (118 -2) (119 -2) (122 -2) (123 -2) (124 1) (127 -2) (129 1) (131 -1) (135 2) (139 -1) (144 2) (146 2) (148 -2) (151 -1) (153 2) (154 2) (155 2) (156 1) (159 2) (173 1) (177 2) (179 -1) (182 2) (186 1) (196 1) (197 -1) (198 -1) (200 -2) (201 -2) (205 2) (208 2) (209 2) (211 2) (215 1) (221 1) (224 -2) (225 1) (226 2) 0 3 1 -3 -3 0 -3 1 -8 -6 2 3 -1 8 2 1 3 0 -1 0 0 0 -1 6 0 0 1 3 4 -6 -6 1 -1 0 0 -3 3 -4 -7 -7 -7 -7 2 -1 2 3 7 0 3 3 3 -7 0 -3 7 -3 0 -3 -3 0 -1 3 0 -7 3 -3 3 0 -5 3 -1 0 -1 4 7 3 8 5 5 -4 7 0 -3 3 -4 3 -7 1 7 7 3 5 0 -1 0 1 7 -3 -1 0 -8 -8 -5 2 -5 -8 -5 1 0 4 10 7 0 6 0 10 6 0 6 6 0 -4 5 6 -10 -1 0 6 0 0 4 10 0 1 1 -8 -3 -3 -3 1 -3 -2 -1 0 -8 0 -5 0 7 1 2 4 1 -5 -6 -8 -4 0 2 -5 0 -4 -4 -4 0 0 0 -3 0 0 4 3 0 0 4 4 4 -3 0 4 0 0 -6 0 0 0 -4 -1 0 0 0 -1 0 0 0 0 -4 3 4 1 7 6 1 0 1 -6 0 0 -5 -6 0 -5 0 0 1 -5 0 1 1 1 -1 -4 0 0 7 -4 -6 0 0 1 0 0 1 1 1 1 0 2 2 0 0 1 -2 0 0 0 0 0 0 0 0 0 -2 0 0 -1 -1 -1 2 2 0 0 -1 -1 1 -2 1 1 1 1 1 -1 1 0 -2 -3 0 -2 -2 -2 3 0 2 -3 0 0 0 2 1 1 0 0 1 -1 0 -2 0 1 -1 0 -1 0 -2 -2 -1 -2 -2 -2 1 -2 0 1 -2 1 -2 2 0 -2 -2 -1 -2 -1 0 0 0 -2 1 0 0 2 2 2 -1 2 2 1 0 0 -1 -3 -1 0 -3 0 -3 -2 0 -2 -2 0 1 -2 -2 3 1 -1 -2 0 0 -1 -3 1 0 0 2 0 0 0 -1 0 0 0 0 2 0 2 0 -2 0 0 -1 0 2 2 2 1 0 0 2 0 1 1 1 0 0 1 0 0 0 0 0 0 0 -1 0 -1 2 0 -1 0 0 2 0 0 0 1 0 0 0 0 1 0 0 0 0 1 -1 -1 0 -2 -2 0 0 0 2 0 0 2 2 0 2 -1 0 -1 1 0 -1 0 0 0 1 0 1 -2 1 2 0 0 (229) (0 1) (1 1) (5 1) (9 1) (11 1) (12 1) (14 1) (16 1) (24 1) (26 -1) (29 1) (33 -2) (34 -2) (36 -2) (38 -2) (39 -2) (40 -1) (41 -2) (42 -1) (43 1) (44 1) (45 -2) (46 -2) (48 -2) (49 -2) (50 -2) (51 2) (53 2) (54 -2) (55 -1) (57 -1) (58 2) (59 2) (60 1) (61 1) (63 -1) (65 -1) (66 -2) (71 -1) (73 -1) (83 -2) (85 -2) (88 -1) (92 -1) (96 -1) (104 1) (111 2) (113 -2) (118 -1) (120 1) (122 -1) (126 -1) (127 -1) (128 -1) (136 -1) (137 -1) (138 -1) (139 -1) (140 -1) (141 -1) (142 -1) (154 1) (166 1) (167 -1) (170 2) (171 1) (175 1) (177 2) (190 1) (191 1) (200 -1) (202 1) (205 1) (208 1) (212 -1) (213 -1) (214 -1) (217 -1) (219 1) (223 1) (224 -1) 1 1 1 0 0 1 0 1 -1 -1 0 1 0 1 0 1 1 0 -1 0 0 0 -1 1 0 0 0 0 1 -1 -1 1 -1 -1 -1 0 0 0 -2 -2 -1 -2 -1 0 0 -1 0 0 -1 -1 -1 0 0 1 0 -1 0 -1 1 1 0 1 0 -1 0 -1 -1 0 -1 0 0 -1 0 0 1 0 1 1 1 -1 1 0 0 -1 -1 -1 -1 0 1 1 0 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 -1 -1 0 -1 0 1 2 0 -1 -1 1 1 1 1 1 1 0 0 1 -1 -1 -1 1 -1 0 0 1 0 0 0 -1 -1 -1 -1 0 -1 0 -1 0 -1 0 -1 0 1 -1 0 1 1 -1 0 -1 -1 0 0 -1 0 -1 -1 -1 0 -1 1 -1 0 0 2 1 0 0 0 2 1 1 0 1 0 1 -1 0 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 -1 0 -1 -1 0 0 0 0 0 1 1 -1 0 0 1 1 0 -1 0 0 -2 1 0 -2 -2 -1 -2 0 -5 -4 1 1 -1 5 1 0 1 0 0 0 0 0 0 4 0 1 1 2 2 -4 -3 0 0 1 2 -2 3 -2 -2 -2 -4 -2 3 -1 1 3 6 0 3 3 3 -5 1 -3 6 -1 0 -2 -4 -2 -2 1 -1 -4 2 -2 3 0 -3 2 0 1 0 3 4 2 5 3 3 -2 4 0 -2 3 -2 3 -4 0 4 4 2 3 1 0 1 1 4 -2 0 0 -5 -5 -3 1 -4 -5 -3 0 0 2 6 2 0 5 0 5 4 0 4 4 -1 -2 4 3 -6 0 1 4 1 0 2 5 0 0 0 -5 -1 -1 -1 1 -2 -1 0 0 -5 0 -3 0 4 1 2 2 0 -3 -4 -5 -3 0 2 -3 0 -2 -2 -2 0 0 -1 -1 0 0 1 1 1 0 3 1 2 -3 0 2 0 0 -3 0 0 0 -2 0 0 1 0 -1 1 1 0 0 -2 2 2 0 4 4 0 1 0 -4 0 0 -4 -3 0 -3 1 0 1 -4 -1 2 0 0 -1 -3 1 -1 4 -2 -3 0 0 3 3 2 -2 -2 1 -1 1 -4 -2 2 3 1 4 2 2 3 1 -1 0 0 0 -1 2 0 -1 0 1 2 -2 -3 1 -2 -2 -3 -1 -2 -3 -7 -7 -5 -7 -1 1 2 -2 0 0 -1 -2 -2 -1 -1 1 0 -3 0 -2 2 3 1 3 1 -4 1 -2 -1 -1 -2 2 -1 -1 -1 0 3 1 3 2 1 -3 3 0 -2 -1 -3 -2 -3 1 3 3 1 2 -1 -1 -1 0 3 -1 -1 -1 -4 -4 -2 1 -1 -4 -2 0 0 3 5 7 0 1 0 5 2 -1 2 2 1 -3 1 3 -5 -1 -1 2 -1 1 3 6 0 1 0 -4 -3 -3 -3 -1 -2 -2 -1 0 -3 0 -2 1 3 0 1 2 1 -2 -1 -3 -1 1 1 -2 1 -3 -3 -3 -1 0 1 -3 1 0 4 3 0 0 2 4 3 2 1 3 1 0 -3 1 0 0 -2 -1 0 -1 0 0 -1 -1 0 0 -2 1 2 1 3 2 1 -1 1 -2 0 0 -1 -3 0 -3 -1 0 0 -1 1 -1 1 1 -1 -1 -1 1 3 -2 -3 0 -1 2 4 2 -3 -3 1 -3 1 -8 -5 2 4 0 8 3 2 4 0 -1 -1 -1 -1 -1 6 1 0 0 3 4 -5 -6 1 -2 -3 -3 -3 -1 -4 -10 -10 -9 -10 0 0 3 -1 3 -1 0 -1 -1 -3 0 0 3 -5 -1 -5 0 3 0 4 0 -8 3 -4 0 -1 -5 3 -1 -1 -1 2 6 2 7 5 4 -4 6 0 -3 0 -4 -1 -6 1 6 6 2 5 -1 -1 0 1 5 -3 -1 -1 -8 -8 -5 1 -4 -9 -5 0 0 4 9 10 -1 3 0 9 5 -1 5 5 1 -5 4 6 -10 -1 -1 4 -1 1 5 10 0 1 0 -8 -4 -4 -4 0 -4 -3 -2 0 -7 0 -5 1 6 0 2 4 0 -5 -4 -8 -4 0 2 -5 1 -4 -4 -4 0 0 2 -5 1 0 6 4 0 0 4 5 4 1 0 4 0 0 -6 1 0 0 -4 -1 0 0 0 0 0 0 -1 0 -4 3 4 1 6 5 1 -1 0 -5 -1 -1 -4 -6 0 -6 -1 -1 0 -4 0 0 1 2 -2 -4 0 1 5 -4 -6 1 -1 2 1 0 1 1 2 1 0 1 1 -1 1 1 -1 0 0 1 0 0 0 0 0 0 0 1 0 -2 -1 -1 1 0 0 0 -3 -3 1 -3 2 -1 -1 1 -1 -3 1 0 -3 -4 1 -3 -3 -3 5 0 4 -4 -1 0 -1 4 3 2 1 0 0 -1 -1 -4 0 0 -1 0 -2 0 -2 -1 -1 -1 0 0 1 -1 0 1 -3 1 -3 2 0 -1 -1 -1 0 -2 0 0 0 -2 1 0 0 1 1 0 -1 2 2 0 0 0 -2 -2 1 1 -4 0 -2 -1 1 -1 0 2 2 -1 0 3 0 -2 -2 -2 -1 -2 -3 0 0 0 1 0 -1 -1 -1 -1 0 -2 0 1 0 0 0 -1 -1 -1 0 0 0 2 1 0 0 -1 0 0 2 1 1 0 0 3 -1 0 0 2 1 0 0 -1 1 -1 3 0 -1 0 0 0 0 1 1 1 0 0 0 0 2 0 0 -1 0 1 -1 -1 0 -1 0 1 0 0 2 0 0 1 0 0 0 -2 -1 -2 1 0 -2 0 1 0 1 0 2 -2 1 0 0 0 (229) (1 -1) (5 -1) (8 1) (11 -1) (12 -1) (13 -1) (14 -1) (16 -1) (23 -1) (24 -1) (26 1) (30 1) (33 1) (34 1) (36 1) (38 2) (39 2) (40 2) (41 2) (43 -1) (44 -1) (45 1) (48 1) (49 1) (50 1) (51 -1) (53 -1) (55 1) (57 2) (58 -1) (59 -1) (61 -1) (62 1) (63 2) (65 2) (66 1) (68 1) (71 1) (73 1) (74 -1) (76 -1) (77 -1) (78 -1) (80 -1) (83 1) (85 1) (89 -1) (91 -1) (92 1) (95 -1) (100 1) (101 1) (102 1) (105 1) (106 1) (110 -1) (111 -2) (113 1) (115 -1) (119 -1) (120 -1) (123 -1) (124 1) (126 1) (128 1) (131 -1) (135 1) (136 1) (137 2) (138 1) (139 1) (140 2) (141 1) (142 2) (144 1) (146 1) (148 -1) (153 1) (155 1) (156 1) (159 1) (162 1) (166 -1) (167 1) (170 -2) (171 -1) (174 -1) (175 -1) (177 -1) (182 1) (184 -1) (188 1) (193 -1) (201 -1) (202 -1) (209 1) (211 1) (212 1) (213 1) (214 1) (215 1) (219 -1) (221 1) (222 -1) (223 -1) (226 1) 0 2 0 -2 -2 0 -2 0 -5 -4 1 2 -1 5 1 0 2 0 0 0 0 0 0 4 0 0 0 2 2 -4 -4 0 0 0 0 -2 2 -2 -4 -4 -4 -4 1 -1 1 2 4 0 2 2 2 -4 0 -2 4 -2 0 -2 -2 0 0 2 0 -4 2 -2 2 0 -3 2 0 0 0 2 4 1 4 3 3 -2 4 0 -2 2 -2 2 -4 0 4 4 2 4 0 0 0 0 4 -2 0 0 -5 -5 -3 1 -3 -5 -3 0 0 2 6 4 0 4 0 6 4 0 4 4 0 -2 4 4 -6 0 0 4 0 0 2 6 0 0 0 -5 -2 -2 -2 1 -2 -1 -1 1 -4 1 -3 1 4 1 1 3 1 -3 -3 -5 -3 0 1 -3 0 -2 -2 -2 0 0 0 -2 0 0 2 2 0 0 2 2 2 -2 0 2 0 0 -4 0 0 0 -2 0 0 0 0 0 0 0 0 0 -2 2 2 0 4 4 0 0 0 -4 0 0 -4 -4 0 -4 0 0 0 -4 0 0 0 0 0 -2 0 0 4 -2 -4 0 0 0 -1 0 1 1 0 1 0 2 1 0 -1 0 -2 -1 0 -1 0 0 1 1 1 0 -2 -1 0 0 -1 -1 1 2 0 0 1 1 1 1 1 3 3 3 3 0 0 -1 1 0 1 1 1 1 0 0 0 0 2 1 2 0 -1 0 -1 0 2 -1 1 0 0 1 -1 0 0 0 0 -1 0 -1 -1 -1 1 -1 0 1 1 1 1 1 0 -1 -1 0 -2 0 0 0 0 0 1 0 0 2 2 1 0 1 3 1 0 0 -1 -2 -3 1 0 0 -2 -1 1 -1 -1 0 2 -1 -2 3 0 0 0 0 -1 -2 -3 0 0 0 2 1 1 1 0 1 1 1 0 1 0 1 -1 -1 0 0 -1 1 1 1 2 1 0 0 1 0 1 1 1 0 0 -1 2 -1 0 -2 -1 0 0 -1 -1 -1 -1 0 -1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 1 0 1 -1 -1 0 -1 -1 0 1 1 2 1 1 1 2 1 2 0 1 0 1 0 0 0 -1 0 1 0 0 0 1 2 0 0 0 1 0 -1 -1 0 -1 0 -2 -1 1 1 0 2 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 -1 -1 0 0 0 0 -1 0 -2 -3 -3 -3 -3 1 0 1 0 2 -1 0 0 0 -2 0 -1 2 -1 0 -1 -1 0 0 1 0 -2 1 -1 1 0 -1 1 0 0 0 1 2 1 2 1 1 -1 2 0 -1 0 -1 0 -2 0 1 2 1 1 0 0 0 0 1 -1 0 0 -2 -2 -1 1 -1 -3 -1 0 0 2 3 3 -1 1 0 3 1 -1 1 1 0 -2 1 1 -4 0 0 1 0 1 2 4 0 0 0 -2 -1 -1 -1 0 -1 -1 0 0 -2 0 -1 0 2 1 1 1 0 -1 -1 -2 -1 0 1 -1 0 -2 -2 -1 0 0 0 -1 0 1 2 2 0 0 1 1 1 0 0 1 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 -1 1 1 0 1 1 0 0 0 -1 0 0 -1 -1 0 -1 0 0 0 -2 0 0 0 0 0 -1 0 0 1 -1 -1 0 0 2 1 1 0 0 1 0 1 -1 -1 0 1 0 1 0 1 1 0 -1 0 0 0 -1 1 0 0 0 0 1 -1 -1 1 -1 -2 -2 0 -1 0 -2 -2 0 -2 -2 0 0 -1 -1 1 -1 -1 -1 1 0 2 -1 -1 0 0 2 2 1 1 1 -1 0 0 -2 0 -1 0 0 -1 0 0 1 0 1 1 1 0 1 0 0 -1 -1 -1 -1 0 1 1 0 1 -1 -1 0 0 1 0 0 0 -1 -1 -1 0 0 0 -1 0 0 0 1 2 1 -1 0 1 1 1 1 1 1 0 0 1 0 -1 -1 1 -1 -1 0 0 0 0 0 -1 -1 -1 -1 0 -1 0 -1 0 -1 0 -1 0 1 -1 0 1 1 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 2 -1 0 0 2 1 0 0 0 2 1 1 0 1 0 0 -1 0 0 0 -1 -1 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 -1 0 -1 -1 0 0 1 0 -1 1 1 -1 0 -1 1 1 -1 -1 0 0 > <{1 2 9} {1 2 10} {1 2 15} {1 3 5} {1 3 6} {1 3 10} {1 3 11} {1 3 15} {1 4 5} {1 4 14} {1 5 9} {1 5 10} {1 5 11} {1 5 12} {1 5 14} {1 5 15} {1 6 10} {1 6 11} {1 6 14} {1 8 9} {1 8 10} {1 8 11} {1 8 14} {1 9 12} {1 9 14} {1 9 16} {1 10 15} {1 11 14} {1 11 15} {1 12 14} {1 12 16} {1 14 15} {1 15 16} {2 3 7} {2 3 9} {2 3 11} {2 4 7} {2 4 8} {2 4 9} {2 4 10} {2 4 15} {2 4 16} {2 5 9} {2 5 11} {2 5 14} {2 6 7} {2 6 9} {2 6 11} {2 6 14} {2 6 15} {2 6 16} {2 7 8} {2 7 9} {2 7 11} {2 8 9} {2 8 10} {2 8 11} {2 8 15} {2 9 11} {2 9 14} {2 9 15} {2 10 11} {2 10 15} {2 11 12} {2 11 14} {2 11 15} {2 11 16} {2 14 15} {3 4 5} {3 4 6} {3 4 7} {3 4 10} {3 4 16} {3 5 7} {3 5 9} {3 5 11} {3 5 12} {3 5 15} {3 5 16} {3 6 7} {3 6 9} {3 6 11} {3 6 12} {3 6 14} {3 6 15} {3 6 16} {3 7 8} {3 7 12} {3 7 14} {3 8 9} {3 8 11} {3 8 16} {3 9 10} {3 9 15} {3 9 16} {3 10 12} {3 10 14} {3 11 12} {3 12 16} {3 15 16} {4 5 6} {4 5 7} {4 5 8} {4 5 9} {4 5 10} {4 5 11} {4 5 13} {4 5 16} {4 6 7} {4 6 8} {4 6 9} {4 6 10} {4 6 11} {4 6 14} {4 6 15} {4 6 16} {4 7 9} {4 7 11} {4 7 14} {4 8 9} {4 8 10} {4 8 11} {4 8 14} {4 8 16} {4 9 11} {4 9 15} {4 10 13} {4 10 14} {4 10 15} {4 11 12} {4 11 15} {4 11 16} {4 13 15} {4 14 16} {4 15 16} {5 6 12} {5 7 8} {5 7 9} {5 7 10} {5 7 11} {5 7 12} {5 7 14} {5 7 16} {5 8 11} {5 8 12} {5 8 14} {5 8 15} {5 8 16} {5 9 13} {5 9 15} {5 9 16} {5 10 11} {5 10 14} {5 10 15} {5 10 16} {5 11 12} {5 11 15} {5 11 16} {5 12 16} {5 13 15} {5 14 16} {6 7 8} {6 7 9} {6 7 10} {6 7 11} {6 7 12} {6 7 14} {6 8 10} {6 8 16} {6 9 10} {6 9 14} {6 9 15} {6 9 16} {6 10 11} {6 10 12} {6 10 14} {6 10 15} {6 10 16} {6 11 12} {6 11 15} {6 11 16} {6 12 15} {6 12 16} {6 14 16} {7 8 9} {7 8 10} {7 8 11} {7 8 14} {7 9 10} {7 9 12} {7 9 14} {7 9 15} {7 9 16} {7 10 12} {7 10 14} {7 10 15} {7 11 12} {7 11 14} {7 11 15} {7 14 15} {7 14 16} {8 9 12} {8 9 14} {8 9 16} {8 10 14} {8 10 16} {8 11 12} {8 11 16} {8 12 14} {8 12 16} {8 14 16} {8 15 16} {9 10 13} {9 10 14} {9 10 15} {9 11 15} {9 11 16} {9 12 15} {9 13 15} {9 14 15} {9 15 16} {10 11 12} {10 12 15} {10 14 15} {10 14 16} {11 12 15} {11 12 16} {11 14 16} {14 15 16} > ) (<> <> ) (<1 > <{7 9 10 12 15} > ) HOMOLOGY ({} 0) ({} 0) ({} 14) ({} 0) ({} 1) CYCLES (<> <> ) (<> <> ) (<(75) (11 -1) (12 1) (14 1) (15 -1) (17 -1) (31 1) (33 -1) (35 1) (43 1) (58 -1) (62 -1) (70 -1) (71 1) (73 1) (75) (18 1) (19 -1) (25 1) (35 -1) (75) (9 -1) (10 1) (12 1) (13 -1) (17 -1) (28 1) (30 1) (31 1) (34 -1) (35 1) (43 1) (58 -1) (60 1) (61 -1) (62 -1) (63 -1) (70 -1) (72 1) (73 1) (74 -1) (75) (31 1) (34 -1) (35 1) (40 1) (41 -1) (43 1) (46 1) (58 -1) (60 1) (61 -1) (62 -1) (63 -1) (70 -1) (73 1) (75) (6 1) (7 -1) (8 1) (22 -1) (23 1) (29 -1) (30 1) (48 1) (49 -1) (52 1) (53 -1) (60 1) (61 -1) (69 -1) (70 -1) (72 1) (73 1) (74 -1) (75) (9 1) (10 -1) (12 -1) (13 1) (17 1) (19 1) (20 -1) (24 1) (25 -1) (26 1) (31 1) (32 -1) (35 1) (39 -1) (45 -1) (56 -1) (75) (35 1) (38 -1) (43 1) (47 1) (49 -1) (50 1) (55 -1) (58 -1) (60 1) (61 -1) (62 -1) (67 1) (70 -1) (72 1) (73 1) (74 -1) (75) (6 -1) (7 1) (8 -1) (52 -1) (53 1) (54 1) (69 1) (73 -1) (75) (19 -1) (20 1) (27 -1) (44 1) (75) (31 1) (34 -1) (35 2) (38 -1) (41 -1) (42 1) (43 2) (57 1) (58 -2) (60 2) (61 -1) (62 -2) (63 -1) (64 -1) (67 1) (70 -2) (72 1) (73 2) (74 -1) (75) (0 1) (1 -1) (2 1) (3 -1) (4 -1) (5 1) (11 -1) (13 1) (16 -1) (19 1) (20 -1) (27 1) (36 -1) (37 1) (40 -1) (41 1) (43 -1) (65 1) (75) (11 1) (12 -1) (14 -1) (15 1) (17 1) (32 -1) (33 1) (39 -1) (45 -1) (59 1) (60 1) (68 -1) (75) (0 1) (1 -1) (2 1) (3 -1) (4 -1) (5 1) (11 -1) (13 1) (16 -1) (19 1) (20 -1) (27 1) (36 -1) (38 1) (43 -1) (65 1) (66 1) (67 -1) (72 -1) (74 1) (75) (9 -1) (10 1) (11 1) (13 -1) (14 -1) (15 1) (21 -1) (22 1) (26 -1) (29 1) (33 1) (34 -1) (48 -1) (49 1) (51 1) (53 1) (63 -1) (68 -1) > <{1 10 14} {1 10 15} {1 11 15} {1 11 16} {1 12 14} {1 12 16} {2 6 11} {2 6 15} {2 11 15} {3 4 13} {3 4 16} {3 5 12} {3 5 15} {3 5 16} {3 10 12} {3 10 13} {3 12 16} {3 13 15} {4 5 8} {4 5 11} {4 5 16} {4 6 9} {4 6 14} {4 6 15} {4 8 9} {4 8 11} {4 9 13} {4 11 16} {4 13 15} {4 14 16} {4 15 16} {5 7 8} {5 7 9} {5 7 12} {5 7 16} {5 8 11} {5 8 12} {5 8 14} {5 8 15} {5 9 13} {5 10 14} {5 10 15} {5 10 16} {5 11 15} {5 11 16} {5 13 15} {5 14 16} {6 7 8} {6 7 12} {6 7 14} {6 8 16} {6 9 10} {6 10 11} {6 10 12} {6 12 15} {6 14 16} {7 8 9} {7 8 10} {7 8 11} {7 9 10} {7 10 12} {7 10 14} {7 11 12} {7 14 16} {8 10 16} {8 12 14} {8 14 16} {8 15 16} {9 10 13} {10 11 12} {10 12 15} {10 13 15} {10 14 15} {11 12 15} {14 15 16} > ) (<> <> ) (<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 8} {0 1 2 3 16} {0 1 2 5 6} {0 1 2 5 16} {0 1 2 6 8} {0 1 3 4 8} {0 1 3 4 9} {0 1 3 7 9} {0 1 3 7 16} {0 1 4 7 8} {0 1 4 7 10} {0 1 4 9 10} {0 1 5 6 16} {0 1 6 7 15} {0 1 6 7 16} {0 1 6 8 15} {0 1 7 8 15} {0 1 7 9 11} {0 1 7 10 11} {0 1 9 10 11} {0 2 3 6 8} {0 2 3 6 10} {0 2 3 10 16} {0 2 5 6 10} {0 2 5 10 12} {0 2 5 12 15} {0 2 5 15 16} {0 2 7 12 15} {0 2 7 12 16} {0 2 7 15 16} {0 2 9 10 12} {0 2 9 10 16} {0 2 9 12 16} {0 3 4 8 15} {0 3 4 9 14} {0 3 4 14 15} {0 3 5 6 8} {0 3 5 6 10} {0 3 5 8 10} {0 3 7 9 11} {0 3 7 10 11} {0 3 7 10 16} {0 3 8 10 15} {0 3 9 11 14} {0 3 10 11 15} {0 3 11 14 15} {0 4 5 12 14} {0 4 5 12 15} {0 4 5 14 15} {0 4 7 8 15} {0 4 7 10 16} {0 4 7 12 15} {0 4 7 12 16} {0 4 9 10 16} {0 4 9 12 14} {0 4 9 12 16} {0 5 6 8 9} {0 5 6 9 11} {0 5 6 11 14} {0 5 6 14 15} {0 5 6 15 16} {0 5 8 9 10} {0 5 9 10 12} {0 5 9 11 14} {0 5 9 12 14} {0 6 7 15 16} {0 6 8 9 11} {0 6 8 11 14} {0 6 8 14 15} {0 8 9 10 11} {0 8 10 11 15} {0 8 11 14 15} {1 2 3 8 11} {1 2 3 11 14} {1 2 3 14 16} {1 2 5 6 10} {1 2 5 9 14} {1 2 5 9 15} {1 2 5 10 11} {1 2 5 11 14} {1 2 5 15 16} {1 2 6 8 10} {1 2 8 10 11} {1 2 9 14 15} {1 2 14 15 16} {1 3 4 5 6} {1 3 4 5 10} {1 3 4 6 12} {1 3 4 8 12} {1 3 4 9 10} {1 3 5 6 10} {1 3 6 10 15} {1 3 6 11 12} {1 3 6 11 15} {1 3 7 9 16} {1 3 8 11 12} {1 3 9 10 15} {1 3 9 15 16} {1 3 11 14 15} {1 3 14 15 16} {1 4 5 6 12} {1 4 5 7 10} {1 4 5 7 14} {1 4 5 12 14} {1 4 7 8 14} {1 4 8 12 14} {1 5 6 12 16} {1 5 7 10 11} {1 5 7 11 14} {1 5 9 12 14} {1 5 9 12 16} {1 5 9 15 16} {1 6 7 11 15} {1 6 7 11 16} {1 6 8 10 14} {1 6 8 14 15} {1 6 10 14 15} {1 6 11 12 16} {1 7 8 14 15} {1 7 9 11 16} {1 7 11 14 15} {1 8 9 10 11} {1 8 9 10 14} {1 8 9 11 16} {1 8 9 12 14} {1 8 9 12 16} {1 8 11 12 16} {1 9 10 14 15} {2 3 6 8 9} {2 3 6 9 14} {2 3 6 10 16} {2 3 6 14 16} {2 3 7 8 9} {2 3 7 8 11} {2 3 7 9 11} {2 3 9 11 14} {2 4 6 7 8} {2 4 6 7 11} {2 4 6 8 10} {2 4 6 10 16} {2 4 6 11 16} {2 4 7 8 11} {2 4 8 10 15} {2 4 8 11 15} {2 4 9 10 15} {2 4 9 10 16} {2 4 9 11 15} {2 4 9 11 16} {2 5 9 11 14} {2 5 9 11 15} {2 5 10 11 12} {2 5 11 12 15} {2 6 7 8 9} {2 6 7 9 15} {2 6 7 11 16} {2 6 7 15 16} {2 6 9 14 15} {2 6 14 15 16} {2 7 9 11 16} {2 7 9 12 15} {2 7 9 12 16} {2 8 10 11 15} {2 9 10 12 15} {2 10 11 12 15} {3 4 5 6 9} {3 4 5 9 13} {3 4 5 10 13} {3 4 6 7 12} {3 4 6 7 14} {3 4 6 9 14} {3 4 7 12 16} {3 4 7 14 16} {3 4 8 12 16} {3 4 8 15 16} {3 4 9 10 13} {3 4 14 15 16} {3 5 6 8 9} {3 5 7 8 9} {3 5 7 8 11} {3 5 7 9 16} {3 5 7 11 12} {3 5 7 12 16} {3 5 8 10 15} {3 5 8 11 12} {3 5 8 12 16} {3 5 8 15 16} {3 5 9 13 15} {3 5 9 15 16} {3 5 10 13 15} {3 6 7 10 12} {3 6 7 10 14} {3 6 10 11 12} {3 6 10 11 15} {3 6 10 14 16} {3 7 10 11 12} {3 7 10 14 16} {3 9 10 13 15} {4 5 6 9 11} {4 5 6 11 12} {4 5 7 10 14} {4 5 8 10 15} {4 5 8 10 16} {4 5 8 15 16} {4 5 9 11 15} {4 5 9 13 15} {4 5 10 13 15} {4 5 10 14 16} {4 5 11 12 15} {4 5 14 15 16} {4 6 7 8 9} {4 6 7 9 14} {4 6 7 11 15} {4 6 7 12 15} {4 6 8 9 16} {4 6 8 10 16} {4 6 9 11 16} {4 6 11 12 15} {4 7 8 9 14} {4 7 8 11 15} {4 7 10 14 16} {4 8 9 12 14} {4 8 9 12 16} {4 9 10 13 15} {5 6 11 12 16} {5 6 11 14 16} {5 6 14 15 16} {5 7 8 9 10} {5 7 8 10 14} {5 7 8 11 14} {5 7 9 10 12} {5 7 9 12 16} {5 7 10 11 12} {5 8 10 14 16} {5 8 11 12 16} {5 8 11 14 16} {6 7 9 10 14} {6 7 9 10 15} {6 7 10 12 15} {6 8 9 11 16} {6 8 10 14 16} {6 8 11 14 16} {6 9 10 14 15} {6 10 11 12 15} {7 8 9 10 14} {7 8 11 14 15} {7 9 10 12 15} > ) INTERSECTION_FORM 0 (3 11)