_application topaz _version 2.3 _type SimplicialComplex FACETS {0 1 2 5 10} {0 1 2 5 13} {0 1 2 6 9} {0 1 2 6 14} {0 1 2 9 13} {0 1 2 10 14} {0 1 3 4 11} {0 1 3 4 12} {0 1 3 7 8} {0 1 3 7 15} {0 1 3 8 12} {0 1 3 11 15} {0 1 4 6 9} {0 1 4 6 14} {0 1 4 9 11} {0 1 4 12 14} {0 1 5 7 8} {0 1 5 7 15} {0 1 5 8 10} {0 1 5 13 15} {0 1 8 10 14} {0 1 8 12 14} {0 1 9 11 15} {0 1 9 13 15} {0 2 3 4 11} {0 2 3 4 12} {0 2 3 7 8} {0 2 3 7 15} {0 2 3 8 12} {0 2 3 11 15} {0 2 4 5 10} {0 2 4 5 13} {0 2 4 10 11} {0 2 4 12 13} {0 2 6 7 8} {0 2 6 7 15} {0 2 6 8 9} {0 2 6 14 15} {0 2 8 9 13} {0 2 8 12 13} {0 2 10 11 15} {0 2 10 14 15} {0 4 5 7 8} {0 4 5 7 15} {0 4 5 8 10} {0 4 5 13 15} {0 4 6 7 8} {0 4 6 7 15} {0 4 6 8 9} {0 4 6 14 15} {0 4 8 9 11} {0 4 8 10 11} {0 4 12 13 15} {0 4 12 14 15} {0 8 9 11 15} {0 8 9 13 15} {0 8 10 11 15} {0 8 10 14 15} {0 8 12 13 15} {0 8 12 14 15} {1 2 3 5 10} {1 2 3 5 13} {1 2 3 6 9} {1 2 3 6 14} {1 2 3 9 13} {1 2 3 10 14} {1 3 4 5 11} {1 3 4 5 12} {1 3 5 10 11} {1 3 5 12 13} {1 3 6 7 9} {1 3 6 7 14} {1 3 7 8 9} {1 3 7 14 15} {1 3 8 9 12} {1 3 9 12 13} {1 3 10 11 14} {1 3 11 14 15} {1 4 5 6 9} {1 4 5 6 14} {1 4 5 9 11} {1 4 5 12 14} {1 5 6 7 9} {1 5 6 7 14} {1 5 7 8 9} {1 5 7 14 15} {1 5 8 9 10} {1 5 9 10 11} {1 5 12 13 14} {1 5 13 14 15} {1 8 9 10 14} {1 8 9 12 14} {1 9 10 11 14} {1 9 11 14 15} {1 9 12 13 14} {1 9 13 14 15} {2 3 4 6 11} {2 3 4 6 12} {2 3 5 7 10} {2 3 5 7 13} {2 3 6 9 11} {2 3 6 12 14} {2 3 7 8 10} {2 3 7 13 15} {2 3 8 10 12} {2 3 9 11 13} {2 3 10 12 14} {2 3 11 13 15} {2 4 5 6 10} {2 4 5 6 13} {2 4 6 10 11} {2 4 6 12 13} {2 5 6 7 10} {2 5 6 7 13} {2 6 7 8 10} {2 6 7 13 15} {2 6 8 9 10} {2 6 9 10 11} {2 6 12 13 14} {2 6 13 14 15} {2 8 9 10 13} {2 8 10 12 13} {2 9 10 11 13} {2 10 11 13 15} {2 10 12 13 14} {2 10 13 14 15} {3 4 5 7 11} {3 4 5 7 12} {3 4 6 7 11} {3 4 6 7 12} {3 5 7 10 11} {3 5 7 12 13} {3 6 7 9 11} {3 6 7 12 14} {3 7 8 9 11} {3 7 8 10 11} {3 7 12 13 15} {3 7 12 14 15} {3 8 9 11 12} {3 8 10 11 12} {3 9 11 12 13} {3 10 11 12 14} {3 11 12 13 15} {3 11 12 14 15} {4 5 6 9 13} {4 5 6 10 14} {4 5 7 8 12} {4 5 7 11 15} {4 5 8 10 12} {4 5 9 11 13} {4 5 10 12 14} {4 5 11 13 15} {4 6 7 8 12} {4 6 7 11 15} {4 6 8 9 12} {4 6 9 12 13} {4 6 10 11 14} {4 6 11 14 15} {4 8 9 11 12} {4 8 10 11 12} {4 9 11 12 13} {4 10 11 12 14} {4 11 12 13 15} {4 11 12 14 15} {5 6 7 9 13} {5 6 7 10 14} {5 7 8 9 13} {5 7 8 12 13} {5 7 10 11 15} {5 7 10 14 15} {5 8 9 10 13} {5 8 10 12 13} {5 9 10 11 13} {5 10 11 13 15} {5 10 12 13 14} {5 10 13 14 15} {6 7 8 10 14} {6 7 8 12 14} {6 7 9 11 15} {6 7 9 13 15} {6 8 9 10 14} {6 8 9 12 14} {6 9 10 11 14} {6 9 11 14 15} {6 9 12 13 14} {6 9 13 14 15} {7 8 9 11 15} {7 8 9 13 15} {7 8 10 11 15} {7 8 10 14 15} {7 8 12 13 15} {7 8 12 14 15} PURE 1 DIM 4 HOMOLOGY ({} 0) ({} 0) ({(2 5)} 6) ({} 0) ({} 1) CYCLES (<> <> ) (<> <> ) (<1 -1 1 1 -1 1 0 0 0 -2 2 -2 -1 1 -1 0 0 0 0 0 0 0 -1 1 -1 -1 1 0 -1 0 1 0 1 -1 1 0 -1 0 0 1 0 1 0 -1 -1 1 0 -1 1 0 0 -1 -1 1 -1 1 1 1 1 -1 (60) (3 1) (4 -1) (5 1) (6 -1) (7 1) (8 -1) (25 -1) (27 1) (28 -1) (35 1) (36 -1) (38 1) (60) (6 1) (7 -1) (8 1) (9 -1) (10 1) (11 -1) (27 -1) (29 1) (30 1) (31 -1) (35 -1) (37 1) (38 -1) (39 1) (40 -1) (45 1) (46 -1) (48 1) (49 -1) (50 1) (51 -1) (52 -1) (53 1) (57 1) (58 1) (59 -1) 0 0 0 0 0 0 -3 3 -3 3 -3 3 2 -2 0 1 -1 1 -1 0 1 1 0 -2 2 0 -2 3 0 -1 -3 1 -2 2 -2 3 0 -1 3 -3 1 -1 1 0 1 -2 1 1 -2 1 0 2 2 -2 1 -1 -1 -2 -2 2 (60) (6 1) (7 -1) (8 1) (9 -1) (10 1) (11 -1) (12 -1) (13 1) (15 -1) (16 1) (17 -1) (18 1) (19 1) (20 -1) (21 -1) (23 1) (24 -1) (26 1) (27 -1) (30 1) (32 1) (33 -1) (34 1) (35 -1) (38 -1) (39 1) (60) (9 -1) (10 1) (11 -1) (41 -1) (42 1) (54 1) (60) (9 -1) (10 1) (11 -1) (50 1) (53 -1) (59 1) (60) (9 -1) (10 1) (11 -1) (12 1) (13 -1) (19 1) (60) (9 -2) (10 2) (11 -2) (12 1) (13 -1) (15 1) (16 -1) (20 1) (44 -1) (45 1) (51 -1) (55 1) (57 1) (60) (9 -2) (10 2) (11 -2) (12 1) (13 -1) (17 1) (18 -1) (21 1) (47 -1) (48 1) (52 -1) (56 1) (58 1) (60) (9 -2) (10 2) (11 -2) (23 1) (24 -1) (26 1) (29 -1) (31 1) (47 -1) (49 1) (53 -1) (56 1) (59 1) > <{0 4 8} {0 4 15} {0 8 15} {1 5 9} {1 5 14} {1 9 14} {2 6 10} {2 6 13} {2 10 13} {3 7 11} {3 7 12} {3 11 12} {4 7 11} {4 7 12} {4 8 12} {4 9 12} {4 9 13} {4 10 12} {4 10 14} {4 11 12} {4 11 13} {4 11 14} {4 11 15} {5 7 11} {5 7 12} {5 9 13} {5 10 12} {5 10 13} {5 10 14} {5 10 15} {5 11 13} {5 11 15} {6 7 11} {6 7 12} {6 9 12} {6 9 13} {6 9 14} {6 9 15} {6 10 14} {6 11 14} {6 11 15} {7 8 11} {7 8 12} {7 8 15} {7 9 11} {7 9 13} {7 9 15} {7 10 11} {7 10 14} {7 10 15} {7 11 15} {7 12 13} {7 12 14} {7 12 15} {8 11 12} {9 11 12} {10 11 12} {11 12 13} {11 12 14} {11 12 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 > <{0 1 2 5 10} {0 1 2 5 13} {0 1 2 6 9} {0 1 2 6 14} {0 1 2 9 13} {0 1 2 10 14} {0 1 3 4 11} {0 1 3 4 12} {0 1 3 7 8} {0 1 3 7 15} {0 1 3 8 12} {0 1 3 11 15} {0 1 4 6 9} {0 1 4 6 14} {0 1 4 9 11} {0 1 4 12 14} {0 1 5 7 8} {0 1 5 7 15} {0 1 5 8 10} {0 1 5 13 15} {0 1 8 10 14} {0 1 8 12 14} {0 1 9 11 15} {0 1 9 13 15} {0 2 3 4 11} {0 2 3 4 12} {0 2 3 7 8} {0 2 3 7 15} {0 2 3 8 12} {0 2 3 11 15} {0 2 4 5 10} {0 2 4 5 13} {0 2 4 10 11} {0 2 4 12 13} {0 2 6 7 8} {0 2 6 7 15} {0 2 6 8 9} {0 2 6 14 15} {0 2 8 9 13} {0 2 8 12 13} {0 2 10 11 15} {0 2 10 14 15} {0 4 5 7 8} {0 4 5 7 15} {0 4 5 8 10} {0 4 5 13 15} {0 4 6 7 8} {0 4 6 7 15} {0 4 6 8 9} {0 4 6 14 15} {0 4 8 9 11} {0 4 8 10 11} {0 4 12 13 15} {0 4 12 14 15} {0 8 9 11 15} {0 8 9 13 15} {0 8 10 11 15} {0 8 10 14 15} {0 8 12 13 15} {0 8 12 14 15} {1 2 3 5 10} {1 2 3 5 13} {1 2 3 6 9} {1 2 3 6 14} {1 2 3 9 13} {1 2 3 10 14} {1 3 4 5 11} {1 3 4 5 12} {1 3 5 10 11} {1 3 5 12 13} {1 3 6 7 9} {1 3 6 7 14} {1 3 7 8 9} {1 3 7 14 15} {1 3 8 9 12} {1 3 9 12 13} {1 3 10 11 14} {1 3 11 14 15} {1 4 5 6 9} {1 4 5 6 14} {1 4 5 9 11} {1 4 5 12 14} {1 5 6 7 9} {1 5 6 7 14} {1 5 7 8 9} {1 5 7 14 15} {1 5 8 9 10} {1 5 9 10 11} {1 5 12 13 14} {1 5 13 14 15} {1 8 9 10 14} {1 8 9 12 14} {1 9 10 11 14} {1 9 11 14 15} {1 9 12 13 14} {1 9 13 14 15} {2 3 4 6 11} {2 3 4 6 12} {2 3 5 7 10} {2 3 5 7 13} {2 3 6 9 11} {2 3 6 12 14} {2 3 7 8 10} {2 3 7 13 15} {2 3 8 10 12} {2 3 9 11 13} {2 3 10 12 14} {2 3 11 13 15} {2 4 5 6 10} {2 4 5 6 13} {2 4 6 10 11} {2 4 6 12 13} {2 5 6 7 10} {2 5 6 7 13} {2 6 7 8 10} {2 6 7 13 15} {2 6 8 9 10} {2 6 9 10 11} {2 6 12 13 14} {2 6 13 14 15} {2 8 9 10 13} {2 8 10 12 13} {2 9 10 11 13} {2 10 11 13 15} {2 10 12 13 14} {2 10 13 14 15} {3 4 5 7 11} {3 4 5 7 12} {3 4 6 7 11} {3 4 6 7 12} {3 5 7 10 11} {3 5 7 12 13} {3 6 7 9 11} {3 6 7 12 14} {3 7 8 9 11} {3 7 8 10 11} {3 7 12 13 15} {3 7 12 14 15} {3 8 9 11 12} {3 8 10 11 12} {3 9 11 12 13} {3 10 11 12 14} {3 11 12 13 15} {3 11 12 14 15} {4 5 6 9 13} {4 5 6 10 14} {4 5 7 8 12} {4 5 7 11 15} {4 5 8 10 12} {4 5 9 11 13} {4 5 10 12 14} {4 5 11 13 15} {4 6 7 8 12} {4 6 7 11 15} {4 6 8 9 12} {4 6 9 12 13} {4 6 10 11 14} {4 6 11 14 15} {4 8 9 11 12} {4 8 10 11 12} {4 9 11 12 13} {4 10 11 12 14} {4 11 12 13 15} {4 11 12 14 15} {5 6 7 9 13} {5 6 7 10 14} {5 7 8 9 13} {5 7 8 12 13} {5 7 10 11 15} {5 7 10 14 15} {5 8 9 10 13} {5 8 10 12 13} {5 9 10 11 13} {5 10 11 13 15} {5 10 12 13 14} {5 10 13 14 15} {6 7 8 10 14} {6 7 8 12 14} {6 7 9 11 15} {6 7 9 13 15} {6 8 9 10 14} {6 8 9 12 14} {6 9 10 11 14} {6 9 11 14 15} {6 9 12 13 14} {6 9 13 14 15} {7 8 9 11 15} {7 8 9 13 15} {7 8 10 11 15} {7 8 10 14 15} {7 8 12 13 15} {7 8 12 14 15} > ) COHOMOLOGY ({} 0) ({} 0) ({} 6) ({(2 5)} 0) ({} 1) COCYCLES (<> <> ) (<> <> ) (<(145) (0 1) (1 -1) (4 1) (5 -1) (7 1) (8 1) (9 1) (10 1) (11 1) (12 1) (13 1) (18 -1) (19 1) (22 -1) (25 1) (27 1) (28 1) (29 -1) (30 -1) (32 -1) (35 1) (36 1) (37 -1) (38 -1) (41 1) (43 -1) (44 -1) (45 -1) (46 -1) (47 -1) (48 1) (49 1) (50 1) (51 1) (56 1) (58 -1) (67 1) (68 1) (71 1) (74 1) (75 1) (79 -1) (80 -1) (81 -1) (84 -1) (85 -1) (88 -1) (91 -1) (92 -1) (97 1) (98 1) (99 1) (127 1) (130 -1) (131 -1) (134 1) (135 1) (143 -1) (145) (13 -1) (14 -1) (15 -1) (19 -1) (20 -1) (21 -1) (23 -1) (24 -1) (25 -1) (39 -1) (40 -1) (41 -1) (48 -1) (49 -1) (50 -1) (51 -1) (52 -1) (53 -1) (58 1) (61 1) (62 1) (64 -1) (65 -1) (66 -1) (67 -1) (68 -1) (69 -1) (77 1) (78 1) (80 1) (88 1) (92 1) (93 1) (99 -1) (100 -1) (101 -1) (105 1) (106 1) (110 1) (117 -1) (118 -1) (119 -1) (135 -1) (136 -1) (137 -1) (139 -1) (140 -1) (141 -1) -1 1 0 0 -1 1 0 -1 -1 -1 -1 -1 -1 0 1 1 -1 -1 0 -1 0 0 1 1 1 0 0 -1 -1 1 1 0 0 -1 -1 -1 -1 1 1 0 0 -1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 -1 -1 0 0 0 1 1 1 0 0 1 1 0 -1 1 0 -1 0 1 0 0 0 1 0 0 -1 0 0 0 -1 -1 0 0 0 0 -1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 -1 -1 -1 -1 -1 -1 0 1 0 0 -1 -1 0 0 0 0 0 0 0 1 0 (145) (1 -1) (2 -1) (5 -1) (6 -1) (14 -1) (20 -1) (22 -1) (24 -1) (26 -1) (38 -1) (40 -1) (42 -1) (43 -1) (44 -1) (45 -1) (46 -1) (47 -1) (52 -1) (53 -1) (56 1) (60 1) (62 1) (63 -1) (64 -1) (65 -1) (71 1) (75 1) (77 1) (81 -1) (82 -1) (83 -1) (84 -1) (85 -1) (86 -1) (93 1) (95 1) (98 1) (100 -1) (105 1) (107 1) (113 1) (116 -1) (118 -1) (120 -1) (131 -1) (132 -1) (136 -1) (138 -1) (140 -1) (142 -1) (143 -1) (144 -1) (145) (1 1) (2 1) (3 -1) (4 -1) (14 1) (17 -1) (22 1) (24 1) (26 1) (31 -1) (33 -1) (35 -1) (43 1) (44 1) (45 1) (46 1) (47 1) (52 1) (53 1) (54 1) (57 1) (58 1) (63 1) (64 1) (65 1) (70 -1) (73 1) (74 -1) (79 1) (80 1) (83 1) (84 1) (85 1) (86 1) (88 1) (89 1) (90 -1) (96 1) (102 -1) (104 -1) (110 1) (111 1) (112 -1) (115 1) (121 -1) (122 -1) (123 -1) (126 -1) (127 -1) (128 -1) (133 -1) (134 -1) 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 1 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 -1 0 -1 1 0 0 -1 0 0 0 0 0 0 0 1 -1 0 -1 1 0 1 -1 0 0 -1 1 1 0 0 0 0 1 -1 0 2 1 0 -1 1 0 -1 0 -1 1 2 1 1 1 2 -1 0 0 1 1 -1 0 1 -1 0 -1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 > <{1 2 3} {1 4 5} {1 6 7} {1 8 9} {1 10 11} {1 12 13} {1 14 15} {2 3 5} {2 3 6} {2 3 9} {2 3 10} {2 3 13} {2 3 14} {2 4 6} {2 5 6} {2 5 7} {2 8 10} {2 9 10} {2 9 11} {2 12 14} {2 13 14} {2 13 15} {3 4 5} {3 4 6} {3 4 7} {3 5 7} {3 6 7} {3 6 11} {3 6 12} {3 7 10} {3 7 13} {3 8 9} {3 8 10} {3 8 11} {3 9 11} {3 10 11} {3 10 12} {3 11 13} {3 12 13} {3 12 14} {3 12 15} {3 13 15} {3 14 15} {4 5 6} {4 5 9} {4 5 11} {4 5 12} {4 5 14} {4 6 10} {4 6 11} {4 6 12} {4 6 13} {4 7 11} {4 7 12} {4 8 12} {4 9 12} {4 9 13} {4 10 12} {4 10 14} {4 11 12} {4 11 13} {4 11 14} {4 11 15} {5 6 7} {5 6 10} {5 6 13} {5 7 10} {5 7 11} {5 7 12} {5 7 13} {5 8 9} {5 8 12} {5 8 13} {5 9 13} {5 10 11} {5 10 12} {5 10 13} {5 10 14} {5 10 15} {5 11 13} {5 11 15} {5 12 13} {5 14 15} {6 7 9} {6 7 11} {6 7 12} {6 7 14} {6 8 10} {6 8 12} {6 8 14} {6 9 10} {6 9 11} {6 9 12} {6 9 13} {6 9 14} {6 9 15} {6 10 14} {6 11 14} {6 11 15} {6 12 14} {6 13 14} {6 13 15} {7 8 9} {7 8 10} {7 8 11} {7 8 12} {7 8 13} {7 8 14} {7 8 15} {7 9 11} {7 9 13} {7 9 15} {7 10 11} {7 10 14} {7 10 15} {7 11 15} {7 12 13} {7 12 14} {7 12 15} {7 13 15} {7 14 15} {8 9 10} {8 9 12} {8 9 14} {8 10 12} {8 10 13} {8 11 12} {9 10 11} {9 10 13} {9 11 12} {9 11 13} {9 12 13} {9 14 15} {10 11 12} {10 11 14} {10 12 14} {10 13 14} {10 13 15} {11 12 13} {11 12 14} {11 12 15} {11 13 15} {11 14 15} {12 13 14} {13 14 15} > ) (<(34) (8 1) (9 1) (10 -1) (11 1) (23 1) (25 1) (27 1) (30 1) (34) (2 -1) (7 1) (17 1) (18 1) (19 1) (25 1) (26 1) (29 1) (31 -1) (33 -1) 0 1 2 0 0 -1 -1 -1 0 0 0 0 0 0 0 0 0 -1 -1 -1 1 1 0 0 0 -1 -1 1 0 -1 0 2 -1 2 -1 0 1 1 1 0 0 -1 0 0 0 0 1 -1 0 0 0 -1 -1 -1 0 1 1 0 -1 -1 -1 1 1 -1 0 1 0 1 1 1 2 -1 -1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 0 -1 -1 1 0 -1 1 2 1 0 1 -1 0 1 2 -1 2 > <{3 4 6 7} {3 8 10 11} {3 12 14 15} {4 6 7 11} {4 6 7 12} {4 10 11 12} {4 11 12 14} {4 11 14 15} {5 8 12 13} {5 10 12 13} {5 10 13 14} {5 10 14 15} {6 7 8 12} {6 7 11 15} {6 8 12 14} {6 9 12 14} {6 9 13 14} {6 9 13 15} {6 9 14 15} {6 11 14 15} {7 8 10 11} {7 8 10 15} {7 8 11 15} {7 8 12 13} {7 8 12 14} {7 8 12 15} {7 8 13 15} {7 8 14 15} {7 9 11 15} {7 9 13 15} {7 10 14 15} {7 12 14 15} {8 10 11 12} {11 12 14 15} > ) (<1 > <{7 8 12 14 15} > ) INTERSECTION_FORM 0 (3 3)