_application topaz _version 2.3 _type SimplicialComplex FACETS {0 1 2 4 12} {0 1 2 4 14} {0 1 2 12 14} {0 1 3 6 13} {0 1 3 6 16} {0 1 3 10 11} {0 1 3 10 16} {0 1 3 11 13} {0 1 4 6 12} {0 1 4 6 15} {0 1 4 14 15} {0 1 6 12 16} {0 1 6 13 15} {0 1 7 10 14} {0 1 7 10 16} {0 1 7 12 14} {0 1 7 12 16} {0 1 10 11 14} {0 1 11 13 15} {0 1 11 14 15} {0 2 3 6 7} {0 2 3 6 13} {0 2 3 7 15} {0 2 3 13 15} {0 2 4 5 9} {0 2 4 5 12} {0 2 4 6 8} {0 2 4 6 9} {0 2 4 8 14} {0 2 5 8 9} {0 2 5 8 14} {0 2 5 12 14} {0 2 6 7 9} {0 2 6 8 15} {0 2 6 13 15} {0 2 7 9 15} {0 2 8 9 15} {0 3 5 9 11} {0 3 5 9 12} {0 3 5 10 11} {0 3 5 10 16} {0 3 5 12 14} {0 3 5 14 16} {0 3 6 7 14} {0 3 6 14 16} {0 3 7 11 12} {0 3 7 11 13} {0 3 7 12 14} {0 3 7 13 15} {0 3 9 11 12} {0 4 5 9 12} {0 4 6 7 9} {0 4 6 7 10} {0 4 6 8 15} {0 4 6 10 12} {0 4 7 9 10} {0 4 8 14 15} {0 4 9 10 12} {0 5 8 9 14} {0 5 9 10 11} {0 5 9 10 16} {0 5 9 14 16} {0 6 7 10 14} {0 6 10 11 12} {0 6 10 11 14} {0 6 11 12 16} {0 6 11 14 16} {0 7 8 11 12} {0 7 8 11 13} {0 7 8 12 15} {0 7 8 13 15} {0 7 9 10 15} {0 7 10 15 16} {0 7 12 15 16} {0 8 9 14 16} {0 8 9 15 16} {0 8 11 12 16} {0 8 11 13 15} {0 8 11 14 15} {0 8 11 14 16} {0 8 12 15 16} {0 9 10 11 12} {0 9 10 15 16} {1 2 4 5 9} {1 2 4 5 12} {1 2 4 9 14} {1 2 5 8 9} {1 2 5 8 13} {1 2 5 11 12} {1 2 5 11 13} {1 2 6 8 13} {1 2 6 8 15} {1 2 6 13 15} {1 2 8 9 15} {1 2 9 12 14} {1 2 9 12 15} {1 2 11 12 15} {1 2 11 13 15} {1 3 4 5 9} {1 3 4 5 11} {1 3 4 9 14} {1 3 4 11 15} {1 3 4 14 15} {1 3 5 9 11} {1 3 6 8 13} {1 3 6 8 16} {1 3 7 9 11} {1 3 7 9 13} {1 3 7 11 13} {1 3 8 10 13} {1 3 8 10 16} {1 3 9 10 13} {1 3 9 10 14} {1 3 10 11 14} {1 3 11 14 15} {1 4 5 11 12} {1 4 6 12 15} {1 4 11 12 15} {1 5 7 8 10} {1 5 7 8 13} {1 5 7 10 16} {1 5 7 11 13} {1 5 7 11 16} {1 5 8 9 11} {1 5 8 10 16} {1 5 8 11 16} {1 6 7 9 12} {1 6 7 9 16} {1 6 7 12 16} {1 6 8 9 15} {1 6 8 9 16} {1 6 9 12 15} {1 7 8 10 14} {1 7 8 13 14} {1 7 9 11 16} {1 7 9 12 13} {1 7 12 13 14} {1 8 9 11 16} {1 8 10 13 14} {1 9 10 13 14} {1 9 12 13 14} {2 3 4 7 8} {2 3 4 7 16} {2 3 4 8 16} {2 3 5 6 7} {2 3 5 6 13} {2 3 5 7 16} {2 3 5 13 14} {2 3 5 14 16} {2 3 7 8 12} {2 3 7 9 11} {2 3 7 9 15} {2 3 7 11 12} {2 3 8 12 16} {2 3 9 11 12} {2 3 9 12 16} {2 3 9 15 16} {2 3 13 14 15} {2 3 14 15 16} {2 4 6 8 11} {2 4 6 9 11} {2 4 7 8 14} {2 4 7 14 16} {2 4 8 11 16} {2 4 9 11 14} {2 4 10 11 14} {2 4 10 11 15} {2 4 10 14 16} {2 4 10 15 16} {2 4 11 15 16} {2 5 6 7 8} {2 5 6 8 13} {2 5 7 8 14} {2 5 7 14 16} {2 5 11 12 13} {2 5 12 13 14} {2 6 7 8 11} {2 6 7 9 11} {2 7 8 11 12} {2 8 11 12 16} {2 9 11 12 14} {2 9 12 15 16} {2 10 11 14 15} {2 10 14 15 16} {2 11 12 13 14} {2 11 12 15 16} {2 11 13 14 15} {3 4 5 6 7} {3 4 5 6 9} {3 4 5 7 16} {3 4 5 8 11} {3 4 5 8 16} {3 4 6 7 14} {3 4 6 9 14} {3 4 7 8 14} {3 4 8 10 11} {3 4 8 10 12} {3 4 8 12 14} {3 4 10 11 15} {3 4 10 12 15} {3 4 12 14 15} {3 5 6 9 12} {3 5 6 12 13} {3 5 8 10 11} {3 5 8 10 16} {3 5 12 13 14} {3 6 8 9 12} {3 6 8 9 16} {3 6 8 10 12} {3 6 8 10 13} {3 6 9 14 16} {3 6 10 12 13} {3 7 8 12 14} {3 7 9 10 13} {3 7 9 10 15} {3 7 10 13 15} {3 8 9 12 16} {3 9 10 14 15} {3 9 14 15 16} {3 10 11 14 15} {3 10 12 13 15} {3 12 13 14 15} {4 5 6 7 9} {4 5 7 9 12} {4 5 7 12 16} {4 5 8 11 16} {4 5 11 12 16} {4 6 7 10 14} {4 6 8 10 11} {4 6 8 10 12} {4 6 8 12 15} {4 6 9 11 14} {4 6 10 11 14} {4 7 9 10 12} {4 7 10 12 15} {4 7 10 14 16} {4 7 10 15 16} {4 7 12 15 16} {4 8 12 14 15} {4 11 12 15 16} {5 6 7 8 13} {5 6 7 9 12} {5 6 7 11 13} {5 6 7 11 16} {5 6 7 12 16} {5 6 11 12 13} {5 6 11 12 16} {5 7 8 10 14} {5 7 10 14 16} {5 8 9 10 11} {5 8 9 10 14} {5 9 10 14 16} {6 7 8 11 13} {6 7 9 11 16} {6 8 9 12 15} {6 8 10 11 13} {6 9 11 14 16} {6 10 11 12 13} {7 8 12 14 15} {7 8 13 14 15} {7 9 10 12 13} {7 10 12 13 15} {7 12 13 14 15} {8 9 10 11 13} {8 9 10 13 14} {8 9 11 13 14} {8 9 11 14 16} {8 9 12 15 16} {8 11 13 14 15} {9 10 11 12 13} {9 10 14 15 16} {9 11 12 13 14} PURE 1 DIM 4 HOMOLOGY ({} 0) ({} 0) ({} 16) ({} 0) ({} 1) CYCLES (<> <> ) (<> <> ) (<(93) (23 1) (24 -1) (27 1) (38 1) (39 -1) (47 -1) (56 -1) (65 1) (93) (3 -1) (4 1) (5 1) (6 -1) (7 1) (8 -1) (9 -1) (10 1) (11 1) (12 -1) (13 1) (14 -1) (15 1) (16 -1) (17 1) (19 -2) (21 1) (29 1) (31 -1) (32 1) (33 -1) (34 1) (35 -1) (36 -1) (38 1) (39 -1) (41 1) (42 1) (45 -1) (49 -1) (50 1) (56 -1) (63 -1) (67 1) (79 1) 0 0 0 -1 1 1 -1 1 -1 -1 1 1 -1 1 0 0 0 0 2 -2 -2 2 -2 -1 1 1 0 -2 0 1 -1 0 1 -1 1 -1 -1 0 -1 1 0 0 -1 0 0 1 -1 1 -1 -2 2 0 0 -2 0 -2 1 2 0 -2 2 0 2 1 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 -1 0 -1 0 0 1 -1 0 1 0 0 0 -1 (93) (0 -1) (1 1) (2 -1) (18 1) (19 -1) (20 -1) (21 1) (22 -1) (23 -1) (24 1) (27 -1) (34 1) (35 -1) (37 1) (38 -1) (39 1) (42 -1) (45 1) (46 -1) (47 1) (48 -1) (49 -1) (50 1) (53 -1) (55 -1) (56 1) (57 1) (59 -1) (60 1) (62 1) (63 1) (74 1) (77 1) (85 1) (86 -1) (92 -1) 0 0 0 -1 1 1 -1 1 -1 -1 1 1 -1 1 -1 1 0 0 1 -2 -1 2 -1 -1 1 1 0 -2 0 1 -1 -1 2 -2 1 -1 -2 0 -1 1 0 0 -1 0 0 1 0 0 0 -1 1 -1 0 -2 0 -2 1 2 0 -2 2 0 2 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 (93) (0 -1) (1 1) (2 -1) (83 1) (93) (18 1) (19 -1) (20 -1) (21 1) (22 -1) (34 1) (35 -1) (37 1) (49 -1) (50 1) (53 -1) (89 1) (91 1) (92 -1) (93) (18 1) (19 -1) (20 -1) (21 1) (22 -1) (23 -1) (24 1) (27 -1) (34 1) (35 -1) (37 1) (38 -1) (39 1) (42 -1) (45 1) (49 -1) (50 1) (51 -1) (53 -2) (55 -1) (56 1) (57 1) (59 -1) (60 1) (62 1) (63 1) (74 1) (90 1) (92 -1) (93) (23 1) (24 -1) (27 1) (38 1) (39 -1) (42 1) (43 -1) (55 1) (56 -1) (57 -1) (58 1) (63 -1) (93) (18 -1) (19 1) (20 1) (21 -1) (22 1) (23 1) (24 -1) (27 1) (38 1) (39 -1) (42 1) (45 -1) (49 1) (50 -1) (52 1) (53 1) (55 1) (56 -1) (57 -1) (59 1) (60 -1) (62 -1) (63 -1) (74 -1) (93) (18 -1) (19 1) (20 1) (21 -1) (22 1) (39 -1) (40 1) (42 1) (45 -1) (49 1) (50 -1) (53 1) (55 1) (56 -1) (59 1) (60 -1) (61 1) (62 -1) (63 -1) (74 -1) (93) (0 -1) (1 1) (2 -1) (18 2) (19 -2) (20 -2) (21 2) (22 -2) (23 -1) (24 1) (26 1) (27 -2) (28 -1) (29 1) (34 1) (35 -2) (37 1) (38 -1) (39 1) (42 -1) (43 1) (49 -2) (50 2) (53 -2) (55 -1) (56 1) (57 1) (59 -1) (60 1) (62 1) (63 1) (68 -1) (70 1) (71 1) (74 1) (84 1) (91 1) (92 -1) (93) (18 1) (19 -1) (20 -1) (21 1) (22 -1) (26 1) (27 -1) (28 -1) (29 1) (35 -1) (49 -1) (50 1) (53 -1) (55 -1) (57 1) (59 -1) (60 1) (62 1) (64 1) (68 -1) (72 1) (74 1) (93) (3 -1) (4 1) (5 1) (6 -1) (7 1) (8 -1) (9 -1) (10 1) (11 1) (12 -1) (13 1) (14 -1) (15 1) (16 -1) (17 1) (19 -2) (21 1) (29 1) (31 -1) (32 1) (33 -1) (34 1) (35 -1) (36 -1) (49 -1) (50 1) (53 -1) (55 -1) (57 1) (59 -1) (60 1) (62 1) (66 1) (69 1) (70 -1) (74 1) (87 -1) (93) (49 -1) (50 1) (53 -1) (81 1) (82 -1) (84 1) (87 -1) (88 1) (91 1) (92 -1) (93) (44 1) (45 -1) (54 1) (73 1) (74 -1) (92 -1) > <{0 10 12} {0 10 15} {0 12 15} {1 3 7} {1 3 15} {1 6 7} {1 6 9} {1 8 11} {1 8 14} {1 9 16} {1 11 16} {1 12 13} {1 12 15} {1 13 14} {2 3 11} {2 3 12} {2 9 11} {2 9 16} {2 11 14} {2 11 16} {2 12 13} {2 12 16} {2 13 14} {3 4 6} {3 4 12} {3 6 9} {3 6 10} {3 6 12} {3 7 10} {3 7 16} {3 8 9} {3 8 11} {3 8 14} {3 12 13} {3 12 15} {3 12 16} {3 13 14} {3 15 16} {4 5 6} {4 5 8} {4 5 16} {4 6 14} {4 7 8} {4 7 12} {4 7 15} {4 7 16} {4 8 10} {4 8 12} {4 10 16} {4 11 14} {4 11 16} {4 12 14} {4 12 16} {4 14 16} {4 15 16} {5 6 7} {5 6 8} {5 6 12} {5 7 12} {5 7 14} {5 12 13} {5 12 16} {5 13 14} {6 7 8} {6 7 13} {6 8 12} {6 9 11} {6 9 14} {6 10 13} {6 11 13} {6 12 13} {7 10 12} {7 10 13} {7 14 15} {7 14 16} {8 9 12} {8 10 11} {8 10 12} {8 12 14} {9 11 14} {9 12 16} {10 11 13} {10 11 15} {10 12 15} {10 13 15} {10 14 15} {10 14 16} {11 13 14} {11 15 16} {12 13 15} {12 14 15} {13 14 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 1 1 -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 4 12} {0 1 2 4 14} {0 1 2 12 14} {0 1 3 6 13} {0 1 3 6 16} {0 1 3 10 11} {0 1 3 10 16} {0 1 3 11 13} {0 1 4 6 12} {0 1 4 6 15} {0 1 4 14 15} {0 1 6 12 16} {0 1 6 13 15} {0 1 7 10 14} {0 1 7 10 16} {0 1 7 12 14} {0 1 7 12 16} {0 1 10 11 14} {0 1 11 13 15} {0 1 11 14 15} {0 2 3 6 7} {0 2 3 6 13} {0 2 3 7 15} {0 2 3 13 15} {0 2 4 5 9} {0 2 4 5 12} {0 2 4 6 8} {0 2 4 6 9} {0 2 4 8 14} {0 2 5 8 9} {0 2 5 8 14} {0 2 5 12 14} {0 2 6 7 9} {0 2 6 8 15} {0 2 6 13 15} {0 2 7 9 15} {0 2 8 9 15} {0 3 5 9 11} {0 3 5 9 12} {0 3 5 10 11} {0 3 5 10 16} {0 3 5 12 14} {0 3 5 14 16} {0 3 6 7 14} {0 3 6 14 16} {0 3 7 11 12} {0 3 7 11 13} {0 3 7 12 14} {0 3 7 13 15} {0 3 9 11 12} {0 4 5 9 12} {0 4 6 7 9} {0 4 6 7 10} {0 4 6 8 15} {0 4 6 10 12} {0 4 7 9 10} {0 4 8 14 15} {0 4 9 10 12} {0 5 8 9 14} {0 5 9 10 11} {0 5 9 10 16} {0 5 9 14 16} {0 6 7 10 14} {0 6 10 11 12} {0 6 10 11 14} {0 6 11 12 16} {0 6 11 14 16} {0 7 8 11 12} {0 7 8 11 13} {0 7 8 12 15} {0 7 8 13 15} {0 7 9 10 15} {0 7 10 15 16} {0 7 12 15 16} {0 8 9 14 16} {0 8 9 15 16} {0 8 11 12 16} {0 8 11 13 15} {0 8 11 14 15} {0 8 11 14 16} {0 8 12 15 16} {0 9 10 11 12} {0 9 10 15 16} {1 2 4 5 9} {1 2 4 5 12} {1 2 4 9 14} {1 2 5 8 9} {1 2 5 8 13} {1 2 5 11 12} {1 2 5 11 13} {1 2 6 8 13} {1 2 6 8 15} {1 2 6 13 15} {1 2 8 9 15} {1 2 9 12 14} {1 2 9 12 15} {1 2 11 12 15} {1 2 11 13 15} {1 3 4 5 9} {1 3 4 5 11} {1 3 4 9 14} {1 3 4 11 15} {1 3 4 14 15} {1 3 5 9 11} {1 3 6 8 13} {1 3 6 8 16} {1 3 7 9 11} {1 3 7 9 13} {1 3 7 11 13} {1 3 8 10 13} {1 3 8 10 16} {1 3 9 10 13} {1 3 9 10 14} {1 3 10 11 14} {1 3 11 14 15} {1 4 5 11 12} {1 4 6 12 15} {1 4 11 12 15} {1 5 7 8 10} {1 5 7 8 13} {1 5 7 10 16} {1 5 7 11 13} {1 5 7 11 16} {1 5 8 9 11} {1 5 8 10 16} {1 5 8 11 16} {1 6 7 9 12} {1 6 7 9 16} {1 6 7 12 16} {1 6 8 9 15} {1 6 8 9 16} {1 6 9 12 15} {1 7 8 10 14} {1 7 8 13 14} {1 7 9 11 16} {1 7 9 12 13} {1 7 12 13 14} {1 8 9 11 16} {1 8 10 13 14} {1 9 10 13 14} {1 9 12 13 14} {2 3 4 7 8} {2 3 4 7 16} {2 3 4 8 16} {2 3 5 6 7} {2 3 5 6 13} {2 3 5 7 16} {2 3 5 13 14} {2 3 5 14 16} {2 3 7 8 12} {2 3 7 9 11} {2 3 7 9 15} {2 3 7 11 12} {2 3 8 12 16} {2 3 9 11 12} {2 3 9 12 16} {2 3 9 15 16} {2 3 13 14 15} {2 3 14 15 16} {2 4 6 8 11} {2 4 6 9 11} {2 4 7 8 14} {2 4 7 14 16} {2 4 8 11 16} {2 4 9 11 14} {2 4 10 11 14} {2 4 10 11 15} {2 4 10 14 16} {2 4 10 15 16} {2 4 11 15 16} {2 5 6 7 8} {2 5 6 8 13} {2 5 7 8 14} {2 5 7 14 16} {2 5 11 12 13} {2 5 12 13 14} {2 6 7 8 11} {2 6 7 9 11} {2 7 8 11 12} {2 8 11 12 16} {2 9 11 12 14} {2 9 12 15 16} {2 10 11 14 15} {2 10 14 15 16} {2 11 12 13 14} {2 11 12 15 16} {2 11 13 14 15} {3 4 5 6 7} {3 4 5 6 9} {3 4 5 7 16} {3 4 5 8 11} {3 4 5 8 16} {3 4 6 7 14} {3 4 6 9 14} {3 4 7 8 14} {3 4 8 10 11} {3 4 8 10 12} {3 4 8 12 14} {3 4 10 11 15} {3 4 10 12 15} {3 4 12 14 15} {3 5 6 9 12} {3 5 6 12 13} {3 5 8 10 11} {3 5 8 10 16} {3 5 12 13 14} {3 6 8 9 12} {3 6 8 9 16} {3 6 8 10 12} {3 6 8 10 13} {3 6 9 14 16} {3 6 10 12 13} {3 7 8 12 14} {3 7 9 10 13} {3 7 9 10 15} {3 7 10 13 15} {3 8 9 12 16} {3 9 10 14 15} {3 9 14 15 16} {3 10 11 14 15} {3 10 12 13 15} {3 12 13 14 15} {4 5 6 7 9} {4 5 7 9 12} {4 5 7 12 16} {4 5 8 11 16} {4 5 11 12 16} {4 6 7 10 14} {4 6 8 10 11} {4 6 8 10 12} {4 6 8 12 15} {4 6 9 11 14} {4 6 10 11 14} {4 7 9 10 12} {4 7 10 12 15} {4 7 10 14 16} {4 7 10 15 16} {4 7 12 15 16} {4 8 12 14 15} {4 11 12 15 16} {5 6 7 8 13} {5 6 7 9 12} {5 6 7 11 13} {5 6 7 11 16} {5 6 7 12 16} {5 6 11 12 13} {5 6 11 12 16} {5 7 8 10 14} {5 7 10 14 16} {5 8 9 10 11} {5 8 9 10 14} {5 9 10 14 16} {6 7 8 11 13} {6 7 9 11 16} {6 8 9 12 15} {6 8 10 11 13} {6 9 11 14 16} {6 10 11 12 13} {7 8 12 14 15} {7 8 13 14 15} {7 9 10 12 13} {7 10 12 13 15} {7 12 13 14 15} {8 9 10 11 13} {8 9 10 13 14} {8 9 11 13 14} {8 9 11 14 16} {8 9 12 15 16} {8 11 13 14 15} {9 10 11 12 13} {9 10 14 15 16} {9 11 12 13 14} > ) COHOMOLOGY ({} 0) ({} 0) ({} 16) ({} 0) ({} 1) COCYCLES (<> <> ) (<> <> ) (<(246) (0 -1) (1 -1) (2 -1) (3 1) (5 1) (7 1) (9 -1) (11 -1) (12 1) (15 1) (18 -1) (21 -1) (24 -1) (25 -1) (27 -1) (29 1) (30 1) (32 -1) (34 -2) (36 -2) (37 -1) (39 1) (40 -2) (41 -1) (42 1) (43 -1) (44 1) (46 -2) (47 -1) (48 -2) (49 -1) (50 -1) (51 -1) (52 -1) (54 1) (55 2) (56 -2) (57 -1) (59 1) (60 -2) (62 -1) (64 1) (65 1) (66 2) (67 1) (68 3) (69 -1) (70 1) (71 2) (72 1) (73 -1) (75 1) (76 -1) (79 1) (80 -1) (84 -1) (85 -1) (87 1) (89 1) (90 1) (91 -1) (94 1) (96 1) (97 -1) (98 -1) (100 -1) (102 -1) (104 1) (105 1) (106 1) (108 1) (111 -1) (113 -1) (114 -1) (115 -1) (116 1) (117 1) (118 -1) (119 1) (120 -1) (122 -2) (123 -1) (132 1) (133 1) (135 2) (142 1) (144 1) (150 -1) (151 -1) (154 -1) (159 1) (170 -1) (172 -2) (174 2) (175 -1) (177 -1) (179 -1) (180 1) (181 1) (182 1) (184 1) (185 1) (187 -1) (189 -1) (193 -1) (199 1) (200 1) (202 1) (203 1) (213 1) (224 -1) (225 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