Yet Another Knot Database

6,675,982 rows · 100 per page · Row type: OrientedKnotRow

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
3_1 # mr11n_1163_1 # mr11n_1163_1 # mr11n_116NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [22, 28, 21, 7], [17, 9, 16, 10], [9, 17, 8, 18], [16, 23, 15, 22], [14, 25, 13, 24], [24, 15, 23, 14], [19, 25, 18, 26], [12, 20, 11, 21], [27, 19, 26, 20], [28, 13, 27, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_116","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1173_1 # 11n_1173_1 # 11n_117NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [13, 25, 14, 24], [23, 15, 24, 14], [25, 19, 26, 18], [11, 20, 12, 21], [19, 27, 20, 26], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_117","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1173_1 # m11n_1173_1 # m11n_117NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [13, 24, 14, 25], [23, 14, 24, 15], [25, 18, 26, 19], [11, 21, 12, 20], [19, 26, 20, 27], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_117","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1183_1 # 11n_1183_1 # 11n_118NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 15, 22, 14], [26, 14, 27, 13], [27, 18, 28, 19], [19, 24, 20, 25], [12, 26, 13, 25], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_118","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1183_1 # m11n_1183_1 # m11n_118NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 14, 22, 15], [26, 13, 27, 14], [27, 19, 28, 18], [19, 25, 20, 24], [12, 25, 13, 26], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_118","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1193_1 # 11n_1193_1 # 11n_119NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [20, 11, 21, 12], [14, 21, 15, 22], [13, 26, 14, 27], [18, 28, 19, 27], [24, 20, 25, 19], [25, 12, 26, 13], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_119","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1193_1 # m11n_1193_1 # m11n_119NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [20, 12, 21, 11], [14, 22, 15, 21], [13, 27, 14, 26], [18, 27, 19, 28], [24, 19, 25, 20], [25, 13, 26, 12], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_119","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1203_1 # 11n_1203_1 # 11n_120NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 15, 22, 14], [13, 26, 14, 27], [27, 18, 28, 19], [19, 24, 20, 25], [25, 12, 26, 13], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_120","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1203_1 # r11n_1203_1 # r11n_120NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [18, 22, 17, 23], [12, 20, 11, 21], [22, 14, 21, 15], [14, 27, 13, 26], [28, 19, 27, 18], [20, 25, 19, 24], [26, 13, 25, 12], [24, 28, 23, 7], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_120","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1203_1 # m11n_1203_1 # m11n_120NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 14, 22, 15], [13, 27, 14, 26], [27, 19, 28, 18], [19, 25, 20, 24], [25, 13, 26, 12], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_120","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1203_1 # mr11n_1203_1 # mr11n_120NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [18, 23, 17, 22], [12, 21, 11, 20], [22, 15, 21, 14], [14, 26, 13, 27], [28, 18, 27, 19], [20, 24, 19, 25], [26, 12, 25, 13], [24, 7, 23, 28], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_120","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1213_1 # 11n_1213_1 # 11n_121NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [21, 12, 22, 13], [19, 26, 20, 27], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_121","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1213_1 # m11n_1213_1 # m11n_121NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [21, 13, 22, 12], [19, 27, 20, 26], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_121","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1223_1 # 11n_1223_1 # 11n_122NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [21, 12, 22, 13], [19, 26, 20, 27], [15, 25, 16, 24], [25, 15, 26, 14], [23, 28, 24, 7], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_122","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1223_1 # r11n_1223_1 # r11n_122NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [14, 19, 13, 18], [17, 10, 16, 9], [9, 18, 8, 17], [12, 23, 11, 22], [22, 13, 21, 12], [20, 27, 19, 26], [16, 24, 15, 25], [26, 14, 25, 15], [24, 7, 23, 28], [28, 21, 27, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_122","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1223_1 # m11n_1223_1 # m11n_122NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [21, 13, 22, 12], [19, 27, 20, 26], [15, 24, 16, 25], [25, 14, 26, 15], [23, 7, 24, 28], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_122","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1223_1 # mr11n_1223_1 # mr11n_122NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [14, 18, 13, 19], [17, 9, 16, 10], [9, 17, 8, 18], [12, 22, 11, 23], [22, 12, 21, 13], [20, 26, 19, 27], [16, 25, 15, 24], [26, 15, 25, 14], [24, 28, 23, 7], [28, 20, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_122","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1233_1 # 11n_1233_1 # 11n_123NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 16, 19, 15], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [23, 28, 24, 7], [13, 21, 14, 20], [25, 14, 26, 15], [27, 13, 28, 12], [19, 24, 20, 25], [21, 27, 22, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_123","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1233_1 # m11n_1233_1 # m11n_123NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 15, 19, 16], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [23, 7, 24, 28], [13, 20, 14, 21], [25, 15, 26, 14], [27, 12, 28, 13], [19, 25, 20, 24], [21, 26, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_123","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1243_1 # 11n_1243_1 # 11n_124NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 21, 14, 20], [16, 9, 17, 10], [8, 17, 9, 18], [22, 12, 23, 11], [15, 25, 16, 24], [26, 21, 27, 22], [19, 15, 20, 14], [28, 24, 7, 23], [25, 19, 26, 18], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_124","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1243_1 # r11n_1243_1 # r11n_124NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [14, 20, 13, 21], [17, 10, 16, 9], [9, 18, 8, 17], [23, 11, 22, 12], [16, 24, 15, 25], [27, 22, 26, 21], [20, 14, 19, 15], [7, 23, 28, 24], [26, 18, 25, 19], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_124","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1243_1 # m11n_1243_1 # m11n_124NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 20, 14, 21], [16, 10, 17, 9], [8, 18, 9, 17], [22, 11, 23, 12], [15, 24, 16, 25], [26, 22, 27, 21], [19, 14, 20, 15], [28, 23, 7, 24], [25, 18, 26, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_124","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1243_1 # mr11n_1243_1 # mr11n_124NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [14, 21, 13, 20], [17, 9, 16, 10], [9, 17, 8, 18], [23, 12, 22, 11], [16, 25, 15, 24], [27, 21, 26, 22], [20, 15, 19, 14], [7, 24, 28, 23], [26, 19, 25, 18], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_124","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1253_1 # 11n_1253_1 # 11n_125NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 16, 21, 15], [16, 9, 17, 10], [8, 17, 9, 18], [28, 21, 7, 22], [11, 23, 12, 22], [13, 25, 14, 24], [23, 13, 24, 12], [14, 27, 15, 28], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_125","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1253_1 # m11n_1253_1 # m11n_125NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 15, 21, 16], [16, 10, 17, 9], [8, 18, 9, 17], [28, 22, 7, 21], [11, 22, 12, 23], [13, 24, 14, 25], [23, 12, 24, 13], [14, 28, 15, 27], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_125","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1263_1 # 11n_1263_1 # 11n_126NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [13, 19, 14, 18], [21, 15, 22, 14], [19, 27, 20, 26], [27, 13, 28, 12], [11, 25, 12, 24], [25, 21, 26, 20], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_126","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1263_1 # m11n_1263_1 # m11n_126NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [13, 18, 14, 19], [21, 14, 22, 15], [19, 26, 20, 27], [27, 12, 28, 13], [11, 24, 12, 25], [25, 20, 26, 21], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_126","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1273_1 # 11n_1273_1 # 11n_127NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [19, 27, 20, 26], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [27, 21, 28, 20], [15, 22, 16, 23], [21, 14, 22, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_127","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1273_1 # m11n_1273_1 # m11n_127NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [19, 26, 20, 27], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [27, 20, 28, 21], [15, 23, 16, 22], [21, 15, 22, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_127","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1283_1 # 11n_1283_1 # 11n_128NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [15, 22, 16, 23], [16, 9, 17, 10], [8, 17, 9, 18], [23, 7, 24, 28], [11, 25, 12, 24], [13, 21, 14, 20], [19, 13, 20, 12], [27, 15, 28, 14], [21, 26, 22, 27], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_128","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1283_1 # r11n_1283_1 # r11n_128NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [16, 23, 15, 22], [17, 10, 16, 9], [9, 18, 8, 17], [24, 28, 23, 7], [12, 24, 11, 25], [14, 20, 13, 21], [20, 12, 19, 13], [28, 14, 27, 15], [22, 27, 21, 26], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_128","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1283_1 # m11n_1283_1 # m11n_128NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [15, 23, 16, 22], [16, 10, 17, 9], [8, 18, 9, 17], [23, 28, 24, 7], [11, 24, 12, 25], [13, 20, 14, 21], [19, 12, 20, 13], [27, 14, 28, 15], [21, 27, 22, 26], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_128","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1283_1 # mr11n_1283_1 # mr11n_128NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [16, 22, 15, 23], [17, 9, 16, 10], [9, 17, 8, 18], [24, 7, 23, 28], [12, 25, 11, 24], [14, 21, 13, 20], [20, 13, 19, 12], [28, 15, 27, 14], [22, 26, 21, 27], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_128","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1293_1 # 11n_1293_1 # 11n_129NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 20, 14, 21], [16, 9, 17, 10], [8, 17, 9, 18], [23, 7, 24, 28], [11, 25, 12, 24], [27, 13, 28, 12], [15, 22, 16, 23], [19, 26, 20, 27], [21, 14, 22, 15], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_129","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1293_1 # r11n_1293_1 # r11n_129NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [14, 21, 13, 20], [17, 10, 16, 9], [9, 18, 8, 17], [24, 28, 23, 7], [12, 24, 11, 25], [28, 12, 27, 13], [16, 23, 15, 22], [20, 27, 19, 26], [22, 15, 21, 14], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_129","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1293_1 # m11n_1293_1 # m11n_129NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 21, 14, 20], [16, 10, 17, 9], [8, 18, 9, 17], [23, 28, 24, 7], [11, 24, 12, 25], [27, 12, 28, 13], [15, 23, 16, 22], [19, 27, 20, 26], [21, 15, 22, 14], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_129","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1293_1 # mr11n_1293_1 # mr11n_129NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [14, 20, 13, 21], [17, 9, 16, 10], [9, 17, 8, 18], [24, 7, 23, 28], [12, 25, 11, 24], [28, 13, 27, 12], [16, 22, 15, 23], [20, 26, 19, 27], [22, 14, 21, 15], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_129","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1303_1 # 11n_1303_1 # 11n_130NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [23, 19, 24, 18], [13, 20, 14, 21], [11, 24, 12, 25], [25, 12, 26, 13], [19, 27, 20, 26], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_130","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1303_1 # r11n_1303_1 # r11n_130NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [22, 7, 21, 28], [17, 10, 16, 9], [9, 18, 8, 17], [16, 22, 15, 23], [24, 18, 23, 19], [14, 21, 13, 20], [12, 25, 11, 24], [26, 13, 25, 12], [20, 26, 19, 27], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_130","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1303_1 # m11n_1303_1 # m11n_130NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [23, 18, 24, 19], [13, 21, 14, 20], [11, 25, 12, 24], [25, 13, 26, 12], [19, 26, 20, 27], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_130","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1303_1 # mr11n_1303_1 # mr11n_130NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [22, 28, 21, 7], [17, 9, 16, 10], [9, 17, 8, 18], [16, 23, 15, 22], [24, 19, 23, 18], [14, 20, 13, 21], [12, 24, 11, 25], [26, 12, 25, 13], [20, 27, 19, 26], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_130","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1313_1 # 11n_1313_1 # 11n_131NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [15, 20, 16, 21], [16, 9, 17, 10], [8, 17, 9, 18], [13, 22, 14, 23], [21, 14, 22, 15], [28, 23, 7, 24], [24, 11, 25, 12], [12, 27, 13, 28], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_131","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1313_1 # r11n_1313_1 # r11n_131NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [16, 21, 15, 20], [17, 10, 16, 9], [9, 18, 8, 17], [14, 23, 13, 22], [22, 15, 21, 14], [7, 24, 28, 23], [25, 12, 24, 11], [13, 28, 12, 27], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_131","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1313_1 # m11n_1313_1 # m11n_131NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [15, 21, 16, 20], [16, 10, 17, 9], [8, 18, 9, 17], [13, 23, 14, 22], [21, 15, 22, 14], [28, 24, 7, 23], [24, 12, 25, 11], [12, 28, 13, 27], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_131","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1313_1 # mr11n_1313_1 # mr11n_131NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [16, 20, 15, 21], [17, 9, 16, 10], [9, 17, 8, 18], [14, 22, 13, 23], [22, 14, 21, 15], [7, 23, 28, 24], [25, 11, 24, 12], [13, 27, 12, 28], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_131","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1323_1 # 11n_1323_1 # 11n_132NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [15, 20, 16, 21], [16, 9, 17, 10], [8, 17, 9, 18], [13, 22, 14, 23], [21, 14, 22, 15], [23, 7, 24, 28], [11, 25, 12, 24], [27, 13, 28, 12], [19, 26, 20, 27], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_132","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1323_1 # r11n_1323_1 # r11n_132NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [16, 21, 15, 20], [17, 10, 16, 9], [9, 18, 8, 17], [14, 23, 13, 22], [22, 15, 21, 14], [24, 28, 23, 7], [12, 24, 11, 25], [28, 12, 27, 13], [20, 27, 19, 26], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_132","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1323_1 # m11n_1323_1 # m11n_132NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [15, 21, 16, 20], [16, 10, 17, 9], [8, 18, 9, 17], [13, 23, 14, 22], [21, 15, 22, 14], [23, 28, 24, 7], [11, 24, 12, 25], [27, 12, 28, 13], [19, 27, 20, 26], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_132","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1323_1 # mr11n_1323_1 # mr11n_132NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [16, 20, 15, 21], [17, 9, 16, 10], [9, 17, 8, 18], [14, 22, 13, 23], [22, 14, 21, 15], [24, 7, 23, 28], [12, 25, 11, 24], [28, 13, 27, 12], [20, 26, 19, 27], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_132","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1333_1 # 11n_1333_1 # 11n_133NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [11, 25, 12, 24], [21, 15, 22, 14], [25, 21, 26, 20], [13, 26, 14, 27], [19, 12, 20, 13], [27, 18, 28, 19], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_133","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1333_1 # m11n_1333_1 # m11n_133NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [11, 24, 12, 25], [21, 14, 22, 15], [25, 20, 26, 21], [13, 27, 14, 26], [19, 13, 20, 12], [27, 19, 28, 18], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_133","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1343_1 # 11n_1343_1 # 11n_134NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [15, 20, 16, 21], [16, 9, 17, 10], [8, 17, 9, 18], [13, 28, 14, 7], [11, 25, 12, 24], [27, 22, 28, 23], [23, 13, 24, 12], [21, 14, 22, 15], [19, 26, 20, 27], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_134","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1343_1 # r11n_1343_1 # r11n_134NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [16, 21, 15, 20], [17, 10, 16, 9], [9, 18, 8, 17], [14, 7, 13, 28], [12, 24, 11, 25], [28, 23, 27, 22], [24, 12, 23, 13], [22, 15, 21, 14], [20, 27, 19, 26], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_134","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1343_1 # m11n_1343_1 # m11n_134NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [15, 21, 16, 20], [16, 10, 17, 9], [8, 18, 9, 17], [13, 7, 14, 28], [11, 24, 12, 25], [27, 23, 28, 22], [23, 12, 24, 13], [21, 15, 22, 14], [19, 27, 20, 26], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_134","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1343_1 # mr11n_1343_1 # mr11n_134NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [16, 20, 15, 21], [17, 9, 16, 10], [9, 17, 8, 18], [14, 28, 13, 7], [12, 25, 11, 24], [28, 22, 27, 23], [24, 13, 23, 12], [22, 14, 21, 15], [20, 26, 19, 27], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_134","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1353_1 # 11n_1353_1 # 11n_135NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 16, 7, 15], [17, 25, 18, 24], [25, 13, 26, 12], [13, 23, 14, 22], [23, 17, 24, 16], [21, 26, 22, 27], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_135","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1353_1 # m11n_1353_1 # m11n_135NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 15, 7, 16], [17, 24, 18, 25], [25, 12, 26, 13], [13, 22, 14, 23], [23, 16, 24, 17], [21, 27, 22, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_135","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1363_1 # 11n_1363_1 # 11n_136NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [20, 14, 21, 13], [24, 16, 25, 15], [26, 24, 27, 23], [27, 13, 28, 12], [11, 23, 12, 22], [16, 26, 17, 25], [14, 20, 15, 19], [21, 7, 22, 28], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_136","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1363_1 # m11n_1363_1 # m11n_136NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [20, 13, 21, 14], [24, 15, 25, 16], [26, 23, 27, 24], [27, 12, 28, 13], [11, 22, 12, 23], [16, 25, 17, 26], [14, 19, 15, 20], [21, 28, 22, 7], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_136","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1373_1 # 11n_1373_1 # 11n_137NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 20, 14, 21], [18, 9, 19, 10], [8, 19, 9, 20], [11, 22, 12, 23], [21, 12, 22, 13], [28, 24, 7, 23], [24, 15, 25, 16], [14, 27, 15, 28], [26, 17, 27, 18], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_137","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1373_1 # m11n_1373_1 # m11n_137NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 21, 14, 20], [18, 10, 19, 9], [8, 20, 9, 19], [11, 23, 12, 22], [21, 13, 22, 12], [28, 23, 7, 24], [24, 16, 25, 15], [14, 28, 15, 27], [26, 18, 27, 17], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_137","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1383_1 # 11n_1383_1 # 11n_138NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 20, 14, 21], [18, 9, 19, 10], [8, 19, 9, 20], [11, 22, 12, 23], [21, 12, 22, 13], [23, 28, 24, 7], [15, 25, 16, 24], [27, 15, 28, 14], [17, 27, 18, 26], [25, 17, 26, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_138","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1383_1 # m11n_1383_1 # m11n_138NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 21, 14, 20], [18, 10, 19, 9], [8, 20, 9, 19], [11, 23, 12, 22], [21, 13, 22, 12], [23, 7, 24, 28], [15, 24, 16, 25], [27, 14, 28, 15], [17, 26, 18, 27], [25, 16, 26, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_138","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1393_1 # 11n_1393_1 # 11n_139NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [12, 22, 13, 21], [23, 28, 24, 7], [17, 25, 18, 24], [15, 27, 16, 26], [25, 17, 26, 16], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_139","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1393_1 # r11n_1393_1 # r11n_139NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [19, 10, 18, 9], [9, 20, 8, 19], [23, 11, 22, 12], [13, 21, 12, 22], [24, 7, 23, 28], [18, 24, 17, 25], [16, 26, 15, 27], [26, 16, 25, 17], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_139","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1393_1 # m11n_1393_1 # m11n_139NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [12, 21, 13, 22], [23, 7, 24, 28], [17, 24, 18, 25], [15, 26, 16, 27], [25, 16, 26, 17], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_139","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1393_1 # mr11n_1393_1 # mr11n_139NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [19, 9, 18, 10], [9, 19, 8, 20], [23, 12, 22, 11], [13, 22, 12, 21], [24, 28, 23, 7], [18, 25, 17, 24], [16, 27, 15, 26], [26, 17, 25, 16], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_139","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1403_1 # 11n_1403_1 # 11n_140NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 20, 14, 21], [18, 9, 19, 10], [8, 19, 9, 20], [11, 22, 12, 23], [21, 12, 22, 13], [28, 24, 7, 23], [24, 17, 25, 18], [26, 15, 27, 16], [16, 25, 17, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_140","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1403_1 # m11n_1403_1 # m11n_140NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 21, 14, 20], [18, 10, 19, 9], [8, 20, 9, 19], [11, 23, 12, 22], [21, 13, 22, 12], [28, 23, 7, 24], [24, 18, 25, 17], [26, 16, 27, 15], [16, 26, 17, 25], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_140","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1413_1 # 11n_1413_1 # 11n_141NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 20, 14, 21], [18, 9, 19, 10], [8, 19, 9, 20], [11, 22, 12, 23], [21, 12, 22, 13], [23, 28, 24, 7], [17, 25, 18, 24], [15, 27, 16, 26], [25, 17, 26, 16], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_141","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1413_1 # m11n_1413_1 # m11n_141NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 21, 14, 20], [18, 10, 19, 9], [8, 20, 9, 19], [11, 23, 12, 22], [21, 13, 22, 12], [23, 7, 24, 28], [17, 24, 18, 25], [15, 26, 16, 27], [25, 16, 26, 17], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_141","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1423_1 # 11n_1423_1 # 11n_142NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [13, 27, 14, 26], [18, 9, 19, 10], [8, 19, 9, 20], [11, 22, 12, 23], [17, 25, 18, 24], [25, 17, 26, 16], [15, 20, 16, 21], [21, 14, 22, 15], [23, 28, 24, 7], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_142","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1423_1 # m11n_1423_1 # m11n_142NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [13, 26, 14, 27], [18, 10, 19, 9], [8, 20, 9, 19], [11, 23, 12, 22], [17, 24, 18, 25], [25, 16, 26, 17], [15, 21, 16, 20], [21, 15, 22, 14], [23, 7, 24, 28], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_142","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1433_1 # 11n_1433_1 # 11n_143NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [11, 22, 12, 23], [15, 24, 16, 25], [28, 14, 7, 13], [14, 28, 15, 27], [19, 27, 20, 26], [23, 12, 24, 13], [25, 21, 26, 20], [21, 16, 22, 17], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_143","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1433_1 # m11n_1433_1 # m11n_143NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [11, 23, 12, 22], [15, 25, 16, 24], [28, 13, 7, 14], [14, 27, 15, 28], [19, 26, 20, 27], [23, 13, 24, 12], [25, 20, 26, 21], [21, 17, 22, 16], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_143","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1443_1 # 11n_1443_1 # 11n_144NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [13, 21, 14, 20], [27, 15, 28, 14], [21, 26, 22, 27], [28, 19, 7, 20], [12, 26, 13, 25], [16, 24, 17, 23], [22, 16, 23, 15], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_144","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1443_1 # m11n_1443_1 # m11n_144NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [24, 11, 25, 12], [13, 20, 14, 21], [27, 14, 28, 15], [21, 27, 22, 26], [28, 20, 7, 19], [12, 25, 13, 26], [16, 23, 17, 24], [22, 15, 23, 16], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_144","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1453_1 # 11n_1453_1 # 11n_145NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 10, 21, 9], [15, 7, 16, 28], [11, 17, 12, 16], [24, 17, 25, 18], [13, 26, 14, 27], [21, 15, 22, 14], [23, 12, 24, 13], [18, 25, 19, 26], [27, 22, 28, 23], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_145","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1453_1 # m11n_1453_1 # m11n_145NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 9, 21, 10], [15, 28, 16, 7], [11, 16, 12, 17], [24, 18, 25, 17], [13, 27, 14, 26], [21, 14, 22, 15], [23, 13, 24, 12], [18, 26, 19, 25], [27, 23, 28, 22], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_145","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1463_1 # 11n_1463_1 # 11n_146NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 10, 21, 9], [28, 15, 7, 16], [16, 11, 17, 12], [17, 25, 18, 24], [26, 14, 27, 13], [14, 21, 15, 22], [12, 24, 13, 23], [25, 19, 26, 18], [22, 28, 23, 27], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_146","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1463_1 # m11n_1463_1 # m11n_146NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 9, 21, 10], [28, 16, 7, 15], [16, 12, 17, 11], [17, 24, 18, 25], [26, 13, 27, 14], [14, 22, 15, 21], [12, 23, 13, 24], [25, 18, 26, 19], [22, 27, 23, 28], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_146","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1473_1 # 11n_1473_1 # 11n_147NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 10, 21, 9], [15, 7, 16, 28], [11, 17, 12, 16], [17, 25, 18, 24], [13, 26, 14, 27], [21, 15, 22, 14], [23, 12, 24, 13], [25, 19, 26, 18], [27, 22, 28, 23], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_147","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1473_1 # r11n_1473_1 # r11n_147NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 9, 20, 10], [16, 28, 15, 7], [12, 16, 11, 17], [18, 24, 17, 25], [14, 27, 13, 26], [22, 14, 21, 15], [24, 13, 23, 12], [26, 18, 25, 19], [28, 23, 27, 22], [9, 19, 8, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_147","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1473_1 # m11n_1473_1 # m11n_147NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 9, 21, 10], [15, 28, 16, 7], [11, 16, 12, 17], [17, 24, 18, 25], [13, 27, 14, 26], [21, 14, 22, 15], [23, 13, 24, 12], [25, 18, 26, 19], [27, 23, 28, 22], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_147","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1473_1 # mr11n_1473_1 # mr11n_147NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 10, 20, 9], [16, 7, 15, 28], [12, 17, 11, 16], [18, 25, 17, 24], [14, 26, 13, 27], [22, 15, 21, 14], [24, 12, 23, 13], [26, 19, 25, 18], [28, 22, 27, 23], [9, 20, 8, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_147","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1483_1 # 11n_1483_1 # 11n_148NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 10, 21, 9], [13, 26, 14, 27], [11, 25, 12, 24], [25, 19, 26, 18], [15, 7, 16, 28], [21, 15, 22, 14], [17, 12, 18, 13], [27, 22, 28, 23], [23, 16, 24, 17], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_148","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1483_1 # m11n_1483_1 # m11n_148NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 9, 21, 10], [13, 27, 14, 26], [11, 24, 12, 25], [25, 18, 26, 19], [15, 28, 16, 7], [21, 14, 22, 15], [17, 13, 18, 12], [27, 23, 28, 22], [23, 17, 24, 16], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_148","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1493_1 # 11n_1493_1 # 11n_149NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [14, 9, 15, 10], [8, 23, 9, 24], [22, 15, 23, 16], [16, 12, 17, 11], [10, 22, 11, 21], [17, 27, 18, 26], [19, 7, 20, 28], [27, 19, 28, 18], [25, 21, 26, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_149","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1493_1 # m11n_1493_1 # m11n_149NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [14, 10, 15, 9], [8, 24, 9, 23], [22, 16, 23, 15], [16, 11, 17, 12], [10, 21, 11, 22], [17, 26, 18, 27], [19, 28, 20, 7], [27, 18, 28, 19], [25, 20, 26, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_149","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1503_1 # 11n_1503_1 # 11n_150NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [14, 9, 15, 10], [8, 23, 9, 24], [22, 15, 23, 16], [16, 12, 17, 11], [10, 22, 11, 21], [17, 7, 18, 28], [19, 27, 20, 26], [25, 21, 26, 20], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_150","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1503_1 # m11n_1503_1 # m11n_150NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [14, 10, 15, 9], [8, 24, 9, 23], [22, 16, 23, 15], [16, 11, 17, 12], [10, 21, 11, 22], [17, 28, 18, 7], [19, 26, 20, 27], [25, 20, 26, 21], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_150","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1513_1 # 11n_1513_1 # 11n_151NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [23, 28, 24, 7], [18, 11, 19, 12], [10, 19, 11, 20], [17, 25, 18, 24], [25, 21, 26, 20], [15, 22, 16, 23], [21, 27, 22, 26], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_151","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_1513_1 # r11n_1513_1 # r11n_151NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [15, 9, 14, 10], [9, 13, 8, 14], [24, 7, 23, 28], [19, 12, 18, 11], [11, 20, 10, 19], [18, 24, 17, 25], [26, 20, 25, 21], [16, 23, 15, 22], [22, 26, 21, 27], [28, 16, 27, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_151","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_1513_1 # m11n_1513_1 # m11n_151NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [23, 7, 24, 28], [18, 12, 19, 11], [10, 20, 11, 19], [17, 24, 18, 25], [25, 20, 26, 21], [15, 23, 16, 22], [21, 26, 22, 27], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_151","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_1513_1 # mr11n_1513_1 # mr11n_151NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [15, 10, 14, 9], [9, 14, 8, 13], [24, 28, 23, 7], [19, 11, 18, 12], [11, 19, 10, 20], [18, 25, 17, 24], [26, 21, 25, 20], [16, 22, 15, 23], [22, 27, 21, 26], [28, 17, 27, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_151","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_1523_1 # 11n_1523_1 # 11n_152NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [15, 25, 16, 24], [18, 11, 19, 12], [10, 19, 11, 20], [25, 20, 26, 21], [17, 26, 18, 27], [23, 7, 24, 28], [27, 23, 28, 22], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_152","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1523_1 # m11n_1523_1 # m11n_152NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [15, 24, 16, 25], [18, 12, 19, 11], [10, 20, 11, 19], [25, 21, 26, 20], [17, 27, 18, 26], [23, 28, 24, 7], [27, 22, 28, 23], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_152","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1533_1 # 11n_1533_1 # 11n_153NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 14, 27, 13], [14, 9, 15, 10], [8, 25, 9, 26], [22, 15, 23, 16], [18, 12, 19, 11], [10, 22, 11, 21], [24, 17, 25, 18], [16, 23, 17, 24], [19, 7, 20, 28], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_153","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_1533_1 # m11n_1533_1 # m11n_153NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 13, 27, 14], [14, 10, 15, 9], [8, 26, 9, 25], [22, 16, 23, 15], [18, 11, 19, 12], [10, 21, 11, 22], [24, 18, 25, 17], [16, 24, 17, 23], [19, 28, 20, 7], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_153","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_1543_1 # 11n_1543_1 # 11n_154NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 14, 27, 13], [14, 9, 15, 10], [8, 25, 9, 26], [15, 23, 16, 22], [18, 12, 19, 11], [10, 22, 11, 21], [17, 25, 18, 24], [23, 17, 24, 16], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_154","mirror":false,"reverse":false}]falsefalsechiral[]