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_63_1 # mr11n_63_1 # mr11n_6NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [18, 24, 17, 25], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 18, 23, 19], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_6","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_73_1 # 11n_73_1 # 11n_7NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [24, 18, 25, 17], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [18, 24, 19, 23], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_7","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_73_1 # r11n_73_1 # r11n_7NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [25, 17, 24, 18], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [19, 23, 18, 24], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_7","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_73_1 # m11n_73_1 # m11n_7NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [24, 17, 25, 18], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [18, 23, 19, 24], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_7","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_73_1 # mr11n_73_1 # mr11n_7NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [25, 18, 24, 17], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [19, 24, 18, 23], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_7","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_83_1 # 11n_83_1 # 11n_8NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [17, 24, 18, 25], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 18, 24, 19], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_8","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_83_1 # r11n_83_1 # r11n_8NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [18, 25, 17, 24], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 19, 23, 18], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_8","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_83_1 # m11n_83_1 # m11n_8NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [17, 25, 18, 24], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 19, 24, 18], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_8","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_83_1 # mr11n_83_1 # mr11n_8NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [18, 24, 17, 25], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 18, 23, 19], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_8","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_93_1 # 11n_93_1 # 11n_9NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [21, 27, 22, 26], [17, 25, 18, 24], [25, 19, 26, 18], [23, 7, 24, 28], [27, 23, 28, 22], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_9","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_93_1 # r11n_93_1 # r11n_9NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [22, 26, 21, 27], [18, 24, 17, 25], [26, 18, 25, 19], [24, 28, 23, 7], [28, 22, 27, 23], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_9","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_93_1 # m11n_93_1 # m11n_9NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [21, 26, 22, 27], [17, 24, 18, 25], [25, 18, 26, 19], [23, 28, 24, 7], [27, 22, 28, 23], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_9","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_93_1 # mr11n_93_1 # mr11n_9NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [22, 27, 21, 26], [18, 25, 17, 24], [26, 19, 25, 18], [24, 7, 23, 28], [28, 23, 27, 22], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_9","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_103_1 # 11n_103_1 # 11n_10NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [26, 21, 27, 22], [24, 17, 25, 18], [18, 25, 19, 26], [28, 23, 7, 24], [22, 27, 23, 28], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_10","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_103_1 # r11n_103_1 # r11n_10NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [27, 22, 26, 21], [25, 18, 24, 17], [19, 26, 18, 25], [7, 24, 28, 23], [23, 28, 22, 27], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_10","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_103_1 # m11n_103_1 # m11n_10NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [26, 22, 27, 21], [24, 18, 25, 17], [18, 26, 19, 25], [28, 24, 7, 23], [22, 28, 23, 27], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_10","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_103_1 # mr11n_103_1 # mr11n_10NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [27, 21, 26, 22], [25, 17, 24, 18], [19, 25, 18, 26], [7, 23, 28, 24], [23, 27, 22, 28], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_10","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_113_1 # 11n_113_1 # 11n_11NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [21, 27, 22, 26], [17, 25, 18, 24], [25, 19, 26, 18], [23, 7, 24, 28], [27, 23, 28, 22], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_11","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_113_1 # r11n_113_1 # r11n_11NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [22, 26, 21, 27], [18, 24, 17, 25], [26, 18, 25, 19], [24, 28, 23, 7], [28, 22, 27, 23], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_11","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_113_1 # m11n_113_1 # m11n_11NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [21, 26, 22, 27], [17, 24, 18, 25], [25, 18, 26, 19], [23, 28, 24, 7], [27, 22, 28, 23], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_11","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_113_1 # mr11n_113_1 # mr11n_11NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [22, 27, 21, 26], [18, 25, 17, 24], [26, 19, 25, 18], [24, 7, 23, 28], [28, 23, 27, 22], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_11","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_123_1 # 11n_123_1 # 11n_12NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [23, 27, 24, 26], [17, 25, 18, 24], [25, 19, 26, 18], [21, 7, 22, 28], [27, 23, 28, 22], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_12","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_123_1 # m11n_123_1 # m11n_12NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [23, 26, 24, 27], [17, 24, 18, 25], [25, 18, 26, 19], [21, 28, 22, 7], [27, 22, 28, 23], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_12","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_133_1 # 11n_133_1 # 11n_13NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [23, 7, 24, 28], [17, 25, 18, 24], [19, 27, 20, 26], [25, 19, 26, 18], [27, 21, 28, 20], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_13","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_133_1 # m11n_133_1 # m11n_13NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [23, 28, 24, 7], [17, 24, 18, 25], [19, 26, 20, 27], [25, 18, 26, 19], [27, 20, 28, 21], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_13","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_143_1 # 11n_143_1 # 11n_14NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [28, 23, 7, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_14","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_143_1 # m11n_143_1 # m11n_14NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [28, 24, 7, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_14","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_153_1 # 11n_153_1 # 11n_15NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [23, 7, 24, 28], [17, 25, 18, 24], [19, 27, 20, 26], [25, 19, 26, 18], [27, 21, 28, 20], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_15","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_153_1 # m11n_153_1 # m11n_15NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [23, 28, 24, 7], [17, 24, 18, 25], [19, 26, 20, 27], [25, 18, 26, 19], [27, 20, 28, 21], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_15","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_163_1 # 11n_163_1 # 11n_16NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [23, 7, 24, 28], [17, 25, 18, 24], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_16","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_163_1 # m11n_163_1 # m11n_16NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [23, 28, 24, 7], [17, 24, 18, 25], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_16","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_173_1 # 11n_173_1 # 11n_17NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [28, 23, 7, 24], [24, 17, 25, 18], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_17","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_173_1 # m11n_173_1 # m11n_17NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [28, 24, 7, 23], [24, 18, 25, 17], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_17","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_183_1 # 11n_183_1 # 11n_18NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [23, 7, 24, 28], [17, 25, 18, 24], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_18","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_183_1 # m11n_183_1 # m11n_18NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [23, 28, 24, 7], [17, 24, 18, 25], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_18","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_193_1 # 11n_193_1 # 11n_19NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 24, 18, 25], [13, 23, 14, 22], [23, 13, 24, 12], [19, 26, 20, 27], [21, 28, 22, 7], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_19","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_193_1 # m11n_193_1 # m11n_19NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 25, 18, 24], [13, 22, 14, 23], [23, 12, 24, 13], [19, 27, 20, 26], [21, 7, 22, 28], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_19","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_203_1 # 11n_203_1 # 11n_20NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 24, 18, 25], [13, 23, 14, 22], [23, 13, 24, 12], [21, 28, 22, 7], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_20","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_203_1 # m11n_203_1 # m11n_20NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 25, 18, 24], [13, 22, 14, 23], [23, 12, 24, 13], [21, 7, 22, 28], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_20","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_213_1 # 11n_213_1 # 11n_21NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [17, 25, 18, 24], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 17, 24, 16], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_21","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_213_1 # r11n_213_1 # r11n_21NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [19, 12, 18, 11], [13, 20, 12, 19], [18, 24, 17, 25], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 16, 23, 17], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_21","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_213_1 # m11n_213_1 # m11n_21NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [17, 24, 18, 25], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 16, 24, 17], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_21","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_213_1 # mr11n_213_1 # mr11n_21NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [19, 11, 18, 12], [13, 19, 12, 20], [18, 25, 17, 24], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 17, 23, 16], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_21","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_223_1 # 11n_223_1 # 11n_22NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [24, 17, 25, 18], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [16, 23, 17, 24], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_22","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_223_1 # r11n_223_1 # r11n_22NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [12, 18, 11, 19], [20, 12, 19, 13], [25, 18, 24, 17], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [17, 24, 16, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_22","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_223_1 # m11n_223_1 # m11n_22NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [24, 18, 25, 17], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [16, 24, 17, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_22","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_223_1 # mr11n_223_1 # mr11n_22NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [12, 19, 11, 18], [20, 13, 19, 12], [25, 17, 24, 18], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [17, 23, 16, 24], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_22","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_233_1 # 11n_233_1 # 11n_23NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [17, 25, 18, 24], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 17, 24, 16], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_23","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_233_1 # r11n_233_1 # r11n_23NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [12, 18, 11, 19], [20, 12, 19, 13], [18, 24, 17, 25], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 16, 23, 17], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_23","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_233_1 # m11n_233_1 # m11n_23NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [17, 24, 18, 25], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 16, 24, 17], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_23","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_233_1 # mr11n_233_1 # mr11n_23NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [12, 19, 11, 18], [20, 13, 19, 12], [18, 25, 17, 24], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 17, 23, 16], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_23","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_243_1 # 11n_243_1 # 11n_24NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [18, 11, 19, 12], [12, 19, 13, 20], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_24","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_243_1 # r11n_243_1 # r11n_24NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [19, 12, 18, 11], [13, 20, 12, 19], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_24","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_243_1 # m11n_243_1 # m11n_24NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [18, 12, 19, 11], [12, 20, 13, 19], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_24","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_243_1 # mr11n_243_1 # mr11n_24NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [19, 11, 18, 12], [13, 19, 12, 20], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_24","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_253_1 # 11n_253_1 # 11n_25NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_25","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_253_1 # r11n_253_1 # r11n_25NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [19, 12, 18, 11], [13, 20, 12, 19], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_25","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_253_1 # m11n_253_1 # m11n_25NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_25","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_253_1 # mr11n_253_1 # mr11n_25NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [19, 11, 18, 12], [13, 19, 12, 20], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_25","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_263_1 # 11n_263_1 # 11n_26NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [26, 21, 27, 22], [24, 18, 25, 17], [16, 26, 17, 25], [28, 23, 7, 24], [22, 27, 23, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_26","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_263_1 # r11n_263_1 # r11n_26NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [12, 18, 11, 19], [20, 12, 19, 13], [27, 22, 26, 21], [25, 17, 24, 18], [17, 25, 16, 26], [7, 24, 28, 23], [23, 28, 22, 27], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_26","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_263_1 # m11n_263_1 # m11n_26NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [26, 22, 27, 21], [24, 17, 25, 18], [16, 25, 17, 26], [28, 24, 7, 23], [22, 28, 23, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_26","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_263_1 # mr11n_263_1 # mr11n_26NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [12, 19, 11, 18], [20, 13, 19, 12], [27, 21, 26, 22], [25, 18, 24, 17], [17, 26, 16, 25], [7, 23, 28, 24], [23, 27, 22, 28], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_26","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_273_1 # 11n_273_1 # 11n_27NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_27","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_273_1 # r11n_273_1 # r11n_27NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [12, 18, 11, 19], [20, 12, 19, 13], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_27","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_273_1 # m11n_273_1 # m11n_27NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_27","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_273_1 # mr11n_273_1 # mr11n_27NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [12, 19, 11, 18], [20, 13, 19, 12], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_27","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_283_1 # 11n_283_1 # 11n_28NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [21, 7, 22, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_28","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_283_1 # m11n_283_1 # m11n_28NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [21, 28, 22, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_28","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_293_1 # 11n_293_1 # 11n_29NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [26, 23, 27, 24], [24, 18, 25, 17], [16, 26, 17, 25], [28, 21, 7, 22], [22, 27, 23, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_29","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_293_1 # m11n_293_1 # m11n_29NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [26, 24, 27, 23], [24, 17, 25, 18], [16, 25, 17, 26], [28, 22, 7, 21], [22, 28, 23, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_29","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_303_1 # 11n_303_1 # 11n_30NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [21, 7, 22, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_30","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11n_303_1 # m11n_303_1 # m11n_30NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [21, 28, 22, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_30","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11n_313_1 # 11n_313_1 # 11n_31NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [15, 23, 16, 22], [19, 26, 20, 27], [23, 7, 24, 28], [27, 25, 28, 24], [25, 20, 26, 21], [21, 17, 22, 16], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_31","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_313_1 # r11n_313_1 # r11n_31NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [19, 11, 18, 12], [16, 22, 15, 23], [20, 27, 19, 26], [24, 28, 23, 7], [28, 24, 27, 25], [26, 21, 25, 20], [22, 16, 21, 17], [13, 17, 12, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_31","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_313_1 # m11n_313_1 # m11n_31NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [15, 22, 16, 23], [19, 27, 20, 26], [23, 28, 24, 7], [27, 24, 28, 25], [25, 21, 26, 20], [21, 16, 22, 17], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_31","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_313_1 # mr11n_313_1 # mr11n_31NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [19, 12, 18, 11], [16, 23, 15, 22], [20, 26, 19, 27], [24, 7, 23, 28], [28, 25, 27, 24], [26, 20, 25, 21], [22, 17, 21, 16], [13, 18, 12, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_31","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_323_1 # 11n_323_1 # 11n_32NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [22, 15, 23, 16], [26, 20, 27, 19], [28, 23, 7, 24], [24, 27, 25, 28], [20, 26, 21, 25], [16, 21, 17, 22], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_32","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_323_1 # r11n_323_1 # r11n_32NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [23, 16, 22, 15], [27, 19, 26, 20], [7, 24, 28, 23], [25, 28, 24, 27], [21, 25, 20, 26], [17, 22, 16, 21], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_32","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_323_1 # m11n_323_1 # m11n_32NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [22, 16, 23, 15], [26, 19, 27, 20], [28, 24, 7, 23], [24, 28, 25, 27], [20, 25, 21, 26], [16, 22, 17, 21], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_32","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_323_1 # mr11n_323_1 # mr11n_32NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [12, 18, 11, 19], [23, 15, 22, 16], [27, 20, 26, 19], [7, 23, 28, 24], [25, 27, 24, 28], [21, 26, 20, 25], [17, 21, 16, 22], [18, 12, 17, 13], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_32","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_333_1 # 11n_333_1 # 11n_33NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [15, 23, 16, 22], [19, 26, 20, 27], [23, 7, 24, 28], [27, 25, 28, 24], [25, 20, 26, 21], [21, 17, 22, 16], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_33","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_333_1 # r11n_333_1 # r11n_33NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [16, 22, 15, 23], [20, 27, 19, 26], [24, 28, 23, 7], [28, 24, 27, 25], [26, 21, 25, 20], [22, 16, 21, 17], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_33","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_333_1 # m11n_333_1 # m11n_33NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [15, 22, 16, 23], [19, 27, 20, 26], [23, 28, 24, 7], [27, 24, 28, 25], [25, 21, 26, 20], [21, 16, 22, 17], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_33","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_333_1 # mr11n_333_1 # mr11n_33NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [12, 18, 11, 19], [16, 23, 15, 22], [20, 26, 19, 27], [24, 7, 23, 28], [28, 25, 27, 24], [26, 20, 25, 21], [22, 17, 21, 16], [18, 12, 17, 13], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_33","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_343_1 # 11n_343_1 # 11n_34NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [23, 7, 24, 28], [18, 11, 19, 12], [12, 19, 13, 20], [17, 24, 18, 25], [25, 20, 26, 21], [15, 23, 16, 22], [21, 26, 22, 27], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_34","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_343_1 # r11n_343_1 # r11n_34NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [24, 28, 23, 7], [19, 12, 18, 11], [13, 20, 12, 19], [18, 25, 17, 24], [26, 21, 25, 20], [16, 22, 15, 23], [22, 27, 21, 26], [28, 17, 27, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_34","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_343_1 # m11n_343_1 # m11n_34NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [23, 28, 24, 7], [18, 12, 19, 11], [12, 20, 13, 19], [17, 25, 18, 24], [25, 21, 26, 20], [15, 22, 16, 23], [21, 27, 22, 26], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_34","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_343_1 # mr11n_343_1 # mr11n_34NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [24, 7, 23, 28], [19, 11, 18, 12], [13, 19, 12, 20], [18, 24, 17, 25], [26, 20, 25, 21], [16, 23, 15, 22], [22, 26, 21, 27], [28, 16, 27, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_34","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_353_1 # 11n_353_1 # 11n_35NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [28, 23, 7, 24], [11, 19, 12, 18], [19, 13, 20, 12], [24, 18, 25, 17], [20, 26, 21, 25], [22, 15, 23, 16], [26, 22, 27, 21], [16, 28, 17, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_35","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_353_1 # r11n_353_1 # r11n_35NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [7, 24, 28, 23], [12, 18, 11, 19], [20, 12, 19, 13], [25, 17, 24, 18], [21, 25, 20, 26], [23, 16, 22, 15], [27, 21, 26, 22], [17, 27, 16, 28], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_35","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_353_1 # m11n_353_1 # m11n_35NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [28, 24, 7, 23], [11, 18, 12, 19], [19, 12, 20, 13], [24, 17, 25, 18], [20, 25, 21, 26], [22, 16, 23, 15], [26, 21, 27, 22], [16, 27, 17, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_35","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_353_1 # mr11n_353_1 # mr11n_35NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [7, 23, 28, 24], [12, 19, 11, 18], [20, 13, 19, 12], [25, 18, 24, 17], [21, 26, 20, 25], [23, 15, 22, 16], [27, 22, 26, 21], [17, 28, 16, 27], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_35","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_363_1 # 11n_363_1 # 11n_36NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [23, 7, 24, 28], [11, 19, 12, 18], [19, 13, 20, 12], [17, 24, 18, 25], [25, 20, 26, 21], [15, 23, 16, 22], [21, 26, 22, 27], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_36","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_363_1 # r11n_363_1 # r11n_36NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [24, 28, 23, 7], [12, 18, 11, 19], [20, 12, 19, 13], [18, 25, 17, 24], [26, 21, 25, 20], [16, 22, 15, 23], [22, 27, 21, 26], [28, 17, 27, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_36","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_363_1 # m11n_363_1 # m11n_36NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [23, 28, 24, 7], [11, 18, 12, 19], [19, 12, 20, 13], [17, 25, 18, 24], [25, 21, 26, 20], [15, 22, 16, 23], [21, 27, 22, 26], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_36","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11n_363_1 # mr11n_363_1 # mr11n_36NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [24, 7, 23, 28], [12, 19, 11, 18], [20, 13, 19, 12], [18, 24, 17, 25], [26, 20, 25, 21], [16, 23, 15, 22], [22, 26, 21, 27], [28, 16, 27, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_36","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11n_373_1 # 11n_373_1 # 11n_37NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [15, 25, 16, 24], [19, 26, 20, 27], [21, 28, 22, 7], [27, 20, 28, 21], [25, 22, 26, 23], [23, 17, 24, 16], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_37","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11n_373_1 # r11n_373_1 # r11n_37NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [16, 24, 15, 25], [20, 27, 19, 26], [22, 7, 21, 28], [28, 21, 27, 20], [26, 23, 25, 22], [24, 16, 23, 17], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_37","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11n_373_1 # m11n_373_1 # m11n_37NoneNonefalsecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [15, 24, 16, 25], [19, 27, 20, 26], [21, 7, 22, 28], [27, 21, 28, 20], [25, 23, 26, 22], [23, 16, 24, 17], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_37","mirror":true,"reverse":false}]falsefalsechiral[]