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 # mr11a_723_1 # mr11a_723_1 # mr11a_72None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [7, 17, 28, 18], [19, 11, 18, 12], [25, 20, 24, 19], [21, 14, 20, 13], [13, 25, 12, 26], [23, 27, 22, 28], [27, 21, 26, 22], [15, 24, 14, 23], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_72","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_733_1 # 11a_733_1 # 11a_73None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [20, 13, 21, 14], [28, 23, 7, 24], [12, 26, 13, 25], [14, 27, 15, 28], [22, 16, 23, 15], [24, 19, 25, 20], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_73","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_733_1 # m11a_733_1 # m11a_73None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [20, 14, 21, 13], [28, 24, 7, 23], [12, 25, 13, 26], [14, 28, 15, 27], [22, 15, 23, 16], [24, 20, 25, 19], [26, 21, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_73","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_743_1 # 11a_743_1 # 11a_74None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [20, 14, 21, 13], [12, 20, 13, 19], [26, 22, 27, 21], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_74","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_743_1 # m11a_743_1 # m11a_74None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [20, 13, 21, 14], [12, 19, 13, 20], [26, 21, 27, 22], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_74","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_753_1 # 11a_753_1 # 11a_75None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [20, 14, 21, 13], [12, 20, 13, 19], [26, 24, 27, 23], [24, 15, 25, 16], [14, 25, 15, 26], [28, 22, 7, 21], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_75","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_753_1 # m11a_753_1 # m11a_75None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [20, 13, 21, 14], [12, 19, 13, 20], [26, 23, 27, 24], [24, 16, 25, 15], [14, 26, 15, 25], [28, 21, 7, 22], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_75","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_763_1 # 11a_763_1 # 11a_76None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 20, 27, 19], [20, 13, 21, 14], [12, 25, 13, 26], [24, 15, 25, 16], [14, 21, 15, 22], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_76","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_763_1 # r11a_763_1 # r11a_76None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 11, 18, 12], [17, 10, 16, 9], [9, 18, 8, 17], [27, 19, 26, 20], [21, 14, 20, 13], [13, 26, 12, 25], [25, 16, 24, 15], [15, 22, 14, 21], [7, 23, 28, 24], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_76","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_763_1 # m11a_763_1 # m11a_76None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 19, 27, 20], [20, 14, 21, 13], [12, 26, 13, 25], [24, 16, 25, 15], [14, 22, 15, 21], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_76","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_763_1 # mr11a_763_1 # mr11a_76None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 12, 18, 11], [17, 9, 16, 10], [9, 17, 8, 18], [27, 20, 26, 19], [21, 13, 20, 14], [13, 25, 12, 26], [25, 15, 24, 16], [15, 21, 14, 22], [7, 24, 28, 23], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_76","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_773_1 # 11a_773_1 # 11a_77None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 20, 7, 19], [20, 13, 21, 14], [12, 27, 13, 28], [24, 15, 25, 16], [26, 21, 27, 22], [22, 25, 23, 26], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_77","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_773_1 # m11a_773_1 # m11a_77None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 19, 7, 20], [20, 14, 21, 13], [12, 28, 13, 27], [24, 16, 25, 15], [26, 22, 27, 21], [22, 26, 23, 25], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_77","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_783_1 # 11a_783_1 # 11a_78None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 16, 27, 15], [28, 24, 7, 23], [24, 28, 25, 27], [22, 20, 23, 19], [20, 13, 21, 14], [12, 21, 13, 22], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_78","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_783_1 # m11a_783_1 # m11a_78None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 15, 27, 16], [28, 23, 7, 24], [24, 27, 25, 28], [22, 19, 23, 20], [20, 14, 21, 13], [12, 22, 13, 21], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_78","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_793_1 # 11a_793_1 # 11a_79None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 16, 27, 15], [28, 23, 7, 24], [24, 19, 25, 20], [20, 13, 21, 14], [14, 21, 15, 22], [22, 27, 23, 28], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_79","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_793_1 # r11a_793_1 # r11a_79None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 11, 18, 12], [17, 10, 16, 9], [9, 18, 8, 17], [27, 15, 26, 16], [7, 24, 28, 23], [25, 20, 24, 19], [21, 14, 20, 13], [15, 22, 14, 21], [23, 28, 22, 27], [13, 25, 12, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_79","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_793_1 # m11a_793_1 # m11a_79None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 15, 27, 16], [28, 24, 7, 23], [24, 20, 25, 19], [20, 14, 21, 13], [14, 22, 15, 21], [22, 28, 23, 27], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_79","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_793_1 # mr11a_793_1 # mr11a_79None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 12, 18, 11], [17, 9, 16, 10], [9, 17, 8, 18], [27, 16, 26, 15], [7, 23, 28, 24], [25, 19, 24, 20], [21, 13, 20, 14], [15, 21, 14, 22], [23, 27, 22, 28], [13, 26, 12, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_79","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_803_1 # 11a_803_1 # 11a_80None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 16, 7, 15], [12, 23, 13, 24], [20, 13, 21, 14], [24, 20, 25, 19], [14, 26, 15, 25], [22, 27, 23, 28], [26, 21, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_80","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_803_1 # r11a_803_1 # r11a_80None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 11, 18, 12], [17, 10, 16, 9], [9, 18, 8, 17], [7, 15, 28, 16], [13, 24, 12, 23], [21, 14, 20, 13], [25, 19, 24, 20], [15, 25, 14, 26], [23, 28, 22, 27], [27, 22, 26, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_80","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_803_1 # m11a_803_1 # m11a_80None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 15, 7, 16], [12, 24, 13, 23], [20, 14, 21, 13], [24, 19, 25, 20], [14, 25, 15, 26], [22, 28, 23, 27], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_80","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_803_1 # mr11a_803_1 # mr11a_80None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 12, 18, 11], [17, 9, 16, 10], [9, 17, 8, 18], [7, 16, 28, 15], [13, 23, 12, 24], [21, 13, 20, 14], [25, 20, 24, 19], [15, 26, 14, 25], [23, 27, 22, 28], [27, 21, 26, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_80","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_813_1 # 11a_813_1 # 11a_81None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 16, 7, 15], [24, 19, 25, 20], [20, 13, 21, 14], [12, 26, 13, 25], [22, 28, 23, 27], [26, 22, 27, 21], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_81","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_813_1 # r11a_813_1 # r11a_81None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 11, 18, 12], [17, 10, 16, 9], [9, 18, 8, 17], [7, 15, 28, 16], [25, 20, 24, 19], [21, 14, 20, 13], [13, 25, 12, 26], [23, 27, 22, 28], [27, 21, 26, 22], [15, 24, 14, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_81","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_813_1 # m11a_813_1 # m11a_81None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 15, 7, 16], [24, 20, 25, 19], [20, 14, 21, 13], [12, 25, 13, 26], [22, 27, 23, 28], [26, 21, 27, 22], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_81","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_813_1 # mr11a_813_1 # mr11a_81None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 12, 18, 11], [17, 9, 16, 10], [9, 17, 8, 18], [7, 16, 28, 15], [25, 19, 24, 20], [21, 13, 20, 14], [13, 26, 12, 25], [23, 28, 22, 27], [27, 22, 26, 21], [15, 23, 14, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_81","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_823_1 # 11a_823_1 # 11a_82None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [24, 19, 25, 20], [22, 14, 23, 13], [12, 24, 13, 23], [26, 21, 27, 22], [20, 25, 21, 26], [14, 27, 15, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_82","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_823_1 # m11a_823_1 # m11a_82None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [24, 20, 25, 19], [22, 13, 23, 14], [12, 23, 13, 24], [26, 22, 27, 21], [20, 26, 21, 25], [14, 28, 15, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_82","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_833_1 # 11a_833_1 # 11a_83None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [12, 27, 13, 28], [22, 14, 23, 13], [24, 20, 25, 19], [26, 22, 27, 21], [20, 26, 21, 25], [14, 24, 15, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_83","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_833_1 # m11a_833_1 # m11a_83None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [12, 28, 13, 27], [22, 13, 23, 14], [24, 19, 25, 20], [26, 21, 27, 22], [20, 25, 21, 26], [14, 23, 15, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_83","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_843_1 # 11a_843_1 # 11a_84None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [24, 21, 25, 22], [22, 14, 23, 13], [12, 24, 13, 23], [26, 19, 27, 20], [20, 25, 21, 26], [14, 27, 15, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_84","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_843_1 # m11a_843_1 # m11a_84None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [24, 22, 25, 21], [22, 13, 23, 14], [12, 23, 13, 24], [26, 20, 27, 19], [20, 26, 21, 25], [14, 28, 15, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_84","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_853_1 # 11a_853_1 # 11a_85None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [12, 27, 13, 28], [22, 14, 23, 13], [26, 20, 27, 19], [24, 22, 25, 21], [20, 26, 21, 25], [14, 24, 15, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_85","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_853_1 # m11a_853_1 # m11a_85None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [12, 28, 13, 27], [22, 13, 23, 14], [26, 19, 27, 20], [24, 21, 25, 22], [20, 25, 21, 26], [14, 23, 15, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_85","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_863_1 # 11a_863_1 # 11a_86None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [22, 14, 23, 13], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [24, 16, 25, 15], [12, 22, 13, 21], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_86","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_863_1 # m11a_863_1 # m11a_86None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [22, 13, 23, 14], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [24, 15, 25, 16], [12, 21, 13, 22], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_86","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_873_1 # 11a_873_1 # 11a_87None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [24, 16, 25, 15], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [12, 24, 13, 23], [22, 14, 23, 13], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_87","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_873_1 # m11a_873_1 # m11a_87None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [24, 15, 25, 16], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [12, 23, 13, 24], [22, 13, 23, 14], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_87","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_883_1 # 11a_883_1 # 11a_88None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 20, 27, 19], [22, 13, 23, 14], [12, 25, 13, 26], [24, 15, 25, 16], [14, 23, 15, 24], [28, 22, 7, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_88","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_883_1 # m11a_883_1 # m11a_88None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 19, 27, 20], [22, 14, 23, 13], [12, 26, 13, 25], [24, 16, 25, 15], [14, 24, 15, 23], [28, 21, 7, 22], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_88","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_893_1 # 11a_893_1 # 11a_89None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [22, 14, 23, 13], [28, 20, 7, 19], [20, 28, 21, 27], [12, 22, 13, 21], [26, 24, 27, 23], [24, 15, 25, 16], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_89","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_893_1 # m11a_893_1 # m11a_89None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [22, 13, 23, 14], [28, 19, 7, 20], [20, 27, 21, 28], [12, 21, 13, 22], [26, 23, 27, 24], [24, 16, 25, 15], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_89","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_903_1 # 11a_903_1 # 11a_90None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 22, 27, 21], [22, 13, 23, 14], [12, 25, 13, 26], [24, 15, 25, 16], [28, 20, 7, 19], [14, 23, 15, 24], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_90","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_903_1 # m11a_903_1 # m11a_90None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 21, 27, 22], [22, 14, 23, 13], [12, 26, 13, 25], [24, 16, 25, 15], [28, 19, 7, 20], [14, 24, 15, 23], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_90","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_913_1 # 11a_913_1 # 11a_91None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 16, 27, 15], [28, 20, 7, 19], [20, 28, 21, 27], [12, 26, 13, 25], [22, 13, 23, 14], [24, 21, 25, 22], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_91","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_913_1 # m11a_913_1 # m11a_91None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 15, 27, 16], [28, 19, 7, 20], [20, 27, 21, 28], [12, 25, 13, 26], [22, 14, 23, 13], [24, 22, 25, 21], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_91","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_923_1 # 11a_923_1 # 11a_92None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 16, 7, 15], [12, 28, 13, 27], [22, 13, 23, 14], [24, 19, 25, 20], [26, 21, 27, 22], [20, 25, 21, 26], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_92","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_923_1 # m11a_923_1 # m11a_92None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 15, 7, 16], [12, 27, 13, 28], [22, 14, 23, 13], [24, 20, 25, 19], [26, 22, 27, 21], [20, 26, 21, 25], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_92","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_933_1 # 11a_933_1 # 11a_93None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 16, 7, 15], [12, 28, 13, 27], [22, 13, 23, 14], [26, 19, 27, 20], [24, 21, 25, 22], [20, 25, 21, 26], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_93","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_933_1 # m11a_933_1 # m11a_93None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 15, 7, 16], [12, 27, 13, 28], [22, 14, 23, 13], [26, 20, 27, 19], [24, 22, 25, 21], [20, 26, 21, 25], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_93","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_943_1 # 11a_943_1 # 11a_94None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [18, 12, 19, 11], [24, 14, 25, 13], [26, 20, 27, 19], [28, 22, 7, 21], [20, 28, 21, 27], [22, 26, 23, 25], [12, 24, 13, 23], [14, 18, 15, 17], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_94","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_943_1 # m11a_943_1 # m11a_94None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [18, 11, 19, 12], [24, 13, 25, 14], [26, 19, 27, 20], [28, 21, 7, 22], [20, 27, 21, 28], [22, 25, 23, 26], [12, 23, 13, 24], [14, 17, 15, 18], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_94","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_953_1 # 11a_953_1 # 11a_95None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [18, 12, 19, 11], [24, 14, 25, 13], [28, 20, 7, 19], [26, 22, 27, 21], [22, 26, 23, 25], [20, 28, 21, 27], [12, 24, 13, 23], [14, 18, 15, 17], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_95","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_953_1 # m11a_953_1 # m11a_95None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [18, 11, 19, 12], [24, 13, 25, 14], [28, 19, 7, 20], [26, 21, 27, 22], [22, 25, 23, 26], [20, 27, 21, 28], [12, 23, 13, 24], [14, 17, 15, 18], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_95","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_963_1 # 11a_963_1 # 11a_96None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [28, 20, 7, 19], [20, 15, 21, 16], [24, 13, 25, 14], [26, 24, 27, 23], [22, 28, 23, 27], [14, 21, 15, 22], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_96","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_963_1 # m11a_963_1 # m11a_96None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [28, 19, 7, 20], [20, 16, 21, 15], [24, 14, 25, 13], [26, 23, 27, 24], [22, 27, 23, 28], [14, 22, 15, 21], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_96","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_973_1 # 11a_973_1 # 11a_97None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 20, 27, 19], [22, 15, 23, 16], [24, 13, 25, 14], [14, 23, 15, 24], [12, 25, 13, 26], [28, 22, 7, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_97","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_973_1 # m11a_973_1 # m11a_97None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 19, 27, 20], [22, 16, 23, 15], [24, 14, 25, 13], [14, 24, 15, 23], [12, 26, 13, 25], [28, 21, 7, 22], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_97","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_983_1 # 11a_983_1 # 11a_98None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 22, 27, 21], [22, 15, 23, 16], [24, 13, 25, 14], [14, 23, 15, 24], [12, 25, 13, 26], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_98","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_983_1 # m11a_983_1 # m11a_98None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 21, 27, 22], [22, 16, 23, 15], [24, 14, 25, 13], [14, 24, 15, 23], [12, 26, 13, 25], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_98","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_993_1 # 11a_993_1 # 11a_99None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 14, 27, 13], [28, 23, 7, 24], [24, 19, 25, 20], [20, 27, 21, 28], [22, 16, 23, 15], [14, 22, 15, 21], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_99","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_993_1 # m11a_993_1 # m11a_99None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 13, 27, 14], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [22, 15, 23, 16], [14, 21, 15, 22], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_99","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1003_1 # 11a_1003_1 # 11a_100None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 14, 27, 13], [28, 20, 7, 19], [24, 28, 25, 27], [22, 16, 23, 15], [20, 24, 21, 23], [14, 22, 15, 21], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_100","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1003_1 # m11a_1003_1 # m11a_100None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 13, 27, 14], [28, 19, 7, 20], [24, 27, 25, 28], [22, 15, 23, 16], [20, 23, 21, 24], [14, 21, 15, 22], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_100","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1013_1 # 11a_1013_1 # 11a_101None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [18, 13, 19, 14], [14, 25, 15, 26], [24, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [28, 22, 7, 21], [22, 28, 23, 27], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_101","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1013_1 # r11a_1013_1 # r11a_101None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [27, 18, 26, 17], [19, 14, 18, 13], [15, 26, 14, 25], [25, 19, 24, 20], [21, 11, 20, 12], [13, 23, 12, 24], [7, 21, 28, 22], [23, 27, 22, 28], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_101","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1013_1 # m11a_1013_1 # m11a_101None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [18, 14, 19, 13], [14, 26, 15, 25], [24, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [28, 21, 7, 22], [22, 27, 23, 28], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_101","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1013_1 # mr11a_1013_1 # mr11a_101None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [27, 17, 26, 18], [19, 13, 18, 14], [15, 25, 14, 26], [25, 20, 24, 19], [21, 12, 20, 11], [13, 24, 12, 23], [7, 22, 28, 21], [23, 28, 22, 27], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_101","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1023_1 # 11a_1023_1 # 11a_102None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [20, 12, 21, 11], [12, 20, 13, 19], [26, 22, 27, 21], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_102","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1023_1 # r11a_1023_1 # r11a_102None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [21, 11, 20, 12], [13, 19, 12, 20], [27, 21, 26, 22], [25, 16, 24, 15], [15, 26, 14, 25], [7, 23, 28, 24], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_102","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1023_1 # m11a_1023_1 # m11a_102None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [20, 11, 21, 12], [12, 19, 13, 20], [26, 21, 27, 22], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_102","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1023_1 # mr11a_1023_1 # mr11a_102None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [21, 12, 20, 11], [13, 20, 12, 19], [27, 22, 26, 21], [25, 15, 24, 16], [15, 25, 14, 26], [7, 24, 28, 23], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_102","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1033_1 # 11a_1033_1 # 11a_103None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [20, 12, 21, 11], [12, 20, 13, 19], [26, 24, 27, 23], [24, 15, 25, 16], [14, 25, 15, 26], [28, 22, 7, 21], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_103","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1033_1 # r11a_1033_1 # r11a_103None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [21, 11, 20, 12], [13, 19, 12, 20], [27, 23, 26, 24], [25, 16, 24, 15], [15, 26, 14, 25], [7, 21, 28, 22], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_103","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1033_1 # m11a_1033_1 # m11a_103None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [20, 11, 21, 12], [12, 19, 13, 20], [26, 23, 27, 24], [24, 16, 25, 15], [14, 26, 15, 25], [28, 21, 7, 22], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_103","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1033_1 # mr11a_1033_1 # mr11a_103None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [21, 12, 20, 11], [13, 20, 12, 19], [27, 24, 26, 23], [25, 15, 24, 16], [15, 25, 14, 26], [7, 22, 28, 21], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_103","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1043_1 # 11a_1043_1 # 11a_104None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [26, 16, 27, 15], [28, 24, 7, 23], [24, 28, 25, 27], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_104","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1043_1 # r11a_1043_1 # r11a_104None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [23, 20, 22, 19], [21, 12, 20, 11], [13, 22, 12, 21], [27, 15, 26, 16], [7, 23, 28, 24], [25, 27, 24, 28], [15, 25, 14, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_104","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1043_1 # m11a_1043_1 # m11a_104None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [26, 15, 27, 16], [28, 23, 7, 24], [24, 27, 25, 28], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_104","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1043_1 # mr11a_1043_1 # mr11a_104None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [23, 19, 22, 20], [21, 11, 20, 12], [13, 21, 12, 22], [27, 16, 26, 15], [7, 24, 28, 23], [25, 28, 24, 27], [15, 26, 14, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_104","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1053_1 # 11a_1053_1 # 11a_105None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [22, 14, 23, 13], [26, 17, 27, 18], [28, 24, 7, 23], [24, 28, 25, 27], [12, 22, 13, 21], [18, 25, 19, 26], [14, 20, 15, 19], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_105","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1053_1 # m11a_1053_1 # m11a_105None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [22, 13, 23, 14], [26, 18, 27, 17], [28, 23, 7, 24], [24, 27, 25, 28], [12, 21, 13, 22], [18, 26, 19, 25], [14, 19, 15, 20], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_105","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1063_1 # 11a_1063_1 # 11a_106None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 19, 25, 20], [20, 11, 21, 12], [22, 13, 23, 14], [12, 21, 13, 22], [14, 23, 15, 24], [28, 26, 7, 25], [26, 18, 27, 17], [18, 28, 19, 27], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_106","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1063_1 # m11a_1063_1 # m11a_106None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 20, 25, 19], [20, 12, 21, 11], [22, 14, 23, 13], [12, 22, 13, 21], [14, 24, 15, 23], [28, 25, 7, 26], [26, 17, 27, 18], [18, 27, 19, 28], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_106","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1073_1 # 11a_1073_1 # 11a_107None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [22, 13, 23, 14], [14, 21, 15, 22], [28, 26, 7, 25], [26, 18, 27, 17], [18, 28, 19, 27], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_107","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1073_1 # m11a_1073_1 # m11a_107None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [22, 14, 23, 13], [14, 22, 15, 21], [28, 25, 7, 26], [26, 17, 27, 18], [18, 27, 19, 28], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_107","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1083_1 # 11a_1083_1 # 11a_108None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [20, 11, 21, 12], [24, 21, 25, 22], [22, 14, 23, 13], [12, 24, 13, 23], [14, 25, 15, 26], [28, 19, 7, 20], [18, 27, 19, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_108","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1083_1 # m11a_1083_1 # m11a_108None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [20, 12, 21, 11], [24, 22, 25, 21], [22, 13, 23, 14], [12, 23, 13, 24], [14, 26, 15, 25], [28, 20, 7, 19], [18, 28, 19, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_108","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1093_1 # 11a_1093_1 # 11a_109None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [20, 11, 21, 12], [12, 25, 13, 26], [22, 14, 23, 13], [24, 22, 25, 21], [14, 24, 15, 23], [28, 19, 7, 20], [18, 27, 19, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_109","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1093_1 # m11a_1093_1 # m11a_109None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [20, 12, 21, 11], [12, 26, 13, 25], [22, 13, 23, 14], [24, 21, 25, 22], [14, 23, 15, 24], [28, 20, 7, 19], [18, 28, 19, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_109","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1103_1 # 11a_1103_1 # 11a_110None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 19, 27, 20], [20, 11, 21, 12], [24, 21, 25, 22], [22, 14, 23, 13], [12, 24, 13, 23], [14, 25, 15, 26], [28, 17, 7, 18], [18, 27, 19, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_110","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1103_1 # m11a_1103_1 # m11a_110None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 20, 27, 19], [20, 12, 21, 11], [24, 22, 25, 21], [22, 13, 23, 14], [12, 23, 13, 24], [14, 26, 15, 25], [28, 18, 7, 17], [18, 28, 19, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_110","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1113_1 # 11a_1113_1 # 11a_111None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 19, 27, 20], [20, 11, 21, 12], [12, 25, 13, 26], [22, 14, 23, 13], [24, 22, 25, 21], [14, 24, 15, 23], [28, 17, 7, 18], [18, 27, 19, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_111","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1113_1 # m11a_1113_1 # m11a_111None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 20, 27, 19], [20, 12, 21, 11], [12, 26, 13, 25], [22, 13, 23, 14], [24, 21, 25, 22], [14, 23, 15, 24], [28, 18, 7, 17], [18, 28, 19, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_111","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1123_1 # 11a_1123_1 # 11a_112None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [28, 24, 7, 23], [16, 9, 17, 10], [8, 17, 9, 18], [24, 15, 25, 16], [18, 25, 19, 26], [20, 12, 21, 11], [22, 14, 23, 13], [12, 22, 13, 21], [26, 19, 27, 20], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_112","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1123_1 # r11a_1123_1 # r11a_112None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [7, 23, 28, 24], [17, 10, 16, 9], [9, 18, 8, 17], [25, 16, 24, 15], [19, 26, 18, 25], [21, 11, 20, 12], [23, 13, 22, 14], [13, 21, 12, 22], [27, 20, 26, 19], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_112","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1123_1 # m11a_1123_1 # m11a_112None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [28, 23, 7, 24], [16, 10, 17, 9], [8, 18, 9, 17], [24, 16, 25, 15], [18, 26, 19, 25], [20, 11, 21, 12], [22, 13, 23, 14], [12, 21, 13, 22], [26, 20, 27, 19], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_112","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1123_1 # mr11a_1123_1 # mr11a_112None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [7, 24, 28, 23], [17, 9, 16, 10], [9, 17, 8, 18], [25, 15, 24, 16], [19, 25, 18, 26], [21, 12, 20, 11], [23, 14, 22, 13], [13, 22, 12, 21], [27, 19, 26, 20], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_112","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1133_1 # 11a_1133_1 # 11a_113None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [28, 22, 7, 21], [16, 9, 17, 10], [8, 17, 9, 18], [22, 13, 23, 14], [24, 15, 25, 16], [14, 23, 15, 24], [18, 25, 19, 26], [20, 12, 21, 11], [26, 19, 27, 20], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_113","mirror":false,"reverse":false}]falsefalsechiral[]