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 # r11a_1473_1 # r11a_1473_1 # r11a_147None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [23, 11, 22, 12], [27, 13, 26, 14], [25, 20, 24, 19], [19, 24, 18, 23], [7, 18, 28, 17], [13, 25, 12, 26], [21, 28, 20, 27], [15, 21, 14, 22], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_147","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1473_1 # m11a_1473_1 # m11a_147None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 11, 23, 12], [26, 13, 27, 14], [24, 20, 25, 19], [18, 24, 19, 23], [28, 18, 7, 17], [12, 25, 13, 26], [20, 28, 21, 27], [14, 21, 15, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_147","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1473_1 # mr11a_1473_1 # mr11a_147None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [23, 12, 22, 11], [27, 14, 26, 13], [25, 19, 24, 20], [19, 23, 18, 24], [7, 17, 28, 18], [13, 26, 12, 25], [21, 27, 20, 28], [15, 22, 14, 21], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_147","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1483_1 # 11a_1483_1 # 11a_148None14truecomposite1[[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], [22, 12, 23, 11], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [26, 14, 27, 13], [12, 22, 13, 21], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_148","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1483_1 # m11a_1483_1 # m11a_148None14truecomposite1[[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], [22, 11, 23, 12], [28, 23, 7, 24], [24, 19, 25, 20], [20, 27, 21, 28], [26, 13, 27, 14], [12, 21, 13, 22], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_148","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1493_1 # 11a_1493_1 # 11a_149None14truecomposite1[[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], [22, 12, 23, 11], [28, 24, 7, 23], [24, 20, 25, 19], [26, 13, 27, 14], [20, 26, 21, 25], [12, 27, 13, 28], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_149","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1493_1 # r11a_1493_1 # r11a_149None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 15, 18, 16], [17, 10, 16, 9], [9, 18, 8, 17], [23, 11, 22, 12], [7, 23, 28, 24], [25, 19, 24, 20], [27, 14, 26, 13], [21, 25, 20, 26], [13, 28, 12, 27], [15, 21, 14, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_149","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1493_1 # m11a_1493_1 # m11a_149None14truecomposite1[[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], [22, 11, 23, 12], [28, 23, 7, 24], [24, 19, 25, 20], [26, 14, 27, 13], [20, 25, 21, 26], [12, 28, 13, 27], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_149","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1493_1 # mr11a_1493_1 # mr11a_149None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 16, 18, 15], [17, 9, 16, 10], [9, 17, 8, 18], [23, 12, 22, 11], [7, 24, 28, 23], [25, 20, 24, 19], [27, 13, 26, 14], [21, 26, 20, 25], [13, 27, 12, 28], [15, 22, 14, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_149","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1503_1 # 11a_1503_1 # 11a_150None14truecomposite1[[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], [24, 19, 25, 20], [14, 23, 15, 24], [12, 27, 13, 28], [22, 11, 23, 12], [26, 13, 27, 14], [28, 21, 7, 22], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_150","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1503_1 # r11a_1503_1 # r11a_150None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 15, 18, 16], [17, 10, 16, 9], [9, 18, 8, 17], [25, 20, 24, 19], [15, 24, 14, 23], [13, 28, 12, 27], [23, 12, 22, 11], [27, 14, 26, 13], [7, 22, 28, 21], [21, 26, 20, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_150","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1503_1 # m11a_1503_1 # m11a_150None14truecomposite1[[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], [24, 20, 25, 19], [14, 24, 15, 23], [12, 28, 13, 27], [22, 12, 23, 11], [26, 14, 27, 13], [28, 22, 7, 21], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_150","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1503_1 # mr11a_1503_1 # mr11a_150None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 16, 18, 15], [17, 9, 16, 10], [9, 17, 8, 18], [25, 19, 24, 20], [15, 23, 14, 24], [13, 27, 12, 28], [23, 11, 22, 12], [27, 13, 26, 14], [7, 21, 28, 22], [21, 25, 20, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_150","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1513_1 # 11a_1513_1 # 11a_151None14truecomposite1[[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], [22, 11, 23, 12], [26, 13, 27, 14], [12, 25, 13, 26], [14, 27, 15, 28], [24, 20, 25, 19], [18, 24, 19, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_151","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1513_1 # r11a_1513_1 # r11a_151None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 15, 20, 16], [17, 10, 16, 9], [9, 18, 8, 17], [7, 22, 28, 21], [23, 12, 22, 11], [27, 14, 26, 13], [13, 26, 12, 25], [15, 28, 14, 27], [25, 19, 24, 20], [19, 23, 18, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_151","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1513_1 # m11a_1513_1 # m11a_151None14truecomposite1[[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], [22, 12, 23, 11], [26, 14, 27, 13], [12, 26, 13, 25], [14, 28, 15, 27], [24, 19, 25, 20], [18, 23, 19, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_151","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1513_1 # mr11a_1513_1 # mr11a_151None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 16, 20, 15], [17, 9, 16, 10], [9, 17, 8, 18], [7, 21, 28, 22], [23, 11, 22, 12], [27, 13, 26, 14], [13, 25, 12, 26], [15, 27, 14, 28], [25, 20, 24, 19], [19, 24, 18, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_151","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1523_1 # 11a_1523_1 # 11a_152None14truecomposite1[[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], [22, 11, 23, 12], [12, 27, 13, 28], [26, 13, 27, 14], [14, 25, 15, 26], [24, 20, 25, 19], [18, 24, 19, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_152","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1523_1 # r11a_1523_1 # r11a_152None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 15, 20, 16], [17, 10, 16, 9], [9, 18, 8, 17], [7, 22, 28, 21], [23, 12, 22, 11], [13, 28, 12, 27], [27, 14, 26, 13], [15, 26, 14, 25], [25, 19, 24, 20], [19, 23, 18, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_152","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1523_1 # m11a_1523_1 # m11a_152None14truecomposite1[[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], [22, 12, 23, 11], [12, 28, 13, 27], [26, 14, 27, 13], [14, 26, 15, 25], [24, 19, 25, 20], [18, 23, 19, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_152","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1523_1 # mr11a_1523_1 # mr11a_152None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 16, 20, 15], [17, 9, 16, 10], [9, 17, 8, 18], [7, 21, 28, 22], [23, 11, 22, 12], [13, 27, 12, 28], [27, 13, 26, 14], [15, 25, 14, 26], [25, 20, 24, 19], [19, 24, 18, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_152","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1533_1 # 11a_1533_1 # 11a_153None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 12, 25, 11], [26, 19, 27, 20], [28, 21, 7, 22], [20, 27, 21, 28], [22, 25, 23, 26], [18, 14, 19, 13], [14, 18, 15, 17], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_153","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1533_1 # m11a_1533_1 # m11a_153None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 11, 25, 12], [26, 20, 27, 19], [28, 22, 7, 21], [20, 28, 21, 27], [22, 26, 23, 25], [18, 13, 19, 14], [14, 17, 15, 18], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_153","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1543_1 # 11a_1543_1 # 11a_154None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 12, 25, 11], [28, 19, 7, 20], [26, 21, 27, 22], [22, 25, 23, 26], [20, 27, 21, 28], [18, 14, 19, 13], [14, 18, 15, 17], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_154","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1543_1 # m11a_1543_1 # m11a_154None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 11, 25, 12], [28, 20, 7, 19], [26, 22, 27, 21], [22, 26, 23, 25], [20, 28, 21, 27], [18, 13, 19, 14], [14, 17, 15, 18], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_154","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1553_1 # 11a_1553_1 # 11a_155None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [18, 13, 19, 14], [14, 21, 15, 22], [26, 19, 27, 20], [12, 27, 13, 28], [24, 11, 25, 12], [20, 25, 21, 26], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_155","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1553_1 # m11a_1553_1 # m11a_155None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [18, 14, 19, 13], [14, 22, 15, 21], [26, 20, 27, 19], [12, 28, 13, 27], [24, 12, 25, 11], [20, 26, 21, 25], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_155","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1563_1 # 11a_1563_1 # 11a_156None14truecomposite1[[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], [26, 21, 27, 22], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [22, 27, 23, 28], [20, 16, 21, 15], [14, 20, 15, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_156","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1563_1 # r11a_1563_1 # r11a_156None14truecomposite1[[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], [27, 22, 26, 21], [25, 12, 24, 11], [13, 26, 12, 25], [7, 24, 28, 23], [23, 28, 22, 27], [21, 15, 20, 16], [15, 19, 14, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_156","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1563_1 # m11a_1563_1 # m11a_156None14truecomposite1[[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], [26, 22, 27, 21], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [22, 28, 23, 27], [20, 15, 21, 16], [14, 19, 15, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_156","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1563_1 # mr11a_1563_1 # mr11a_156None14truecomposite1[[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], [27, 21, 26, 22], [25, 11, 24, 12], [13, 25, 12, 26], [7, 23, 28, 24], [23, 27, 22, 28], [21, 16, 20, 15], [15, 20, 14, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_156","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1573_1 # 11a_1573_1 # 11a_157None14truecomposite1[[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], [26, 19, 27, 20], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [20, 27, 21, 28], [22, 16, 23, 15], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_157","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1573_1 # r11a_1573_1 # r11a_157None14truecomposite1[[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], [27, 20, 26, 19], [25, 12, 24, 11], [13, 26, 12, 25], [7, 24, 28, 23], [21, 28, 20, 27], [23, 15, 22, 16], [15, 21, 14, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_157","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1573_1 # m11a_1573_1 # m11a_157None14truecomposite1[[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], [26, 20, 27, 19], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [20, 28, 21, 27], [22, 15, 23, 16], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_157","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1573_1 # mr11a_1573_1 # mr11a_157None14truecomposite1[[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], [27, 19, 26, 20], [25, 11, 24, 12], [13, 25, 12, 26], [7, 23, 28, 24], [21, 27, 20, 28], [23, 16, 22, 15], [15, 22, 14, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_157","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1583_1 # 11a_1583_1 # 11a_158None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [24, 11, 25, 12], [20, 13, 21, 14], [14, 21, 15, 22], [12, 25, 13, 26], [18, 28, 19, 27], [26, 20, 27, 19], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_158","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1583_1 # m11a_1583_1 # m11a_158None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [24, 12, 25, 11], [20, 14, 21, 13], [14, 22, 15, 21], [12, 26, 13, 25], [18, 27, 19, 28], [26, 19, 27, 20], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_158","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1593_1 # 11a_1593_1 # 11a_159None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 12, 25, 11], [28, 17, 7, 18], [26, 21, 27, 22], [22, 25, 23, 26], [18, 27, 19, 28], [20, 14, 21, 13], [14, 20, 15, 19], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_159","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1593_1 # m11a_1593_1 # m11a_159None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 11, 25, 12], [28, 18, 7, 17], [26, 22, 27, 21], [22, 26, 23, 25], [18, 28, 19, 27], [20, 13, 21, 14], [14, 19, 15, 20], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_159","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1603_1 # 11a_1603_1 # 11a_160None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 13, 21, 14], [28, 17, 7, 18], [22, 28, 23, 27], [26, 20, 27, 19], [24, 11, 25, 12], [12, 25, 13, 26], [14, 21, 15, 22], [18, 24, 19, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_160","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1603_1 # m11a_1603_1 # m11a_160None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 14, 21, 13], [28, 18, 7, 17], [22, 27, 23, 28], [26, 19, 27, 20], [24, 12, 25, 11], [12, 26, 13, 25], [14, 22, 15, 21], [18, 23, 19, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_160","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1613_1 # 11a_1613_1 # 11a_161None14truecomposite1[[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], [20, 14, 21, 13], [14, 20, 15, 19], [26, 21, 27, 22], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_161","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1613_1 # m11a_1613_1 # m11a_161None14truecomposite1[[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], [20, 13, 21, 14], [14, 19, 15, 20], [26, 22, 27, 21], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_161","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1623_1 # 11a_1623_1 # 11a_162None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [22, 16, 23, 15], [16, 9, 17, 10], [8, 17, 9, 18], [28, 23, 7, 24], [24, 11, 25, 12], [20, 13, 21, 14], [12, 19, 13, 20], [14, 27, 15, 28], [26, 22, 27, 21], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_162","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1623_1 # r11a_1623_1 # r11a_162None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [23, 15, 22, 16], [17, 10, 16, 9], [9, 18, 8, 17], [7, 24, 28, 23], [25, 12, 24, 11], [21, 14, 20, 13], [13, 20, 12, 19], [15, 28, 14, 27], [27, 21, 26, 22], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_162","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1623_1 # m11a_1623_1 # m11a_162None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [22, 15, 23, 16], [16, 10, 17, 9], [8, 18, 9, 17], [28, 24, 7, 23], [24, 12, 25, 11], [20, 14, 21, 13], [12, 20, 13, 19], [14, 28, 15, 27], [26, 21, 27, 22], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_162","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1623_1 # mr11a_1623_1 # mr11a_162None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [23, 16, 22, 15], [17, 9, 16, 10], [9, 17, 8, 18], [7, 23, 28, 24], [25, 11, 24, 12], [21, 13, 20, 14], [13, 19, 12, 20], [15, 27, 14, 28], [27, 22, 26, 21], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_162","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1633_1 # 11a_1633_1 # 11a_163None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [16, 9, 17, 10], [8, 17, 9, 18], [28, 23, 7, 24], [24, 11, 25, 12], [12, 27, 13, 28], [22, 16, 23, 15], [26, 20, 27, 19], [14, 22, 15, 21], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_163","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1633_1 # r11a_1633_1 # r11a_163None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [17, 10, 16, 9], [9, 18, 8, 17], [7, 24, 28, 23], [25, 12, 24, 11], [13, 28, 12, 27], [23, 15, 22, 16], [27, 19, 26, 20], [15, 21, 14, 22], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_163","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1633_1 # m11a_1633_1 # m11a_163None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [16, 10, 17, 9], [8, 18, 9, 17], [28, 24, 7, 23], [24, 12, 25, 11], [12, 28, 13, 27], [22, 15, 23, 16], [26, 19, 27, 20], [14, 21, 15, 22], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_163","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1633_1 # mr11a_1633_1 # mr11a_163None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [17, 9, 16, 10], [9, 17, 8, 18], [7, 23, 28, 24], [25, 11, 24, 12], [13, 27, 12, 28], [23, 16, 22, 15], [27, 20, 26, 19], [15, 22, 14, 21], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_163","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1643_1 # 11a_1643_1 # 11a_164None14truecomposite1[[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, 15, 23, 16], [18, 23, 19, 24], [20, 14, 21, 13], [24, 12, 25, 11], [12, 26, 13, 25], [26, 19, 27, 20], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_164","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1643_1 # r11a_1643_1 # r11a_164None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [7, 21, 28, 22], [17, 10, 16, 9], [9, 18, 8, 17], [23, 16, 22, 15], [19, 24, 18, 23], [21, 13, 20, 14], [25, 11, 24, 12], [13, 25, 12, 26], [27, 20, 26, 19], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_164","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1643_1 # m11a_1643_1 # m11a_164None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [28, 21, 7, 22], [16, 10, 17, 9], [8, 18, 9, 17], [22, 16, 23, 15], [18, 24, 19, 23], [20, 13, 21, 14], [24, 11, 25, 12], [12, 25, 13, 26], [26, 20, 27, 19], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_164","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1643_1 # mr11a_1643_1 # mr11a_164None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [7, 22, 28, 21], [17, 9, 16, 10], [9, 17, 8, 18], [23, 15, 22, 16], [19, 23, 18, 24], [21, 14, 20, 13], [25, 12, 24, 11], [13, 26, 12, 25], [27, 19, 26, 20], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_164","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1653_1 # 11a_1653_1 # 11a_165None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 12, 25, 11], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [14, 22, 15, 21], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_165","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1653_1 # m11a_1653_1 # m11a_165None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 11, 25, 12], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [14, 21, 15, 22], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_165","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1663_1 # 11a_1663_1 # 11a_166None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [24, 12, 25, 11], [28, 17, 7, 18], [26, 19, 27, 20], [20, 25, 21, 26], [18, 27, 19, 28], [22, 14, 23, 13], [14, 22, 15, 21], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_166","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1663_1 # m11a_1663_1 # m11a_166None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [24, 11, 25, 12], [28, 18, 7, 17], [26, 20, 27, 19], [20, 26, 21, 25], [18, 28, 19, 27], [22, 13, 23, 14], [14, 21, 15, 22], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_166","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1673_1 # 11a_1673_1 # 11a_167None14truecomposite1[[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], [14, 20, 15, 19], [28, 23, 7, 24], [24, 11, 25, 12], [20, 26, 21, 25], [22, 14, 23, 13], [26, 22, 27, 21], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_167","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1673_1 # r11a_1673_1 # r11a_167None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 15, 18, 16], [17, 10, 16, 9], [9, 18, 8, 17], [15, 19, 14, 20], [7, 24, 28, 23], [25, 12, 24, 11], [21, 25, 20, 26], [23, 13, 22, 14], [27, 21, 26, 22], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_167","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1673_1 # m11a_1673_1 # m11a_167None14truecomposite1[[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], [14, 19, 15, 20], [28, 24, 7, 23], [24, 12, 25, 11], [20, 25, 21, 26], [22, 13, 23, 14], [26, 21, 27, 22], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_167","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1673_1 # mr11a_1673_1 # mr11a_167None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 16, 18, 15], [17, 9, 16, 10], [9, 17, 8, 18], [15, 20, 14, 19], [7, 23, 28, 24], [25, 11, 24, 12], [21, 26, 20, 25], [23, 14, 22, 13], [27, 22, 26, 21], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_167","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1683_1 # 11a_1683_1 # 11a_168None14truecomposite1[[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], [22, 14, 23, 13], [14, 22, 15, 21], [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":"11a_168","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1683_1 # r11a_1683_1 # r11a_168None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 15, 20, 16], [17, 10, 16, 9], [9, 18, 8, 17], [23, 13, 22, 14], [15, 21, 14, 22], [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":"11a_168","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1683_1 # m11a_1683_1 # m11a_168None14truecomposite1[[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], [22, 13, 23, 14], [14, 21, 15, 22], [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":"11a_168","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1683_1 # mr11a_1683_1 # mr11a_168None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 16, 20, 15], [17, 9, 16, 10], [9, 17, 8, 18], [23, 14, 22, 13], [15, 22, 14, 21], [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":"11a_168","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1693_1 # 11a_1693_1 # 11a_169None14truecomposite1[[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], [24, 11, 25, 12], [14, 27, 15, 28], [22, 13, 23, 14], [12, 23, 13, 24], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_169","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1693_1 # r11a_1693_1 # r11a_169None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 15, 20, 16], [17, 10, 16, 9], [9, 18, 8, 17], [7, 22, 28, 21], [25, 12, 24, 11], [15, 28, 14, 27], [23, 14, 22, 13], [13, 24, 12, 23], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_169","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1693_1 # m11a_1693_1 # m11a_169None14truecomposite1[[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], [24, 12, 25, 11], [14, 28, 15, 27], [22, 14, 23, 13], [12, 24, 13, 23], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_169","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1693_1 # mr11a_1693_1 # mr11a_169None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 16, 20, 15], [17, 9, 16, 10], [9, 17, 8, 18], [7, 21, 28, 22], [25, 11, 24, 12], [15, 27, 14, 28], [23, 13, 22, 14], [13, 23, 12, 24], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_169","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1703_1 # 11a_1703_1 # 11a_170None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [24, 11, 25, 12], [14, 21, 15, 22], [20, 25, 21, 26], [26, 14, 27, 13], [12, 20, 13, 19], [18, 28, 19, 27], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_170","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1703_1 # m11a_1703_1 # m11a_170None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [24, 12, 25, 11], [14, 22, 15, 21], [20, 26, 21, 25], [26, 13, 27, 14], [12, 19, 13, 20], [18, 27, 19, 28], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_170","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1713_1 # 11a_1713_1 # 11a_171None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 14, 27, 13], [24, 11, 25, 12], [20, 25, 21, 26], [28, 17, 7, 18], [12, 20, 13, 19], [22, 28, 23, 27], [14, 21, 15, 22], [18, 24, 19, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_171","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1713_1 # m11a_1713_1 # m11a_171None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 13, 27, 14], [24, 12, 25, 11], [20, 26, 21, 25], [28, 18, 7, 17], [12, 19, 13, 20], [22, 27, 23, 28], [14, 22, 15, 21], [18, 23, 19, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_171","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1723_1 # 11a_1723_1 # 11a_172None14truecomposite1[[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, 14, 7, 13], [24, 11, 25, 12], [22, 28, 23, 27], [12, 23, 13, 24], [14, 22, 15, 21], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_172","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1723_1 # r11a_1723_1 # r11a_172None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 15, 20, 16], [17, 10, 16, 9], [9, 18, 8, 17], [7, 13, 28, 14], [25, 12, 24, 11], [23, 27, 22, 28], [13, 24, 12, 23], [15, 21, 14, 22], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_172","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1723_1 # m11a_1723_1 # m11a_172None14truecomposite1[[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, 13, 7, 14], [24, 12, 25, 11], [22, 27, 23, 28], [12, 24, 13, 23], [14, 21, 15, 22], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_172","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1723_1 # mr11a_1723_1 # mr11a_172None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 16, 20, 15], [17, 9, 16, 10], [9, 17, 8, 18], [7, 14, 28, 13], [25, 11, 24, 12], [23, 28, 22, 27], [13, 23, 12, 24], [15, 22, 14, 21], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_172","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1733_1 # 11a_1733_1 # 11a_173None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 12, 27, 11], [28, 21, 7, 22], [22, 27, 23, 28], [20, 14, 21, 13], [24, 19, 25, 20], [18, 25, 19, 26], [14, 18, 15, 17], [12, 24, 13, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_173","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1733_1 # m11a_1733_1 # m11a_173None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 11, 27, 12], [28, 22, 7, 21], [22, 28, 23, 27], [20, 13, 21, 14], [24, 20, 25, 19], [18, 26, 19, 25], [14, 17, 15, 18], [12, 23, 13, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_173","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1743_1 # 11a_1743_1 # 11a_174None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [22, 13, 23, 14], [12, 21, 13, 22], [26, 23, 27, 24], [24, 16, 25, 15], [14, 26, 15, 25], [16, 27, 17, 28], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_174","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1743_1 # m11a_1743_1 # m11a_174None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [22, 14, 23, 13], [12, 22, 13, 21], [26, 24, 27, 23], [24, 15, 25, 16], [14, 25, 15, 26], [16, 28, 17, 27], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_174","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1753_1 # 11a_1753_1 # 11a_175None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [22, 13, 23, 14], [12, 21, 13, 22], [14, 27, 15, 28], [24, 16, 25, 15], [26, 24, 27, 23], [16, 26, 17, 25], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_175","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1753_1 # m11a_1753_1 # m11a_175None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [22, 14, 23, 13], [12, 22, 13, 21], [14, 28, 15, 27], [24, 15, 25, 16], [26, 23, 27, 24], [16, 25, 17, 26], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_175","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1763_1 # 11a_1763_1 # 11a_176None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [26, 21, 27, 22], [22, 14, 23, 13], [12, 26, 13, 25], [24, 16, 25, 15], [14, 24, 15, 23], [16, 27, 17, 28], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_176","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1763_1 # m11a_1763_1 # m11a_176None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [26, 22, 27, 21], [22, 13, 23, 14], [12, 25, 13, 26], [24, 15, 25, 16], [14, 23, 15, 24], [16, 28, 17, 27], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_176","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1773_1 # 11a_1773_1 # 11a_177None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [12, 27, 13, 28], [22, 14, 23, 13], [26, 22, 27, 21], [24, 16, 25, 15], [14, 24, 15, 23], [16, 26, 17, 25], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_177","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1773_1 # m11a_1773_1 # m11a_177None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [12, 28, 13, 27], [22, 13, 23, 14], [26, 21, 27, 22], [24, 15, 25, 16], [14, 23, 15, 24], [16, 25, 17, 26], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_177","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1783_1 # 11a_1783_1 # 11a_178None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [12, 27, 13, 28], [22, 14, 23, 13], [26, 22, 27, 21], [14, 26, 15, 25], [24, 16, 25, 15], [16, 24, 17, 23], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_178","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1783_1 # m11a_1783_1 # m11a_178None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [12, 28, 13, 27], [22, 13, 23, 14], [26, 21, 27, 22], [14, 25, 15, 26], [24, 15, 25, 16], [16, 23, 17, 24], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_178","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1793_1 # 11a_1793_1 # 11a_179None14truecomposite1[[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], [22, 14, 23, 13], [24, 16, 25, 15], [12, 22, 13, 21], [14, 24, 15, 23], [28, 26, 7, 25], [26, 17, 27, 18], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_179","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1793_1 # m11a_1793_1 # m11a_179None14truecomposite1[[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], [22, 13, 23, 14], [24, 15, 25, 16], [12, 21, 13, 22], [14, 23, 15, 24], [28, 25, 7, 26], [26, 18, 27, 17], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_179","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1803_1 # 11a_1803_1 # 11a_180None14truecomposite1[[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], [22, 14, 23, 13], [12, 22, 13, 21], [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":"11a_180","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1803_1 # m11a_1803_1 # m11a_180None14truecomposite1[[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], [22, 13, 23, 14], [12, 21, 13, 22], [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":"11a_180","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1813_1 # 11a_1813_1 # 11a_181None14truecomposite1[[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], [24, 16, 25, 15], [12, 24, 13, 23], [22, 14, 23, 13], [14, 22, 15, 21], [28, 26, 7, 25], [26, 17, 27, 18], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_181","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1813_1 # m11a_1813_1 # m11a_181None14truecomposite1[[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], [24, 15, 25, 16], [12, 23, 13, 24], [22, 13, 23, 14], [14, 21, 15, 22], [28, 25, 7, 26], [26, 18, 27, 17], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_181","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1823_1 # 11a_1823_1 # 11a_182None14truecomposite1[[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, 22, 7, 21], [22, 13, 23, 14], [12, 27, 13, 28], [24, 15, 25, 16], [26, 17, 27, 18], [14, 23, 15, 24], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_182","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1823_1 # m11a_1823_1 # m11a_182None14truecomposite1[[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, 21, 7, 22], [22, 14, 23, 13], [12, 28, 13, 27], [24, 16, 25, 15], [26, 18, 27, 17], [14, 24, 15, 23], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_182","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1833_1 # 11a_1833_1 # 11a_183None14truecomposite1[[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, 22, 7, 21], [22, 13, 23, 14], [12, 27, 13, 28], [26, 17, 27, 18], [14, 25, 15, 26], [24, 15, 25, 16], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_183","mirror":false,"reverse":false}]falsetruereversible[]