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
m3_1 # m11a_244m3_1 # m11a_244m3_1 # m11a_244None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [20, 9, 21, 10], [24, 11, 25, 12], [22, 15, 23, 16], [28, 13, 7, 14], [26, 17, 27, 18], [16, 27, 17, 28], [14, 21, 15, 22], [12, 25, 13, 26], [18, 23, 19, 24], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_244","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_244m3_1 # mr11a_244m3_1 # mr11a_244None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [21, 10, 20, 9], [25, 12, 24, 11], [23, 16, 22, 15], [7, 14, 28, 13], [27, 18, 26, 17], [17, 28, 16, 27], [15, 22, 14, 21], [13, 26, 12, 25], [19, 24, 18, 23], [9, 20, 8, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_244","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_245m3_1 # 11a_245m3_1 # 11a_245None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [20, 10, 21, 9], [26, 12, 27, 11], [28, 14, 7, 13], [12, 28, 13, 27], [22, 16, 23, 15], [24, 18, 25, 17], [16, 24, 17, 23], [18, 22, 19, 21], [14, 26, 15, 25], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_245","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_245m3_1 # m11a_245m3_1 # m11a_245None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [20, 9, 21, 10], [26, 11, 27, 12], [28, 13, 7, 14], [12, 27, 13, 28], [22, 15, 23, 16], [24, 17, 25, 18], [16, 23, 17, 24], [18, 21, 19, 22], [14, 25, 15, 26], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_245","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_246m3_1 # 11a_246m3_1 # 11a_246None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [20, 10, 21, 9], [26, 12, 27, 11], [28, 14, 7, 13], [12, 28, 13, 27], [24, 16, 25, 15], [22, 18, 23, 17], [18, 22, 19, 21], [16, 24, 17, 23], [14, 26, 15, 25], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_246","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_246m3_1 # m11a_246m3_1 # m11a_246None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [20, 9, 21, 10], [26, 11, 27, 12], [28, 13, 7, 14], [12, 27, 13, 28], [24, 15, 25, 16], [22, 17, 23, 18], [18, 21, 19, 22], [16, 23, 17, 24], [14, 25, 15, 26], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_246","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_247m3_1 # 11a_247m3_1 # 11a_247None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [20, 10, 21, 9], [28, 12, 7, 11], [26, 14, 27, 13], [24, 16, 25, 15], [22, 18, 23, 17], [18, 22, 19, 21], [16, 24, 17, 23], [14, 26, 15, 25], [12, 28, 13, 27], [8, 20, 9, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_247","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_247m3_1 # m11a_247m3_1 # m11a_247None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [20, 9, 21, 10], [28, 11, 7, 12], [26, 13, 27, 14], [24, 15, 25, 16], [22, 17, 23, 18], [18, 21, 19, 22], [16, 23, 17, 24], [14, 25, 15, 26], [12, 27, 13, 28], [8, 19, 9, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_247","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_248m3_1 # 11a_248m3_1 # 11a_248None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 14, 25, 13], [14, 9, 15, 10], [8, 23, 9, 24], [22, 15, 23, 16], [16, 12, 17, 11], [10, 22, 11, 21], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_248","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_248m3_1 # m11a_248m3_1 # m11a_248None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 13, 25, 14], [14, 10, 15, 9], [8, 24, 9, 23], [22, 16, 23, 15], [16, 11, 17, 12], [10, 21, 11, 22], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_248","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_249m3_1 # 11a_249m3_1 # 11a_249None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 14, 25, 13], [14, 9, 15, 10], [8, 23, 9, 24], [22, 15, 23, 16], [16, 12, 17, 11], [10, 22, 11, 21], [28, 17, 7, 18], [26, 19, 27, 20], [20, 25, 21, 26], [18, 27, 19, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_249","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_249m3_1 # m11a_249m3_1 # m11a_249None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 13, 25, 14], [14, 10, 15, 9], [8, 24, 9, 23], [22, 16, 23, 15], [16, 11, 17, 12], [10, 21, 11, 22], [28, 18, 7, 17], [26, 20, 27, 19], [20, 26, 21, 25], [18, 28, 19, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_249","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_250m3_1 # 11a_250m3_1 # 11a_250None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [20, 16, 21, 15], [18, 11, 19, 12], [10, 19, 11, 20], [26, 22, 27, 21], [24, 17, 25, 18], [16, 25, 17, 26], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_250","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_250m3_1 # m11a_250m3_1 # m11a_250None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [20, 15, 21, 16], [18, 12, 19, 11], [10, 20, 11, 19], [26, 21, 27, 22], [24, 18, 25, 17], [16, 26, 17, 25], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_250","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_251m3_1 # 11a_251m3_1 # 11a_251None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [28, 24, 7, 23], [18, 11, 19, 12], [10, 19, 11, 20], [24, 17, 25, 18], [20, 25, 21, 26], [22, 16, 23, 15], [26, 21, 27, 22], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_251","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_251m3_1 # r11a_251m3_1 # r11a_251None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [15, 9, 14, 10], [9, 13, 8, 14], [7, 23, 28, 24], [19, 12, 18, 11], [11, 20, 10, 19], [25, 18, 24, 17], [21, 26, 20, 25], [23, 15, 22, 16], [27, 22, 26, 21], [17, 28, 16, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_251","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_251m3_1 # m11a_251m3_1 # m11a_251None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [28, 23, 7, 24], [18, 12, 19, 11], [10, 20, 11, 19], [24, 18, 25, 17], [20, 26, 21, 25], [22, 15, 23, 16], [26, 22, 27, 21], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_251","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_251m3_1 # mr11a_251m3_1 # mr11a_251None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [15, 10, 14, 9], [9, 14, 8, 13], [7, 24, 28, 23], [19, 11, 18, 12], [11, 19, 10, 20], [25, 17, 24, 18], [21, 25, 20, 26], [23, 16, 22, 15], [27, 21, 26, 22], [17, 27, 16, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_251","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_252m3_1 # 11a_252m3_1 # 11a_252None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [22, 18, 23, 17], [18, 11, 19, 12], [10, 19, 11, 20], [28, 23, 7, 24], [24, 15, 25, 16], [16, 27, 17, 28], [26, 22, 27, 21], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_252","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_252m3_1 # r11a_252m3_1 # r11a_252None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [15, 9, 14, 10], [9, 13, 8, 14], [23, 17, 22, 18], [19, 12, 18, 11], [11, 20, 10, 19], [7, 24, 28, 23], [25, 16, 24, 15], [17, 28, 16, 27], [27, 21, 26, 22], [21, 25, 20, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_252","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_252m3_1 # m11a_252m3_1 # m11a_252None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [22, 17, 23, 18], [18, 12, 19, 11], [10, 20, 11, 19], [28, 24, 7, 23], [24, 16, 25, 15], [16, 28, 17, 27], [26, 21, 27, 22], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_252","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_252m3_1 # mr11a_252m3_1 # mr11a_252None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [15, 10, 14, 9], [9, 14, 8, 13], [23, 18, 22, 17], [19, 11, 18, 12], [11, 19, 10, 20], [7, 23, 28, 24], [25, 15, 24, 16], [17, 27, 16, 28], [27, 22, 26, 21], [21, 26, 20, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_252","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_253m3_1 # 11a_253m3_1 # 11a_253None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [24, 15, 25, 16], [18, 11, 19, 12], [10, 19, 11, 20], [20, 26, 21, 25], [26, 18, 27, 17], [28, 23, 7, 24], [22, 27, 23, 28], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_253","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_253m3_1 # r11a_253m3_1 # r11a_253None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [15, 9, 14, 10], [9, 13, 8, 14], [25, 16, 24, 15], [19, 12, 18, 11], [11, 20, 10, 19], [21, 25, 20, 26], [27, 17, 26, 18], [7, 24, 28, 23], [23, 28, 22, 27], [17, 22, 16, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_253","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_253m3_1 # m11a_253m3_1 # m11a_253None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [24, 16, 25, 15], [18, 12, 19, 11], [10, 20, 11, 19], [20, 25, 21, 26], [26, 17, 27, 18], [28, 24, 7, 23], [22, 28, 23, 27], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_253","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_253m3_1 # mr11a_253m3_1 # mr11a_253None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [15, 10, 14, 9], [9, 14, 8, 13], [25, 15, 24, 16], [19, 11, 18, 12], [11, 19, 10, 20], [21, 26, 20, 25], [27, 18, 26, 17], [7, 23, 28, 24], [23, 27, 22, 28], [17, 21, 16, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_253","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_254m3_1 # 11a_254m3_1 # 11a_254None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [26, 16, 27, 15], [18, 11, 19, 12], [10, 19, 11, 20], [24, 17, 25, 18], [20, 25, 21, 26], [16, 21, 17, 22], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_254","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_254m3_1 # r11a_254m3_1 # r11a_254None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [15, 9, 14, 10], [9, 13, 8, 14], [27, 15, 26, 16], [19, 12, 18, 11], [11, 20, 10, 19], [25, 18, 24, 17], [21, 26, 20, 25], [17, 22, 16, 21], [7, 23, 28, 24], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_254","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_254m3_1 # m11a_254m3_1 # m11a_254None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [26, 15, 27, 16], [18, 12, 19, 11], [10, 20, 11, 19], [24, 18, 25, 17], [20, 26, 21, 25], [16, 22, 17, 21], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_254","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_254m3_1 # mr11a_254m3_1 # mr11a_254None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [15, 10, 14, 9], [9, 14, 8, 13], [27, 16, 26, 15], [19, 11, 18, 12], [11, 19, 10, 20], [25, 17, 24, 18], [21, 25, 20, 26], [17, 21, 16, 22], [7, 24, 28, 23], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_254","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_255m3_1 # 11a_255m3_1 # 11a_255None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [26, 14, 27, 13], [14, 9, 15, 10], [8, 25, 9, 26], [22, 15, 23, 16], [18, 12, 19, 11], [10, 22, 11, 21], [24, 17, 25, 18], [16, 23, 17, 24], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_255","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_255m3_1 # r11a_255m3_1 # r11a_255None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [27, 13, 26, 14], [15, 10, 14, 9], [9, 26, 8, 25], [23, 16, 22, 15], [19, 11, 18, 12], [11, 21, 10, 22], [25, 18, 24, 17], [17, 24, 16, 23], [7, 20, 28, 19], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_255","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_255m3_1 # m11a_255m3_1 # m11a_255None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [26, 13, 27, 14], [14, 10, 15, 9], [8, 26, 9, 25], [22, 16, 23, 15], [18, 11, 19, 12], [10, 21, 11, 22], [24, 18, 25, 17], [16, 24, 17, 23], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_255","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_255m3_1 # mr11a_255m3_1 # mr11a_255None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [27, 14, 26, 13], [15, 9, 14, 10], [9, 25, 8, 26], [23, 15, 22, 16], [19, 12, 18, 11], [11, 22, 10, 21], [25, 17, 24, 18], [17, 23, 16, 24], [7, 19, 28, 20], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_255","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_256m3_1 # 11a_256m3_1 # 11a_256None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [26, 14, 27, 13], [14, 9, 15, 10], [8, 25, 9, 26], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [24, 15, 25, 16], [16, 23, 17, 24], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_256","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_256m3_1 # r11a_256m3_1 # r11a_256None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [27, 13, 26, 14], [15, 10, 14, 9], [9, 26, 8, 25], [23, 18, 22, 17], [19, 11, 18, 12], [11, 21, 10, 22], [25, 16, 24, 15], [17, 24, 16, 23], [7, 20, 28, 19], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_256","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_256m3_1 # m11a_256m3_1 # m11a_256None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [26, 13, 27, 14], [14, 10, 15, 9], [8, 26, 9, 25], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [24, 16, 25, 15], [16, 24, 17, 23], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_256","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_256m3_1 # mr11a_256m3_1 # mr11a_256None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [27, 14, 26, 13], [15, 9, 14, 10], [9, 25, 8, 26], [23, 17, 22, 18], [19, 12, 18, 11], [11, 22, 10, 21], [25, 15, 24, 16], [17, 23, 16, 24], [7, 19, 28, 20], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_256","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_257m3_1 # 11a_257m3_1 # 11a_257None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [22, 16, 23, 15], [20, 11, 21, 12], [10, 21, 11, 22], [28, 24, 7, 23], [24, 17, 25, 18], [16, 27, 17, 28], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_257","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_257m3_1 # m11a_257m3_1 # m11a_257None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [22, 15, 23, 16], [20, 12, 21, 11], [10, 22, 11, 21], [28, 23, 7, 24], [24, 18, 25, 17], [16, 28, 17, 27], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_257","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_258m3_1 # 11a_258m3_1 # 11a_258None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [8, 14, 9, 13], [22, 16, 23, 15], [20, 11, 21, 12], [10, 21, 11, 22], [28, 24, 7, 23], [24, 19, 25, 20], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_258","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_258m3_1 # m11a_258m3_1 # m11a_258None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [8, 13, 9, 14], [22, 15, 23, 16], [20, 12, 21, 11], [10, 22, 11, 21], [28, 23, 7, 24], [24, 20, 25, 19], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_258","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_259m3_1 # 11a_259m3_1 # 11a_259None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [20, 12, 21, 11], [24, 16, 25, 15], [26, 18, 27, 17], [28, 21, 7, 22], [16, 26, 17, 25], [22, 27, 23, 28], [18, 24, 19, 23], [8, 14, 9, 13], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_259","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_259m3_1 # m11a_259m3_1 # m11a_259None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [20, 11, 21, 12], [24, 15, 25, 16], [26, 17, 27, 18], [28, 22, 7, 21], [16, 25, 17, 26], [22, 28, 23, 27], [18, 23, 19, 24], [8, 13, 9, 14], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_259","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_260m3_1 # 11a_260m3_1 # 11a_260None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [20, 12, 21, 11], [26, 16, 27, 15], [28, 21, 7, 22], [22, 27, 23, 28], [24, 18, 25, 17], [18, 24, 19, 23], [16, 26, 17, 25], [8, 14, 9, 13], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_260","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_260m3_1 # m11a_260m3_1 # m11a_260None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [20, 11, 21, 12], [26, 15, 27, 16], [28, 22, 7, 21], [22, 28, 23, 27], [24, 17, 25, 18], [18, 23, 19, 24], [16, 25, 17, 26], [8, 13, 9, 14], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_260","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_261m3_1 # 11a_261m3_1 # 11a_261None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 14, 23, 13], [14, 9, 15, 10], [8, 21, 9, 22], [20, 11, 21, 12], [10, 15, 11, 16], [28, 24, 7, 23], [24, 17, 25, 18], [16, 27, 17, 28], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_261","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_261m3_1 # r11a_261m3_1 # r11a_261None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 13, 22, 14], [15, 10, 14, 9], [9, 22, 8, 21], [21, 12, 20, 11], [11, 16, 10, 15], [7, 23, 28, 24], [25, 18, 24, 17], [17, 28, 16, 27], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_261","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_261m3_1 # m11a_261m3_1 # m11a_261None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 13, 23, 14], [14, 10, 15, 9], [8, 22, 9, 21], [20, 12, 21, 11], [10, 16, 11, 15], [28, 23, 7, 24], [24, 18, 25, 17], [16, 28, 17, 27], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_261","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_261m3_1 # mr11a_261m3_1 # mr11a_261None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 14, 22, 13], [15, 9, 14, 10], [9, 21, 8, 22], [21, 11, 20, 12], [11, 15, 10, 16], [7, 24, 28, 23], [25, 17, 24, 18], [17, 27, 16, 28], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_261","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_262m3_1 # 11a_262m3_1 # 11a_262None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 14, 23, 13], [14, 9, 15, 10], [8, 21, 9, 22], [20, 11, 21, 12], [10, 15, 11, 16], [28, 24, 7, 23], [24, 19, 25, 20], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_262","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_262m3_1 # r11a_262m3_1 # r11a_262None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 13, 22, 14], [15, 10, 14, 9], [9, 22, 8, 21], [21, 12, 20, 11], [11, 16, 10, 15], [7, 23, 28, 24], [25, 20, 24, 19], [27, 18, 26, 17], [19, 26, 18, 25], [17, 28, 16, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_262","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_262m3_1 # m11a_262m3_1 # m11a_262None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 13, 23, 14], [14, 10, 15, 9], [8, 22, 9, 21], [20, 12, 21, 11], [10, 16, 11, 15], [28, 23, 7, 24], [24, 20, 25, 19], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_262","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_262m3_1 # mr11a_262m3_1 # mr11a_262None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 14, 22, 13], [15, 9, 14, 10], [9, 21, 8, 22], [21, 11, 20, 12], [11, 15, 10, 16], [7, 24, 28, 23], [25, 19, 24, 20], [27, 17, 26, 18], [19, 25, 18, 26], [17, 27, 16, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_262","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_263m3_1 # 11a_263m3_1 # 11a_263None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [22, 12, 23, 11], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [20, 26, 21, 25], [24, 20, 25, 19], [18, 24, 19, 23], [8, 14, 9, 13], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_263","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_263m3_1 # m11a_263m3_1 # m11a_263None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [22, 11, 23, 12], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [20, 25, 21, 26], [24, 19, 25, 20], [18, 23, 19, 24], [8, 13, 9, 14], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_263","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_264m3_1 # 11a_264m3_1 # 11a_264None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [20, 13, 21, 14], [14, 9, 15, 10], [10, 15, 11, 16], [24, 18, 25, 17], [16, 28, 17, 27], [26, 20, 27, 19], [18, 26, 19, 25], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_264","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_264m3_1 # r11a_264m3_1 # r11a_264None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [21, 14, 20, 13], [15, 10, 14, 9], [11, 16, 10, 15], [25, 17, 24, 18], [17, 27, 16, 28], [27, 19, 26, 20], [19, 25, 18, 26], [9, 21, 8, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_264","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_264m3_1 # m11a_264m3_1 # m11a_264None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [20, 14, 21, 13], [14, 10, 15, 9], [10, 16, 11, 15], [24, 17, 25, 18], [16, 27, 17, 28], [26, 19, 27, 20], [18, 25, 19, 26], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_264","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_264m3_1 # mr11a_264m3_1 # mr11a_264None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [21, 13, 20, 14], [15, 9, 14, 10], [11, 15, 10, 16], [25, 18, 24, 17], [17, 28, 16, 27], [27, 20, 26, 19], [19, 26, 18, 25], [9, 22, 8, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_264","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_265m3_1 # 11a_265m3_1 # 11a_265None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [20, 13, 21, 14], [14, 9, 15, 10], [10, 15, 11, 16], [24, 20, 25, 19], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_265","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_265m3_1 # r11a_265m3_1 # r11a_265None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [21, 14, 20, 13], [15, 10, 14, 9], [11, 16, 10, 15], [25, 19, 24, 20], [27, 17, 26, 18], [19, 25, 18, 26], [17, 27, 16, 28], [9, 21, 8, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_265","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_265m3_1 # m11a_265m3_1 # m11a_265None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [20, 14, 21, 13], [14, 10, 15, 9], [10, 16, 11, 15], [24, 19, 25, 20], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_265","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_265m3_1 # mr11a_265m3_1 # mr11a_265None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [21, 13, 20, 14], [15, 9, 14, 10], [11, 15, 10, 16], [25, 20, 24, 19], [27, 18, 26, 17], [19, 26, 18, 25], [17, 28, 16, 27], [9, 22, 8, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_265","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_266m3_1 # 11a_266m3_1 # 11a_266None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [16, 9, 17, 10], [20, 13, 21, 14], [24, 17, 25, 18], [18, 12, 19, 11], [10, 24, 11, 23], [26, 22, 27, 21], [22, 16, 23, 15], [28, 19, 7, 20], [8, 25, 9, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_266","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_266m3_1 # m11a_266m3_1 # m11a_266None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [16, 10, 17, 9], [20, 14, 21, 13], [24, 18, 25, 17], [18, 11, 19, 12], [10, 23, 11, 24], [26, 21, 27, 22], [22, 15, 23, 16], [28, 20, 7, 19], [8, 26, 9, 25], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_266","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_267m3_1 # 11a_267m3_1 # 11a_267None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [26, 16, 27, 15], [16, 9, 17, 10], [8, 25, 9, 26], [20, 13, 21, 14], [24, 17, 25, 18], [18, 12, 19, 11], [10, 24, 11, 23], [14, 21, 15, 22], [28, 19, 7, 20], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_267","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_267m3_1 # r11a_267m3_1 # r11a_267None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [27, 15, 26, 16], [17, 10, 16, 9], [9, 26, 8, 25], [21, 14, 20, 13], [25, 18, 24, 17], [19, 11, 18, 12], [11, 23, 10, 24], [15, 22, 14, 21], [7, 20, 28, 19], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_267","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_267m3_1 # m11a_267m3_1 # m11a_267None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [26, 15, 27, 16], [16, 10, 17, 9], [8, 26, 9, 25], [20, 14, 21, 13], [24, 18, 25, 17], [18, 11, 19, 12], [10, 23, 11, 24], [14, 22, 15, 21], [28, 20, 7, 19], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_267","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_267m3_1 # mr11a_267m3_1 # mr11a_267None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [27, 16, 26, 15], [17, 9, 16, 10], [9, 25, 8, 26], [21, 13, 20, 14], [25, 17, 24, 18], [19, 12, 18, 11], [11, 24, 10, 23], [15, 21, 14, 22], [7, 19, 28, 20], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_267","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_268m3_1 # 11a_268m3_1 # 11a_268None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 14, 25, 13], [16, 9, 17, 10], [8, 23, 9, 24], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [26, 16, 27, 15], [28, 19, 7, 20], [14, 26, 15, 25], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_268","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_268m3_1 # r11a_268m3_1 # r11a_268None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [25, 13, 24, 14], [17, 10, 16, 9], [9, 24, 8, 23], [23, 18, 22, 17], [19, 11, 18, 12], [11, 21, 10, 22], [27, 15, 26, 16], [7, 20, 28, 19], [15, 25, 14, 26], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_268","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_268m3_1 # m11a_268m3_1 # m11a_268None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 13, 25, 14], [16, 10, 17, 9], [8, 24, 9, 23], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [26, 15, 27, 16], [28, 20, 7, 19], [14, 25, 15, 26], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_268","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_268m3_1 # mr11a_268m3_1 # mr11a_268None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [25, 14, 24, 13], [17, 9, 16, 10], [9, 23, 8, 24], [23, 17, 22, 18], [19, 12, 18, 11], [11, 22, 10, 21], [27, 16, 26, 15], [7, 19, 28, 20], [15, 26, 14, 25], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_268","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_269m3_1 # 11a_269m3_1 # 11a_269None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [26, 14, 27, 13], [24, 17, 25, 18], [18, 12, 19, 11], [8, 25, 9, 26], [14, 22, 15, 21], [16, 9, 17, 10], [22, 16, 23, 15], [10, 24, 11, 23], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_269","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_269m3_1 # r11a_269m3_1 # r11a_269None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [27, 13, 26, 14], [25, 18, 24, 17], [19, 11, 18, 12], [9, 26, 8, 25], [15, 21, 14, 22], [17, 10, 16, 9], [23, 15, 22, 16], [11, 23, 10, 24], [7, 20, 28, 19], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_269","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_269m3_1 # m11a_269m3_1 # m11a_269None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [26, 13, 27, 14], [24, 18, 25, 17], [18, 11, 19, 12], [8, 26, 9, 25], [14, 21, 15, 22], [16, 10, 17, 9], [22, 15, 23, 16], [10, 23, 11, 24], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_269","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_269m3_1 # mr11a_269m3_1 # mr11a_269None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [27, 14, 26, 13], [25, 17, 24, 18], [19, 12, 18, 11], [9, 25, 8, 26], [15, 22, 14, 21], [17, 9, 16, 10], [23, 16, 22, 15], [11, 24, 10, 23], [7, 19, 28, 20], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_269","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_270m3_1 # 11a_270m3_1 # 11a_270None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 16, 25, 15], [16, 9, 17, 10], [8, 23, 9, 24], [26, 14, 27, 13], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [14, 26, 15, 25], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_270","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_270m3_1 # r11a_270m3_1 # r11a_270None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [25, 15, 24, 16], [17, 10, 16, 9], [9, 24, 8, 23], [27, 13, 26, 14], [23, 18, 22, 17], [19, 11, 18, 12], [11, 21, 10, 22], [15, 25, 14, 26], [7, 20, 28, 19], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_270","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_270m3_1 # m11a_270m3_1 # m11a_270None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 15, 25, 16], [16, 10, 17, 9], [8, 24, 9, 23], [26, 13, 27, 14], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [14, 25, 15, 26], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_270","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_270m3_1 # mr11a_270m3_1 # mr11a_270None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [25, 16, 24, 15], [17, 9, 16, 10], [9, 23, 8, 24], [27, 14, 26, 13], [23, 17, 22, 18], [19, 12, 18, 11], [11, 22, 10, 21], [15, 26, 14, 25], [7, 19, 28, 20], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_270","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_271m3_1 # 11a_271m3_1 # 11a_271None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [28, 14, 7, 13], [24, 17, 25, 18], [18, 12, 19, 11], [8, 25, 9, 26], [22, 16, 23, 15], [16, 9, 17, 10], [20, 28, 21, 27], [26, 22, 27, 21], [14, 20, 15, 19], [10, 24, 11, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_271","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_271m3_1 # m11a_271m3_1 # m11a_271None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [28, 13, 7, 14], [24, 18, 25, 17], [18, 11, 19, 12], [8, 26, 9, 25], [22, 15, 23, 16], [16, 10, 17, 9], [20, 27, 21, 28], [26, 21, 27, 22], [14, 19, 15, 20], [10, 23, 11, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_271","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_272m3_1 # 11a_272m3_1 # 11a_272None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 16, 25, 15], [16, 9, 17, 10], [8, 23, 9, 24], [28, 14, 7, 13], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [14, 28, 15, 27], [26, 19, 27, 20], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_272","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_272m3_1 # r11a_272m3_1 # r11a_272None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [25, 15, 24, 16], [17, 10, 16, 9], [9, 24, 8, 23], [7, 13, 28, 14], [23, 18, 22, 17], [19, 11, 18, 12], [11, 21, 10, 22], [15, 27, 14, 28], [27, 20, 26, 19], [21, 26, 20, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_272","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_272m3_1 # m11a_272m3_1 # m11a_272None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 15, 25, 16], [16, 10, 17, 9], [8, 24, 9, 23], [28, 13, 7, 14], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [14, 27, 15, 28], [26, 20, 27, 19], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_272","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_272m3_1 # mr11a_272m3_1 # mr11a_272None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [25, 16, 24, 15], [17, 9, 16, 10], [9, 23, 8, 24], [7, 14, 28, 13], [23, 17, 22, 18], [19, 12, 18, 11], [11, 22, 10, 21], [15, 28, 14, 27], [27, 19, 26, 20], [21, 25, 20, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_272","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_273m3_1 # 11a_273m3_1 # 11a_273None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 14, 23, 13], [16, 9, 17, 10], [26, 15, 27, 16], [24, 19, 25, 20], [18, 25, 19, 26], [8, 21, 9, 22], [14, 27, 15, 28], [20, 11, 21, 12], [10, 17, 11, 18], [28, 24, 7, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_273","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_273m3_1 # r11a_273m3_1 # r11a_273None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 13, 22, 14], [17, 10, 16, 9], [27, 16, 26, 15], [25, 20, 24, 19], [19, 26, 18, 25], [9, 22, 8, 21], [15, 28, 14, 27], [21, 12, 20, 11], [11, 18, 10, 17], [7, 23, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_273","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_273m3_1 # m11a_273m3_1 # m11a_273None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 13, 23, 14], [16, 10, 17, 9], [26, 16, 27, 15], [24, 20, 25, 19], [18, 26, 19, 25], [8, 22, 9, 21], [14, 28, 15, 27], [20, 12, 21, 11], [10, 18, 11, 17], [28, 23, 7, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_273","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_273m3_1 # mr11a_273m3_1 # mr11a_273None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 14, 22, 13], [17, 9, 16, 10], [27, 15, 26, 16], [25, 19, 24, 20], [19, 25, 18, 26], [9, 21, 8, 22], [15, 27, 14, 28], [21, 11, 20, 12], [11, 17, 10, 18], [7, 24, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_273","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_274m3_1 # 11a_274m3_1 # 11a_274None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [16, 10, 17, 9], [24, 13, 25, 14], [14, 25, 15, 26], [8, 16, 9, 15], [26, 17, 27, 18], [20, 11, 21, 12], [10, 21, 11, 22], [22, 28, 23, 27], [28, 20, 7, 19], [18, 23, 19, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_274","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_274m3_1 # r11a_274m3_1 # r11a_274None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [17, 9, 16, 10], [25, 14, 24, 13], [15, 26, 14, 25], [9, 15, 8, 16], [27, 18, 26, 17], [21, 12, 20, 11], [11, 22, 10, 21], [23, 27, 22, 28], [7, 19, 28, 20], [19, 24, 18, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_274","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_274m3_1 # m11a_274m3_1 # m11a_274None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [16, 9, 17, 10], [24, 14, 25, 13], [14, 26, 15, 25], [8, 15, 9, 16], [26, 18, 27, 17], [20, 12, 21, 11], [10, 22, 11, 21], [22, 27, 23, 28], [28, 19, 7, 20], [18, 24, 19, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_274","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_274m3_1 # mr11a_274m3_1 # mr11a_274None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [17, 10, 16, 9], [25, 13, 24, 14], [15, 25, 14, 26], [9, 16, 8, 15], [27, 17, 26, 18], [21, 11, 20, 12], [11, 21, 10, 22], [23, 28, 22, 27], [7, 20, 28, 19], [19, 23, 18, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_274","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_275m3_1 # 11a_275m3_1 # 11a_275None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [16, 10, 17, 9], [26, 14, 27, 13], [28, 21, 7, 22], [24, 18, 25, 17], [18, 24, 19, 23], [22, 27, 23, 28], [14, 26, 15, 25], [20, 12, 21, 11], [8, 16, 9, 15], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_275","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_275m3_1 # r11a_275m3_1 # r11a_275None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [17, 9, 16, 10], [27, 13, 26, 14], [7, 22, 28, 21], [25, 17, 24, 18], [19, 23, 18, 24], [23, 28, 22, 27], [15, 25, 14, 26], [21, 11, 20, 12], [9, 15, 8, 16], [11, 19, 10, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_275","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_275m3_1 # m11a_275m3_1 # m11a_275None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [16, 9, 17, 10], [26, 13, 27, 14], [28, 22, 7, 21], [24, 17, 25, 18], [18, 23, 19, 24], [22, 28, 23, 27], [14, 25, 15, 26], [20, 11, 21, 12], [8, 15, 9, 16], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_275","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_275m3_1 # mr11a_275m3_1 # mr11a_275None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [17, 10, 16, 9], [27, 14, 26, 13], [7, 21, 28, 22], [25, 18, 24, 17], [19, 24, 18, 23], [23, 27, 22, 28], [15, 26, 14, 25], [21, 12, 20, 11], [9, 16, 8, 15], [11, 20, 10, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_275","mirror":true,"reverse":true}]falsefalsechiral[]