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_1133_1 # r11a_1133_1 # r11a_113None14truecomposite1[[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, 14, 22, 13], [25, 16, 24, 15], [15, 24, 14, 23], [19, 26, 18, 25], [21, 11, 20, 12], [27, 20, 26, 19], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_113","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1133_1 # m11a_1133_1 # m11a_113None14truecomposite1[[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, 14, 23, 13], [24, 16, 25, 15], [14, 24, 15, 23], [18, 26, 19, 25], [20, 11, 21, 12], [26, 20, 27, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_113","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1133_1 # mr11a_1133_1 # mr11a_113None14truecomposite1[[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, 13, 22, 14], [25, 15, 24, 16], [15, 23, 14, 24], [19, 25, 18, 26], [21, 12, 20, 11], [27, 19, 26, 20], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_113","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1143_1 # 11a_1143_1 # 11a_114None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [28, 22, 7, 21], [22, 18, 23, 17], [18, 28, 19, 27], [12, 20, 13, 19], [26, 23, 27, 24], [24, 13, 25, 14], [14, 25, 15, 26], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_114","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1143_1 # r11a_1143_1 # r11a_114None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [21, 11, 20, 12], [7, 21, 28, 22], [23, 17, 22, 18], [19, 27, 18, 28], [13, 19, 12, 20], [27, 24, 26, 23], [25, 14, 24, 13], [15, 26, 14, 25], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_114","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1143_1 # m11a_1143_1 # m11a_114None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [28, 21, 7, 22], [22, 17, 23, 18], [18, 27, 19, 28], [12, 19, 13, 20], [26, 24, 27, 23], [24, 14, 25, 13], [14, 26, 15, 25], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_114","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1143_1 # mr11a_1143_1 # mr11a_114None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [21, 12, 20, 11], [7, 22, 28, 21], [23, 18, 22, 17], [19, 28, 18, 27], [13, 20, 12, 19], [27, 23, 26, 24], [25, 13, 24, 14], [15, 25, 14, 26], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_114","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1153_1 # 11a_1153_1 # 11a_115None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [24, 13, 25, 14], [20, 12, 21, 11], [18, 23, 19, 24], [12, 20, 13, 19], [14, 25, 15, 26], [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_115","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1153_1 # r11a_1153_1 # r11a_115None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [27, 18, 26, 17], [25, 14, 24, 13], [21, 11, 20, 12], [19, 24, 18, 23], [13, 19, 12, 20], [15, 26, 14, 25], [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_115","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1153_1 # m11a_1153_1 # m11a_115None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [24, 14, 25, 13], [20, 11, 21, 12], [18, 24, 19, 23], [12, 19, 13, 20], [14, 26, 15, 25], [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_115","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1153_1 # mr11a_1153_1 # mr11a_115None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [27, 17, 26, 18], [25, 13, 24, 14], [21, 12, 20, 11], [19, 23, 18, 24], [13, 20, 12, 19], [15, 25, 14, 26], [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_115","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1163_1 # 11a_1163_1 # 11a_116None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [24, 14, 25, 13], [28, 22, 7, 21], [22, 28, 23, 27], [26, 17, 27, 18], [12, 24, 13, 23], [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_116","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1163_1 # r11a_1163_1 # r11a_116None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [21, 11, 20, 12], [25, 13, 24, 14], [7, 21, 28, 22], [23, 27, 22, 28], [27, 18, 26, 17], [13, 23, 12, 24], [19, 26, 18, 25], [15, 19, 14, 20], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_116","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1163_1 # m11a_1163_1 # m11a_116None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [24, 13, 25, 14], [28, 21, 7, 22], [22, 27, 23, 28], [26, 18, 27, 17], [12, 23, 13, 24], [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_116","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1163_1 # mr11a_1163_1 # mr11a_116None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [21, 12, 20, 11], [25, 14, 24, 13], [7, 22, 28, 21], [23, 28, 22, 27], [27, 17, 26, 18], [13, 24, 12, 23], [19, 25, 18, 26], [15, 20, 14, 19], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_116","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1173_1 # 11a_1173_1 # 11a_117None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [24, 14, 25, 13], [26, 22, 27, 21], [22, 26, 23, 25], [28, 17, 7, 18], [12, 24, 13, 23], [18, 27, 19, 28], [14, 20, 15, 19], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_117","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1173_1 # m11a_1173_1 # m11a_117None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [24, 13, 25, 14], [26, 21, 27, 22], [22, 25, 23, 26], [28, 18, 7, 17], [12, 23, 13, 24], [18, 28, 19, 27], [14, 19, 15, 20], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_117","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1183_1 # 11a_1183_1 # 11a_118None14truecomposite1[[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, 12, 21, 11], [26, 22, 27, 21], [24, 13, 25, 14], [12, 25, 13, 26], [28, 24, 7, 23], [22, 28, 23, 27], [14, 20, 15, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_118","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1183_1 # m11a_1183_1 # m11a_118None14truecomposite1[[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, 11, 21, 12], [26, 21, 27, 22], [24, 14, 25, 13], [12, 26, 13, 25], [28, 23, 7, 24], [22, 27, 23, 28], [14, 19, 15, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_118","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1193_1 # 11a_1193_1 # 11a_119None14truecomposite1[[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, 12, 21, 11], [26, 24, 27, 23], [24, 13, 25, 14], [12, 25, 13, 26], [28, 22, 7, 21], [22, 28, 23, 27], [14, 20, 15, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_119","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1193_1 # m11a_1193_1 # m11a_119None14truecomposite1[[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, 11, 21, 12], [26, 23, 27, 24], [24, 14, 25, 13], [12, 26, 13, 25], [28, 21, 7, 22], [22, 27, 23, 28], [14, 19, 15, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_119","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1203_1 # 11a_1203_1 # 11a_120None14truecomposite1[[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], [28, 19, 7, 20], [20, 11, 21, 12], [24, 13, 25, 14], [26, 23, 27, 24], [22, 27, 23, 28], [12, 21, 13, 22], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_120","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1203_1 # m11a_1203_1 # m11a_120None14truecomposite1[[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], [28, 20, 7, 19], [20, 12, 21, 11], [24, 14, 25, 13], [26, 24, 27, 23], [22, 28, 23, 27], [12, 22, 13, 21], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_120","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1213_1 # 11a_1213_1 # 11a_121None14truecomposite1[[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], [28, 19, 7, 20], [20, 11, 21, 12], [26, 24, 27, 23], [14, 21, 15, 22], [12, 25, 13, 26], [24, 13, 25, 14], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_121","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1213_1 # m11a_1213_1 # m11a_121None14truecomposite1[[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], [28, 20, 7, 19], [20, 12, 21, 11], [26, 23, 27, 24], [14, 22, 15, 21], [12, 26, 13, 25], [24, 14, 25, 13], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_121","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1223_1 # 11a_1223_1 # 11a_122None14truecomposite1[[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], [24, 13, 25, 14], [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_122","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1223_1 # r11a_1223_1 # r11a_122None14truecomposite1[[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], [25, 14, 24, 13], [15, 24, 14, 23], [19, 26, 18, 25], [21, 11, 20, 12], [27, 20, 26, 19], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_122","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1223_1 # m11a_1223_1 # m11a_122None14truecomposite1[[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], [24, 14, 25, 13], [14, 24, 15, 23], [18, 26, 19, 25], [20, 11, 21, 12], [26, 20, 27, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_122","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1223_1 # mr11a_1223_1 # mr11a_122None14truecomposite1[[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], [25, 13, 24, 14], [15, 23, 14, 24], [19, 25, 18, 26], [21, 12, 20, 11], [27, 19, 26, 20], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_122","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1233_1 # 11a_1233_1 # 11a_123None14truecomposite1[[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, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [18, 26, 19, 25], [14, 18, 15, 17], [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_123","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1233_1 # m11a_1233_1 # m11a_123None14truecomposite1[[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, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [18, 25, 19, 26], [14, 17, 15, 18], [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_123","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1243_1 # 11a_1243_1 # 11a_124None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [28, 22, 7, 21], [22, 18, 23, 17], [26, 14, 27, 13], [24, 28, 25, 27], [18, 24, 19, 23], [12, 26, 13, 25], [14, 20, 15, 19], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_124","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1243_1 # m11a_1243_1 # m11a_124None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [28, 21, 7, 22], [22, 17, 23, 18], [26, 13, 27, 14], [24, 27, 25, 28], [18, 23, 19, 24], [12, 25, 13, 26], [14, 19, 15, 20], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_124","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1253_1 # 11a_1253_1 # 11a_125None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [20, 11, 21, 12], [14, 21, 15, 22], [26, 14, 27, 13], [18, 28, 19, 27], [24, 20, 25, 19], [12, 26, 13, 25], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_125","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1253_1 # r11a_1253_1 # r11a_125None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [23, 18, 22, 17], [21, 12, 20, 11], [15, 22, 14, 21], [27, 13, 26, 14], [19, 27, 18, 28], [25, 19, 24, 20], [13, 25, 12, 26], [7, 24, 28, 23], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_125","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1253_1 # m11a_1253_1 # m11a_125None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [20, 12, 21, 11], [14, 22, 15, 21], [26, 13, 27, 14], [18, 27, 19, 28], [24, 19, 25, 20], [12, 25, 13, 26], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_125","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1253_1 # mr11a_1253_1 # mr11a_125None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [23, 17, 22, 18], [21, 11, 20, 12], [15, 21, 14, 22], [27, 14, 26, 13], [19, 28, 18, 27], [25, 20, 24, 19], [13, 26, 12, 25], [7, 23, 28, 24], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_125","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1263_1 # 11a_1263_1 # 11a_126None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [14, 21, 15, 22], [12, 26, 13, 25], [20, 11, 21, 12], [26, 14, 27, 13], [24, 28, 25, 27], [28, 19, 7, 20], [18, 23, 19, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_126","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1263_1 # m11a_1263_1 # m11a_126None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [14, 22, 15, 21], [12, 25, 13, 26], [20, 12, 21, 11], [26, 13, 27, 14], [24, 27, 25, 28], [28, 20, 7, 19], [18, 24, 19, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_126","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1273_1 # 11a_1273_1 # 11a_127None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [20, 11, 21, 12], [12, 26, 13, 25], [26, 14, 27, 13], [14, 21, 15, 22], [22, 28, 23, 27], [24, 20, 25, 19], [18, 24, 19, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_127","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1273_1 # r11a_1273_1 # r11a_127None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [7, 18, 28, 17], [21, 12, 20, 11], [13, 25, 12, 26], [27, 13, 26, 14], [15, 22, 14, 21], [23, 27, 22, 28], [25, 19, 24, 20], [19, 23, 18, 24], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_127","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1273_1 # m11a_1273_1 # m11a_127None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [20, 12, 21, 11], [12, 25, 13, 26], [26, 13, 27, 14], [14, 22, 15, 21], [22, 27, 23, 28], [24, 19, 25, 20], [18, 23, 19, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_127","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1273_1 # mr11a_1273_1 # mr11a_127None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [7, 17, 28, 18], [21, 11, 20, 12], [13, 26, 12, 25], [27, 14, 26, 13], [15, 21, 14, 22], [23, 28, 22, 27], [25, 20, 24, 19], [19, 24, 18, 23], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_127","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1283_1 # 11a_1283_1 # 11a_128None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 11, 21, 12], [16, 9, 17, 10], [8, 17, 9, 18], [18, 22, 19, 21], [22, 16, 23, 15], [26, 14, 27, 13], [28, 23, 7, 24], [24, 27, 25, 28], [14, 26, 15, 25], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_128","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1283_1 # m11a_1283_1 # m11a_128None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 12, 21, 11], [16, 10, 17, 9], [8, 18, 9, 17], [18, 21, 19, 22], [22, 15, 23, 16], [26, 13, 27, 14], [28, 24, 7, 23], [24, 28, 25, 27], [14, 25, 15, 26], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_128","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1293_1 # 11a_1293_1 # 11a_129None14truecomposite1[[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, 12, 21, 11], [24, 19, 25, 20], [14, 27, 15, 28], [26, 13, 27, 14], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_129","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1293_1 # r11a_1293_1 # r11a_129None14truecomposite1[[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, 11, 20, 12], [25, 20, 24, 19], [15, 28, 14, 27], [27, 14, 26, 13], [13, 26, 12, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_129","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1293_1 # m11a_1293_1 # m11a_129None14truecomposite1[[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, 11, 21, 12], [24, 20, 25, 19], [14, 28, 15, 27], [26, 14, 27, 13], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_129","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1293_1 # mr11a_1293_1 # mr11a_129None14truecomposite1[[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, 12, 20, 11], [25, 19, 24, 20], [15, 27, 14, 28], [27, 13, 26, 14], [13, 25, 12, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_129","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1303_1 # 11a_1303_1 # 11a_130None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [26, 13, 27, 14], [16, 9, 17, 10], [8, 17, 9, 18], [20, 12, 21, 11], [22, 15, 23, 16], [28, 22, 7, 21], [18, 23, 19, 24], [24, 19, 25, 20], [14, 25, 15, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_130","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1303_1 # r11a_1303_1 # r11a_130None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [27, 14, 26, 13], [17, 10, 16, 9], [9, 18, 8, 17], [21, 11, 20, 12], [23, 16, 22, 15], [7, 21, 28, 22], [19, 24, 18, 23], [25, 20, 24, 19], [15, 26, 14, 25], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_130","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1303_1 # m11a_1303_1 # m11a_130None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [26, 14, 27, 13], [16, 10, 17, 9], [8, 18, 9, 17], [20, 11, 21, 12], [22, 16, 23, 15], [28, 21, 7, 22], [18, 24, 19, 23], [24, 20, 25, 19], [14, 26, 15, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_130","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1303_1 # mr11a_1303_1 # mr11a_130None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [27, 13, 26, 14], [17, 9, 16, 10], [9, 17, 8, 18], [21, 12, 20, 11], [23, 15, 22, 16], [7, 22, 28, 21], [19, 23, 18, 24], [25, 19, 24, 20], [15, 25, 14, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_130","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1313_1 # 11a_1313_1 # 11a_131None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 19, 27, 20], [22, 27, 23, 28], [24, 15, 25, 16], [14, 23, 15, 24], [18, 25, 19, 26], [28, 14, 7, 13], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_131","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1313_1 # r11a_1313_1 # r11a_131None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 11, 20, 12], [17, 10, 16, 9], [9, 18, 8, 17], [27, 20, 26, 19], [23, 28, 22, 27], [25, 16, 24, 15], [15, 24, 14, 23], [19, 26, 18, 25], [7, 13, 28, 14], [13, 21, 12, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_131","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1313_1 # m11a_1313_1 # m11a_131None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 20, 27, 19], [22, 28, 23, 27], [24, 16, 25, 15], [14, 24, 15, 23], [18, 26, 19, 25], [28, 13, 7, 14], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_131","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1313_1 # mr11a_1313_1 # mr11a_131None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 12, 20, 11], [17, 9, 16, 10], [9, 17, 8, 18], [27, 19, 26, 20], [23, 27, 22, 28], [25, 15, 24, 16], [15, 23, 14, 24], [19, 25, 18, 26], [7, 14, 28, 13], [13, 22, 12, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_131","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1323_1 # 11a_1323_1 # 11a_132None14truecomposite1[[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, 12, 23, 11], [12, 22, 13, 21], [26, 20, 27, 19], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_132","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1323_1 # r11a_1323_1 # r11a_132None14truecomposite1[[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, 11, 22, 12], [13, 21, 12, 22], [27, 19, 26, 20], [25, 16, 24, 15], [15, 26, 14, 25], [7, 23, 28, 24], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_132","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1323_1 # m11a_1323_1 # m11a_132None14truecomposite1[[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, 11, 23, 12], [12, 21, 13, 22], [26, 19, 27, 20], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_132","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1323_1 # mr11a_1323_1 # mr11a_132None14truecomposite1[[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, 12, 22, 11], [13, 22, 12, 21], [27, 20, 26, 19], [25, 15, 24, 16], [15, 25, 14, 26], [7, 24, 28, 23], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_132","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1333_1 # 11a_1333_1 # 11a_133None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 12, 23, 11], [26, 17, 27, 18], [28, 24, 7, 23], [24, 28, 25, 27], [18, 25, 19, 26], [20, 14, 21, 13], [14, 20, 15, 19], [12, 22, 13, 21], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_133","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1333_1 # m11a_1333_1 # m11a_133None14truecomposite1[[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, 18, 27, 17], [28, 23, 7, 24], [24, 27, 25, 28], [18, 26, 19, 25], [20, 13, 21, 14], [14, 19, 15, 20], [12, 21, 13, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_133","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1343_1 # 11a_1343_1 # 11a_134None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [20, 14, 21, 13], [28, 26, 7, 25], [26, 18, 27, 17], [18, 28, 19, 27], [14, 20, 15, 19], [24, 21, 25, 22], [22, 11, 23, 12], [12, 23, 13, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_134","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1343_1 # m11a_1343_1 # m11a_134None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [20, 13, 21, 14], [28, 25, 7, 26], [26, 17, 27, 18], [18, 27, 19, 28], [14, 19, 15, 20], [24, 22, 25, 21], [22, 12, 23, 11], [12, 24, 13, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_134","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1353_1 # 11a_1353_1 # 11a_135None14truecomposite1[[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], [20, 13, 21, 14], [14, 26, 15, 25], [12, 27, 13, 28], [24, 20, 25, 19], [26, 21, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_135","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1353_1 # m11a_1353_1 # m11a_135None14truecomposite1[[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], [20, 14, 21, 13], [14, 25, 15, 26], [12, 28, 13, 27], [24, 19, 25, 20], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_135","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1363_1 # 11a_1363_1 # 11a_136None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 13, 21, 14], [16, 9, 17, 10], [8, 17, 9, 18], [22, 12, 23, 11], [24, 15, 25, 16], [26, 21, 27, 22], [14, 19, 15, 20], [28, 24, 7, 23], [18, 25, 19, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_136","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1363_1 # r11a_1363_1 # r11a_136None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 14, 20, 13], [17, 10, 16, 9], [9, 18, 8, 17], [23, 11, 22, 12], [25, 16, 24, 15], [27, 22, 26, 21], [15, 20, 14, 19], [7, 23, 28, 24], [19, 26, 18, 25], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_136","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1363_1 # m11a_1363_1 # m11a_136None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 14, 21, 13], [16, 10, 17, 9], [8, 18, 9, 17], [22, 11, 23, 12], [24, 16, 25, 15], [26, 22, 27, 21], [14, 20, 15, 19], [28, 23, 7, 24], [18, 26, 19, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_136","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1363_1 # mr11a_1363_1 # mr11a_136None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 13, 20, 14], [17, 9, 16, 10], [9, 17, 8, 18], [23, 12, 22, 11], [25, 15, 24, 16], [27, 21, 26, 22], [15, 19, 14, 20], [7, 24, 28, 23], [19, 25, 18, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_136","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1373_1 # 11a_1373_1 # 11a_137None14truecomposite1[[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], [22, 12, 23, 11], [20, 14, 21, 13], [26, 19, 27, 20], [12, 22, 13, 21], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_137","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1373_1 # r11a_1373_1 # r11a_137None14truecomposite1[[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], [23, 11, 22, 12], [21, 13, 20, 14], [27, 20, 26, 19], [13, 21, 12, 22], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_137","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1373_1 # m11a_1373_1 # m11a_137None14truecomposite1[[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], [22, 11, 23, 12], [20, 13, 21, 14], [26, 20, 27, 19], [12, 21, 13, 22], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_137","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1373_1 # mr11a_1373_1 # mr11a_137None14truecomposite1[[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], [23, 12, 22, 11], [21, 14, 20, 13], [27, 19, 26, 20], [13, 22, 12, 21], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_137","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1383_1 # 11a_1383_1 # 11a_138None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [22, 11, 23, 12], [16, 9, 17, 10], [8, 17, 9, 18], [18, 24, 19, 23], [24, 16, 25, 15], [26, 20, 27, 19], [12, 27, 13, 28], [20, 14, 21, 13], [14, 26, 15, 25], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_138","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1383_1 # r11a_1383_1 # r11a_138None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [23, 12, 22, 11], [17, 10, 16, 9], [9, 18, 8, 17], [19, 23, 18, 24], [25, 15, 24, 16], [27, 19, 26, 20], [13, 28, 12, 27], [21, 13, 20, 14], [15, 25, 14, 26], [7, 22, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_138","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1383_1 # m11a_1383_1 # m11a_138None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [22, 12, 23, 11], [16, 10, 17, 9], [8, 18, 9, 17], [18, 23, 19, 24], [24, 15, 25, 16], [26, 19, 27, 20], [12, 28, 13, 27], [20, 13, 21, 14], [14, 25, 15, 26], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_138","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1383_1 # mr11a_1383_1 # mr11a_138None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [23, 11, 22, 12], [17, 9, 16, 10], [9, 17, 8, 18], [19, 24, 18, 23], [25, 16, 24, 15], [27, 20, 26, 19], [13, 27, 12, 28], [21, 14, 20, 13], [15, 26, 14, 25], [7, 21, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_138","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1393_1 # 11a_1393_1 # 11a_139None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 12, 23, 11], [24, 14, 25, 13], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [12, 24, 13, 23], [20, 25, 21, 26], [14, 22, 15, 21], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_139","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1393_1 # m11a_1393_1 # m11a_139None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 11, 23, 12], [24, 13, 25, 14], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [12, 23, 13, 24], [20, 26, 21, 25], [14, 21, 15, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_139","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1403_1 # 11a_1403_1 # 11a_140None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 12, 23, 11], [24, 14, 25, 13], [28, 17, 7, 18], [26, 19, 27, 20], [12, 24, 13, 23], [20, 25, 21, 26], [18, 27, 19, 28], [14, 22, 15, 21], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_140","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1403_1 # m11a_1403_1 # m11a_140None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [22, 11, 23, 12], [24, 13, 25, 14], [28, 18, 7, 17], [26, 20, 27, 19], [12, 23, 13, 24], [20, 26, 21, 25], [18, 28, 19, 27], [14, 21, 15, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_140","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1413_1 # 11a_1413_1 # 11a_141None14truecomposite1[[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, 13, 25, 14], [12, 27, 13, 28], [14, 20, 15, 19], [26, 21, 27, 22], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_141","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1413_1 # r11a_1413_1 # r11a_141None14truecomposite1[[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, 14, 24, 13], [13, 28, 12, 27], [15, 19, 14, 20], [27, 22, 26, 21], [21, 26, 20, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_141","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1413_1 # m11a_1413_1 # m11a_141None14truecomposite1[[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, 14, 25, 13], [12, 28, 13, 27], [14, 19, 15, 20], [26, 22, 27, 21], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_141","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1413_1 # mr11a_1413_1 # mr11a_141None14truecomposite1[[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, 13, 24, 14], [13, 27, 12, 28], [15, 20, 14, 19], [27, 21, 26, 22], [21, 25, 20, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_141","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1423_1 # 11a_1423_1 # 11a_142None14truecomposite1[[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], [26, 19, 27, 20], [22, 11, 23, 12], [24, 13, 25, 14], [12, 23, 13, 24], [14, 25, 15, 26], [28, 21, 7, 22], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_142","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1423_1 # m11a_1423_1 # m11a_142None14truecomposite1[[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], [26, 20, 27, 19], [22, 12, 23, 11], [24, 14, 25, 13], [12, 24, 13, 23], [14, 26, 15, 25], [28, 22, 7, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_142","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1433_1 # 11a_1433_1 # 11a_143None14truecomposite1[[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], [26, 19, 27, 20], [22, 11, 23, 12], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24], [28, 21, 7, 22], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_143","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1433_1 # m11a_1433_1 # m11a_143None14truecomposite1[[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], [26, 20, 27, 19], [22, 12, 23, 11], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23], [28, 22, 7, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_143","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1443_1 # 11a_1443_1 # 11a_144None14truecomposite1[[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], [26, 21, 27, 22], [22, 11, 23, 12], [24, 13, 25, 14], [12, 23, 13, 24], [14, 25, 15, 26], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_144","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1443_1 # m11a_1443_1 # m11a_144None14truecomposite1[[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], [26, 22, 27, 21], [22, 12, 23, 11], [24, 14, 25, 13], [12, 24, 13, 23], [14, 26, 15, 25], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_144","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1453_1 # 11a_1453_1 # 11a_145None14truecomposite1[[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], [26, 21, 27, 22], [22, 11, 23, 12], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_145","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1453_1 # m11a_1453_1 # m11a_145None14truecomposite1[[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], [26, 22, 27, 21], [22, 12, 23, 11], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_145","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1463_1 # 11a_1463_1 # 11a_146None14truecomposite1[[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], [24, 13, 25, 14], [12, 23, 13, 24], [14, 27, 15, 28], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_146","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1463_1 # r11a_1463_1 # r11a_146None14truecomposite1[[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], [25, 14, 24, 13], [13, 24, 12, 23], [15, 28, 14, 27], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_146","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1463_1 # m11a_1463_1 # m11a_146None14truecomposite1[[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], [24, 14, 25, 13], [12, 24, 13, 23], [14, 28, 15, 27], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_146","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1463_1 # mr11a_1463_1 # mr11a_146None14truecomposite1[[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], [25, 13, 24, 14], [13, 23, 12, 24], [15, 27, 14, 28], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_146","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1473_1 # 11a_1473_1 # 11a_147None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [22, 12, 23, 11], [26, 14, 27, 13], [24, 19, 25, 20], [18, 23, 19, 24], [28, 17, 7, 18], [12, 26, 13, 25], [20, 27, 21, 28], [14, 22, 15, 21], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_147","mirror":false,"reverse":false}]falsefalsechiral[]