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
4_1 # r10_1104_1 # r10_1104_1 # r10_110None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 9, 22], [12, 19, 11, 18], [14, 28, 13, 9], [16, 24, 15, 25], [18, 13, 17, 12], [20, 26, 19, 27], [22, 11, 21, 10], [24, 14, 23, 15], [26, 20, 25, 21], [28, 16, 27, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_110","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1104_1 # m10_1104_1 # m10_110None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 19, 12, 18], [13, 28, 14, 9], [15, 24, 16, 25], [17, 13, 18, 12], [19, 26, 20, 27], [21, 11, 22, 10], [23, 14, 24, 15], [25, 20, 26, 21], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_110","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1104_1 # mr10_1104_1 # mr10_110None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 9, 23], [12, 18, 11, 19], [14, 9, 13, 28], [16, 25, 15, 24], [18, 12, 17, 13], [20, 27, 19, 26], [22, 10, 21, 11], [24, 15, 23, 14], [26, 21, 25, 20], [28, 17, 27, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_110","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1114_1 # 10_1114_1 # 10_111None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 27, 12, 26], [13, 19, 14, 18], [15, 22, 16, 23], [17, 11, 18, 10], [19, 25, 20, 24], [21, 9, 22, 28], [23, 14, 24, 15], [25, 13, 26, 12], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_111","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1114_1 # m10_1114_1 # m10_111None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 26, 12, 27], [13, 18, 14, 19], [15, 23, 16, 22], [17, 10, 18, 11], [19, 24, 20, 25], [21, 28, 22, 9], [23, 15, 24, 14], [25, 12, 26, 13], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_111","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1124_1 # 10_1124_1 # 10_112None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 19, 13, 20], [14, 27, 15, 28], [16, 22, 17, 21], [18, 23, 19, 24], [20, 26, 21, 25], [22, 9, 23, 10], [24, 12, 25, 11], [26, 13, 27, 14], [28, 15, 9, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_112","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1124_1 # m10_1124_1 # m10_112None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 20, 13, 19], [14, 28, 15, 27], [16, 21, 17, 22], [18, 24, 19, 23], [20, 25, 21, 26], [22, 10, 23, 9], [24, 11, 25, 12], [26, 14, 27, 13], [28, 16, 9, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_112","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1134_1 # 10_1134_1 # 10_113None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 22, 13, 21], [14, 19, 15, 20], [16, 24, 17, 23], [18, 10, 19, 9], [20, 27, 21, 28], [22, 26, 23, 25], [24, 18, 25, 17], [26, 12, 27, 11], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_113","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1134_1 # m10_1134_1 # m10_113None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 21, 13, 22], [14, 20, 15, 19], [16, 23, 17, 24], [18, 9, 19, 10], [20, 28, 21, 27], [22, 25, 23, 26], [24, 17, 25, 18], [26, 11, 27, 12], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_113","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1144_1 # 10_1144_1 # 10_114None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 19, 12, 18], [13, 22, 14, 23], [15, 20, 16, 21], [17, 25, 18, 24], [19, 26, 20, 27], [21, 14, 22, 15], [23, 9, 24, 28], [25, 10, 26, 11], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_114","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1144_1 # m10_1144_1 # m10_114None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 18, 12, 19], [13, 23, 14, 22], [15, 21, 16, 20], [17, 24, 18, 25], [19, 27, 20, 26], [21, 15, 22, 14], [23, 28, 24, 9], [25, 11, 26, 10], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_114","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1154_1 # 10_1154_1 # 10_115None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [22, 14, 23, 13], [28, 23, 9, 24], [24, 15, 25, 16], [16, 27, 17, 28], [26, 19, 27, 20], [18, 12, 19, 11], [12, 18, 13, 17], [20, 25, 21, 26], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_115","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_1154_1 # r10_1154_1 # r10_115None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [23, 13, 22, 14], [9, 24, 28, 23], [25, 16, 24, 15], [17, 28, 16, 27], [27, 20, 26, 19], [19, 11, 18, 12], [13, 17, 12, 18], [21, 26, 20, 25], [11, 21, 10, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_115","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_1164_1 # 10_1164_1 # 10_116None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 25, 13, 26], [14, 20, 15, 19], [16, 9, 17, 10], [18, 12, 19, 11], [20, 27, 21, 28], [22, 16, 23, 15], [24, 17, 25, 18], [26, 13, 27, 14], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_116","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1164_1 # m10_1164_1 # m10_116None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 26, 13, 25], [14, 19, 15, 20], [16, 10, 17, 9], [18, 11, 19, 12], [20, 28, 21, 27], [22, 15, 23, 16], [24, 18, 25, 17], [26, 14, 27, 13], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_116","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1174_1 # 10_1174_1 # 10_117None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 16, 12, 17], [13, 26, 14, 27], [15, 25, 16, 24], [17, 28, 18, 9], [19, 12, 20, 13], [21, 15, 22, 14], [23, 10, 24, 11], [25, 21, 26, 20], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_117","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1174_1 # r10_1174_1 # r10_117None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 9, 22], [12, 17, 11, 16], [14, 27, 13, 26], [16, 24, 15, 25], [18, 9, 17, 28], [20, 13, 19, 12], [22, 14, 21, 15], [24, 11, 23, 10], [26, 20, 25, 21], [28, 19, 27, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_117","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1174_1 # m10_1174_1 # m10_117None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 17, 12, 16], [13, 27, 14, 26], [15, 24, 16, 25], [17, 9, 18, 28], [19, 13, 20, 12], [21, 14, 22, 15], [23, 11, 24, 10], [25, 20, 26, 21], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_117","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1174_1 # mr10_1174_1 # mr10_117None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 9, 23], [12, 16, 11, 17], [14, 26, 13, 27], [16, 25, 15, 24], [18, 28, 17, 9], [20, 12, 19, 13], [22, 15, 21, 14], [24, 10, 23, 11], [26, 21, 25, 20], [28, 18, 27, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_117","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1184_1 # 10_1184_1 # 10_118None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [26, 14, 27, 13], [28, 21, 9, 22], [20, 27, 21, 28], [22, 15, 23, 16], [16, 11, 17, 12], [10, 24, 11, 23], [18, 26, 19, 25], [24, 18, 25, 17], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_118","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_1184_1 # r10_1184_1 # r10_118None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [27, 13, 26, 14], [9, 22, 28, 21], [21, 28, 20, 27], [23, 16, 22, 15], [17, 12, 16, 11], [11, 23, 10, 24], [19, 25, 18, 26], [25, 17, 24, 18], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_118","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_1194_1 # 10_1194_1 # 10_119None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 18, 12, 19], [13, 9, 14, 28], [15, 10, 16, 11], [17, 22, 18, 23], [19, 27, 20, 26], [21, 12, 22, 13], [23, 16, 24, 17], [25, 15, 26, 14], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_119","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1194_1 # r10_1194_1 # r10_119None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 9, 24], [12, 19, 11, 18], [14, 28, 13, 9], [16, 11, 15, 10], [18, 23, 17, 22], [20, 26, 19, 27], [22, 13, 21, 12], [24, 17, 23, 16], [26, 14, 25, 15], [28, 20, 27, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_119","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1194_1 # m10_1194_1 # m10_119None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 19, 12, 18], [13, 28, 14, 9], [15, 11, 16, 10], [17, 23, 18, 22], [19, 26, 20, 27], [21, 13, 22, 12], [23, 17, 24, 16], [25, 14, 26, 15], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_119","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1194_1 # mr10_1194_1 # mr10_119None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 9, 25], [12, 18, 11, 19], [14, 9, 13, 28], [16, 10, 15, 11], [18, 22, 17, 23], [20, 27, 19, 26], [22, 12, 21, 13], [24, 16, 23, 17], [26, 15, 25, 14], [28, 21, 27, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_119","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1204_1 # 10_1204_1 # 10_120None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 26, 13, 25], [14, 20, 15, 19], [16, 12, 17, 11], [18, 24, 19, 23], [20, 28, 21, 27], [22, 16, 23, 15], [24, 10, 25, 9], [26, 22, 27, 21], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_120","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1204_1 # m10_1204_1 # m10_120None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 25, 13, 26], [14, 19, 15, 20], [16, 11, 17, 12], [18, 23, 19, 24], [20, 27, 21, 28], [22, 15, 23, 16], [24, 9, 25, 10], [26, 21, 27, 22], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_120","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1214_1 # 10_1214_1 # 10_121None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 18, 13, 17], [14, 10, 15, 9], [16, 24, 17, 23], [18, 25, 19, 26], [20, 16, 21, 15], [22, 28, 23, 27], [24, 11, 25, 12], [26, 14, 27, 13], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_121","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1214_1 # m10_1214_1 # m10_121None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 17, 13, 18], [14, 9, 15, 10], [16, 23, 17, 24], [18, 26, 19, 25], [20, 15, 21, 16], [22, 27, 23, 28], [24, 12, 25, 11], [26, 13, 27, 14], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_121","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1224_1 # 10_1224_1 # 10_122None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 19, 12, 18], [13, 20, 14, 21], [15, 24, 16, 25], [17, 23, 18, 22], [19, 26, 20, 27], [21, 9, 22, 28], [23, 10, 24, 11], [25, 14, 26, 15], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_122","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1224_1 # m10_1224_1 # m10_122None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 18, 12, 19], [13, 21, 14, 20], [15, 25, 16, 24], [17, 22, 18, 23], [19, 27, 20, 26], [21, 28, 22, 9], [23, 11, 24, 10], [25, 15, 26, 14], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_122","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1234_1 # 10_1234_1 # 10_123None14truecomposite1[[16, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 17, 9], [18, 11, 19, 12], [20, 14, 21, 13], [12, 26, 13, 25], [26, 19, 27, 20], [10, 23, 11, 24], [24, 18, 25, 17], [28, 22, 9, 21], [22, 15, 23, 16], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_123","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_1244_1 # 10_1244_1 # 10_124NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 19, 12, 18], [13, 21, 14, 20], [15, 27, 16, 26], [17, 11, 18, 10], [19, 13, 20, 12], [22, 28, 23, 27], [24, 22, 25, 21], [25, 15, 26, 14], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_124","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1244_1 # m10_1244_1 # m10_124NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 18, 12, 19], [13, 20, 14, 21], [15, 26, 16, 27], [17, 10, 18, 11], [19, 12, 20, 13], [22, 27, 23, 28], [24, 21, 25, 22], [25, 14, 26, 15], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_124","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1254_1 # 10_1254_1 # 10_125NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [13, 23, 14, 22], [28, 23, 9, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [21, 15, 22, 14], [15, 11, 16, 10]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_125","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1254_1 # m10_1254_1 # m10_125NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 16, 12, 17], [13, 22, 14, 23], [28, 24, 9, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [21, 14, 22, 15], [15, 10, 16, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_125","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1264_1 # 10_1264_1 # 10_126NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 23, 13, 24], [13, 17, 14, 16], [15, 11, 16, 10], [18, 25, 19, 26], [20, 27, 21, 28], [22, 17, 23, 18], [24, 11, 25, 12], [26, 19, 27, 20], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_126","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1264_1 # m10_1264_1 # m10_126NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 24, 13, 23], [13, 16, 14, 17], [15, 10, 16, 11], [18, 26, 19, 25], [20, 28, 21, 27], [22, 18, 23, 17], [24, 12, 25, 11], [26, 20, 27, 19], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_126","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1274_1 # 10_1274_1 # 10_127NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 23, 13, 24], [13, 17, 14, 16], [15, 11, 16, 10], [17, 23, 18, 22], [19, 27, 20, 26], [21, 9, 22, 28], [24, 11, 25, 12], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_127","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1274_1 # m10_1274_1 # m10_127NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 24, 13, 23], [13, 16, 14, 17], [15, 10, 16, 11], [17, 22, 18, 23], [19, 26, 20, 27], [21, 28, 22, 9], [24, 12, 25, 11], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_127","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1284_1 # 10_1284_1 # 10_128NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 19, 12, 18], [13, 21, 14, 20], [15, 27, 16, 26], [17, 13, 18, 12], [19, 11, 20, 10], [22, 28, 23, 27], [24, 22, 25, 21], [25, 15, 26, 14], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_128","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1284_1 # m10_1284_1 # m10_128NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 18, 12, 19], [13, 20, 14, 21], [15, 26, 16, 27], [17, 12, 18, 13], [19, 10, 20, 11], [22, 27, 23, 28], [24, 21, 25, 22], [25, 14, 26, 15], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_128","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1294_1 # 10_1294_1 # 10_129NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 25, 12, 24], [13, 17, 14, 16], [15, 11, 16, 10], [18, 27, 19, 28], [20, 25, 21, 26], [22, 17, 23, 18], [23, 13, 24, 12], [26, 19, 27, 20], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_129","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1294_1 # m10_1294_1 # m10_129NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 24, 12, 25], [13, 16, 14, 17], [15, 10, 16, 11], [18, 28, 19, 27], [20, 26, 21, 25], [22, 18, 23, 17], [23, 12, 24, 13], [26, 20, 27, 19], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_129","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1304_1 # 10_1304_1 # 10_130NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 23, 13, 24], [13, 17, 14, 16], [15, 11, 16, 10], [18, 27, 19, 28], [20, 25, 21, 26], [22, 17, 23, 18], [24, 11, 25, 12], [26, 19, 27, 20], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_130","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1304_1 # m10_1304_1 # m10_130NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 24, 13, 23], [13, 16, 14, 17], [15, 10, 16, 11], [18, 28, 19, 27], [20, 26, 21, 25], [22, 18, 23, 17], [24, 12, 25, 11], [26, 20, 27, 19], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_130","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1314_1 # 10_1314_1 # 10_131NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 23, 13, 24], [13, 17, 14, 16], [15, 11, 16, 10], [17, 23, 18, 22], [19, 27, 20, 26], [21, 9, 22, 28], [24, 11, 25, 12], [25, 21, 26, 20], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_131","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1314_1 # m10_1314_1 # m10_131NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 24, 13, 23], [13, 16, 14, 17], [15, 10, 16, 11], [17, 22, 18, 23], [19, 26, 20, 27], [21, 28, 22, 9], [24, 12, 25, 11], [25, 20, 26, 21], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_131","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1324_1 # 10_1324_1 # 10_132NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 26, 12, 27], [13, 20, 14, 21], [15, 18, 16, 19], [17, 10, 18, 11], [19, 14, 20, 15], [22, 28, 23, 27], [24, 22, 25, 21], [25, 12, 26, 13], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_132","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1324_1 # m10_1324_1 # m10_132NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 27, 12, 26], [13, 21, 14, 20], [15, 19, 16, 18], [17, 11, 18, 10], [19, 15, 20, 14], [22, 27, 23, 28], [24, 21, 25, 22], [25, 13, 26, 12], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_132","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1334_1 # 10_1334_1 # 10_133NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 10, 13, 9], [15, 21, 16, 20], [17, 15, 18, 14], [19, 26, 20, 27], [21, 17, 22, 16], [22, 28, 23, 27], [24, 12, 25, 11], [25, 18, 26, 19], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_133","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1334_1 # m10_1334_1 # m10_133NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 9, 13, 10], [15, 20, 16, 21], [17, 14, 18, 15], [19, 27, 20, 26], [21, 16, 22, 17], [22, 27, 23, 28], [24, 11, 25, 12], [25, 19, 26, 18], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_133","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1344_1 # 10_1344_1 # 10_134NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 10, 13, 9], [15, 21, 16, 20], [17, 15, 18, 14], [18, 26, 19, 25], [21, 17, 22, 16], [22, 28, 23, 27], [24, 12, 25, 11], [26, 20, 27, 19], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_134","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1344_1 # m10_1344_1 # m10_134NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 9, 13, 10], [15, 20, 16, 21], [17, 14, 18, 15], [18, 25, 19, 26], [21, 16, 22, 17], [22, 27, 23, 28], [24, 11, 25, 12], [26, 19, 27, 20], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_134","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1354_1 # 10_1354_1 # 10_135NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 24, 12, 25], [13, 28, 14, 9], [15, 21, 16, 20], [17, 15, 18, 14], [18, 26, 19, 25], [21, 17, 22, 16], [23, 10, 24, 11], [26, 20, 27, 19], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_135","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1354_1 # m10_1354_1 # m10_135NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 25, 12, 24], [13, 9, 14, 28], [15, 20, 16, 21], [17, 14, 18, 15], [18, 25, 19, 26], [21, 16, 22, 17], [23, 11, 24, 10], [26, 19, 27, 20], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_135","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1364_1 # 10_1364_1 # 10_136NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 11, 26], [12, 10, 13, 9], [15, 22, 16, 23], [17, 15, 18, 14], [20, 27, 21, 28], [21, 16, 22, 17], [23, 19, 24, 18], [24, 11, 25, 12], [26, 19, 27, 20], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_136","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1364_1 # m10_1364_1 # m10_136NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 11, 25], [12, 9, 13, 10], [15, 23, 16, 22], [17, 14, 18, 15], [20, 28, 21, 27], [21, 17, 22, 16], [23, 18, 24, 19], [24, 12, 25, 11], [26, 20, 27, 19], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_136","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1374_1 # 10_1374_1 # 10_137NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 16, 13, 15], [14, 27, 15, 28], [17, 25, 18, 24], [19, 16, 20, 17], [21, 11, 22, 10], [23, 19, 24, 18], [25, 20, 26, 21], [26, 12, 27, 11], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_137","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1374_1 # m10_1374_1 # m10_137NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 15, 13, 16], [14, 28, 15, 27], [17, 24, 18, 25], [19, 17, 20, 16], [21, 10, 22, 11], [23, 18, 24, 19], [25, 21, 26, 20], [26, 11, 27, 12], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_137","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1384_1 # 10_1384_1 # 10_138NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 16, 13, 15], [14, 27, 15, 28], [16, 20, 17, 19], [18, 23, 19, 24], [20, 26, 21, 25], [21, 11, 22, 10], [24, 17, 25, 18], [26, 12, 27, 11], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_138","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1384_1 # m10_1384_1 # m10_138NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 15, 13, 16], [14, 28, 15, 27], [16, 19, 17, 20], [18, 24, 19, 23], [20, 25, 21, 26], [21, 10, 22, 11], [24, 18, 25, 17], [26, 11, 27, 12], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_138","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1394_1 # 10_1394_1 # 10_139NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [12, 26, 13, 25], [13, 21, 14, 20], [15, 23, 16, 22], [17, 9, 18, 28], [19, 11, 20, 10], [21, 15, 22, 14], [24, 12, 25, 11], [26, 24, 27, 23], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_139","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1394_1 # m10_1394_1 # m10_139NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [12, 25, 13, 26], [13, 20, 14, 21], [15, 22, 16, 23], [17, 28, 18, 9], [19, 10, 20, 11], [21, 14, 22, 15], [24, 11, 25, 12], [26, 23, 27, 24], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_139","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1404_1 # 10_1404_1 # 10_140NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 18, 12, 19], [13, 20, 14, 21], [14, 26, 15, 25], [16, 24, 17, 23], [19, 12, 20, 13], [21, 9, 22, 28], [24, 16, 25, 15], [26, 18, 27, 17], [27, 11, 28, 10]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_140","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1404_1 # m10_1404_1 # m10_140NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 19, 12, 18], [13, 21, 14, 20], [14, 25, 15, 26], [16, 23, 17, 24], [19, 13, 20, 12], [21, 28, 22, 9], [24, 15, 25, 16], [26, 17, 27, 18], [27, 10, 28, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_140","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1414_1 # 10_1414_1 # 10_141NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 17, 13, 18], [13, 27, 14, 26], [15, 23, 16, 22], [18, 9, 19, 10], [20, 11, 21, 12], [21, 25, 22, 24], [23, 17, 24, 16], [25, 9, 26, 28], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_141","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1414_1 # m10_1414_1 # m10_141NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 18, 13, 17], [13, 26, 14, 27], [15, 22, 16, 23], [18, 10, 19, 9], [20, 12, 21, 11], [21, 24, 22, 25], [23, 16, 24, 17], [25, 28, 26, 9], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_141","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1424_1 # 10_1424_1 # 10_142NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 20, 13, 19], [14, 26, 15, 25], [16, 24, 17, 23], [18, 12, 19, 11], [20, 14, 21, 13], [21, 9, 22, 28], [24, 16, 25, 15], [26, 18, 27, 17], [27, 11, 28, 10]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_142","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1424_1 # m10_1424_1 # m10_142NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 19, 13, 20], [14, 25, 15, 26], [16, 23, 17, 24], [18, 11, 19, 12], [20, 13, 21, 14], [21, 28, 22, 9], [24, 15, 25, 16], [26, 17, 27, 18], [27, 10, 28, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_142","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1434_1 # 10_1434_1 # 10_143NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 17, 13, 18], [14, 27, 15, 28], [15, 23, 16, 22], [18, 9, 19, 10], [20, 11, 21, 12], [21, 25, 22, 24], [23, 17, 24, 16], [26, 13, 27, 14], [28, 25, 9, 26]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_143","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1434_1 # m10_1434_1 # m10_143NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 18, 13, 17], [14, 28, 15, 27], [15, 22, 16, 23], [18, 10, 19, 9], [20, 12, 21, 11], [21, 24, 22, 25], [23, 16, 24, 17], [26, 14, 27, 13], [28, 26, 9, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_143","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1444_1 # 10_1444_1 # 10_144NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 22, 14, 23], [15, 19, 16, 18], [17, 11, 18, 10], [20, 28, 21, 27], [23, 12, 24, 13], [25, 14, 26, 15], [26, 20, 27, 19], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_144","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1444_1 # m10_1444_1 # m10_144NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 23, 14, 22], [15, 18, 16, 19], [17, 10, 18, 11], [20, 27, 21, 28], [23, 13, 24, 12], [25, 15, 26, 14], [26, 19, 27, 20], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_144","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1454_1 # 10_1454_1 # 10_145NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 26, 12, 27], [14, 21, 15, 22], [16, 14, 17, 13], [17, 24, 18, 25], [19, 10, 20, 11], [20, 15, 21, 16], [23, 28, 24, 9], [25, 12, 26, 13], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_145","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1454_1 # m10_1454_1 # m10_145NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 27, 12, 26], [14, 22, 15, 21], [16, 13, 17, 14], [17, 25, 18, 24], [19, 11, 20, 10], [20, 16, 21, 15], [23, 9, 24, 28], [25, 13, 26, 12], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_145","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1464_1 # 10_1464_1 # 10_146NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 18, 13, 17], [14, 22, 15, 21], [16, 25, 17, 26], [18, 12, 19, 11], [20, 16, 21, 15], [23, 28, 24, 9], [24, 19, 25, 20], [26, 13, 27, 14], [27, 11, 28, 10]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_146","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1464_1 # m10_1464_1 # m10_146NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 17, 13, 18], [14, 21, 15, 22], [16, 26, 17, 25], [18, 11, 19, 12], [20, 15, 21, 16], [23, 9, 24, 28], [24, 20, 25, 19], [26, 14, 27, 13], [27, 10, 28, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_146","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1474_1 # 10_1474_1 # 10_147NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [11, 26, 12, 27], [14, 19, 15, 20], [16, 24, 17, 23], [18, 10, 19, 9], [21, 12, 22, 13], [22, 26, 23, 25], [24, 18, 25, 17], [27, 21, 28, 20], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_147","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1474_1 # r10_1474_1 # r10_147NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 16], [12, 27, 11, 26], [15, 20, 14, 19], [17, 23, 16, 24], [19, 9, 18, 10], [22, 13, 21, 12], [23, 25, 22, 26], [25, 17, 24, 18], [28, 20, 27, 21], [9, 14, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_147","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1474_1 # m10_1474_1 # m10_147NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [11, 27, 12, 26], [14, 20, 15, 19], [16, 23, 17, 24], [18, 9, 19, 10], [21, 13, 22, 12], [22, 25, 23, 26], [24, 17, 25, 18], [27, 20, 28, 21], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_147","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1474_1 # mr10_1474_1 # mr10_147NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 15], [12, 26, 11, 27], [15, 19, 14, 20], [17, 24, 16, 23], [19, 10, 18, 9], [22, 12, 21, 13], [23, 26, 22, 25], [25, 18, 24, 17], [28, 21, 27, 20], [9, 13, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_147","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1484_1 # 10_1484_1 # 10_148NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 11, 26], [12, 17, 13, 18], [14, 27, 15, 28], [15, 21, 16, 20], [18, 11, 19, 12], [19, 23, 20, 22], [21, 17, 22, 16], [24, 9, 25, 10], [26, 13, 27, 14], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_148","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1484_1 # r10_1484_1 # r10_148NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 10, 25], [13, 18, 12, 17], [15, 28, 14, 27], [16, 20, 15, 21], [19, 12, 18, 11], [20, 22, 19, 23], [22, 16, 21, 17], [25, 10, 24, 9], [27, 14, 26, 13], [9, 24, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_148","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1484_1 # m10_1484_1 # m10_148NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 11, 25], [12, 18, 13, 17], [14, 28, 15, 27], [15, 20, 16, 21], [18, 12, 19, 11], [19, 22, 20, 23], [21, 16, 22, 17], [24, 10, 25, 9], [26, 14, 27, 13], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_148","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1484_1 # mr10_1484_1 # mr10_148NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 26], [13, 17, 12, 18], [15, 27, 14, 28], [16, 21, 15, 20], [19, 11, 18, 12], [20, 23, 19, 22], [22, 17, 21, 16], [25, 9, 24, 10], [27, 13, 26, 14], [9, 23, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_148","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1494_1 # 10_1494_1 # 10_149NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [12, 17, 13, 18], [13, 27, 14, 26], [15, 21, 16, 20], [18, 11, 19, 12], [19, 23, 20, 22], [21, 17, 22, 16], [23, 9, 24, 28], [25, 11, 26, 10], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_149","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1494_1 # r10_1494_1 # r10_149NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 9, 25], [13, 18, 12, 17], [14, 26, 13, 27], [16, 20, 15, 21], [19, 12, 18, 11], [20, 22, 19, 23], [22, 16, 21, 17], [24, 28, 23, 9], [26, 10, 25, 11], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_149","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1494_1 # m10_1494_1 # m10_149NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [12, 18, 13, 17], [13, 26, 14, 27], [15, 20, 16, 21], [18, 12, 19, 11], [19, 22, 20, 23], [21, 16, 22, 17], [23, 28, 24, 9], [25, 10, 26, 11], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_149","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1494_1 # mr10_1494_1 # mr10_149NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 9, 24], [13, 17, 12, 18], [14, 27, 13, 26], [16, 21, 15, 20], [19, 11, 18, 12], [20, 23, 19, 22], [22, 17, 21, 16], [24, 9, 23, 28], [26, 11, 25, 10], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_149","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1504_1 # 10_1504_1 # 10_150NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 15, 12, 14], [13, 9, 14, 28], [16, 22, 17, 21], [18, 16, 19, 15], [19, 26, 20, 27], [22, 18, 23, 17], [23, 11, 24, 10], [25, 20, 26, 21], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_150","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1504_1 # r10_1504_1 # r10_150NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 9, 25], [12, 14, 11, 15], [14, 28, 13, 9], [17, 21, 16, 22], [19, 15, 18, 16], [20, 27, 19, 26], [23, 17, 22, 18], [24, 10, 23, 11], [26, 21, 25, 20], [28, 12, 27, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_150","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1504_1 # m10_1504_1 # m10_150NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 14, 12, 15], [13, 28, 14, 9], [16, 21, 17, 22], [18, 15, 19, 16], [19, 27, 20, 26], [22, 17, 23, 18], [23, 10, 24, 11], [25, 21, 26, 20], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_150","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1504_1 # mr10_1504_1 # mr10_150NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 9, 24], [12, 15, 11, 14], [14, 9, 13, 28], [17, 22, 16, 21], [19, 16, 18, 15], [20, 26, 19, 27], [23, 18, 22, 17], [24, 11, 23, 10], [26, 20, 25, 21], [28, 13, 27, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_150","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1514_1 # 10_1514_1 # 10_151NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 27, 13, 28], [14, 11, 15, 12], [16, 22, 17, 21], [18, 16, 19, 15], [19, 26, 20, 27], [22, 18, 23, 17], [24, 9, 25, 10], [25, 20, 26, 21], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_151","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1514_1 # r10_1514_1 # r10_151NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 23], [13, 28, 12, 27], [15, 12, 14, 11], [17, 21, 16, 22], [19, 15, 18, 16], [20, 27, 19, 26], [23, 17, 22, 18], [25, 10, 24, 9], [26, 21, 25, 20], [9, 14, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_151","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1514_1 # m10_1514_1 # m10_151NoneNonefalsecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 28, 13, 27], [14, 12, 15, 11], [16, 21, 17, 22], [18, 15, 19, 16], [19, 27, 20, 26], [22, 17, 23, 18], [24, 10, 25, 9], [25, 21, 26, 20], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_151","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1514_1 # mr10_1514_1 # mr10_151NoneNonefalsecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 24], [13, 27, 12, 28], [15, 11, 14, 12], [17, 22, 16, 21], [19, 16, 18, 15], [20, 26, 19, 27], [23, 18, 22, 17], [25, 9, 24, 10], [26, 20, 25, 21], [9, 13, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_151","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1524_1 # 10_1524_1 # 10_152NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 17, 12, 16], [13, 27, 14, 26], [15, 11, 16, 10], [18, 24, 19, 23], [20, 28, 21, 27], [22, 18, 23, 17], [24, 20, 25, 19], [25, 13, 26, 12], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_152","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1524_1 # m10_1524_1 # m10_152NoneNonefalsecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 16, 12, 17], [13, 26, 14, 27], [15, 10, 16, 11], [18, 23, 19, 24], [20, 27, 21, 28], [22, 17, 23, 18], [24, 19, 25, 20], [25, 12, 26, 13], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_152","mirror":true,"reverse":false}]falsetruereversible[]