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 # 11n_51m3_1 # 11n_51m3_1 # 11n_51NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [21, 28, 22, 7], [15, 22, 16, 23], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [27, 18, 28, 19], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_51","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_51m3_1 # m11n_51m3_1 # m11n_51NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [21, 7, 22, 28], [15, 23, 16, 22], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [27, 19, 28, 18], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_51","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_52m3_1 # 11n_52m3_1 # 11n_52NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [28, 22, 7, 21], [22, 16, 23, 15], [26, 24, 27, 23], [24, 17, 25, 18], [16, 25, 17, 26], [18, 28, 19, 27], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_52","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_52m3_1 # m11n_52m3_1 # m11n_52NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [28, 21, 7, 22], [22, 15, 23, 16], [26, 23, 27, 24], [24, 18, 25, 17], [16, 26, 17, 25], [18, 27, 19, 28], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_52","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_53m3_1 # 11n_53m3_1 # 11n_53NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [21, 28, 22, 7], [15, 22, 16, 23], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [27, 18, 28, 19], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_53","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_53m3_1 # m11n_53m3_1 # m11n_53NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [21, 7, 22, 28], [15, 23, 16, 22], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [27, 19, 28, 18], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_53","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_54m3_1 # 11n_54m3_1 # 11n_54NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [21, 28, 22, 7], [15, 22, 16, 23], [27, 16, 28, 17], [17, 25, 18, 24], [23, 27, 24, 26], [25, 19, 26, 18], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_54","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_54m3_1 # m11n_54m3_1 # m11n_54NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [21, 7, 22, 28], [15, 23, 16, 22], [27, 17, 28, 16], [17, 24, 18, 25], [23, 26, 24, 27], [25, 18, 26, 19], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_54","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_55m3_1 # 11n_55m3_1 # 11n_55NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [28, 22, 7, 21], [22, 16, 23, 15], [16, 28, 17, 27], [24, 17, 25, 18], [26, 23, 27, 24], [18, 25, 19, 26], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_55","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_55m3_1 # m11n_55m3_1 # m11n_55NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [28, 21, 7, 22], [22, 15, 23, 16], [16, 27, 17, 28], [24, 18, 25, 17], [26, 24, 27, 23], [18, 26, 19, 25], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_55","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_56m3_1 # 11n_56m3_1 # 11n_56NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [21, 28, 22, 7], [15, 22, 16, 23], [27, 16, 28, 17], [17, 25, 18, 24], [23, 27, 24, 26], [25, 19, 26, 18], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_56","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_56m3_1 # m11n_56m3_1 # m11n_56NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [21, 7, 22, 28], [15, 23, 16, 22], [27, 17, 28, 16], [17, 24, 18, 25], [23, 26, 24, 27], [25, 18, 26, 19], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_56","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_57m3_1 # 11n_57m3_1 # 11n_57NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [11, 21, 12, 20], [21, 13, 22, 12], [17, 25, 18, 24], [23, 17, 24, 16], [25, 7, 26, 28], [19, 26, 20, 27], [27, 18, 28, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_57","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_57m3_1 # m11n_57m3_1 # m11n_57NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [11, 20, 12, 21], [21, 12, 22, 13], [17, 24, 18, 25], [23, 16, 24, 17], [25, 28, 26, 7], [19, 27, 20, 26], [27, 19, 28, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_57","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_58m3_1 # 11n_58m3_1 # 11n_58NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [20, 11, 21, 12], [12, 21, 13, 22], [23, 7, 24, 28], [17, 24, 18, 25], [27, 16, 28, 17], [19, 26, 20, 27], [25, 18, 26, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_58","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_58m3_1 # m11n_58m3_1 # m11n_58NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [20, 12, 21, 11], [12, 22, 13, 21], [23, 28, 24, 7], [17, 25, 18, 24], [27, 17, 28, 16], [19, 27, 20, 26], [25, 19, 26, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_58","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_59m3_1 # 11n_59m3_1 # 11n_59NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [11, 21, 12, 20], [21, 13, 22, 12], [28, 23, 7, 24], [24, 18, 25, 17], [16, 28, 17, 27], [26, 20, 27, 19], [18, 26, 19, 25], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_59","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_59m3_1 # m11n_59m3_1 # m11n_59NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [11, 20, 12, 21], [21, 12, 22, 13], [28, 24, 7, 23], [24, 17, 25, 18], [16, 27, 17, 28], [26, 19, 27, 20], [18, 25, 19, 26], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_59","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_60m3_1 # 11n_60m3_1 # 11n_60NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [11, 21, 12, 20], [21, 13, 22, 12], [23, 7, 24, 28], [17, 24, 18, 25], [27, 16, 28, 17], [19, 26, 20, 27], [25, 18, 26, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_60","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_60m3_1 # m11n_60m3_1 # m11n_60NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [11, 20, 12, 21], [21, 12, 22, 13], [23, 28, 24, 7], [17, 25, 18, 24], [27, 17, 28, 16], [19, 27, 20, 26], [25, 19, 26, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_60","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_61m3_1 # 11n_61m3_1 # 11n_61NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [11, 21, 12, 20], [21, 13, 22, 12], [19, 7, 20, 28], [27, 17, 28, 16], [17, 24, 18, 25], [23, 26, 24, 27], [25, 18, 26, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_61","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_61m3_1 # m11n_61m3_1 # m11n_61NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [11, 20, 12, 21], [21, 12, 22, 13], [19, 28, 20, 7], [27, 16, 28, 17], [17, 25, 18, 24], [23, 27, 24, 26], [25, 19, 26, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_61","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_62m3_1 # 11n_62m3_1 # 11n_62NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [20, 11, 21, 12], [12, 21, 13, 22], [23, 7, 24, 28], [19, 24, 20, 25], [17, 26, 18, 27], [25, 18, 26, 19], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_62","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_62m3_1 # m11n_62m3_1 # m11n_62NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [20, 12, 21, 11], [12, 22, 13, 21], [23, 28, 24, 7], [19, 25, 20, 24], [17, 27, 18, 26], [25, 19, 26, 18], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_62","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_63m3_1 # 11n_63m3_1 # 11n_63NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [11, 21, 12, 20], [21, 13, 22, 12], [28, 23, 7, 24], [24, 20, 25, 19], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_63","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_63m3_1 # m11n_63m3_1 # m11n_63NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [11, 20, 12, 21], [21, 12, 22, 13], [28, 24, 7, 23], [24, 19, 25, 20], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_63","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_64m3_1 # 11n_64m3_1 # 11n_64NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 23, 16, 22], [11, 21, 12, 20], [21, 13, 22, 12], [23, 7, 24, 28], [19, 24, 20, 25], [17, 26, 18, 27], [25, 18, 26, 19], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_64","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_64m3_1 # m11n_64m3_1 # m11n_64NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 22, 16, 23], [11, 20, 12, 21], [21, 12, 22, 13], [23, 28, 24, 7], [19, 25, 20, 24], [17, 27, 18, 26], [25, 19, 26, 18], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_64","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_65m3_1 # 11n_65m3_1 # 11n_65NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [20, 11, 21, 12], [12, 21, 13, 22], [24, 15, 25, 16], [16, 23, 17, 24], [25, 7, 26, 28], [19, 26, 20, 27], [27, 18, 28, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_65","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_65m3_1 # m11n_65m3_1 # m11n_65NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [20, 12, 21, 11], [12, 22, 13, 21], [24, 16, 25, 15], [16, 24, 17, 23], [25, 28, 26, 7], [19, 27, 20, 26], [27, 19, 28, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_65","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_66m3_1 # 11n_66m3_1 # 11n_66NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [20, 11, 21, 12], [12, 21, 13, 22], [15, 25, 16, 24], [23, 17, 24, 16], [28, 25, 7, 26], [26, 20, 27, 19], [18, 28, 19, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_66","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_66m3_1 # m11n_66m3_1 # m11n_66NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [20, 12, 21, 11], [12, 22, 13, 21], [15, 24, 16, 25], [23, 16, 24, 17], [28, 26, 7, 25], [26, 19, 27, 20], [18, 27, 19, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_66","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_67m3_1 # 11n_67m3_1 # 11n_67NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [20, 11, 21, 12], [12, 21, 13, 22], [15, 25, 16, 24], [23, 17, 24, 16], [25, 7, 26, 28], [19, 26, 20, 27], [27, 18, 28, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_67","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_67m3_1 # r11n_67m3_1 # r11n_67NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [18, 22, 17, 23], [21, 12, 20, 11], [13, 22, 12, 21], [16, 24, 15, 25], [24, 16, 23, 17], [26, 28, 25, 7], [20, 27, 19, 26], [28, 19, 27, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_67","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_67m3_1 # m11n_67m3_1 # m11n_67NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [20, 12, 21, 11], [12, 22, 13, 21], [15, 24, 16, 25], [23, 16, 24, 17], [25, 28, 26, 7], [19, 27, 20, 26], [27, 19, 28, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_67","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_67m3_1 # mr11n_67m3_1 # mr11n_67NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [18, 23, 17, 22], [21, 11, 20, 12], [13, 21, 12, 22], [16, 25, 15, 24], [24, 17, 23, 16], [26, 7, 25, 28], [20, 26, 19, 27], [28, 18, 27, 19], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_67","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_68m3_1 # 11n_68m3_1 # 11n_68NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [11, 21, 12, 20], [21, 13, 22, 12], [24, 15, 25, 16], [16, 23, 17, 24], [28, 25, 7, 26], [26, 20, 27, 19], [18, 28, 19, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_68","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_68m3_1 # r11n_68m3_1 # r11n_68NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [23, 18, 22, 17], [12, 20, 11, 21], [22, 12, 21, 13], [25, 16, 24, 15], [17, 24, 16, 23], [7, 26, 28, 25], [27, 19, 26, 20], [19, 27, 18, 28], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_68","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_68m3_1 # m11n_68m3_1 # m11n_68NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [11, 20, 12, 21], [21, 12, 22, 13], [24, 16, 25, 15], [16, 24, 17, 23], [28, 26, 7, 25], [26, 19, 27, 20], [18, 27, 19, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_68","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_68m3_1 # mr11n_68m3_1 # mr11n_68NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [23, 17, 22, 18], [12, 21, 11, 20], [22, 13, 21, 12], [25, 15, 24, 16], [17, 23, 16, 24], [7, 25, 28, 26], [27, 20, 26, 19], [19, 28, 18, 27], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_68","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_69m3_1 # 11n_69m3_1 # 11n_69NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 13, 22, 12], [15, 25, 16, 24], [23, 17, 24, 16], [25, 7, 26, 28], [19, 26, 20, 27], [27, 18, 28, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_69","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_69m3_1 # r11n_69m3_1 # r11n_69NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [18, 22, 17, 23], [12, 20, 11, 21], [22, 12, 21, 13], [16, 24, 15, 25], [24, 16, 23, 17], [26, 28, 25, 7], [20, 27, 19, 26], [28, 19, 27, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_69","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_69m3_1 # m11n_69m3_1 # m11n_69NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 12, 22, 13], [15, 24, 16, 25], [23, 16, 24, 17], [25, 28, 26, 7], [19, 27, 20, 26], [27, 19, 28, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_69","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_69m3_1 # mr11n_69m3_1 # mr11n_69NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [18, 23, 17, 22], [12, 21, 11, 20], [22, 13, 21, 12], [16, 25, 15, 24], [24, 17, 23, 16], [26, 7, 25, 28], [20, 26, 19, 27], [28, 18, 27, 19], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_69","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_70m3_1 # 11n_70m3_1 # 11n_70NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [15, 25, 16, 24], [17, 27, 18, 26], [21, 28, 22, 7], [25, 17, 26, 16], [27, 22, 28, 23], [23, 19, 24, 18], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_70","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_70m3_1 # m11n_70m3_1 # m11n_70NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [15, 24, 16, 25], [17, 26, 18, 27], [21, 7, 22, 28], [25, 16, 26, 17], [27, 23, 28, 22], [23, 18, 24, 19], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_70","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_71m3_1 # 11n_71m3_1 # 11n_71NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [24, 22, 25, 21], [22, 18, 23, 17], [18, 24, 19, 23], [25, 28, 26, 7], [15, 26, 16, 27], [27, 16, 28, 17], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_71","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_71m3_1 # m11n_71m3_1 # m11n_71NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [24, 21, 25, 22], [22, 17, 23, 18], [18, 23, 19, 24], [25, 7, 26, 28], [15, 27, 16, 26], [27, 17, 28, 16], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_71","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_72m3_1 # 11n_72m3_1 # 11n_72NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [24, 22, 25, 21], [22, 18, 23, 17], [18, 24, 19, 23], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_72","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_72m3_1 # m11n_72m3_1 # m11n_72NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [24, 21, 25, 22], [22, 17, 23, 18], [18, 23, 19, 24], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_72","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_73m3_1 # 11n_73m3_1 # 11n_73NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [21, 24, 22, 25], [17, 22, 18, 23], [23, 18, 24, 19], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_73","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_73m3_1 # m11n_73m3_1 # m11n_73NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [21, 25, 22, 24], [17, 23, 18, 22], [23, 19, 24, 18], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_73","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_74m3_1 # 11n_74m3_1 # 11n_74NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [24, 22, 25, 21], [22, 18, 23, 17], [18, 24, 19, 23], [25, 28, 26, 7], [15, 26, 16, 27], [27, 16, 28, 17], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_74","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_74m3_1 # m11n_74m3_1 # m11n_74NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [24, 21, 25, 22], [22, 17, 23, 18], [18, 23, 19, 24], [25, 7, 26, 28], [15, 27, 16, 26], [27, 17, 28, 16], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_74","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_75m3_1 # 11n_75m3_1 # 11n_75NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [21, 24, 22, 25], [17, 22, 18, 23], [23, 18, 24, 19], [25, 28, 26, 7], [15, 26, 16, 27], [27, 16, 28, 17], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_75","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_75m3_1 # m11n_75m3_1 # m11n_75NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [21, 25, 22, 24], [17, 23, 18, 22], [23, 19, 24, 18], [25, 7, 26, 28], [15, 27, 16, 26], [27, 17, 28, 16], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_75","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_76m3_1 # 11n_76m3_1 # 11n_76NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [20, 11, 21, 12], [12, 21, 13, 22], [25, 28, 26, 7], [15, 26, 16, 27], [27, 16, 28, 17], [24, 19, 25, 20], [18, 23, 19, 24], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_76","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_76m3_1 # m11n_76m3_1 # m11n_76NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [20, 12, 21, 11], [12, 22, 13, 21], [25, 7, 26, 28], [15, 27, 16, 26], [27, 17, 28, 16], [24, 20, 25, 19], [18, 24, 19, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_76","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_77m3_1 # 11n_77m3_1 # 11n_77NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 13, 22, 12], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [19, 25, 20, 24], [23, 19, 24, 18], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_77","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_77m3_1 # m11n_77m3_1 # m11n_77NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 12, 22, 13], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [19, 24, 20, 25], [23, 18, 24, 19], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_77","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_78m3_1 # 11n_78m3_1 # 11n_78NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 13, 22, 12], [25, 28, 26, 7], [15, 26, 16, 27], [27, 16, 28, 17], [19, 25, 20, 24], [23, 19, 24, 18], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_78","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_78m3_1 # m11n_78m3_1 # m11n_78NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 12, 22, 13], [25, 7, 26, 28], [15, 27, 16, 26], [27, 17, 28, 16], [19, 24, 20, 25], [23, 18, 24, 19], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_78","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_79m3_1 # 11n_79m3_1 # 11n_79NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 20, 12, 21], [15, 27, 16, 26], [21, 28, 22, 7], [27, 22, 28, 23], [17, 25, 18, 24], [23, 19, 24, 18], [25, 17, 26, 16], [19, 12, 20, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_79","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_79m3_1 # m11n_79m3_1 # m11n_79NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 21, 12, 20], [15, 26, 16, 27], [21, 7, 22, 28], [27, 23, 28, 22], [17, 24, 18, 25], [23, 18, 24, 19], [25, 16, 26, 17], [19, 13, 20, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_79","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_80m3_1 # 11n_80m3_1 # 11n_80NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [21, 26, 22, 27], [17, 24, 18, 25], [25, 18, 26, 19], [23, 28, 24, 7], [27, 22, 28, 23], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_80","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_80m3_1 # r11n_80m3_1 # r11n_80NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 13, 16, 14], [15, 10, 14, 9], [9, 16, 8, 15], [21, 11, 20, 12], [22, 27, 21, 26], [18, 25, 17, 24], [26, 19, 25, 18], [24, 7, 23, 28], [28, 23, 27, 22], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_80","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_80m3_1 # m11n_80m3_1 # m11n_80NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [20, 11, 21, 12], [21, 27, 22, 26], [17, 25, 18, 24], [25, 19, 26, 18], [23, 7, 24, 28], [27, 23, 28, 22], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_80","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_80m3_1 # mr11n_80m3_1 # mr11n_80NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 14, 16, 13], [15, 9, 14, 10], [9, 15, 8, 16], [21, 12, 20, 11], [22, 26, 21, 27], [18, 24, 17, 25], [26, 18, 25, 19], [24, 28, 23, 7], [28, 22, 27, 23], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_80","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_81m3_1 # 11n_81m3_1 # 11n_81NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 22, 12, 23], [15, 27, 16, 26], [17, 7, 18, 28], [27, 17, 28, 16], [25, 21, 26, 20], [19, 25, 20, 24], [23, 19, 24, 18], [21, 12, 22, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_81","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_81m3_1 # m11n_81m3_1 # m11n_81NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 23, 12, 22], [15, 26, 16, 27], [17, 28, 18, 7], [27, 16, 28, 17], [25, 20, 26, 21], [19, 24, 20, 25], [23, 18, 24, 19], [21, 13, 22, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_81","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_82m3_1 # 11n_82m3_1 # 11n_82NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [14, 9, 15, 10], [8, 15, 9, 16], [19, 27, 20, 26], [11, 23, 12, 22], [25, 13, 26, 12], [21, 7, 22, 28], [27, 21, 28, 20], [17, 24, 18, 25], [23, 16, 24, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_82","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_82m3_1 # m11n_82m3_1 # m11n_82NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [14, 10, 15, 9], [8, 16, 9, 15], [19, 26, 20, 27], [11, 22, 12, 23], [25, 12, 26, 13], [21, 28, 22, 7], [27, 20, 28, 21], [17, 25, 18, 24], [23, 17, 24, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_82","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_83m3_1 # 11n_83m3_1 # 11n_83NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [14, 9, 15, 10], [8, 15, 9, 16], [21, 27, 22, 26], [11, 23, 12, 22], [25, 13, 26, 12], [19, 7, 20, 28], [27, 21, 28, 20], [17, 24, 18, 25], [23, 16, 24, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_83","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_83m3_1 # m11n_83m3_1 # m11n_83NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [14, 10, 15, 9], [8, 16, 9, 15], [21, 26, 22, 27], [11, 22, 12, 23], [25, 12, 26, 13], [19, 28, 20, 7], [27, 20, 28, 21], [17, 25, 18, 24], [23, 17, 24, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_83","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_84m3_1 # 11n_84m3_1 # 11n_84NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [11, 24, 12, 25], [14, 9, 15, 10], [8, 15, 9, 16], [17, 23, 18, 22], [13, 18, 14, 19], [21, 12, 22, 13], [23, 17, 24, 16], [25, 28, 26, 7], [19, 26, 20, 27], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_84","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_84m3_1 # m11n_84m3_1 # m11n_84NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [11, 25, 12, 24], [14, 10, 15, 9], [8, 16, 9, 15], [17, 22, 18, 23], [13, 19, 14, 18], [21, 13, 22, 12], [23, 16, 24, 17], [25, 7, 26, 28], [19, 27, 20, 26], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_84","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_85m3_1 # 11n_85m3_1 # 11n_85NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [13, 21, 14, 20], [28, 23, 7, 24], [25, 12, 26, 13], [14, 27, 15, 28], [22, 16, 23, 15], [19, 25, 20, 24], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_85","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_85m3_1 # m11n_85m3_1 # m11n_85NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [13, 20, 14, 21], [28, 24, 7, 23], [25, 13, 26, 12], [14, 28, 15, 27], [22, 15, 23, 16], [19, 24, 20, 25], [26, 21, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_85","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_86m3_1 # 11n_86m3_1 # 11n_86NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [13, 21, 14, 20], [23, 7, 24, 28], [25, 12, 26, 13], [27, 15, 28, 14], [15, 22, 16, 23], [19, 25, 20, 24], [21, 26, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_86","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_86m3_1 # m11n_86m3_1 # m11n_86NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [13, 20, 14, 21], [23, 28, 24, 7], [25, 13, 26, 12], [27, 14, 28, 15], [15, 23, 16, 22], [19, 24, 20, 25], [21, 27, 22, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_86","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_87m3_1 # 11n_87m3_1 # 11n_87NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 20, 27, 19], [20, 13, 21, 14], [12, 25, 13, 26], [24, 15, 25, 16], [14, 21, 15, 22], [23, 28, 24, 7], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_87","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_87m3_1 # m11n_87m3_1 # m11n_87NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [26, 19, 27, 20], [20, 14, 21, 13], [12, 26, 13, 25], [24, 16, 25, 15], [14, 22, 15, 21], [23, 7, 24, 28], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_87","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_88m3_1 # 11n_88m3_1 # 11n_88NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [22, 14, 23, 13], [25, 7, 26, 28], [19, 27, 20, 26], [27, 21, 28, 20], [24, 16, 25, 15], [12, 22, 13, 21], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_88","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_88m3_1 # m11n_88m3_1 # m11n_88NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [22, 13, 23, 14], [25, 28, 26, 7], [19, 26, 20, 27], [27, 20, 28, 21], [24, 15, 25, 16], [12, 21, 13, 22], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_88","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_89m3_1 # 11n_89m3_1 # 11n_89NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [13, 22, 14, 23], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [15, 24, 16, 25], [21, 12, 22, 13], [23, 14, 24, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_89","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_89m3_1 # m11n_89m3_1 # m11n_89NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [13, 23, 14, 22], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [15, 25, 16, 24], [21, 13, 22, 12], [23, 15, 24, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_89","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_90m3_1 # 11n_90m3_1 # 11n_90NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [24, 16, 25, 15], [25, 7, 26, 28], [19, 27, 20, 26], [27, 21, 28, 20], [12, 24, 13, 23], [22, 14, 23, 13], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_90","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_90m3_1 # m11n_90m3_1 # m11n_90NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [24, 15, 25, 16], [25, 28, 26, 7], [19, 26, 20, 27], [27, 20, 28, 21], [12, 23, 13, 24], [22, 13, 23, 14], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_90","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_91m3_1 # 11n_91m3_1 # 11n_91NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [15, 24, 16, 25], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [23, 12, 24, 13], [13, 22, 14, 23], [21, 14, 22, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_91","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_91m3_1 # m11n_91m3_1 # m11n_91NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [15, 25, 16, 24], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [23, 13, 24, 12], [13, 23, 14, 22], [21, 15, 22, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_91","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_92m3_1 # 11n_92m3_1 # 11n_92NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [13, 26, 14, 27], [23, 7, 24, 28], [19, 25, 20, 24], [27, 21, 28, 20], [15, 22, 16, 23], [21, 14, 22, 15], [25, 12, 26, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_92","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_92m3_1 # m11n_92m3_1 # m11n_92NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 11, 19, 12], [16, 10, 17, 9], [8, 18, 9, 17], [13, 27, 14, 26], [23, 28, 24, 7], [19, 24, 20, 25], [27, 20, 28, 21], [15, 23, 16, 22], [21, 15, 22, 14], [25, 13, 26, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_92","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_93m3_1 # 11n_93m3_1 # 11n_93NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [13, 19, 14, 18], [25, 15, 26, 14], [24, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [28, 22, 7, 21], [22, 28, 23, 27], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_93","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_93m3_1 # r11n_93m3_1 # r11n_93NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 9, 16, 10], [18, 26, 17, 27], [14, 18, 13, 19], [26, 14, 25, 15], [25, 19, 24, 20], [21, 11, 20, 12], [13, 23, 12, 24], [7, 21, 28, 22], [23, 27, 22, 28], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_93","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_93m3_1 # m11n_93m3_1 # m11n_93NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [13, 18, 14, 19], [25, 14, 26, 15], [24, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [28, 21, 7, 22], [22, 27, 23, 28], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_93","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_93m3_1 # mr11n_93m3_1 # mr11n_93NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 10, 16, 9], [18, 27, 17, 26], [14, 19, 13, 18], [26, 15, 25, 14], [25, 20, 24, 19], [21, 12, 20, 11], [13, 24, 12, 23], [7, 22, 28, 21], [23, 28, 22, 27], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_93","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_94m3_1 # 11n_94m3_1 # 11n_94NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [18, 13, 19, 14], [14, 25, 15, 26], [24, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [21, 28, 22, 7], [27, 22, 28, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_94","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_94m3_1 # m11n_94m3_1 # m11n_94NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [18, 14, 19, 13], [14, 26, 15, 25], [24, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [21, 7, 22, 28], [27, 23, 28, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_94","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_95m3_1 # 11n_95m3_1 # 11n_95NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [13, 19, 14, 18], [25, 15, 26, 14], [24, 20, 25, 19], [20, 12, 21, 11], [12, 24, 13, 23], [21, 28, 22, 7], [27, 22, 28, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_95","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_95m3_1 # m11n_95m3_1 # m11n_95NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [13, 18, 14, 19], [25, 14, 26, 15], [24, 19, 25, 20], [20, 11, 21, 12], [12, 23, 13, 24], [21, 7, 22, 28], [27, 23, 28, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_95","mirror":true,"reverse":false}]falsetruereversible[]