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 # m11n_172m3_1 # m11n_172m3_1 # m11n_172NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [11, 23, 12, 22], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [26, 15, 27, 16], [21, 11, 22, 10], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_172","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_172m3_1 # mr11n_172m3_1 # mr11n_172NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [12, 22, 11, 23], [7, 23, 28, 24], [25, 19, 24, 20], [21, 27, 20, 28], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [27, 16, 26, 15], [22, 10, 21, 11], [15, 26, 14, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_172","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_173m3_1 # 11n_173m3_1 # 11n_173NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 19, 25, 20], [20, 27, 21, 28], [18, 14, 19, 13], [9, 17, 10, 16], [17, 9, 18, 8], [26, 16, 27, 15], [10, 22, 11, 21], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_173","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_173m3_1 # m11n_173m3_1 # m11n_173NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [18, 13, 19, 14], [9, 16, 10, 17], [17, 8, 18, 9], [26, 15, 27, 16], [10, 21, 11, 22], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_173","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_174m3_1 # 11n_174m3_1 # 11n_174NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [20, 13, 21, 14], [9, 17, 10, 16], [26, 16, 27, 15], [18, 28, 19, 27], [14, 26, 15, 25], [17, 11, 18, 10], [24, 20, 25, 19], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_174","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_174m3_1 # r11n_174m3_1 # r11n_174NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [21, 14, 20, 13], [10, 16, 9, 17], [27, 15, 26, 16], [19, 27, 18, 28], [15, 25, 14, 26], [18, 10, 17, 11], [25, 19, 24, 20], [9, 21, 8, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_174","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_174m3_1 # m11n_174m3_1 # m11n_174NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [20, 14, 21, 13], [9, 16, 10, 17], [26, 15, 27, 16], [18, 27, 19, 28], [14, 25, 15, 26], [17, 10, 18, 11], [24, 19, 25, 20], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_174","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_174m3_1 # mr11n_174m3_1 # mr11n_174NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [21, 13, 20, 14], [10, 17, 9, 16], [27, 16, 26, 15], [19, 28, 18, 27], [15, 26, 14, 25], [18, 11, 17, 10], [25, 20, 24, 19], [9, 22, 8, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_174","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_175m3_1 # 11n_175m3_1 # 11n_175NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 17, 10, 16], [17, 24, 18, 25], [23, 18, 24, 19], [19, 9, 20, 8], [25, 11, 26, 10], [27, 15, 28, 14], [15, 27, 16, 26], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_175","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_175m3_1 # m11n_175m3_1 # m11n_175NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 16, 10, 17], [17, 25, 18, 24], [23, 19, 24, 18], [19, 8, 20, 9], [25, 10, 26, 11], [27, 14, 28, 15], [15, 26, 16, 27], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_175","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_176m3_1 # 11n_176m3_1 # 11n_176NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [11, 22, 12, 23], [28, 23, 7, 24], [24, 13, 25, 14], [16, 9, 17, 10], [8, 17, 9, 18], [18, 26, 19, 25], [26, 16, 27, 15], [20, 27, 21, 28], [14, 19, 15, 20], [21, 10, 22, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_176","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_176m3_1 # r11n_176m3_1 # r11n_176NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [12, 23, 11, 22], [7, 24, 28, 23], [25, 14, 24, 13], [17, 10, 16, 9], [9, 18, 8, 17], [19, 25, 18, 26], [27, 15, 26, 16], [21, 28, 20, 27], [15, 20, 14, 19], [22, 11, 21, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_176","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_176m3_1 # m11n_176m3_1 # m11n_176NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [11, 23, 12, 22], [28, 24, 7, 23], [24, 14, 25, 13], [16, 10, 17, 9], [8, 18, 9, 17], [18, 25, 19, 26], [26, 15, 27, 16], [20, 28, 21, 27], [14, 20, 15, 19], [21, 11, 22, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_176","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_176m3_1 # mr11n_176m3_1 # mr11n_176NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [12, 22, 11, 23], [7, 23, 28, 24], [25, 13, 24, 14], [17, 9, 16, 10], [9, 17, 8, 18], [19, 26, 18, 25], [27, 16, 26, 15], [21, 27, 20, 28], [15, 19, 14, 20], [22, 10, 21, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_176","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_177m3_1 # 11n_177m3_1 # 11n_177NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 13, 25, 14], [9, 17, 10, 16], [17, 9, 18, 8], [18, 26, 19, 25], [26, 16, 27, 15], [20, 27, 21, 28], [14, 19, 15, 20], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_177","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_177m3_1 # r11n_177m3_1 # r11n_177NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [25, 14, 24, 13], [10, 16, 9, 17], [18, 8, 17, 9], [19, 25, 18, 26], [27, 15, 26, 16], [21, 28, 20, 27], [15, 20, 14, 19], [11, 21, 10, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_177","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_177m3_1 # m11n_177m3_1 # m11n_177NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 14, 25, 13], [9, 16, 10, 17], [17, 8, 18, 9], [18, 25, 19, 26], [26, 15, 27, 16], [20, 28, 21, 27], [14, 20, 15, 19], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_177","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_177m3_1 # mr11n_177m3_1 # mr11n_177NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [25, 13, 24, 14], [10, 17, 9, 16], [18, 9, 17, 8], [19, 26, 18, 25], [27, 16, 26, 15], [21, 27, 20, 28], [15, 19, 14, 20], [11, 22, 10, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_177","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_178m3_1 # 11n_178m3_1 # 11n_178NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 13, 25, 14], [9, 17, 10, 16], [18, 28, 19, 27], [14, 20, 15, 19], [26, 16, 27, 15], [17, 11, 18, 10], [20, 25, 21, 26], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_178","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_178m3_1 # m11n_178m3_1 # m11n_178NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 14, 25, 13], [9, 16, 10, 17], [18, 27, 19, 28], [14, 19, 15, 20], [26, 15, 27, 16], [17, 10, 18, 11], [20, 26, 21, 25], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_178","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_179m3_1 # 11n_179m3_1 # 11n_179NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [9, 16, 10, 17], [20, 14, 21, 13], [17, 25, 18, 24], [28, 22, 7, 21], [22, 28, 23, 27], [23, 19, 24, 18], [14, 20, 15, 19], [11, 26, 12, 27], [15, 8, 16, 9], [25, 10, 26, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_179","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_179m3_1 # m11n_179m3_1 # m11n_179NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [9, 17, 10, 16], [20, 13, 21, 14], [17, 24, 18, 25], [28, 21, 7, 22], [22, 27, 23, 28], [23, 18, 24, 19], [14, 19, 15, 20], [11, 27, 12, 26], [15, 9, 16, 8], [25, 11, 26, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_179","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_180m3_1 # 11n_180m3_1 # 11n_180NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 19, 10, 18], [19, 9, 20, 8], [23, 11, 24, 10], [27, 15, 28, 14], [17, 27, 18, 26], [15, 25, 16, 24], [25, 17, 26, 16], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_180","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_180m3_1 # m11n_180m3_1 # m11n_180NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 18, 10, 19], [19, 8, 20, 9], [23, 10, 24, 11], [27, 14, 28, 15], [17, 26, 18, 27], [15, 24, 16, 25], [25, 16, 26, 17], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_180","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_181m3_1 # 11n_181m3_1 # 11n_181NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 19, 10, 18], [19, 9, 20, 8], [23, 11, 24, 10], [27, 15, 28, 14], [15, 27, 16, 26], [17, 25, 18, 24], [25, 17, 26, 16], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_181","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_181m3_1 # m11n_181m3_1 # m11n_181NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 18, 10, 19], [19, 8, 20, 9], [23, 10, 24, 11], [27, 14, 28, 15], [15, 26, 16, 27], [17, 24, 18, 25], [25, 16, 26, 17], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_181","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_182m3_1 # 11n_182m3_1 # 11n_182NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [24, 14, 25, 13], [8, 23, 9, 24], [17, 10, 18, 11], [9, 18, 10, 19], [22, 11, 23, 12], [26, 19, 27, 20], [16, 27, 17, 28], [20, 16, 21, 15], [28, 22, 7, 21], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_182","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_182m3_1 # m11n_182m3_1 # m11n_182NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [24, 13, 25, 14], [8, 24, 9, 23], [17, 11, 18, 10], [9, 19, 10, 18], [22, 12, 23, 11], [26, 20, 27, 19], [16, 28, 17, 27], [20, 15, 21, 16], [28, 21, 7, 22], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_182","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_183m3_1 # 11n_183m3_1 # 11n_183NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [16, 12, 17, 11], [9, 21, 10, 20], [28, 17, 7, 18], [22, 28, 23, 27], [26, 20, 27, 19], [13, 25, 14, 24], [25, 15, 26, 14], [21, 11, 22, 10], [18, 24, 19, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_183","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_183m3_1 # m11n_183m3_1 # m11n_183NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [16, 11, 17, 12], [9, 20, 10, 21], [28, 18, 7, 17], [22, 27, 23, 28], [26, 19, 27, 20], [13, 24, 14, 25], [25, 14, 26, 15], [21, 10, 22, 11], [18, 23, 19, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_183","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_184m3_1 # 11n_184m3_1 # 11n_184NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [16, 12, 17, 11], [9, 21, 10, 20], [28, 17, 7, 18], [22, 28, 23, 27], [26, 20, 27, 19], [24, 13, 25, 14], [14, 25, 15, 26], [21, 11, 22, 10], [18, 24, 19, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_184","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_184m3_1 # r11n_184m3_1 # r11n_184NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 12, 8], [17, 11, 16, 12], [10, 20, 9, 21], [7, 18, 28, 17], [23, 27, 22, 28], [27, 19, 26, 20], [25, 14, 24, 13], [15, 26, 14, 25], [22, 10, 21, 11], [19, 23, 18, 24], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_184","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_184m3_1 # m11n_184m3_1 # m11n_184NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [16, 11, 17, 12], [9, 20, 10, 21], [28, 18, 7, 17], [22, 27, 23, 28], [26, 19, 27, 20], [24, 14, 25, 13], [14, 26, 15, 25], [21, 10, 22, 11], [18, 23, 19, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_184","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_184m3_1 # mr11n_184m3_1 # mr11n_184NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 12, 7], [17, 12, 16, 11], [10, 21, 9, 20], [7, 17, 28, 18], [23, 28, 22, 27], [27, 20, 26, 19], [25, 13, 24, 14], [15, 25, 14, 26], [22, 11, 21, 10], [19, 24, 18, 23], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_184","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_185m3_1 # 11n_185m3_1 # 11n_185NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [8, 19, 9, 20], [18, 24, 19, 23], [24, 10, 25, 9], [10, 18, 11, 17], [15, 27, 16, 26], [25, 15, 26, 14], [27, 17, 28, 16], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_185","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_185m3_1 # m11n_185m3_1 # m11n_185NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [8, 20, 9, 19], [18, 23, 19, 24], [24, 9, 25, 10], [10, 17, 11, 18], [15, 26, 16, 27], [25, 14, 26, 15], [27, 16, 28, 17], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_185","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 4_1 # 6_14_1 # 4_1 # 6_14_1 # 4_1 # 6_1None14truecomposite1[[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 23, 18, 22], [19, 26, 20, 27], [21, 19, 22, 18], [23, 17, 24, 28], [25, 20, 26, 21], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # 4_1 # m6_14_1 # 4_1 # m6_14_1 # 4_1 # m6_1None14truecomposite1[[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 22, 18, 23], [19, 27, 20, 26], [21, 18, 22, 19], [23, 28, 24, 17], [25, 21, 26, 20], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 4_1 # 6_24_1 # 4_1 # 6_24_1 # 4_1 # 6_2None14truecomposite1[[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 24, 18, 25], [19, 27, 20, 26], [21, 17, 22, 28], [23, 18, 24, 19], [25, 23, 26, 22], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # 4_1 # m6_24_1 # 4_1 # m6_24_1 # 4_1 # m6_2None14truecomposite1[[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 25, 18, 24], [19, 26, 20, 27], [21, 28, 22, 17], [23, 19, 24, 18], [25, 22, 26, 23], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 4_1 # 6_34_1 # 4_1 # 6_34_1 # 4_1 # 6_3None14truecomposite1[[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 18, 21, 17], [24, 20, 25, 19], [28, 25, 17, 26], [26, 21, 27, 22], [22, 27, 23, 28], [18, 24, 19, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 5_1 # 5_14_1 # 5_1 # 5_14_1 # 5_1 # 5_1None14truecomposite1[[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 18, 13, 17], [14, 10, 15, 9], [16, 12, 17, 11], [18, 14, 9, 13], [10, 26, 21, 25], [22, 28, 23, 27], [24, 20, 25, 19], [26, 22, 27, 21], [28, 24, 19, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # 5_1 # m5_14_1 # 5_1 # m5_14_1 # 5_1 # m5_1None14truecomposite1[[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 18, 13, 17], [14, 10, 15, 9], [16, 12, 17, 11], [18, 14, 9, 13], [10, 25, 21, 26], [22, 27, 23, 28], [24, 19, 25, 20], [26, 21, 27, 22], [28, 23, 19, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]truetruefully amphicheiral[]
4_1 # 5_1 # 5_24_1 # 5_1 # 5_24_1 # 5_1 # 5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 18, 13, 17], [14, 10, 15, 9], [16, 12, 17, 11], [18, 14, 9, 13], [10, 23, 20, 22], [21, 27, 22, 26], [23, 19, 24, 28], [25, 21, 26, 20], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # 5_1 # m5_24_1 # 5_1 # m5_24_1 # 5_1 # m5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 18, 13, 17], [14, 10, 15, 9], [16, 12, 17, 11], [18, 14, 9, 13], [10, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # m5_1 # m5_14_1 # m5_1 # m5_14_1 # m5_1 # m5_1None14truecomposite1[[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 17, 13, 18], [14, 9, 15, 10], [16, 11, 17, 12], [18, 13, 9, 14], [10, 25, 21, 26], [22, 27, 23, 28], [24, 19, 25, 20], [26, 21, 27, 22], [28, 23, 19, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 5_2 # m5_14_1 # 5_2 # m5_14_1 # 5_2 # m5_1None14truecomposite1[[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [13, 9, 14, 18], [15, 11, 16, 10], [17, 15, 18, 14], [9, 25, 21, 26], [22, 27, 23, 28], [24, 19, 25, 20], [26, 21, 27, 22], [28, 23, 19, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # m5_1 # m5_24_1 # m5_1 # m5_24_1 # m5_1 # m5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 17, 13, 18], [14, 9, 15, 10], [16, 11, 17, 12], [18, 13, 9, 14], [10, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 5_2 # 5_24_1 # 5_2 # 5_24_1 # 5_2 # 5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [13, 9, 14, 18], [15, 11, 16, 10], [17, 15, 18, 14], [9, 23, 20, 22], [21, 27, 22, 26], [23, 19, 24, 28], [25, 21, 26, 20], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # 5_2 # m5_24_1 # 5_2 # m5_24_1 # 5_2 # m5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [13, 9, 14, 18], [15, 11, 16, 10], [17, 15, 18, 14], [9, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]truetruefully amphicheiral[]
4_1 # m5_2 # m5_24_1 # m5_2 # m5_24_1 # m5_2 # m5_2None14truecomposite1[[19, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 16, 12, 17], [13, 18, 14, 9], [15, 10, 16, 11], [17, 14, 18, 15], [9, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_14_1 # 10_14_1 # 10_1None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 28, 13, 27], [14, 26, 15, 25], [16, 24, 17, 23], [18, 22, 19, 21], [20, 9, 21, 10], [22, 18, 23, 17], [24, 16, 25, 15], [26, 14, 27, 13], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_1","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_14_1 # m10_14_1 # m10_1None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 27, 13, 28], [14, 25, 15, 26], [16, 23, 17, 24], [18, 21, 19, 22], [20, 10, 21, 9], [22, 17, 23, 18], [24, 15, 25, 16], [26, 13, 27, 14], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_1","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_24_1 # 10_24_1 # 10_2None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 22, 12, 23], [13, 11, 14, 10], [15, 25, 16, 24], [17, 27, 18, 26], [19, 9, 20, 28], [21, 12, 22, 13], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_2","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_24_1 # m10_24_1 # m10_2None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 23, 12, 22], [13, 10, 14, 11], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 9], [21, 13, 22, 12], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_2","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_34_1 # 10_34_1 # 10_3None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 25, 13, 26], [14, 23, 15, 24], [16, 12, 17, 11], [18, 10, 19, 9], [20, 28, 21, 27], [22, 15, 23, 16], [24, 13, 25, 14], [26, 22, 27, 21], [28, 20, 9, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_3","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_34_1 # m10_34_1 # m10_3None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 26, 13, 25], [14, 24, 15, 23], [16, 11, 17, 12], [18, 9, 19, 10], [20, 27, 21, 28], [22, 16, 23, 15], [24, 14, 25, 13], [26, 21, 27, 22], [28, 19, 9, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_3","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_44_1 # 10_44_1 # 10_4None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 19, 13, 20], [14, 28, 15, 27], [16, 26, 17, 25], [18, 24, 19, 23], [20, 9, 21, 10], [22, 11, 23, 12], [24, 18, 25, 17], [26, 16, 27, 15], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_4","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_44_1 # m10_44_1 # m10_4None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 20, 13, 19], [14, 27, 15, 28], [16, 25, 17, 26], [18, 23, 19, 24], [20, 10, 21, 9], [22, 12, 23, 11], [24, 17, 25, 18], [26, 15, 27, 16], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_4","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_54_1 # 10_54_1 # 10_5None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 25, 13, 26], [14, 24, 15, 23], [16, 14, 17, 13], [18, 27, 19, 28], [20, 9, 21, 10], [22, 11, 23, 12], [24, 16, 25, 15], [26, 17, 27, 18], [28, 19, 9, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_5","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_54_1 # m10_54_1 # m10_5None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 26, 13, 25], [14, 23, 15, 24], [16, 13, 17, 14], [18, 28, 19, 27], [20, 10, 21, 9], [22, 12, 23, 11], [24, 15, 25, 16], [26, 18, 27, 17], [28, 20, 9, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_5","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_64_1 # 10_64_1 # 10_6None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 24, 13, 23], [14, 26, 15, 25], [16, 28, 17, 27], [18, 22, 19, 21], [20, 9, 21, 10], [22, 18, 23, 17], [24, 14, 25, 13], [26, 16, 27, 15], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_6","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_64_1 # m10_64_1 # m10_6None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 23, 13, 24], [14, 25, 15, 26], [16, 27, 17, 28], [18, 21, 19, 22], [20, 10, 21, 9], [22, 17, 23, 18], [24, 13, 25, 14], [26, 15, 27, 16], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_6","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_74_1 # 10_74_1 # 10_7None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 23, 12, 22], [13, 27, 14, 26], [15, 25, 16, 24], [17, 9, 18, 28], [19, 10, 20, 11], [21, 19, 22, 18], [23, 17, 24, 16], [25, 15, 26, 14], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_7","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_74_1 # m10_74_1 # m10_7None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 22, 12, 23], [13, 26, 14, 27], [15, 24, 16, 25], [17, 28, 18, 9], [19, 11, 20, 10], [21, 18, 22, 19], [23, 16, 24, 17], [25, 14, 26, 15], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_7","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_84_1 # 10_84_1 # 10_8None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 18, 12, 19], [13, 23, 14, 22], [15, 25, 16, 24], [17, 27, 18, 26], [19, 10, 20, 11], [21, 28, 22, 9], [23, 15, 24, 14], [25, 17, 26, 16], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_8","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_84_1 # m10_84_1 # m10_8None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 19, 12, 18], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 27], [19, 11, 20, 10], [21, 9, 22, 28], [23, 14, 24, 15], [25, 16, 26, 17], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_8","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_94_1 # 10_94_1 # 10_9None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 24, 12, 25], [13, 22, 14, 23], [15, 11, 16, 10], [17, 27, 18, 26], [19, 9, 20, 28], [21, 12, 22, 13], [23, 14, 24, 15], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_9","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_94_1 # m10_94_1 # m10_9None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 25, 12, 24], [13, 23, 14, 22], [15, 10, 16, 11], [17, 26, 18, 27], [19, 28, 20, 9], [21, 13, 22, 12], [23, 15, 24, 14], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_9","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_104_1 # 10_104_1 # 10_10None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 26, 12, 27], [13, 24, 14, 25], [15, 22, 16, 23], [17, 21, 18, 20], [19, 11, 20, 10], [21, 28, 22, 9], [23, 14, 24, 15], [25, 12, 26, 13], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_10","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_104_1 # m10_104_1 # m10_10None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 27, 12, 26], [13, 25, 14, 24], [15, 23, 16, 22], [17, 20, 18, 21], [19, 10, 20, 11], [21, 9, 22, 28], [23, 15, 24, 14], [25, 13, 26, 12], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_10","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_114_1 # 10_114_1 # 10_11None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 21, 13, 22], [14, 10, 15, 9], [16, 26, 17, 25], [18, 28, 19, 27], [20, 13, 21, 14], [22, 11, 23, 12], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 9, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_11","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_114_1 # m10_114_1 # m10_11None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 22, 13, 21], [14, 9, 15, 10], [16, 25, 17, 26], [18, 27, 19, 28], [20, 14, 21, 13], [22, 12, 23, 11], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 9, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_11","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_124_1 # 10_124_1 # 10_12None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 21, 15, 22], [16, 27, 17, 28], [18, 9, 19, 10], [20, 15, 21, 16], [22, 13, 23, 14], [24, 12, 25, 11], [26, 24, 27, 23], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_12","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_124_1 # m10_124_1 # m10_12None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 22, 15, 21], [16, 28, 17, 27], [18, 10, 19, 9], [20, 16, 21, 15], [22, 14, 23, 13], [24, 11, 25, 12], [26, 23, 27, 24], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_12","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_134_1 # 10_134_1 # 10_13None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 11, 26], [12, 16, 13, 15], [14, 21, 15, 22], [16, 10, 17, 9], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 11, 25, 12], [26, 20, 27, 19], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_13","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_134_1 # m10_134_1 # m10_13None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 11, 25], [12, 15, 13, 16], [14, 22, 15, 21], [16, 9, 17, 10], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 12, 25, 11], [26, 19, 27, 20], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_13","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_144_1 # 10_144_1 # 10_14None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 19, 14, 18], [15, 27, 16, 26], [17, 9, 18, 28], [19, 13, 20, 12], [21, 10, 22, 11], [23, 21, 24, 20], [25, 15, 26, 14], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_14","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_144_1 # m10_144_1 # m10_14None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 18, 14, 19], [15, 26, 16, 27], [17, 28, 18, 9], [19, 12, 20, 13], [21, 11, 22, 10], [23, 20, 24, 21], [25, 14, 26, 15], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_14","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_154_1 # 10_154_1 # 10_15None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 11, 13], [12, 24, 13, 23], [14, 10, 15, 9], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 12, 23, 11], [24, 22, 25, 21], [26, 17, 27, 18], [28, 19, 9, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_15","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_154_1 # m10_154_1 # m10_15None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 11, 14], [12, 23, 13, 24], [14, 9, 15, 10], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 11, 23, 12], [24, 21, 25, 22], [26, 18, 27, 17], [28, 20, 9, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_15","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_164_1 # 10_164_1 # 10_16None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 23, 12, 22], [13, 25, 14, 24], [15, 27, 16, 26], [17, 10, 18, 11], [19, 28, 20, 9], [21, 17, 22, 16], [23, 15, 24, 14], [25, 13, 26, 12], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_16","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_164_1 # m10_164_1 # m10_16None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 22, 12, 23], [13, 24, 14, 25], [15, 26, 16, 27], [17, 11, 18, 10], [19, 9, 20, 28], [21, 16, 22, 17], [23, 14, 24, 15], [25, 12, 26, 13], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_16","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_174_1 # 10_174_1 # 10_17None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [20, 12, 21, 11], [28, 23, 9, 24], [24, 15, 25, 16], [26, 17, 27, 18], [16, 25, 17, 26], [18, 27, 19, 28], [22, 14, 23, 13], [10, 20, 11, 19], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_17","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_184_1 # 10_184_1 # 10_18None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 18, 13, 17], [14, 25, 15, 26], [16, 23, 17, 24], [18, 28, 19, 27], [20, 10, 21, 9], [22, 20, 23, 19], [24, 15, 25, 16], [26, 13, 27, 14], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_18","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_184_1 # m10_184_1 # m10_18None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 17, 13, 18], [14, 26, 15, 25], [16, 24, 17, 23], [18, 27, 19, 28], [20, 9, 21, 10], [22, 19, 23, 20], [24, 16, 25, 15], [26, 14, 27, 13], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_18","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_194_1 # 10_194_1 # 10_19None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 23, 12, 22], [13, 18, 14, 19], [15, 24, 16, 25], [17, 26, 18, 27], [19, 9, 20, 28], [21, 11, 22, 10], [23, 16, 24, 17], [25, 14, 26, 15], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_19","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_194_1 # m10_194_1 # m10_19None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 22, 12, 23], [13, 19, 14, 18], [15, 25, 16, 24], [17, 27, 18, 26], [19, 28, 20, 9], [21, 10, 22, 11], [23, 17, 24, 16], [25, 15, 26, 14], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_19","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_204_1 # 10_204_1 # 10_20None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 23, 13, 24], [14, 12, 15, 11], [16, 10, 17, 9], [18, 26, 19, 25], [20, 28, 21, 27], [22, 13, 23, 14], [24, 22, 25, 21], [26, 20, 27, 19], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_20","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_204_1 # m10_204_1 # m10_20None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 24, 13, 23], [14, 11, 15, 12], [16, 9, 17, 10], [18, 25, 19, 26], [20, 27, 21, 28], [22, 14, 23, 13], [24, 21, 25, 22], [26, 19, 27, 20], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_20","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_214_1 # 10_214_1 # 10_21None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 21, 12, 20], [13, 25, 14, 24], [15, 19, 16, 18], [17, 26, 18, 27], [19, 9, 20, 28], [21, 11, 22, 10], [23, 13, 24, 12], [25, 15, 26, 14], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_21","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_214_1 # m10_214_1 # m10_21None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 20, 12, 21], [13, 24, 14, 25], [15, 18, 16, 19], [17, 27, 18, 26], [19, 28, 20, 9], [21, 10, 22, 11], [23, 12, 24, 13], [25, 14, 26, 15], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_21","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_224_1 # 10_224_1 # 10_22None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 24, 15, 23], [16, 22, 17, 21], [18, 9, 19, 10], [20, 27, 21, 28], [22, 14, 23, 13], [24, 16, 25, 15], [26, 12, 27, 11], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_22","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_224_1 # m10_224_1 # m10_22None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 23, 15, 24], [16, 21, 17, 22], [18, 10, 19, 9], [20, 28, 21, 27], [22, 13, 23, 14], [24, 15, 25, 16], [26, 11, 27, 12], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_22","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_234_1 # 10_234_1 # 10_23None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 19, 13, 20], [14, 26, 15, 25], [16, 27, 17, 28], [18, 9, 19, 10], [20, 11, 21, 12], [22, 15, 23, 16], [24, 14, 25, 13], [26, 24, 27, 23], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_23","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_234_1 # m10_234_1 # m10_23None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 20, 13, 19], [14, 25, 15, 26], [16, 28, 17, 27], [18, 10, 19, 9], [20, 12, 21, 11], [22, 16, 23, 15], [24, 13, 25, 14], [26, 23, 27, 24], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_23","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_244_1 # 10_244_1 # 10_24None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 18, 13, 17], [14, 25, 15, 26], [16, 14, 17, 13], [18, 12, 19, 11], [20, 28, 21, 27], [22, 10, 23, 9], [24, 15, 25, 16], [26, 20, 27, 19], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_24","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_244_1 # m10_244_1 # m10_24None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 17, 13, 18], [14, 26, 15, 25], [16, 13, 17, 14], [18, 11, 19, 12], [20, 27, 21, 28], [22, 9, 23, 10], [24, 16, 25, 15], [26, 19, 27, 20], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_24","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_254_1 # 10_254_1 # 10_25None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 23, 12, 22], [13, 21, 14, 20], [15, 26, 16, 27], [17, 9, 18, 28], [19, 13, 20, 12], [21, 15, 22, 14], [23, 11, 24, 10], [25, 16, 26, 17], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_25","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_254_1 # m10_254_1 # m10_25None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 22, 12, 23], [13, 20, 14, 21], [15, 27, 16, 26], [17, 28, 18, 9], [19, 12, 20, 13], [21, 14, 22, 15], [23, 10, 24, 11], [25, 17, 26, 16], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_25","mirror":true,"reverse":false}]falsetruereversible[]