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_22m3_1 # m11n_22m3_1 # m11n_22NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [24, 18, 25, 17], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [16, 24, 17, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_22","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_22m3_1 # mr11n_22m3_1 # mr11n_22NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [12, 19, 11, 18], [20, 13, 19, 12], [25, 17, 24, 18], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [17, 23, 16, 24], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_22","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_23m3_1 # 11n_23m3_1 # 11n_23NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [17, 25, 18, 24], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 17, 24, 16], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_23","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_23m3_1 # r11n_23m3_1 # r11n_23NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [12, 18, 11, 19], [20, 12, 19, 13], [18, 24, 17, 25], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 16, 23, 17], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_23","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_23m3_1 # m11n_23m3_1 # m11n_23NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [17, 24, 18, 25], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 16, 24, 17], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_23","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_23m3_1 # mr11n_23m3_1 # mr11n_23NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [12, 19, 11, 18], [20, 13, 19, 12], [18, 25, 17, 24], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 17, 23, 16], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_23","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_24m3_1 # 11n_24m3_1 # 11n_24NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [18, 11, 19, 12], [12, 19, 13, 20], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_24","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_24m3_1 # r11n_24m3_1 # r11n_24NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [19, 12, 18, 11], [13, 20, 12, 19], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_24","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_24m3_1 # m11n_24m3_1 # m11n_24NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [18, 12, 19, 11], [12, 20, 13, 19], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_24","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_24m3_1 # mr11n_24m3_1 # mr11n_24NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [19, 11, 18, 12], [13, 19, 12, 20], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_24","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_25m3_1 # 11n_25m3_1 # 11n_25NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_25","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_25m3_1 # r11n_25m3_1 # r11n_25NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [19, 12, 18, 11], [13, 20, 12, 19], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_25","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_25m3_1 # m11n_25m3_1 # m11n_25NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_25","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_25m3_1 # mr11n_25m3_1 # mr11n_25NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [19, 11, 18, 12], [13, 19, 12, 20], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_25","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_26m3_1 # 11n_26m3_1 # 11n_26NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [26, 21, 27, 22], [24, 18, 25, 17], [16, 26, 17, 25], [28, 23, 7, 24], [22, 27, 23, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_26","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_26m3_1 # r11n_26m3_1 # r11n_26NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [12, 18, 11, 19], [20, 12, 19, 13], [27, 22, 26, 21], [25, 17, 24, 18], [17, 25, 16, 26], [7, 24, 28, 23], [23, 28, 22, 27], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_26","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_26m3_1 # m11n_26m3_1 # m11n_26NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [26, 22, 27, 21], [24, 17, 25, 18], [16, 25, 17, 26], [28, 24, 7, 23], [22, 28, 23, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_26","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_26m3_1 # mr11n_26m3_1 # mr11n_26NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [12, 19, 11, 18], [20, 13, 19, 12], [27, 21, 26, 22], [25, 18, 24, 17], [17, 26, 16, 25], [7, 23, 28, 24], [23, 27, 22, 28], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_26","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_27m3_1 # 11n_27m3_1 # 11n_27NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [21, 27, 22, 26], [17, 24, 18, 25], [25, 16, 26, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_27","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_27m3_1 # r11n_27m3_1 # r11n_27NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [12, 18, 11, 19], [20, 12, 19, 13], [22, 26, 21, 27], [18, 25, 17, 24], [26, 17, 25, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_27","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_27m3_1 # m11n_27m3_1 # m11n_27NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [21, 26, 22, 27], [17, 25, 18, 24], [25, 17, 26, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_27","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_27m3_1 # mr11n_27m3_1 # mr11n_27NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [12, 19, 11, 18], [20, 13, 19, 12], [22, 27, 21, 26], [18, 24, 17, 25], [26, 16, 25, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_27","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_28m3_1 # 11n_28m3_1 # 11n_28NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [21, 7, 22, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_28","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_28m3_1 # m11n_28m3_1 # m11n_28NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [21, 28, 22, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_28","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_29m3_1 # 11n_29m3_1 # 11n_29NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [26, 23, 27, 24], [24, 18, 25, 17], [16, 26, 17, 25], [28, 21, 7, 22], [22, 27, 23, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_29","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_29m3_1 # m11n_29m3_1 # m11n_29NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [11, 18, 12, 19], [19, 12, 20, 13], [26, 24, 27, 23], [24, 17, 25, 18], [16, 25, 17, 26], [28, 22, 7, 21], [22, 28, 23, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_29","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_30m3_1 # 11n_30m3_1 # 11n_30NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [11, 19, 12, 18], [19, 13, 20, 12], [23, 27, 24, 26], [17, 24, 18, 25], [25, 16, 26, 17], [21, 7, 22, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_30","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_30m3_1 # m11n_30m3_1 # m11n_30NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [11, 18, 12, 19], [19, 12, 20, 13], [23, 26, 24, 27], [17, 25, 18, 24], [25, 17, 26, 16], [21, 28, 22, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_30","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_31m3_1 # 11n_31m3_1 # 11n_31NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [15, 23, 16, 22], [19, 26, 20, 27], [23, 7, 24, 28], [27, 25, 28, 24], [25, 20, 26, 21], [21, 17, 22, 16], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_31","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_31m3_1 # r11n_31m3_1 # r11n_31NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [19, 11, 18, 12], [16, 22, 15, 23], [20, 27, 19, 26], [24, 28, 23, 7], [28, 24, 27, 25], [26, 21, 25, 20], [22, 16, 21, 17], [13, 17, 12, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_31","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_31m3_1 # m11n_31m3_1 # m11n_31NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [15, 22, 16, 23], [19, 27, 20, 26], [23, 28, 24, 7], [27, 24, 28, 25], [25, 21, 26, 20], [21, 16, 22, 17], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_31","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_31m3_1 # mr11n_31m3_1 # mr11n_31NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [19, 12, 18, 11], [16, 23, 15, 22], [20, 26, 19, 27], [24, 7, 23, 28], [28, 25, 27, 24], [26, 20, 25, 21], [22, 17, 21, 16], [13, 18, 12, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_31","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_32m3_1 # 11n_32m3_1 # 11n_32NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [22, 15, 23, 16], [26, 20, 27, 19], [28, 23, 7, 24], [24, 27, 25, 28], [20, 26, 21, 25], [16, 21, 17, 22], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_32","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_32m3_1 # r11n_32m3_1 # r11n_32NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [23, 16, 22, 15], [27, 19, 26, 20], [7, 24, 28, 23], [25, 28, 24, 27], [21, 25, 20, 26], [17, 22, 16, 21], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_32","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_32m3_1 # m11n_32m3_1 # m11n_32NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [22, 16, 23, 15], [26, 19, 27, 20], [28, 24, 7, 23], [24, 28, 25, 27], [20, 25, 21, 26], [16, 22, 17, 21], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_32","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_32m3_1 # mr11n_32m3_1 # mr11n_32NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [12, 18, 11, 19], [23, 15, 22, 16], [27, 20, 26, 19], [7, 23, 28, 24], [25, 27, 24, 28], [21, 26, 20, 25], [17, 21, 16, 22], [18, 12, 17, 13], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_32","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_33m3_1 # 11n_33m3_1 # 11n_33NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [15, 23, 16, 22], [19, 26, 20, 27], [23, 7, 24, 28], [27, 25, 28, 24], [25, 20, 26, 21], [21, 17, 22, 16], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_33","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_33m3_1 # r11n_33m3_1 # r11n_33NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [16, 22, 15, 23], [20, 27, 19, 26], [24, 28, 23, 7], [28, 24, 27, 25], [26, 21, 25, 20], [22, 16, 21, 17], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_33","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_33m3_1 # m11n_33m3_1 # m11n_33NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [15, 22, 16, 23], [19, 27, 20, 26], [23, 28, 24, 7], [27, 24, 28, 25], [25, 21, 26, 20], [21, 16, 22, 17], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_33","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_33m3_1 # mr11n_33m3_1 # mr11n_33NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [12, 18, 11, 19], [16, 23, 15, 22], [20, 26, 19, 27], [24, 7, 23, 28], [28, 25, 27, 24], [26, 20, 25, 21], [22, 17, 21, 16], [18, 12, 17, 13], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_33","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_34m3_1 # 11n_34m3_1 # 11n_34NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [23, 7, 24, 28], [18, 11, 19, 12], [12, 19, 13, 20], [17, 24, 18, 25], [25, 20, 26, 21], [15, 23, 16, 22], [21, 26, 22, 27], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_34","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_34m3_1 # r11n_34m3_1 # r11n_34NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [24, 28, 23, 7], [19, 12, 18, 11], [13, 20, 12, 19], [18, 25, 17, 24], [26, 21, 25, 20], [16, 22, 15, 23], [22, 27, 21, 26], [28, 17, 27, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_34","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_34m3_1 # m11n_34m3_1 # m11n_34NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [23, 28, 24, 7], [18, 12, 19, 11], [12, 20, 13, 19], [17, 25, 18, 24], [25, 21, 26, 20], [15, 22, 16, 23], [21, 27, 22, 26], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_34","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_34m3_1 # mr11n_34m3_1 # mr11n_34NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [24, 7, 23, 28], [19, 11, 18, 12], [13, 19, 12, 20], [18, 24, 17, 25], [26, 20, 25, 21], [16, 23, 15, 22], [22, 26, 21, 27], [28, 16, 27, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_34","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_35m3_1 # 11n_35m3_1 # 11n_35NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [28, 23, 7, 24], [11, 19, 12, 18], [19, 13, 20, 12], [24, 18, 25, 17], [20, 26, 21, 25], [22, 15, 23, 16], [26, 22, 27, 21], [16, 28, 17, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_35","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_35m3_1 # r11n_35m3_1 # r11n_35NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [7, 24, 28, 23], [12, 18, 11, 19], [20, 12, 19, 13], [25, 17, 24, 18], [21, 25, 20, 26], [23, 16, 22, 15], [27, 21, 26, 22], [17, 27, 16, 28], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_35","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_35m3_1 # m11n_35m3_1 # m11n_35NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [28, 24, 7, 23], [11, 18, 12, 19], [19, 12, 20, 13], [24, 17, 25, 18], [20, 25, 21, 26], [22, 16, 23, 15], [26, 21, 27, 22], [16, 27, 17, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_35","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_35m3_1 # mr11n_35m3_1 # mr11n_35NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [7, 23, 28, 24], [12, 19, 11, 18], [20, 13, 19, 12], [25, 18, 24, 17], [21, 26, 20, 25], [23, 15, 22, 16], [27, 22, 26, 21], [17, 28, 16, 27], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_35","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_36m3_1 # 11n_36m3_1 # 11n_36NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [23, 7, 24, 28], [11, 19, 12, 18], [19, 13, 20, 12], [17, 24, 18, 25], [25, 20, 26, 21], [15, 23, 16, 22], [21, 26, 22, 27], [27, 16, 28, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_36","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_36m3_1 # r11n_36m3_1 # r11n_36NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [24, 28, 23, 7], [12, 18, 11, 19], [20, 12, 19, 13], [18, 25, 17, 24], [26, 21, 25, 20], [16, 22, 15, 23], [22, 27, 21, 26], [28, 17, 27, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_36","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_36m3_1 # m11n_36m3_1 # m11n_36NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [23, 28, 24, 7], [11, 18, 12, 19], [19, 12, 20, 13], [17, 25, 18, 24], [25, 21, 26, 20], [15, 22, 16, 23], [21, 27, 22, 26], [27, 17, 28, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_36","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_36m3_1 # mr11n_36m3_1 # mr11n_36NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [24, 7, 23, 28], [12, 19, 11, 18], [20, 13, 19, 12], [18, 24, 17, 25], [26, 20, 25, 21], [16, 23, 15, 22], [22, 26, 21, 27], [28, 16, 27, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_36","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_37m3_1 # 11n_37m3_1 # 11n_37NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [15, 25, 16, 24], [19, 26, 20, 27], [21, 28, 22, 7], [27, 20, 28, 21], [25, 22, 26, 23], [23, 17, 24, 16], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_37","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_37m3_1 # r11n_37m3_1 # r11n_37NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [12, 19, 11, 18], [16, 24, 15, 25], [20, 27, 19, 26], [22, 7, 21, 28], [28, 21, 27, 20], [26, 23, 25, 22], [24, 16, 23, 17], [18, 13, 17, 12], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_37","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_37m3_1 # m11n_37m3_1 # m11n_37NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [15, 24, 16, 25], [19, 27, 20, 26], [21, 7, 22, 28], [27, 21, 28, 20], [25, 23, 26, 22], [23, 16, 24, 17], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_37","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_37m3_1 # mr11n_37m3_1 # mr11n_37NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [12, 18, 11, 19], [16, 25, 15, 24], [20, 26, 19, 27], [22, 28, 21, 7], [28, 20, 27, 21], [26, 22, 25, 23], [24, 17, 23, 16], [18, 12, 17, 13], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_37","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_38m3_1 # 11n_38m3_1 # 11n_38NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [11, 18, 12, 19], [15, 25, 16, 24], [19, 28, 20, 7], [21, 26, 22, 27], [25, 22, 26, 23], [27, 20, 28, 21], [23, 17, 24, 16], [17, 12, 18, 13], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_38","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_38m3_1 # m11n_38m3_1 # m11n_38NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [11, 19, 12, 18], [15, 24, 16, 25], [19, 7, 20, 28], [21, 27, 22, 26], [25, 23, 26, 22], [27, 21, 28, 20], [23, 16, 24, 17], [17, 13, 18, 12], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_38","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_39m3_1 # 11n_39m3_1 # 11n_39NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [17, 23, 18, 22], [18, 11, 19, 12], [12, 19, 13, 20], [23, 28, 24, 7], [15, 24, 16, 25], [27, 16, 28, 17], [21, 27, 22, 26], [25, 21, 26, 20], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_39","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_39m3_1 # r11n_39m3_1 # r11n_39NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [18, 22, 17, 23], [19, 12, 18, 11], [13, 20, 12, 19], [24, 7, 23, 28], [16, 25, 15, 24], [28, 17, 27, 16], [22, 26, 21, 27], [26, 20, 25, 21], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_39","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_39m3_1 # m11n_39m3_1 # m11n_39NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [17, 22, 18, 23], [18, 12, 19, 11], [12, 20, 13, 19], [23, 7, 24, 28], [15, 25, 16, 24], [27, 17, 28, 16], [21, 26, 22, 27], [25, 20, 26, 21], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_39","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_39m3_1 # mr11n_39m3_1 # mr11n_39NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [18, 23, 17, 22], [19, 11, 18, 12], [13, 19, 12, 20], [24, 28, 23, 7], [16, 24, 15, 25], [28, 16, 27, 17], [22, 27, 21, 26], [26, 21, 25, 20], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_39","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_40m3_1 # 11n_40m3_1 # 11n_40NoneNonefalsecomposite1[[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, 19, 12, 18], [19, 13, 20, 12], [28, 24, 7, 23], [24, 16, 25, 15], [16, 28, 17, 27], [26, 21, 27, 22], [20, 25, 21, 26], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_40","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_40m3_1 # r11n_40m3_1 # r11n_40NoneNonefalsecomposite1[[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, 18, 11, 19], [20, 12, 19, 13], [7, 23, 28, 24], [25, 15, 24, 16], [17, 27, 16, 28], [27, 22, 26, 21], [21, 26, 20, 25], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_40","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_40m3_1 # m11n_40m3_1 # m11n_40NoneNonefalsecomposite1[[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, 18, 12, 19], [19, 12, 20, 13], [28, 23, 7, 24], [24, 15, 25, 16], [16, 27, 17, 28], [26, 22, 27, 21], [20, 26, 21, 25], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_40","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_40m3_1 # mr11n_40m3_1 # mr11n_40NoneNonefalsecomposite1[[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, 19, 11, 18], [20, 13, 19, 12], [7, 24, 28, 23], [25, 16, 24, 15], [17, 28, 16, 27], [27, 21, 26, 22], [21, 25, 20, 26], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_40","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_41m3_1 # 11n_41m3_1 # 11n_41NoneNonefalsecomposite1[[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, 19, 12, 18], [19, 13, 20, 12], [23, 28, 24, 7], [15, 24, 16, 25], [27, 16, 28, 17], [21, 27, 22, 26], [25, 21, 26, 20], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_41","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_41m3_1 # r11n_41m3_1 # r11n_41NoneNonefalsecomposite1[[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, 18, 11, 19], [20, 12, 19, 13], [24, 7, 23, 28], [16, 25, 15, 24], [28, 17, 27, 16], [22, 26, 21, 27], [26, 20, 25, 21], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_41","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_41m3_1 # m11n_41m3_1 # m11n_41NoneNonefalsecomposite1[[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, 18, 12, 19], [19, 12, 20, 13], [23, 7, 24, 28], [15, 25, 16, 24], [27, 17, 28, 16], [21, 26, 22, 27], [25, 20, 26, 21], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_41","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_41m3_1 # mr11n_41m3_1 # mr11n_41NoneNonefalsecomposite1[[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, 19, 11, 18], [20, 13, 19, 12], [24, 28, 23, 7], [16, 24, 15, 25], [28, 16, 27, 17], [22, 27, 21, 26], [26, 21, 25, 20], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_41","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_42m3_1 # 11n_42m3_1 # 11n_42NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 24, 16, 25], [18, 11, 19, 12], [12, 19, 13, 20], [25, 21, 26, 20], [17, 27, 18, 26], [23, 28, 24, 7], [27, 22, 28, 23], [21, 16, 22, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_42","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_42m3_1 # r11n_42m3_1 # r11n_42NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 25, 15, 24], [19, 12, 18, 11], [13, 20, 12, 19], [26, 20, 25, 21], [18, 26, 17, 27], [24, 7, 23, 28], [28, 23, 27, 22], [22, 17, 21, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_42","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_42m3_1 # m11n_42m3_1 # m11n_42NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 25, 16, 24], [18, 12, 19, 11], [12, 20, 13, 19], [25, 20, 26, 21], [17, 26, 18, 27], [23, 7, 24, 28], [27, 23, 28, 22], [21, 17, 22, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_42","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_42m3_1 # mr11n_42m3_1 # mr11n_42NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 24, 15, 25], [19, 11, 18, 12], [13, 19, 12, 20], [26, 21, 25, 20], [18, 27, 17, 26], [24, 28, 23, 7], [28, 22, 27, 23], [22, 16, 21, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_42","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_43m3_1 # 11n_43m3_1 # 11n_43NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [24, 16, 25, 15], [11, 19, 12, 18], [19, 13, 20, 12], [20, 25, 21, 26], [26, 17, 27, 18], [28, 24, 7, 23], [22, 28, 23, 27], [16, 22, 17, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_43","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_43m3_1 # r11n_43m3_1 # r11n_43NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [25, 15, 24, 16], [12, 18, 11, 19], [20, 12, 19, 13], [21, 26, 20, 25], [27, 18, 26, 17], [7, 23, 28, 24], [23, 27, 22, 28], [17, 21, 16, 22], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_43","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_43m3_1 # m11n_43m3_1 # m11n_43NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [24, 15, 25, 16], [11, 18, 12, 19], [19, 12, 20, 13], [20, 26, 21, 25], [26, 18, 27, 17], [28, 23, 7, 24], [22, 27, 23, 28], [16, 21, 17, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_43","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_43m3_1 # mr11n_43m3_1 # mr11n_43NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [25, 16, 24, 15], [12, 19, 11, 18], [20, 13, 19, 12], [21, 25, 20, 26], [27, 17, 26, 18], [7, 24, 28, 23], [23, 28, 22, 27], [17, 22, 16, 21], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_43","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_44m3_1 # 11n_44m3_1 # 11n_44NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 24, 16, 25], [11, 19, 12, 18], [19, 13, 20, 12], [25, 21, 26, 20], [17, 27, 18, 26], [23, 28, 24, 7], [27, 22, 28, 23], [21, 16, 22, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_44","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_44m3_1 # r11n_44m3_1 # r11n_44NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 25, 15, 24], [12, 18, 11, 19], [20, 12, 19, 13], [26, 20, 25, 21], [18, 26, 17, 27], [24, 7, 23, 28], [28, 23, 27, 22], [22, 17, 21, 16], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_44","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_44m3_1 # m11n_44m3_1 # m11n_44NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 25, 16, 24], [11, 18, 12, 19], [19, 12, 20, 13], [25, 20, 26, 21], [17, 26, 18, 27], [23, 7, 24, 28], [27, 23, 28, 22], [21, 17, 22, 16], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_44","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_44m3_1 # mr11n_44m3_1 # mr11n_44NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 24, 15, 25], [12, 19, 11, 18], [20, 13, 19, 12], [26, 21, 25, 20], [18, 27, 17, 26], [24, 28, 23, 7], [28, 22, 27, 23], [22, 16, 21, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_44","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_45m3_1 # 11n_45m3_1 # 11n_45NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 27, 16, 26], [18, 11, 19, 12], [12, 19, 13, 20], [17, 24, 18, 25], [25, 20, 26, 21], [21, 16, 22, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_45","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_45m3_1 # m11n_45m3_1 # m11n_45NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 26, 16, 27], [18, 12, 19, 11], [12, 20, 13, 19], [17, 25, 18, 24], [25, 21, 26, 20], [21, 17, 22, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_45","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_46m3_1 # 11n_46m3_1 # 11n_46NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [26, 15, 27, 16], [11, 19, 12, 18], [19, 13, 20, 12], [24, 18, 25, 17], [20, 26, 21, 25], [16, 22, 17, 21], [28, 23, 7, 24], [22, 27, 23, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_46","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_46m3_1 # r11n_46m3_1 # r11n_46NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [27, 16, 26, 15], [12, 18, 11, 19], [20, 12, 19, 13], [25, 17, 24, 18], [21, 25, 20, 26], [17, 21, 16, 22], [7, 24, 28, 23], [23, 28, 22, 27], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_46","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_46m3_1 # m11n_46m3_1 # m11n_46NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [26, 16, 27, 15], [11, 18, 12, 19], [19, 12, 20, 13], [24, 17, 25, 18], [20, 25, 21, 26], [16, 21, 17, 22], [28, 24, 7, 23], [22, 28, 23, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_46","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_46m3_1 # mr11n_46m3_1 # mr11n_46NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [27, 15, 26, 16], [12, 19, 11, 18], [20, 13, 19, 12], [25, 18, 24, 17], [21, 26, 20, 25], [17, 22, 16, 21], [7, 23, 28, 24], [23, 27, 22, 28], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_46","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_47m3_1 # 11n_47m3_1 # 11n_47NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 27, 16, 26], [11, 19, 12, 18], [19, 13, 20, 12], [17, 24, 18, 25], [25, 20, 26, 21], [21, 16, 22, 17], [23, 7, 24, 28], [27, 23, 28, 22], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_47","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_47m3_1 # r11n_47m3_1 # r11n_47NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 26, 15, 27], [12, 18, 11, 19], [20, 12, 19, 13], [18, 25, 17, 24], [26, 21, 25, 20], [22, 17, 21, 16], [24, 28, 23, 7], [28, 22, 27, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_47","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_47m3_1 # m11n_47m3_1 # m11n_47NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 26, 16, 27], [11, 18, 12, 19], [19, 12, 20, 13], [17, 25, 18, 24], [25, 21, 26, 20], [21, 17, 22, 16], [23, 28, 24, 7], [27, 22, 28, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_47","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_47m3_1 # mr11n_47m3_1 # mr11n_47NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 27, 15, 26], [12, 19, 11, 18], [20, 13, 19, 12], [18, 24, 17, 25], [26, 20, 25, 21], [22, 16, 21, 17], [24, 7, 23, 28], [28, 23, 27, 22], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_47","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_48m3_1 # 11n_48m3_1 # 11n_48NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [19, 26, 20, 27], [14, 9, 15, 10], [8, 15, 9, 16], [13, 23, 14, 22], [21, 28, 22, 7], [23, 17, 24, 16], [11, 18, 12, 19], [17, 25, 18, 24], [25, 13, 26, 12], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_48","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_48m3_1 # m11n_48m3_1 # m11n_48NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [19, 27, 20, 26], [14, 10, 15, 9], [8, 16, 9, 15], [13, 22, 14, 23], [21, 7, 22, 28], [23, 16, 24, 17], [11, 19, 12, 18], [17, 24, 18, 25], [25, 12, 26, 13], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_48","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_49m3_1 # 11n_49m3_1 # 11n_49NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 26, 22, 27], [14, 9, 15, 10], [8, 15, 9, 16], [13, 23, 14, 22], [19, 28, 20, 7], [27, 20, 28, 21], [23, 17, 24, 16], [11, 18, 12, 19], [17, 25, 18, 24], [25, 13, 26, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_49","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_49m3_1 # m11n_49m3_1 # m11n_49NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 27, 22, 26], [14, 10, 15, 9], [8, 16, 9, 15], [13, 22, 14, 23], [19, 7, 20, 28], [27, 21, 28, 20], [23, 16, 24, 17], [11, 19, 12, 18], [17, 24, 18, 25], [25, 12, 26, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_49","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_50m3_1 # 11n_50m3_1 # 11n_50NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [11, 18, 12, 19], [14, 9, 15, 10], [8, 15, 9, 16], [17, 22, 18, 23], [23, 16, 24, 17], [13, 24, 14, 25], [25, 7, 26, 28], [19, 27, 20, 26], [27, 21, 28, 20], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_50","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_50m3_1 # r11n_50m3_1 # r11n_50NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [12, 19, 11, 18], [15, 10, 14, 9], [9, 16, 8, 15], [18, 23, 17, 22], [24, 17, 23, 16], [14, 25, 13, 24], [26, 28, 25, 7], [20, 26, 19, 27], [28, 20, 27, 21], [22, 13, 21, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_50","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_50m3_1 # m11n_50m3_1 # m11n_50NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [11, 19, 12, 18], [14, 10, 15, 9], [8, 16, 9, 15], [17, 23, 18, 22], [23, 17, 24, 16], [13, 25, 14, 24], [25, 28, 26, 7], [19, 26, 20, 27], [27, 20, 28, 21], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_50","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_50m3_1 # mr11n_50m3_1 # mr11n_50NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [12, 18, 11, 19], [15, 9, 14, 10], [9, 15, 8, 16], [18, 22, 17, 23], [24, 16, 23, 17], [14, 24, 13, 25], [26, 7, 25, 28], [20, 27, 19, 26], [28, 21, 27, 20], [22, 12, 21, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_50","mirror":true,"reverse":true}]falsefalsechiral[]