Yet Another Knot Database

6,675,982 rows · 100 per page · Row type: OrientedKnotRow

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
3_1 # m5_2 # 6_23_1 # m5_2 # 6_23_1 # m5_2 # 6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_2 # m6_23_1 # m5_2 # m6_23_1 # m5_2 # m6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m5_2 # 6_33_1 # m5_2 # 6_33_1 # m5_2 # 6_3None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 11a_13_1 # 11a_13_1 # 11a_1None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 18, 23, 17], [20, 13, 21, 14], [12, 21, 13, 22], [26, 20, 27, 19], [28, 24, 7, 23], [24, 28, 25, 27], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_13_1 # m11a_13_1 # m11a_1None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 17, 23, 18], [20, 14, 21, 13], [12, 22, 13, 21], [26, 19, 27, 20], [28, 23, 7, 24], [24, 27, 25, 28], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_23_1 # 11a_23_1 # 11a_2None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [24, 18, 25, 17], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [18, 24, 19, 23], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_2","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_23_1 # r11a_23_1 # r11a_2None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [25, 17, 24, 18], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [19, 23, 18, 24], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_2","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_23_1 # m11a_23_1 # m11a_2None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [24, 17, 25, 18], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [18, 23, 19, 24], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_2","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_23_1 # mr11a_23_1 # mr11a_2None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [25, 18, 24, 17], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [19, 24, 18, 23], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_2","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_33_1 # 11a_33_1 # 11a_3None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [26, 21, 27, 22], [24, 17, 25, 18], [18, 25, 19, 26], [28, 23, 7, 24], [22, 27, 23, 28], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_3","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_33_1 # r11a_33_1 # r11a_3None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [27, 22, 26, 21], [25, 18, 24, 17], [19, 26, 18, 25], [7, 24, 28, 23], [23, 28, 22, 27], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_3","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_33_1 # m11a_33_1 # m11a_3None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [26, 22, 27, 21], [24, 18, 25, 17], [18, 26, 19, 25], [28, 24, 7, 23], [22, 28, 23, 27], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_3","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_33_1 # mr11a_33_1 # mr11a_3None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [27, 21, 26, 22], [25, 17, 24, 18], [19, 25, 18, 26], [7, 23, 28, 24], [23, 27, 22, 28], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_3","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_43_1 # 11a_43_1 # 11a_4None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [26, 23, 27, 24], [24, 17, 25, 18], [18, 25, 19, 26], [28, 21, 7, 22], [22, 27, 23, 28], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_4","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_43_1 # m11a_43_1 # m11a_4None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [26, 24, 27, 23], [24, 18, 25, 17], [18, 26, 19, 25], [28, 22, 7, 21], [22, 28, 23, 27], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_4","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_53_1 # 11a_53_1 # 11a_5None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 20, 23, 19], [20, 13, 21, 14], [12, 21, 13, 22], [26, 18, 27, 17], [28, 23, 7, 24], [24, 27, 25, 28], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_5","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_53_1 # m11a_53_1 # m11a_5None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 19, 23, 20], [20, 14, 21, 13], [12, 22, 13, 21], [26, 17, 27, 18], [28, 24, 7, 23], [24, 28, 25, 27], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_5","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_63_1 # 11a_63_1 # 11a_6None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [24, 18, 25, 17], [28, 26, 7, 25], [26, 19, 27, 20], [18, 27, 19, 28], [20, 24, 21, 23], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_6","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_63_1 # m11a_63_1 # m11a_6None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [24, 17, 25, 18], [28, 25, 7, 26], [26, 20, 27, 19], [18, 28, 19, 27], [20, 23, 21, 24], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_6","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_73_1 # 11a_73_1 # 11a_7None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [28, 23, 7, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_7","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_73_1 # m11a_73_1 # m11a_7None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [28, 24, 7, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_7","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_83_1 # 11a_83_1 # 11a_8None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [28, 23, 7, 24], [24, 17, 25, 18], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_8","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_83_1 # m11a_83_1 # m11a_8None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [28, 24, 7, 23], [24, 18, 25, 17], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_8","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_93_1 # 11a_93_1 # 11a_9None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [24, 18, 25, 17], [22, 13, 23, 14], [12, 23, 13, 24], [26, 20, 27, 19], [28, 22, 7, 21], [18, 26, 19, 25], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_9","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_93_1 # m11a_93_1 # m11a_9None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [24, 17, 25, 18], [22, 14, 23, 13], [12, 24, 13, 23], [26, 19, 27, 20], [28, 21, 7, 22], [18, 25, 19, 26], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_9","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_103_1 # 11a_103_1 # 11a_10None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [24, 18, 25, 17], [22, 13, 23, 14], [12, 23, 13, 24], [28, 22, 7, 21], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_10","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_103_1 # m11a_103_1 # m11a_10None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [24, 17, 25, 18], [22, 14, 23, 13], [12, 24, 13, 23], [28, 21, 7, 22], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_10","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_113_1 # 11a_113_1 # 11a_11None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [24, 20, 25, 19], [20, 24, 21, 23], [28, 25, 7, 26], [26, 17, 27, 18], [18, 27, 19, 28], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_11","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_113_1 # m11a_113_1 # m11a_11None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [24, 19, 25, 20], [20, 23, 21, 24], [28, 26, 7, 25], [26, 18, 27, 17], [18, 28, 19, 27], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_11","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_123_1 # 11a_123_1 # 11a_12None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [24, 22, 25, 21], [22, 13, 23, 14], [12, 23, 13, 24], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_12","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_123_1 # m11a_123_1 # m11a_12None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [24, 21, 25, 22], [22, 14, 23, 13], [12, 24, 13, 23], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_12","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_133_1 # 11a_133_1 # 11a_13None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [24, 22, 25, 21], [22, 13, 23, 14], [12, 23, 13, 24], [28, 18, 7, 17], [26, 20, 27, 19], [20, 26, 21, 25], [18, 28, 19, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_13","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_133_1 # m11a_133_1 # m11a_13None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [24, 21, 25, 22], [22, 14, 23, 13], [12, 24, 13, 23], [28, 17, 7, 18], [26, 19, 27, 20], [20, 25, 21, 26], [18, 27, 19, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_13","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_143_1 # 11a_143_1 # 11a_14None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [18, 11, 19, 12], [12, 19, 13, 20], [24, 17, 25, 18], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [16, 23, 17, 24], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_14","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_143_1 # m11a_143_1 # m11a_14None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_14","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_153_1 # 11a_153_1 # 11a_15None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_15","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_153_1 # r11a_153_1 # r11a_15None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [19, 12, 18, 11], [13, 20, 12, 19], [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":false,"reverse":false},{"knot_id":"11a_15","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_153_1 # m11a_153_1 # m11a_15None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_15","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_153_1 # mr11a_153_1 # mr11a_15None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [21, 15, 20, 16], [19, 11, 18, 12], [13, 19, 12, 20], [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":false,"reverse":false},{"knot_id":"11a_15","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_163_1 # 11a_163_1 # 11a_16None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_16","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_163_1 # m11a_163_1 # m11a_16None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 16, 21, 15], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_16","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_173_1 # 11a_173_1 # 11a_17None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [22, 15, 23, 16], [26, 20, 27, 19], [28, 23, 7, 24], [24, 27, 25, 28], [20, 26, 21, 25], [16, 21, 17, 22], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_17","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_173_1 # r11a_173_1 # r11a_17None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [19, 11, 18, 12], [23, 16, 22, 15], [27, 19, 26, 20], [7, 24, 28, 23], [25, 28, 24, 27], [21, 25, 20, 26], [17, 22, 16, 21], [13, 17, 12, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_17","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_173_1 # m11a_173_1 # m11a_17None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [22, 16, 23, 15], [26, 19, 27, 20], [28, 24, 7, 23], [24, 28, 25, 27], [20, 25, 21, 26], [16, 22, 17, 21], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_17","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_173_1 # mr11a_173_1 # mr11a_17None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [19, 12, 18, 11], [23, 15, 22, 16], [27, 20, 26, 19], [7, 23, 28, 24], [25, 27, 24, 28], [21, 26, 20, 25], [17, 21, 16, 22], [13, 18, 12, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_17","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_183_1 # 11a_183_1 # 11a_18None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [24, 22, 25, 21], [22, 16, 23, 15], [16, 24, 17, 23], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_18","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_183_1 # r11a_183_1 # r11a_18None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [19, 11, 18, 12], [25, 21, 24, 22], [23, 15, 22, 16], [17, 23, 16, 24], [7, 26, 28, 25], [27, 20, 26, 19], [21, 28, 20, 27], [13, 17, 12, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_18","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_183_1 # m11a_183_1 # m11a_18None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [24, 21, 25, 22], [22, 15, 23, 16], [16, 23, 17, 24], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_18","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_183_1 # mr11a_183_1 # mr11a_18None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [19, 12, 18, 11], [25, 22, 24, 21], [23, 16, 22, 15], [17, 24, 16, 23], [7, 25, 28, 26], [27, 19, 26, 20], [21, 27, 20, 28], [13, 18, 12, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_18","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_193_1 # 11a_193_1 # 11a_19None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [28, 23, 7, 24], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_19","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_193_1 # r11a_193_1 # r11a_19None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [7, 24, 28, 23], [19, 12, 18, 11], [13, 20, 12, 19], [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":false,"reverse":false},{"knot_id":"11a_19","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_193_1 # m11a_193_1 # m11a_19None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [28, 24, 7, 23], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_19","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_193_1 # mr11a_193_1 # mr11a_19None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [7, 23, 28, 24], [19, 11, 18, 12], [13, 19, 12, 20], [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":false,"reverse":false},{"knot_id":"11a_19","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_203_1 # 11a_203_1 # 11a_20None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [24, 15, 25, 16], [26, 20, 27, 19], [28, 22, 7, 21], [20, 28, 21, 27], [22, 26, 23, 25], [16, 23, 17, 24], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_20","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_203_1 # r11a_203_1 # r11a_20None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [19, 11, 18, 12], [25, 16, 24, 15], [27, 19, 26, 20], [7, 21, 28, 22], [21, 27, 20, 28], [23, 25, 22, 26], [17, 24, 16, 23], [13, 17, 12, 18], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_20","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_203_1 # m11a_203_1 # m11a_20None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [24, 16, 25, 15], [26, 19, 27, 20], [28, 21, 7, 22], [20, 27, 21, 28], [22, 25, 23, 26], [16, 24, 17, 23], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_20","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_203_1 # mr11a_203_1 # mr11a_20None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [19, 12, 18, 11], [25, 15, 24, 16], [27, 20, 26, 19], [7, 22, 28, 21], [21, 28, 20, 27], [23, 26, 22, 25], [17, 23, 16, 24], [13, 18, 12, 17], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_20","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_213_1 # 11a_213_1 # 11a_21None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 12, 19, 11], [24, 15, 25, 16], [28, 20, 7, 19], [26, 22, 27, 21], [22, 26, 23, 25], [20, 28, 21, 27], [16, 23, 17, 24], [12, 18, 13, 17], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_21","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_213_1 # m11a_213_1 # m11a_21None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [18, 11, 19, 12], [24, 16, 25, 15], [28, 19, 7, 20], [26, 21, 27, 22], [22, 25, 23, 26], [20, 27, 21, 28], [16, 24, 17, 23], [12, 17, 13, 18], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_21","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_223_1 # 11a_223_1 # 11a_22None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 17, 21, 18], [18, 11, 19, 12], [12, 19, 13, 20], [26, 22, 27, 21], [24, 16, 25, 15], [16, 26, 17, 25], [28, 24, 7, 23], [22, 28, 23, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_22","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_223_1 # r11a_223_1 # r11a_22None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [21, 18, 20, 17], [19, 12, 18, 11], [13, 20, 12, 19], [27, 21, 26, 22], [25, 15, 24, 16], [17, 25, 16, 26], [7, 23, 28, 24], [23, 27, 22, 28], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_22","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_223_1 # m11a_223_1 # m11a_22None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 18, 21, 17], [18, 12, 19, 11], [12, 20, 13, 19], [26, 21, 27, 22], [24, 15, 25, 16], [16, 25, 17, 26], [28, 23, 7, 24], [22, 27, 23, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_22","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_223_1 # mr11a_223_1 # mr11a_22None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [21, 17, 20, 18], [19, 11, 18, 12], [13, 19, 12, 20], [27, 22, 26, 21], [25, 16, 24, 15], [17, 26, 16, 25], [7, 24, 28, 23], [23, 28, 22, 27], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_22","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_233_1 # 11a_233_1 # 11a_23None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 17, 21, 18], [18, 11, 19, 12], [12, 19, 13, 20], [26, 24, 27, 23], [24, 16, 25, 15], [16, 26, 17, 25], [28, 22, 7, 21], [22, 28, 23, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_23","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_233_1 # m11a_233_1 # m11a_23None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 18, 21, 17], [18, 12, 19, 11], [12, 20, 13, 19], [26, 23, 27, 24], [24, 15, 25, 16], [16, 25, 17, 26], [28, 21, 7, 22], [22, 27, 23, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_23","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_243_1 # 11a_243_1 # 11a_24None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_24","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_243_1 # r11a_243_1 # r11a_24None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [23, 18, 22, 17], [19, 12, 18, 11], [13, 20, 12, 19], [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":false,"reverse":false},{"knot_id":"11a_24","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_243_1 # m11a_243_1 # m11a_24None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_24","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_243_1 # mr11a_243_1 # mr11a_24None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [23, 17, 22, 18], [19, 11, 18, 12], [13, 19, 12, 20], [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":false,"reverse":false},{"knot_id":"11a_24","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_253_1 # 11a_253_1 # 11a_25None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [24, 16, 25, 15], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_25","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_253_1 # r11a_253_1 # r11a_25None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [25, 15, 24, 16], [19, 12, 18, 11], [13, 20, 12, 19], [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":false,"reverse":false},{"knot_id":"11a_25","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_253_1 # m11a_253_1 # m11a_25None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [24, 15, 25, 16], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_25","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_253_1 # mr11a_253_1 # mr11a_25None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [25, 16, 24, 15], [19, 11, 18, 12], [13, 19, 12, 20], [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":false,"reverse":false},{"knot_id":"11a_25","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_263_1 # 11a_263_1 # 11a_26None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [26, 15, 27, 16], [18, 11, 19, 12], [12, 19, 13, 20], [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":false,"reverse":false},{"knot_id":"11a_26","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_263_1 # r11a_263_1 # r11a_26None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [27, 16, 26, 15], [19, 12, 18, 11], [13, 20, 12, 19], [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":false,"reverse":false},{"knot_id":"11a_26","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_263_1 # m11a_263_1 # m11a_26None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [26, 16, 27, 15], [18, 12, 19, 11], [12, 20, 13, 19], [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":false,"reverse":false},{"knot_id":"11a_26","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_263_1 # mr11a_263_1 # mr11a_26None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [27, 15, 26, 16], [19, 11, 18, 12], [13, 19, 12, 20], [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":false,"reverse":false},{"knot_id":"11a_26","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_273_1 # 11a_273_1 # 11a_27None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [28, 20, 7, 19], [14, 9, 15, 10], [8, 15, 9, 16], [20, 13, 21, 14], [26, 21, 27, 22], [18, 12, 19, 11], [16, 23, 17, 24], [24, 17, 25, 18], [22, 25, 23, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_27","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_273_1 # r11a_273_1 # r11a_27None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [7, 19, 28, 20], [15, 10, 14, 9], [9, 16, 8, 15], [21, 14, 20, 13], [27, 22, 26, 21], [19, 11, 18, 12], [17, 24, 16, 23], [25, 18, 24, 17], [23, 26, 22, 25], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_27","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_273_1 # m11a_273_1 # m11a_27None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [28, 19, 7, 20], [14, 10, 15, 9], [8, 16, 9, 15], [20, 14, 21, 13], [26, 22, 27, 21], [18, 11, 19, 12], [16, 24, 17, 23], [24, 18, 25, 17], [22, 26, 23, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_27","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_273_1 # mr11a_273_1 # mr11a_27None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [7, 20, 28, 19], [15, 9, 14, 10], [9, 15, 8, 16], [21, 13, 20, 14], [27, 21, 26, 22], [19, 12, 18, 11], [17, 23, 16, 24], [25, 17, 24, 18], [23, 25, 22, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_27","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_283_1 # 11a_283_1 # 11a_28None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [26, 20, 27, 19], [14, 9, 15, 10], [8, 15, 9, 16], [22, 13, 23, 14], [28, 22, 7, 21], [16, 23, 17, 24], [18, 12, 19, 11], [24, 17, 25, 18], [12, 25, 13, 26], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_28","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_283_1 # r11a_283_1 # r11a_28None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [27, 19, 26, 20], [15, 10, 14, 9], [9, 16, 8, 15], [23, 14, 22, 13], [7, 21, 28, 22], [17, 24, 16, 23], [19, 11, 18, 12], [25, 18, 24, 17], [13, 26, 12, 25], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_28","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_283_1 # m11a_283_1 # m11a_28None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [26, 19, 27, 20], [14, 10, 15, 9], [8, 16, 9, 15], [22, 14, 23, 13], [28, 21, 7, 22], [16, 24, 17, 23], [18, 11, 19, 12], [24, 18, 25, 17], [12, 26, 13, 25], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_28","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_283_1 # mr11a_283_1 # mr11a_28None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [27, 20, 26, 19], [15, 9, 14, 10], [9, 15, 8, 16], [23, 13, 22, 14], [7, 22, 28, 21], [17, 23, 16, 24], [19, 12, 18, 11], [25, 17, 24, 18], [13, 25, 12, 26], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_28","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_293_1 # 11a_293_1 # 11a_29None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [26, 22, 27, 21], [14, 9, 15, 10], [8, 15, 9, 16], [22, 13, 23, 14], [28, 20, 7, 19], [20, 28, 21, 27], [16, 23, 17, 24], [18, 12, 19, 11], [24, 17, 25, 18], [12, 25, 13, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_29","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_293_1 # r11a_293_1 # r11a_29None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [27, 21, 26, 22], [15, 10, 14, 9], [9, 16, 8, 15], [23, 14, 22, 13], [7, 19, 28, 20], [21, 27, 20, 28], [17, 24, 16, 23], [19, 11, 18, 12], [25, 18, 24, 17], [13, 26, 12, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_29","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_293_1 # m11a_293_1 # m11a_29None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [26, 21, 27, 22], [14, 10, 15, 9], [8, 16, 9, 15], [22, 14, 23, 13], [28, 19, 7, 20], [20, 27, 21, 28], [16, 24, 17, 23], [18, 11, 19, 12], [24, 18, 25, 17], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_29","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_293_1 # mr11a_293_1 # mr11a_29None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [27, 22, 26, 21], [15, 9, 14, 10], [9, 15, 8, 16], [23, 13, 22, 14], [7, 20, 28, 19], [21, 28, 20, 27], [17, 23, 16, 24], [19, 12, 18, 11], [25, 17, 24, 18], [13, 25, 12, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_29","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_303_1 # 11a_303_1 # 11a_30None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 12, 19, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 18, 23, 17], [16, 24, 17, 23], [24, 14, 25, 13], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_30","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_303_1 # r11a_303_1 # r11a_30None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 11, 18, 12], [15, 10, 14, 9], [9, 16, 8, 15], [23, 17, 22, 18], [17, 23, 16, 24], [25, 13, 24, 14], [7, 26, 28, 25], [27, 20, 26, 19], [21, 28, 20, 27], [13, 21, 12, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_30","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_303_1 # m11a_303_1 # m11a_30None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 11, 19, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 17, 23, 18], [16, 23, 17, 24], [24, 13, 25, 14], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_30","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_303_1 # mr11a_303_1 # mr11a_30None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 12, 18, 11], [15, 9, 14, 10], [9, 15, 8, 16], [23, 18, 22, 17], [17, 24, 16, 23], [25, 14, 24, 13], [7, 25, 28, 26], [27, 19, 26, 20], [21, 27, 20, 28], [13, 22, 12, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_30","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_313_1 # 11a_313_1 # 11a_31None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [28, 22, 7, 21], [22, 16, 23, 15], [26, 24, 27, 23], [24, 17, 25, 18], [16, 25, 17, 26], [18, 28, 19, 27], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_31","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_313_1 # m11a_313_1 # m11a_31None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [28, 21, 7, 22], [22, 15, 23, 16], [26, 23, 27, 24], [24, 18, 25, 17], [16, 26, 17, 25], [18, 27, 19, 28], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_31","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_323_1 # 11a_323_1 # 11a_32None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [28, 22, 7, 21], [22, 16, 23, 15], [16, 28, 17, 27], [24, 17, 25, 18], [26, 23, 27, 24], [18, 25, 19, 26], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_32","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_323_1 # m11a_323_1 # m11a_32None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [28, 21, 7, 22], [22, 15, 23, 16], [16, 27, 17, 28], [24, 18, 25, 17], [26, 24, 27, 23], [18, 26, 19, 25], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_32","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_333_1 # 11a_333_1 # 11a_33None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [20, 11, 21, 12], [12, 21, 13, 22], [24, 17, 25, 18], [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":false,"reverse":false},{"knot_id":"11a_33","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_333_1 # m11a_333_1 # m11a_33None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [20, 12, 21, 11], [12, 22, 13, 21], [24, 18, 25, 17], [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":false,"reverse":false},{"knot_id":"11a_33","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_343_1 # 11a_343_1 # 11a_34None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [20, 11, 21, 12], [12, 21, 13, 22], [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":false,"reverse":false},{"knot_id":"11a_34","mirror":false,"reverse":false}]falsetruereversible[]