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 # r11a_2953_1 # r11a_2953_1 # r11a_295None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 10, 16, 9], [7, 13, 28, 14], [27, 20, 26, 19], [19, 26, 18, 25], [21, 28, 20, 27], [25, 16, 24, 15], [23, 12, 22, 11], [11, 24, 10, 23], [9, 18, 8, 17], [15, 22, 14, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_295","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2953_1 # m11a_2953_1 # m11a_295None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 10, 17, 9], [28, 13, 7, 14], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [24, 16, 25, 15], [22, 12, 23, 11], [10, 24, 11, 23], [8, 18, 9, 17], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_295","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2953_1 # mr11a_2953_1 # mr11a_295None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 9, 16, 10], [7, 14, 28, 13], [27, 19, 26, 20], [19, 25, 18, 26], [21, 27, 20, 28], [25, 15, 24, 16], [23, 11, 22, 12], [11, 23, 10, 24], [9, 17, 8, 18], [15, 21, 14, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_295","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2963_1 # 11a_2963_1 # 11a_296None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 9, 17, 10], [28, 14, 7, 13], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26], [24, 15, 25, 16], [22, 11, 23, 12], [10, 23, 11, 24], [8, 17, 9, 18], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_296","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2963_1 # r11a_2963_1 # r11a_296None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 10, 16, 9], [7, 13, 28, 14], [19, 28, 18, 27], [27, 20, 26, 19], [21, 26, 20, 25], [25, 16, 24, 15], [23, 12, 22, 11], [11, 24, 10, 23], [9, 18, 8, 17], [15, 22, 14, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_296","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2963_1 # m11a_2963_1 # m11a_296None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 10, 17, 9], [28, 13, 7, 14], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25], [24, 16, 25, 15], [22, 12, 23, 11], [10, 24, 11, 23], [8, 18, 9, 17], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_296","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2963_1 # mr11a_2963_1 # mr11a_296None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 9, 16, 10], [7, 14, 28, 13], [19, 27, 18, 28], [27, 19, 26, 20], [21, 25, 20, 26], [25, 15, 24, 16], [23, 11, 22, 12], [11, 23, 10, 24], [9, 17, 8, 18], [15, 21, 14, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_296","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2973_1 # 11a_2973_1 # 11a_297None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 15, 27, 16], [22, 11, 23, 12], [28, 14, 7, 13], [20, 27, 21, 28], [8, 19, 9, 20], [14, 21, 15, 22], [18, 24, 19, 23], [16, 9, 17, 10], [24, 18, 25, 17], [10, 25, 11, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_297","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2973_1 # m11a_2973_1 # m11a_297None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 16, 27, 15], [22, 12, 23, 11], [28, 13, 7, 14], [20, 28, 21, 27], [8, 20, 9, 19], [14, 22, 15, 21], [18, 23, 19, 24], [16, 10, 17, 9], [24, 17, 25, 18], [10, 26, 11, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_297","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2983_1 # 11a_2983_1 # 11a_298None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [22, 16, 23, 15], [14, 24, 15, 23], [24, 12, 25, 11], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [20, 26, 21, 25], [8, 14, 9, 13], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_298","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2983_1 # r11a_2983_1 # r11a_298None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 9, 16, 10], [23, 15, 22, 16], [15, 23, 14, 24], [25, 11, 24, 12], [27, 17, 26, 18], [7, 19, 28, 20], [19, 27, 18, 28], [21, 25, 20, 26], [9, 13, 8, 14], [11, 21, 10, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_298","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2983_1 # m11a_2983_1 # m11a_298None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [22, 15, 23, 16], [14, 23, 15, 24], [24, 11, 25, 12], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [20, 25, 21, 26], [8, 13, 9, 14], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_298","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2983_1 # mr11a_2983_1 # mr11a_298None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 10, 16, 9], [23, 16, 22, 15], [15, 24, 14, 23], [25, 12, 24, 11], [27, 18, 26, 17], [7, 20, 28, 19], [19, 28, 18, 27], [21, 26, 20, 25], [9, 14, 8, 13], [11, 22, 10, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_298","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2993_1 # 11a_2993_1 # 11a_299None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [22, 16, 23, 15], [14, 24, 15, 23], [24, 12, 25, 11], [28, 18, 7, 17], [26, 20, 27, 19], [20, 26, 21, 25], [18, 28, 19, 27], [8, 14, 9, 13], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_299","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2993_1 # r11a_2993_1 # r11a_299None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 9, 16, 10], [23, 15, 22, 16], [15, 23, 14, 24], [25, 11, 24, 12], [7, 17, 28, 18], [27, 19, 26, 20], [21, 25, 20, 26], [19, 27, 18, 28], [9, 13, 8, 14], [11, 21, 10, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_299","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2993_1 # m11a_2993_1 # m11a_299None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [22, 15, 23, 16], [14, 23, 15, 24], [24, 11, 25, 12], [28, 17, 7, 18], [26, 19, 27, 20], [20, 25, 21, 26], [18, 27, 19, 28], [8, 13, 9, 14], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_299","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2993_1 # mr11a_2993_1 # mr11a_299None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 10, 16, 9], [23, 16, 22, 15], [15, 24, 14, 23], [25, 12, 24, 11], [7, 18, 28, 17], [27, 20, 26, 19], [21, 26, 20, 25], [19, 28, 18, 27], [9, 14, 8, 13], [11, 22, 10, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_299","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3003_1 # 11a_3003_1 # 11a_300None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [20, 13, 21, 14], [14, 21, 15, 22], [8, 16, 9, 15], [26, 18, 27, 17], [24, 11, 25, 12], [10, 25, 11, 26], [28, 19, 7, 20], [18, 24, 19, 23], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_300","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3003_1 # r11a_3003_1 # r11a_300None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 9, 16, 10], [21, 14, 20, 13], [15, 22, 14, 21], [9, 15, 8, 16], [27, 17, 26, 18], [25, 12, 24, 11], [11, 26, 10, 25], [7, 20, 28, 19], [19, 23, 18, 24], [23, 28, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_300","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3003_1 # m11a_3003_1 # m11a_300None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [20, 14, 21, 13], [14, 22, 15, 21], [8, 15, 9, 16], [26, 17, 27, 18], [24, 12, 25, 11], [10, 26, 11, 25], [28, 20, 7, 19], [18, 23, 19, 24], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_300","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3003_1 # mr11a_3003_1 # mr11a_300None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 10, 16, 9], [21, 13, 20, 14], [15, 21, 14, 22], [9, 16, 8, 15], [27, 18, 26, 17], [25, 11, 24, 12], [11, 25, 10, 26], [7, 19, 28, 20], [19, 24, 18, 23], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_300","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3013_1 # 11a_3013_1 # 11a_301None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 13, 21, 14], [24, 11, 25, 12], [22, 16, 23, 15], [8, 25, 9, 26], [10, 17, 11, 18], [16, 9, 17, 10], [26, 22, 27, 21], [18, 24, 19, 23], [14, 27, 15, 28], [28, 19, 7, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_301","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3013_1 # r11a_3013_1 # r11a_301None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [21, 14, 20, 13], [25, 12, 24, 11], [23, 15, 22, 16], [9, 26, 8, 25], [11, 18, 10, 17], [17, 10, 16, 9], [27, 21, 26, 22], [19, 23, 18, 24], [15, 28, 14, 27], [7, 20, 28, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_301","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3013_1 # m11a_3013_1 # m11a_301None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 14, 21, 13], [24, 12, 25, 11], [22, 15, 23, 16], [8, 26, 9, 25], [10, 18, 11, 17], [16, 10, 17, 9], [26, 21, 27, 22], [18, 23, 19, 24], [14, 28, 15, 27], [28, 20, 7, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_301","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3013_1 # mr11a_3013_1 # mr11a_301None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [21, 13, 20, 14], [25, 11, 24, 12], [23, 16, 22, 15], [9, 25, 8, 26], [11, 17, 10, 18], [17, 9, 16, 10], [27, 22, 26, 21], [19, 24, 18, 23], [15, 27, 14, 28], [7, 19, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_301","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3023_1 # 11a_3023_1 # 11a_302None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 16, 27, 15], [16, 9, 17, 10], [8, 25, 9, 26], [24, 11, 25, 12], [20, 13, 21, 14], [10, 17, 11, 18], [14, 21, 15, 22], [28, 19, 7, 20], [18, 24, 19, 23], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_302","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3023_1 # m11a_3023_1 # m11a_302None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 15, 27, 16], [16, 10, 17, 9], [8, 26, 9, 25], [24, 12, 25, 11], [20, 14, 21, 13], [10, 18, 11, 17], [14, 22, 15, 21], [28, 20, 7, 19], [18, 23, 19, 24], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_302","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3033_1 # 11a_3033_1 # 11a_303None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [14, 20, 15, 19], [24, 11, 25, 12], [8, 25, 9, 26], [16, 9, 17, 10], [22, 16, 23, 15], [10, 17, 11, 18], [28, 14, 7, 13], [18, 24, 19, 23], [26, 22, 27, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_303","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3033_1 # r11a_3033_1 # r11a_303None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [15, 19, 14, 20], [25, 12, 24, 11], [9, 26, 8, 25], [17, 10, 16, 9], [23, 15, 22, 16], [11, 18, 10, 17], [7, 13, 28, 14], [19, 23, 18, 24], [27, 21, 26, 22], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_303","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3033_1 # m11a_3033_1 # m11a_303None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [14, 19, 15, 20], [24, 12, 25, 11], [8, 26, 9, 25], [16, 10, 17, 9], [22, 15, 23, 16], [10, 18, 11, 17], [28, 13, 7, 14], [18, 23, 19, 24], [26, 21, 27, 22], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_303","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3033_1 # mr11a_3033_1 # mr11a_303None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [15, 20, 14, 19], [25, 11, 24, 12], [9, 25, 8, 26], [17, 9, 16, 10], [23, 16, 22, 15], [11, 17, 10, 18], [7, 14, 28, 13], [19, 24, 18, 23], [27, 22, 26, 21], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_303","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3043_1 # 11a_3043_1 # 11a_304None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [20, 14, 21, 13], [24, 17, 25, 18], [28, 22, 7, 21], [22, 28, 23, 27], [18, 23, 19, 24], [14, 20, 15, 19], [26, 12, 27, 11], [8, 16, 9, 15], [10, 26, 11, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_304","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3043_1 # m11a_3043_1 # m11a_304None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [20, 13, 21, 14], [24, 18, 25, 17], [28, 21, 7, 22], [22, 27, 23, 28], [18, 24, 19, 23], [14, 19, 15, 20], [26, 11, 27, 12], [8, 15, 9, 16], [10, 25, 11, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_304","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3053_1 # 11a_3053_1 # 11a_305None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [28, 14, 7, 13], [16, 11, 17, 12], [10, 24, 11, 23], [18, 10, 19, 9], [24, 18, 25, 17], [8, 25, 9, 26], [20, 27, 21, 28], [26, 19, 27, 20], [22, 15, 23, 16], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_305","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3053_1 # m11a_3053_1 # m11a_305None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [28, 13, 7, 14], [16, 12, 17, 11], [10, 23, 11, 24], [18, 9, 19, 10], [24, 17, 25, 18], [8, 26, 9, 25], [20, 28, 21, 27], [26, 20, 27, 19], [22, 16, 23, 15], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_305","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3063_1 # 11a_3063_1 # 11a_306None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 14, 23, 13], [18, 9, 19, 10], [8, 21, 9, 22], [20, 11, 21, 12], [10, 19, 11, 20], [28, 24, 7, 23], [24, 15, 25, 16], [14, 27, 15, 28], [26, 17, 27, 18], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_306","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3063_1 # m11a_3063_1 # m11a_306None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 13, 23, 14], [18, 10, 19, 9], [8, 22, 9, 21], [20, 12, 21, 11], [10, 20, 11, 19], [28, 23, 7, 24], [24, 16, 25, 15], [14, 28, 15, 27], [26, 18, 27, 17], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_306","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3073_1 # 11a_3073_1 # 11a_307None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 14, 23, 13], [18, 9, 19, 10], [8, 21, 9, 22], [20, 11, 21, 12], [10, 19, 11, 20], [28, 24, 7, 23], [24, 17, 25, 18], [26, 15, 27, 16], [16, 25, 17, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_307","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3073_1 # m11a_3073_1 # m11a_307None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 13, 23, 14], [18, 10, 19, 9], [8, 22, 9, 21], [20, 12, 21, 11], [10, 20, 11, 19], [28, 23, 7, 24], [24, 18, 25, 17], [26, 16, 27, 15], [16, 26, 17, 25], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_307","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3083_1 # 11a_3083_1 # 11a_308None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 10, 19, 9], [24, 14, 25, 13], [26, 16, 27, 15], [28, 21, 7, 22], [14, 26, 15, 25], [22, 27, 23, 28], [16, 24, 17, 23], [20, 12, 21, 11], [8, 18, 9, 17], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_308","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3083_1 # m11a_3083_1 # m11a_308None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 9, 19, 10], [24, 13, 25, 14], [26, 15, 27, 16], [28, 22, 7, 21], [14, 25, 15, 26], [22, 28, 23, 27], [16, 23, 17, 24], [20, 11, 21, 12], [8, 17, 9, 18], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_308","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3093_1 # 11a_3093_1 # 11a_309None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 12, 21, 11], [24, 14, 25, 13], [26, 16, 27, 15], [28, 21, 7, 22], [14, 26, 15, 25], [22, 27, 23, 28], [16, 24, 17, 23], [8, 20, 9, 19], [18, 10, 19, 9], [10, 18, 11, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_309","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3093_1 # m11a_3093_1 # m11a_309None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 11, 21, 12], [24, 13, 25, 14], [26, 15, 27, 16], [28, 22, 7, 21], [14, 25, 15, 26], [22, 28, 23, 27], [16, 23, 17, 24], [8, 19, 9, 20], [18, 9, 19, 10], [10, 17, 11, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_309","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3103_1 # 11a_3103_1 # 11a_310None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 10, 19, 9], [26, 14, 27, 13], [28, 21, 7, 22], [22, 27, 23, 28], [24, 16, 25, 15], [16, 24, 17, 23], [14, 26, 15, 25], [20, 12, 21, 11], [8, 18, 9, 17], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_310","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3103_1 # m11a_3103_1 # m11a_310None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 9, 19, 10], [26, 13, 27, 14], [28, 22, 7, 21], [22, 28, 23, 27], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [20, 11, 21, 12], [8, 17, 9, 18], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_310","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3113_1 # 11a_3113_1 # 11a_311None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 12, 21, 11], [26, 14, 27, 13], [28, 21, 7, 22], [22, 27, 23, 28], [24, 16, 25, 15], [16, 24, 17, 23], [14, 26, 15, 25], [8, 20, 9, 19], [18, 10, 19, 9], [10, 18, 11, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_311","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3113_1 # m11a_3113_1 # m11a_311None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 11, 21, 12], [26, 13, 27, 14], [28, 22, 7, 21], [22, 28, 23, 27], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [8, 19, 9, 20], [18, 9, 19, 10], [10, 17, 11, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_311","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3123_1 # 11a_3123_1 # 11a_312None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [18, 9, 19, 10], [8, 19, 9, 20], [10, 23, 11, 24], [14, 27, 15, 28], [26, 17, 27, 18], [24, 15, 25, 16], [16, 25, 17, 26], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_312","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3123_1 # m11a_3123_1 # m11a_312None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [18, 10, 19, 9], [8, 20, 9, 19], [10, 24, 11, 23], [14, 28, 15, 27], [26, 18, 27, 17], [24, 16, 25, 15], [16, 26, 17, 25], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_312","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3133_1 # 11a_3133_1 # 11a_313None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [18, 9, 19, 10], [8, 19, 9, 20], [10, 23, 11, 24], [14, 27, 15, 28], [26, 15, 27, 16], [24, 17, 25, 18], [16, 25, 17, 26], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_313","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3133_1 # m11a_3133_1 # m11a_313None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [18, 10, 19, 9], [8, 20, 9, 19], [10, 24, 11, 23], [14, 28, 15, 27], [26, 16, 27, 15], [24, 18, 25, 17], [16, 26, 17, 25], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_313","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3143_1 # 11a_3143_1 # 11a_314None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [8, 23, 9, 24], [10, 18, 11, 17], [18, 10, 19, 9], [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":false,"reverse":false},{"knot_id":"11a_314","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3143_1 # m11a_3143_1 # m11a_314None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [8, 24, 9, 23], [10, 17, 11, 18], [18, 9, 19, 10], [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":false,"reverse":false},{"knot_id":"11a_314","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3153_1 # 11a_3153_1 # 11a_315None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [18, 10, 19, 9], [8, 23, 9, 24], [22, 11, 23, 12], [10, 18, 11, 17], [26, 19, 27, 20], [28, 16, 7, 15], [20, 27, 21, 28], [16, 21, 17, 22], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_315","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3153_1 # r11a_3153_1 # r11a_315None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [25, 13, 24, 14], [19, 9, 18, 10], [9, 24, 8, 23], [23, 12, 22, 11], [11, 17, 10, 18], [27, 20, 26, 19], [7, 15, 28, 16], [21, 28, 20, 27], [17, 22, 16, 21], [15, 25, 14, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_315","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3153_1 # m11a_3153_1 # m11a_315None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [18, 9, 19, 10], [8, 24, 9, 23], [22, 12, 23, 11], [10, 17, 11, 18], [26, 20, 27, 19], [28, 15, 7, 16], [20, 28, 21, 27], [16, 22, 17, 21], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_315","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3153_1 # mr11a_3153_1 # mr11a_315None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [25, 14, 24, 13], [19, 10, 18, 9], [9, 23, 8, 24], [23, 11, 22, 12], [11, 18, 10, 17], [27, 19, 26, 20], [7, 16, 28, 15], [21, 27, 20, 28], [17, 21, 16, 22], [15, 26, 14, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_315","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3163_1 # 11a_3163_1 # 11a_316None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 19, 25, 20], [18, 10, 19, 9], [8, 23, 9, 24], [22, 11, 23, 12], [26, 14, 27, 13], [28, 16, 7, 15], [14, 28, 15, 27], [10, 18, 11, 17], [20, 25, 21, 26], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_316","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3163_1 # r11a_3163_1 # r11a_316None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [25, 20, 24, 19], [19, 9, 18, 10], [9, 24, 8, 23], [23, 12, 22, 11], [27, 13, 26, 14], [7, 15, 28, 16], [15, 27, 14, 28], [11, 17, 10, 18], [21, 26, 20, 25], [17, 22, 16, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_316","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3163_1 # m11a_3163_1 # m11a_316None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 20, 25, 19], [18, 9, 19, 10], [8, 24, 9, 23], [22, 12, 23, 11], [26, 13, 27, 14], [28, 15, 7, 16], [14, 27, 15, 28], [10, 17, 11, 18], [20, 26, 21, 25], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_316","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3163_1 # mr11a_3163_1 # mr11a_316None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [25, 19, 24, 20], [19, 10, 18, 9], [9, 23, 8, 24], [23, 11, 22, 12], [27, 14, 26, 13], [7, 16, 28, 15], [15, 28, 14, 27], [11, 18, 10, 17], [21, 25, 20, 26], [17, 21, 16, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_316","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3173_1 # 11a_3173_1 # 11a_317None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 9, 19, 10], [26, 14, 27, 13], [28, 16, 7, 15], [14, 28, 15, 27], [20, 25, 21, 26], [24, 17, 25, 18], [22, 11, 23, 12], [10, 23, 11, 24], [8, 19, 9, 20], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_317","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3173_1 # m11a_3173_1 # m11a_317None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 10, 19, 9], [26, 13, 27, 14], [28, 15, 7, 16], [14, 27, 15, 28], [20, 26, 21, 25], [24, 18, 25, 17], [22, 12, 23, 11], [10, 24, 11, 23], [8, 20, 9, 19], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_317","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3183_1 # 11a_3183_1 # 11a_318None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 10, 19, 9], [28, 14, 7, 13], [16, 28, 17, 27], [24, 16, 25, 15], [26, 20, 27, 19], [20, 26, 21, 25], [14, 24, 15, 23], [22, 12, 23, 11], [8, 18, 9, 17], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_318","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3183_1 # m11a_3183_1 # m11a_318None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 9, 19, 10], [28, 13, 7, 14], [16, 27, 17, 28], [24, 15, 25, 16], [26, 19, 27, 20], [20, 25, 21, 26], [14, 23, 15, 24], [22, 11, 23, 12], [8, 17, 9, 18], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_318","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3193_1 # 11a_3193_1 # 11a_319None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 14, 7, 13], [16, 26, 17, 25], [18, 10, 19, 9], [10, 18, 11, 17], [20, 28, 21, 27], [26, 20, 27, 19], [24, 16, 25, 15], [14, 24, 15, 23], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_319","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3193_1 # r11a_3193_1 # r11a_319None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [23, 11, 22, 12], [7, 13, 28, 14], [17, 25, 16, 26], [19, 9, 18, 10], [11, 17, 10, 18], [21, 27, 20, 28], [27, 19, 26, 20], [25, 15, 24, 16], [15, 23, 14, 24], [9, 21, 8, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_319","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3193_1 # m11a_3193_1 # m11a_319None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 13, 7, 14], [16, 25, 17, 26], [18, 9, 19, 10], [10, 17, 11, 18], [20, 27, 21, 28], [26, 19, 27, 20], [24, 15, 25, 16], [14, 23, 15, 24], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_319","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3193_1 # mr11a_3193_1 # mr11a_319None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [23, 12, 22, 11], [7, 14, 28, 13], [17, 26, 16, 25], [19, 10, 18, 9], [11, 18, 10, 17], [21, 28, 20, 27], [27, 20, 26, 19], [25, 16, 24, 15], [15, 24, 14, 23], [9, 22, 8, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_319","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3203_1 # 11a_3203_1 # 11a_320None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 14, 7, 13], [24, 16, 25, 15], [18, 10, 19, 9], [10, 18, 11, 17], [20, 28, 21, 27], [26, 20, 27, 19], [16, 24, 17, 23], [14, 26, 15, 25], [8, 22, 9, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_320","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3203_1 # r11a_3203_1 # r11a_320None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [23, 11, 22, 12], [7, 13, 28, 14], [25, 15, 24, 16], [19, 9, 18, 10], [11, 17, 10, 18], [21, 27, 20, 28], [27, 19, 26, 20], [17, 23, 16, 24], [15, 25, 14, 26], [9, 21, 8, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_320","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3203_1 # m11a_3203_1 # m11a_320None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 13, 7, 14], [24, 15, 25, 16], [18, 9, 19, 10], [10, 17, 11, 18], [20, 27, 21, 28], [26, 19, 27, 20], [16, 23, 17, 24], [14, 25, 15, 26], [8, 21, 9, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_320","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3203_1 # mr11a_3203_1 # mr11a_320None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [23, 12, 22, 11], [7, 14, 28, 13], [25, 16, 24, 15], [19, 10, 18, 9], [11, 18, 10, 17], [21, 28, 20, 27], [27, 20, 26, 19], [17, 24, 16, 23], [15, 26, 14, 25], [9, 22, 8, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_320","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3213_1 # 11a_3213_1 # 11a_321None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 9, 19, 10], [28, 14, 7, 13], [20, 27, 21, 28], [24, 15, 25, 16], [22, 11, 23, 12], [10, 23, 11, 24], [26, 17, 27, 18], [16, 25, 17, 26], [8, 19, 9, 20], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_321","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3213_1 # m11a_3213_1 # m11a_321None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 10, 19, 9], [28, 13, 7, 14], [20, 28, 21, 27], [24, 16, 25, 15], [22, 12, 23, 11], [10, 24, 11, 23], [26, 18, 27, 17], [16, 26, 17, 25], [8, 20, 9, 19], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_321","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3223_1 # 11a_3223_1 # 11a_322None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 15, 27, 16], [22, 11, 23, 12], [8, 23, 9, 24], [18, 10, 19, 9], [10, 18, 11, 17], [28, 14, 7, 13], [20, 27, 21, 28], [24, 19, 25, 20], [14, 21, 15, 22], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_322","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3223_1 # r11a_3223_1 # r11a_322None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [27, 16, 26, 15], [23, 12, 22, 11], [9, 24, 8, 23], [19, 9, 18, 10], [11, 17, 10, 18], [7, 13, 28, 14], [21, 28, 20, 27], [25, 20, 24, 19], [15, 22, 14, 21], [17, 26, 16, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_322","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3223_1 # m11a_3223_1 # m11a_322None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 16, 27, 15], [22, 12, 23, 11], [8, 24, 9, 23], [18, 9, 19, 10], [10, 17, 11, 18], [28, 13, 7, 14], [20, 28, 21, 27], [24, 20, 25, 19], [14, 22, 15, 21], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_322","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3223_1 # mr11a_3223_1 # mr11a_322None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [27, 15, 26, 16], [23, 11, 22, 12], [9, 23, 8, 24], [19, 10, 18, 9], [11, 18, 10, 17], [7, 14, 28, 13], [21, 27, 20, 28], [25, 19, 24, 20], [15, 21, 14, 22], [17, 25, 16, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_322","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3233_1 # 11a_3233_1 # 11a_323None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 19, 25, 20], [18, 10, 19, 9], [8, 23, 9, 24], [22, 11, 23, 12], [28, 14, 7, 13], [26, 16, 27, 15], [10, 18, 11, 17], [20, 25, 21, 26], [14, 28, 15, 27], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_323","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3233_1 # r11a_3233_1 # r11a_323None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [25, 20, 24, 19], [19, 9, 18, 10], [9, 24, 8, 23], [23, 12, 22, 11], [7, 13, 28, 14], [27, 15, 26, 16], [11, 17, 10, 18], [21, 26, 20, 25], [15, 27, 14, 28], [17, 22, 16, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_323","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3233_1 # m11a_3233_1 # m11a_323None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 20, 25, 19], [18, 9, 19, 10], [8, 24, 9, 23], [22, 12, 23, 11], [28, 13, 7, 14], [26, 15, 27, 16], [10, 17, 11, 18], [20, 26, 21, 25], [14, 27, 15, 28], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_323","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3233_1 # mr11a_3233_1 # mr11a_323None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [25, 19, 24, 20], [19, 10, 18, 9], [9, 23, 8, 24], [23, 11, 22, 12], [7, 14, 28, 13], [27, 16, 26, 15], [11, 18, 10, 17], [21, 25, 20, 26], [15, 28, 14, 27], [17, 21, 16, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_323","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3243_1 # 11a_3243_1 # 11a_324None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 9, 19, 10], [28, 14, 7, 13], [20, 27, 21, 28], [26, 15, 27, 16], [22, 11, 23, 12], [10, 23, 11, 24], [24, 17, 25, 18], [8, 19, 9, 20], [14, 21, 15, 22], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_324","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3243_1 # m11a_3243_1 # m11a_324None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 10, 19, 9], [28, 13, 7, 14], [20, 28, 21, 27], [26, 16, 27, 15], [22, 12, 23, 11], [10, 24, 11, 23], [24, 18, 25, 17], [8, 20, 9, 19], [14, 22, 15, 21], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_324","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3253_1 # 11a_3253_1 # 11a_325None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 9, 19, 10], [28, 14, 7, 13], [26, 16, 27, 15], [20, 25, 21, 26], [14, 28, 15, 27], [24, 17, 25, 18], [22, 11, 23, 12], [10, 23, 11, 24], [8, 19, 9, 20], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_325","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3253_1 # m11a_3253_1 # m11a_325None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 10, 19, 9], [28, 13, 7, 14], [26, 15, 27, 16], [20, 26, 21, 25], [14, 27, 15, 28], [24, 18, 25, 17], [22, 12, 23, 11], [10, 24, 11, 23], [8, 20, 9, 19], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_325","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3263_1 # 11a_3263_1 # 11a_326None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 19, 27, 20], [18, 10, 19, 9], [8, 25, 9, 26], [24, 11, 25, 12], [28, 16, 7, 15], [20, 14, 21, 13], [14, 22, 15, 21], [10, 18, 11, 17], [22, 27, 23, 28], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_326","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3263_1 # r11a_3263_1 # r11a_326None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [27, 20, 26, 19], [19, 9, 18, 10], [9, 26, 8, 25], [25, 12, 24, 11], [7, 15, 28, 16], [21, 13, 20, 14], [15, 21, 14, 22], [11, 17, 10, 18], [23, 28, 22, 27], [17, 24, 16, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_326","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3263_1 # m11a_3263_1 # m11a_326None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 20, 27, 19], [18, 9, 19, 10], [8, 26, 9, 25], [24, 12, 25, 11], [28, 15, 7, 16], [20, 13, 21, 14], [14, 21, 15, 22], [10, 17, 11, 18], [22, 28, 23, 27], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_326","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3263_1 # mr11a_3263_1 # mr11a_326None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [27, 19, 26, 20], [19, 10, 18, 9], [9, 25, 8, 26], [25, 11, 24, 12], [7, 16, 28, 15], [21, 14, 20, 13], [15, 22, 14, 21], [11, 18, 10, 17], [23, 27, 22, 28], [17, 23, 16, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_326","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3273_1 # 11a_3273_1 # 11a_327None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 12, 25, 11], [18, 10, 19, 9], [20, 16, 21, 15], [16, 26, 17, 25], [26, 20, 27, 19], [10, 18, 11, 17], [28, 21, 7, 22], [22, 13, 23, 14], [14, 27, 15, 28], [8, 24, 9, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_327","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3273_1 # m11a_3273_1 # m11a_327None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 11, 25, 12], [18, 9, 19, 10], [20, 15, 21, 16], [16, 25, 17, 26], [26, 19, 27, 20], [10, 17, 11, 18], [28, 22, 7, 21], [22, 14, 23, 13], [14, 28, 15, 27], [8, 23, 9, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_327","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3283_1 # 11a_3283_1 # 11a_328None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 12, 25, 11], [28, 16, 7, 15], [22, 13, 23, 14], [20, 28, 21, 27], [18, 10, 19, 9], [10, 18, 11, 17], [26, 20, 27, 19], [14, 21, 15, 22], [16, 26, 17, 25], [8, 24, 9, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_328","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_3283_1 # r11a_3283_1 # r11a_328None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [25, 11, 24, 12], [7, 15, 28, 16], [23, 14, 22, 13], [21, 27, 20, 28], [19, 9, 18, 10], [11, 17, 10, 18], [27, 19, 26, 20], [15, 22, 14, 21], [17, 25, 16, 26], [9, 23, 8, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_328","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_3283_1 # m11a_3283_1 # m11a_328None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 11, 25, 12], [28, 15, 7, 16], [22, 14, 23, 13], [20, 27, 21, 28], [18, 9, 19, 10], [10, 17, 11, 18], [26, 19, 27, 20], [14, 22, 15, 21], [16, 25, 17, 26], [8, 23, 9, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_328","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_3283_1 # mr11a_3283_1 # mr11a_328None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [25, 12, 24, 11], [7, 16, 28, 15], [23, 13, 22, 14], [21, 28, 20, 27], [19, 10, 18, 9], [11, 18, 10, 17], [27, 20, 26, 19], [15, 21, 14, 22], [17, 26, 16, 25], [9, 24, 8, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_328","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_3293_1 # 11a_3293_1 # 11a_329None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 12, 25, 11], [28, 14, 7, 13], [20, 16, 21, 15], [18, 10, 19, 9], [10, 18, 11, 17], [22, 28, 23, 27], [26, 20, 27, 19], [14, 22, 15, 21], [16, 26, 17, 25], [8, 24, 9, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_329","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_3293_1 # m11a_3293_1 # m11a_329None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 11, 25, 12], [28, 13, 7, 14], [20, 15, 21, 16], [18, 9, 19, 10], [10, 17, 11, 18], [22, 27, 23, 28], [26, 19, 27, 20], [14, 21, 15, 22], [16, 25, 17, 26], [8, 23, 9, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_329","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_3303_1 # 11a_3303_1 # 11a_330None14truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 19, 27, 20], [18, 10, 19, 9], [8, 25, 9, 26], [24, 11, 25, 12], [28, 14, 7, 13], [10, 18, 11, 17], [20, 27, 21, 28], [16, 23, 17, 24], [22, 15, 23, 16], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_330","mirror":false,"reverse":false}]falsefalsechiral[]