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 # m3_1 # m8_8m3_1 # m3_1 # m8_8m3_1 # m3_1 # m8_8None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [15, 25, 16, 24], [17, 20, 18, 21], [19, 14, 20, 15], [21, 13, 22, 28], [23, 27, 24, 26], [25, 17, 26, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_9m3_1 # m3_1 # 8_9m3_1 # m3_1 # 8_9None14truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 19, 13], [26, 20, 27, 19], [22, 15, 23, 16], [14, 25, 15, 26], [24, 17, 25, 18], [16, 23, 17, 24], [28, 22, 13, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_10m3_1 # m3_1 # 8_10m3_1 # m3_1 # 8_10None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 26, 15, 25], [16, 21, 17, 22], [18, 23, 19, 24], [20, 27, 21, 28], [22, 17, 23, 18], [24, 14, 25, 13], [26, 19, 27, 20], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_10m3_1 # m3_1 # m8_10m3_1 # m3_1 # m8_10None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 25, 15, 26], [16, 22, 17, 21], [18, 24, 19, 23], [20, 28, 21, 27], [22, 18, 23, 17], [24, 13, 25, 14], [26, 20, 27, 19], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_11m3_1 # m3_1 # 8_11m3_1 # m3_1 # 8_11None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 19, 26, 18], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_11m3_1 # m3_1 # m8_11m3_1 # m3_1 # m8_11None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 18, 26, 19], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_12m3_1 # m3_1 # 8_12m3_1 # m3_1 # 8_12None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 17, 13], [22, 20, 23, 19], [20, 15, 21, 16], [14, 21, 15, 22], [26, 18, 27, 17], [28, 23, 13, 24], [24, 27, 25, 28], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_13m3_1 # m3_1 # 8_13m3_1 # m3_1 # 8_13None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 21, 14, 20], [15, 26, 16, 27], [17, 24, 18, 25], [19, 23, 20, 22], [21, 15, 22, 14], [23, 28, 24, 13], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_13m3_1 # m3_1 # m8_13m3_1 # m3_1 # m8_13None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 14, 21], [15, 27, 16, 26], [17, 25, 18, 24], [19, 22, 20, 23], [21, 14, 22, 15], [23, 13, 24, 28], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_14m3_1 # m3_1 # 8_14m3_1 # m3_1 # 8_14None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 24, 15, 23], [16, 20, 17, 19], [18, 27, 19, 28], [20, 26, 21, 25], [22, 14, 23, 13], [24, 22, 25, 21], [26, 16, 27, 15], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_14m3_1 # m3_1 # m8_14m3_1 # m3_1 # m8_14None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 23, 15, 24], [16, 19, 17, 20], [18, 28, 19, 27], [20, 25, 21, 26], [22, 13, 23, 14], [24, 21, 25, 22], [26, 15, 27, 16], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_15m3_1 # m3_1 # 8_15m3_1 # m3_1 # 8_15None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [15, 27, 16, 26], [17, 21, 18, 20], [19, 15, 20, 14], [21, 25, 22, 24], [23, 13, 24, 28], [25, 17, 26, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_15m3_1 # m3_1 # m8_15m3_1 # m3_1 # m8_15None14truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [15, 26, 16, 27], [17, 20, 18, 21], [19, 14, 20, 15], [21, 24, 22, 25], [23, 28, 24, 13], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_16m3_1 # m3_1 # 8_16m3_1 # m3_1 # 8_16None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 15, 20], [16, 22, 17, 21], [18, 13, 19, 14], [20, 26, 21, 25], [22, 27, 23, 28], [24, 18, 25, 17], [26, 15, 27, 16], [28, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_16m3_1 # m3_1 # m8_16m3_1 # m3_1 # m8_16None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 15, 19], [16, 21, 17, 22], [18, 14, 19, 13], [20, 25, 21, 26], [22, 28, 23, 27], [24, 17, 25, 18], [26, 16, 27, 15], [28, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_17m3_1 # m3_1 # 8_17m3_1 # m3_1 # 8_17None14truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 19, 13], [26, 20, 27, 19], [20, 15, 21, 16], [14, 25, 15, 26], [24, 17, 25, 18], [16, 21, 17, 22], [28, 24, 13, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # m3_1 # r8_17m3_1 # m3_1 # r8_17m3_1 # m3_1 # r8_17None14truecomposite1[[19, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 13, 18, 14], [27, 19, 26, 20], [21, 16, 20, 15], [15, 26, 14, 25], [25, 18, 24, 17], [17, 22, 16, 21], [13, 23, 28, 24], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m3_1 # 8_18m3_1 # m3_1 # 8_18m3_1 # m3_1 # 8_18None14truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 19, 13], [20, 15, 21, 16], [28, 23, 13, 24], [14, 26, 15, 25], [16, 27, 17, 28], [22, 18, 23, 17], [24, 19, 25, 20], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_19m3_1 # m3_1 # 8_19m3_1 # m3_1 # 8_19NoneNonefalsecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 26, 15, 25], [17, 23, 18, 22], [19, 27, 20, 26], [21, 17, 22, 16], [23, 19, 24, 18], [24, 14, 25, 13], [27, 21, 28, 20], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_19m3_1 # m3_1 # m8_19m3_1 # m3_1 # m8_19NoneNonefalsecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 25, 15, 26], [17, 22, 18, 23], [19, 26, 20, 27], [21, 16, 22, 17], [23, 18, 24, 19], [24, 13, 25, 14], [27, 20, 28, 21], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_20m3_1 # m3_1 # 8_20m3_1 # m3_1 # 8_20NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [16, 25, 17, 26], [17, 21, 18, 20], [19, 15, 20, 14], [22, 27, 23, 28], [24, 21, 25, 22], [26, 15, 27, 16], [28, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_20m3_1 # m3_1 # m8_20m3_1 # m3_1 # m8_20NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [16, 26, 17, 25], [17, 20, 18, 21], [19, 14, 20, 15], [22, 28, 23, 27], [24, 22, 25, 21], [26, 16, 27, 15], [28, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 8_21m3_1 # m3_1 # 8_21m3_1 # m3_1 # 8_21NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [16, 25, 17, 26], [17, 21, 18, 20], [19, 15, 20, 14], [21, 25, 22, 24], [23, 13, 24, 28], [26, 15, 27, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m8_21m3_1 # m3_1 # m8_21m3_1 # m3_1 # m8_21NoneNonefalsecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [16, 26, 17, 25], [17, 20, 18, 21], [19, 14, 20, 15], [21, 24, 22, 25], [23, 28, 24, 13], [26, 16, 27, 15], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_1m3_1 # 4_1 # 7_1m3_1 # 4_1 # 7_1None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 23, 16, 22], [17, 25, 18, 24], [19, 27, 20, 26], [21, 15, 22, 28], [23, 17, 24, 16], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_1m3_1 # 4_1 # m7_1m3_1 # 4_1 # m7_1None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 22, 16, 23], [17, 24, 18, 25], [19, 26, 20, 27], [21, 28, 22, 15], [23, 16, 24, 17], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_2m3_1 # 4_1 # 7_2m3_1 # 4_1 # 7_2None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 24, 17, 23], [18, 28, 19, 27], [20, 26, 21, 25], [22, 16, 23, 15], [24, 22, 25, 21], [26, 20, 27, 19], [28, 18, 15, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_2m3_1 # 4_1 # m7_2m3_1 # 4_1 # m7_2None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 23, 17, 24], [18, 27, 19, 28], [20, 25, 21, 26], [22, 15, 23, 16], [24, 21, 25, 22], [26, 19, 27, 20], [28, 17, 15, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_3m3_1 # 4_1 # 7_3m3_1 # 4_1 # 7_3None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 23, 16, 22], [17, 25, 18, 24], [19, 15, 20, 28], [21, 27, 22, 26], [23, 17, 24, 16], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_3m3_1 # 4_1 # m7_3m3_1 # 4_1 # m7_3None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 22, 16, 23], [17, 24, 18, 25], [19, 28, 20, 15], [21, 26, 22, 27], [23, 16, 24, 17], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_4m3_1 # 4_1 # 7_4m3_1 # 4_1 # 7_4None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 24, 17, 23], [18, 26, 19, 25], [20, 28, 21, 27], [22, 18, 23, 17], [24, 16, 25, 15], [26, 22, 27, 21], [28, 20, 15, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_4m3_1 # 4_1 # m7_4m3_1 # 4_1 # m7_4None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 23, 17, 24], [18, 25, 19, 26], [20, 27, 21, 28], [22, 17, 23, 18], [24, 15, 25, 16], [26, 21, 27, 22], [28, 19, 15, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_5m3_1 # 4_1 # 7_5m3_1 # 4_1 # 7_5None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 24, 17, 23], [18, 16, 19, 15], [20, 28, 21, 27], [22, 26, 23, 25], [24, 18, 25, 17], [26, 20, 27, 19], [28, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_5m3_1 # 4_1 # m7_5m3_1 # 4_1 # m7_5None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 23, 17, 24], [18, 15, 19, 16], [20, 27, 21, 28], [22, 25, 23, 26], [24, 17, 25, 18], [26, 19, 27, 20], [28, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_6m3_1 # 4_1 # 7_6m3_1 # 4_1 # 7_6None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 27, 16, 26], [17, 23, 18, 22], [19, 15, 20, 28], [21, 24, 22, 25], [23, 17, 24, 16], [25, 20, 26, 21], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_6m3_1 # 4_1 # m7_6m3_1 # 4_1 # m7_6None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 26, 16, 27], [17, 22, 18, 23], [19, 28, 20, 15], [21, 25, 22, 24], [23, 16, 24, 17], [25, 21, 26, 20], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 7_7m3_1 # 4_1 # 7_7m3_1 # 4_1 # 7_7None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 24, 16, 25], [17, 27, 18, 26], [19, 28, 20, 15], [21, 19, 22, 18], [23, 16, 24, 17], [25, 23, 26, 22], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # m7_7m3_1 # 4_1 # m7_7m3_1 # 4_1 # m7_7None14truecomposite1[[15, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 25, 16, 24], [17, 26, 18, 27], [19, 15, 20, 28], [21, 18, 22, 19], [23, 17, 24, 16], [25, 22, 26, 23], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 5_1 # 6_1m3_1 # 5_1 # 6_1m3_1 # 5_1 # 6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11], [8, 23, 18, 22], [19, 26, 20, 27], [21, 19, 22, 18], [23, 17, 24, 28], [25, 20, 26, 21], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 5_1 # m6_1m3_1 # 5_1 # m6_1m3_1 # 5_1 # m6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11], [8, 22, 18, 23], [19, 27, 20, 26], [21, 18, 22, 19], [23, 28, 24, 17], [25, 21, 26, 20], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 5_1 # 6_2m3_1 # 5_1 # 6_2m3_1 # 5_1 # 6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 5_1 # m6_2m3_1 # 5_1 # m6_2m3_1 # 5_1 # m6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 5_1 # 6_3m3_1 # 5_1 # 6_3m3_1 # 5_1 # 6_3None14truecomposite1[[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_1 # 6_1m3_1 # m5_1 # 6_1m3_1 # m5_1 # 6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12], [8, 23, 18, 22], [19, 26, 20, 27], [21, 19, 22, 18], [23, 17, 24, 28], [25, 20, 26, 21], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_1 # m6_1m3_1 # m5_1 # m6_1m3_1 # m5_1 # m6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12], [8, 22, 18, 23], [19, 27, 20, 26], [21, 18, 22, 19], [23, 28, 24, 17], [25, 21, 26, 20], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m5_1 # 6_2m3_1 # m5_1 # 6_2m3_1 # m5_1 # 6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_1 # m6_2m3_1 # m5_1 # m6_2m3_1 # m5_1 # m6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m5_1 # 6_3m3_1 # m5_1 # 6_3m3_1 # m5_1 # 6_3None14truecomposite1[[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12], [8, 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":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 5_2 # 6_1m3_1 # 5_2 # 6_1m3_1 # 5_2 # 6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12], [7, 23, 18, 22], [19, 26, 20, 27], [21, 19, 22, 18], [23, 17, 24, 28], [25, 20, 26, 21], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 5_2 # m6_1m3_1 # 5_2 # m6_1m3_1 # 5_2 # m6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12], [7, 22, 18, 23], [19, 27, 20, 26], [21, 18, 22, 19], [23, 28, 24, 17], [25, 21, 26, 20], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 5_2 # 6_2m3_1 # 5_2 # 6_2m3_1 # 5_2 # 6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12], [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":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 5_2 # m6_2m3_1 # 5_2 # m6_2m3_1 # 5_2 # m6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12], [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":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 5_2 # 6_3m3_1 # 5_2 # 6_3m3_1 # 5_2 # 6_3None14truecomposite1[[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12], [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":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_2 # 6_1m3_1 # m5_2 # 6_1m3_1 # m5_2 # 6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 23, 18, 22], [19, 26, 20, 27], [21, 19, 22, 18], [23, 17, 24, 28], [25, 20, 26, 21], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_2 # m6_1m3_1 # m5_2 # m6_1m3_1 # m5_2 # m6_1None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 22, 18, 23], [19, 27, 20, 26], [21, 18, 22, 19], [23, 28, 24, 17], [25, 21, 26, 20], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m5_2 # 6_2m3_1 # m5_2 # 6_2m3_1 # m5_2 # 6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m5_2 # m6_2m3_1 # m5_2 # m6_2m3_1 # m5_2 # m6_2None14truecomposite1[[17, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m5_2 # 6_3m3_1 # m5_2 # 6_3m3_1 # m5_2 # 6_3None14truecomposite1[[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 11a_1m3_1 # 11a_1m3_1 # 11a_1None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_1m3_1 # m11a_1m3_1 # m11a_1None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_2m3_1 # 11a_2m3_1 # 11a_2None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_2","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_2m3_1 # r11a_2m3_1 # r11a_2None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_2","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_2m3_1 # m11a_2m3_1 # m11a_2None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_2","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_2m3_1 # mr11a_2m3_1 # mr11a_2None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_2","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_3m3_1 # 11a_3m3_1 # 11a_3None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_3","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_3m3_1 # r11a_3m3_1 # r11a_3None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_3","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_3m3_1 # m11a_3m3_1 # m11a_3None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_3","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_3m3_1 # mr11a_3m3_1 # mr11a_3None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_3","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_4m3_1 # 11a_4m3_1 # 11a_4None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_4","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_4m3_1 # m11a_4m3_1 # m11a_4None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_4","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_5m3_1 # 11a_5m3_1 # 11a_5None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_5","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_5m3_1 # m11a_5m3_1 # m11a_5None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_5","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_6m3_1 # 11a_6m3_1 # 11a_6None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_6","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_6m3_1 # m11a_6m3_1 # m11a_6None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_6","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_7m3_1 # 11a_7m3_1 # 11a_7None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_7","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_7m3_1 # m11a_7m3_1 # m11a_7None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_7","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_8m3_1 # 11a_8m3_1 # 11a_8None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_8","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_8m3_1 # m11a_8m3_1 # m11a_8None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_8","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_9m3_1 # 11a_9m3_1 # 11a_9None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_9","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_9m3_1 # m11a_9m3_1 # m11a_9None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_9","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_10m3_1 # 11a_10m3_1 # 11a_10None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_10","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_10m3_1 # m11a_10m3_1 # m11a_10None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_10","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_11m3_1 # 11a_11m3_1 # 11a_11None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_11","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_11m3_1 # m11a_11m3_1 # m11a_11None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_11","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_12m3_1 # 11a_12m3_1 # 11a_12None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_12","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_12m3_1 # m11a_12m3_1 # m11a_12None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_12","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_13m3_1 # 11a_13m3_1 # 11a_13None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_13","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_13m3_1 # m11a_13m3_1 # m11a_13None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_13","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_14m3_1 # 11a_14m3_1 # 11a_14None14truecomposite1[[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], [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":true,"reverse":false},{"knot_id":"11a_14","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_14m3_1 # m11a_14m3_1 # m11a_14None14truecomposite1[[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], [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":"11a_14","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_15m3_1 # 11a_15m3_1 # 11a_15None14truecomposite1[[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], [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":"11a_15","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_15m3_1 # r11a_15m3_1 # r11a_15None14truecomposite1[[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], [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":"11a_15","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_15m3_1 # m11a_15m3_1 # m11a_15None14truecomposite1[[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], [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":"11a_15","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_15m3_1 # mr11a_15m3_1 # mr11a_15None14truecomposite1[[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], [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":"11a_15","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11a_16m3_1 # 11a_16m3_1 # 11a_16None14truecomposite1[[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], [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":"11a_16","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_16m3_1 # m11a_16m3_1 # m11a_16None14truecomposite1[[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], [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":"11a_16","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_17m3_1 # 11a_17m3_1 # 11a_17None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_17","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11a_17m3_1 # r11a_17m3_1 # r11a_17None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_17","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11a_17m3_1 # m11a_17m3_1 # m11a_17None14truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_17","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11a_17m3_1 # mr11a_17m3_1 # mr11a_17None14truecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"11a_17","mirror":true,"reverse":true}]falsefalsechiral[]