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
m6_1 # m8_15m6_1 # m8_15m6_1 # m8_15None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_16m6_1 # 8_16m6_1 # 8_16None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_16m6_1 # m8_16m6_1 # m8_16None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_17m6_1 # 8_17m6_1 # 8_17None14truecomposite1[[18, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
m6_1 # r8_17m6_1 # r8_17m6_1 # r8_17None14truecomposite1[[19, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
m6_1 # 8_18m6_1 # 8_18m6_1 # 8_18None14truecomposite1[[18, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # 8_19m6_1 # 8_19m6_1 # 8_19NoneNonefalsecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_19m6_1 # m8_19m6_1 # m8_19NoneNonefalsecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_20m6_1 # 8_20m6_1 # 8_20NoneNonefalsecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_20m6_1 # m8_20m6_1 # m8_20NoneNonefalsecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_21m6_1 # 8_21m6_1 # 8_21NoneNonefalsecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_21m6_1 # m8_21m6_1 # m8_21NoneNonefalsecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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":"6_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_16_2 # 8_16_2 # 8_1None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_16_2 # m8_16_2 # m8_1None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_26_2 # 8_26_2 # 8_2None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_26_2 # m8_26_2 # m8_2None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_36_2 # 8_36_2 # 8_3None14truecomposite1[[18, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # 8_46_2 # 8_46_2 # 8_4None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_46_2 # m8_46_2 # m8_4None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_56_2 # 8_56_2 # 8_5None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_56_2 # m8_56_2 # m8_5None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_66_2 # 8_66_2 # 8_6None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_66_2 # m8_66_2 # m8_6None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_76_2 # 8_76_2 # 8_7None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_76_2 # m8_76_2 # m8_7None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 22, 15, 21], [16, 25, 17, 26], [18, 28, 19, 27], [20, 14, 21, 13], [22, 18, 23, 17], [24, 15, 25, 16], [26, 23, 27, 24], [28, 20, 13, 19]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_86_2 # 8_86_2 # 8_8None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 19, 14, 18], [15, 24, 16, 25], [17, 21, 18, 20], [19, 15, 20, 14], [21, 28, 22, 13], [23, 26, 24, 27], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_86_2 # m8_86_2 # m8_8None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_96_2 # 8_96_2 # 8_9None14truecomposite1[[18, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # 8_106_2 # 8_106_2 # 8_10None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_106_2 # m8_106_2 # m8_10None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_116_2 # 8_116_2 # 8_11None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_116_2 # m8_116_2 # m8_11None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_126_2 # 8_126_2 # 8_12None14truecomposite1[[16, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # 8_136_2 # 8_136_2 # 8_13None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_136_2 # m8_136_2 # m8_13None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_146_2 # 8_146_2 # 8_14None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_146_2 # m8_146_2 # m8_14None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_156_2 # 8_156_2 # 8_15None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_156_2 # m8_156_2 # m8_15None14truecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_166_2 # 8_166_2 # 8_16None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_166_2 # m8_166_2 # m8_16None14truecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_176_2 # 8_176_2 # 8_17None14truecomposite1[[18, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
6_2 # r8_176_2 # r8_176_2 # r8_17None14truecomposite1[[19, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
6_2 # 8_186_2 # 8_186_2 # 8_18None14truecomposite1[[18, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # 8_196_2 # 8_196_2 # 8_19NoneNonefalsecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_196_2 # m8_196_2 # m8_19NoneNonefalsecomposite1[[14, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_206_2 # 8_206_2 # 8_20NoneNonefalsecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_206_2 # m8_206_2 # m8_20NoneNonefalsecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
6_2 # 8_216_2 # 8_216_2 # 8_21NoneNonefalsecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
6_2 # m8_216_2 # m8_216_2 # m8_21NoneNonefalsecomposite1[[13, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4], [1, 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":"6_2","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_1m6_2 # 8_1m6_2 # 8_1None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_1m6_2 # m8_1m6_2 # m8_1None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_2m6_2 # 8_2m6_2 # 8_2None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_2m6_2 # m8_2m6_2 # m8_2None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_3m6_2 # 8_3m6_2 # 8_3None14truecomposite1[[18, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # 8_4m6_2 # 8_4m6_2 # 8_4None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_4m6_2 # m8_4m6_2 # m8_4None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_5m6_2 # 8_5m6_2 # 8_5None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_5m6_2 # m8_5m6_2 # m8_5None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_6m6_2 # 8_6m6_2 # 8_6None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_6m6_2 # m8_6m6_2 # m8_6None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_7m6_2 # 8_7m6_2 # 8_7None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_7m6_2 # m8_7m6_2 # m8_7None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 22, 15, 21], [16, 25, 17, 26], [18, 28, 19, 27], [20, 14, 21, 13], [22, 18, 23, 17], [24, 15, 25, 16], [26, 23, 27, 24], [28, 20, 13, 19]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_8m6_2 # 8_8m6_2 # 8_8None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 19, 14, 18], [15, 24, 16, 25], [17, 21, 18, 20], [19, 15, 20, 14], [21, 28, 22, 13], [23, 26, 24, 27], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_2","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_8m6_2 # m8_8m6_2 # m8_8None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_9m6_2 # 8_9m6_2 # 8_9None14truecomposite1[[18, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # 8_10m6_2 # 8_10m6_2 # 8_10None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_10m6_2 # m8_10m6_2 # m8_10None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_11m6_2 # 8_11m6_2 # 8_11None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_11m6_2 # m8_11m6_2 # m8_11None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_12m6_2 # 8_12m6_2 # 8_12None14truecomposite1[[16, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # 8_13m6_2 # 8_13m6_2 # 8_13None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_13m6_2 # m8_13m6_2 # m8_13None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_14m6_2 # 8_14m6_2 # 8_14None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_14m6_2 # m8_14m6_2 # m8_14None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_15m6_2 # 8_15m6_2 # 8_15None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_15m6_2 # m8_15m6_2 # m8_15None14truecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_16m6_2 # 8_16m6_2 # 8_16None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_16m6_2 # m8_16m6_2 # m8_16None14truecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_17m6_2 # 8_17m6_2 # 8_17None14truecomposite1[[18, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
m6_2 # r8_17m6_2 # r8_17m6_2 # r8_17None14truecomposite1[[19, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
m6_2 # 8_18m6_2 # 8_18m6_2 # 8_18None14truecomposite1[[18, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # 8_19m6_2 # 8_19m6_2 # 8_19NoneNonefalsecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_19m6_2 # m8_19m6_2 # m8_19NoneNonefalsecomposite1[[14, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_20m6_2 # 8_20m6_2 # 8_20NoneNonefalsecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_20m6_2 # m8_20m6_2 # m8_20NoneNonefalsecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
m6_2 # 8_21m6_2 # 8_21m6_2 # 8_21NoneNonefalsecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
m6_2 # m8_21m6_2 # m8_21m6_2 # m8_21NoneNonefalsecomposite1[[13, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5], [1, 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":"6_2","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_16_3 # 8_16_3 # 8_1None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_16_3 # m8_16_3 # m8_1None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_26_3 # 8_26_3 # 8_2None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_26_3 # m8_26_3 # m8_2None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_36_3 # 8_36_3 # 8_3None14truecomposite1[[18, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]truetruefully amphicheiral[]
6_3 # 8_46_3 # 8_46_3 # 8_4None14truecomposite1[[14, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_46_3 # m8_46_3 # m8_4None14truecomposite1[[14, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_56_3 # 8_56_3 # 8_5None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_56_3 # m8_56_3 # m8_5None14truecomposite1[[13, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_66_3 # 8_66_3 # 8_6None14truecomposite1[[14, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_66_3 # m8_66_3 # m8_6None14truecomposite1[[14, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_76_3 # 8_76_3 # 8_7None14truecomposite1[[14, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]