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 # 3_1 # m8_73_1 # 3_1 # m8_73_1 # 3_1 # m8_7None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_83_1 # 3_1 # 8_83_1 # 3_1 # 8_8None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_83_1 # 3_1 # m8_83_1 # 3_1 # m8_8None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_93_1 # 3_1 # 8_93_1 # 3_1 # 8_9None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_103_1 # 3_1 # 8_103_1 # 3_1 # 8_10None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_103_1 # 3_1 # m8_103_1 # 3_1 # m8_10None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_113_1 # 3_1 # 8_113_1 # 3_1 # 8_11None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_113_1 # 3_1 # m8_113_1 # 3_1 # m8_11None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_123_1 # 3_1 # 8_123_1 # 3_1 # 8_12None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_133_1 # 3_1 # 8_133_1 # 3_1 # 8_13None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_133_1 # 3_1 # m8_133_1 # 3_1 # m8_13None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_143_1 # 3_1 # 8_143_1 # 3_1 # 8_14None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_143_1 # 3_1 # m8_143_1 # 3_1 # m8_14None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_153_1 # 3_1 # 8_153_1 # 3_1 # 8_15None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_153_1 # 3_1 # m8_153_1 # 3_1 # m8_15None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_163_1 # 3_1 # 8_163_1 # 3_1 # 8_16None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_163_1 # 3_1 # m8_163_1 # 3_1 # m8_16None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_173_1 # 3_1 # 8_173_1 # 3_1 # 8_17None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # 3_1 # r8_173_1 # 3_1 # r8_173_1 # 3_1 # r8_17None14truecomposite1[[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # 3_1 # 8_183_1 # 3_1 # 8_183_1 # 3_1 # 8_18None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_193_1 # 3_1 # 8_193_1 # 3_1 # 8_19NoneNonefalsecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_193_1 # 3_1 # m8_193_1 # 3_1 # m8_19NoneNonefalsecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_203_1 # 3_1 # 8_203_1 # 3_1 # 8_20NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_203_1 # 3_1 # m8_203_1 # 3_1 # m8_20NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 8_213_1 # 3_1 # 8_213_1 # 3_1 # 8_21NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m8_213_1 # 3_1 # m8_213_1 # 3_1 # m8_21NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [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":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m3_1 # 5_13_1 # m3_1 # m3_1 # 5_13_1 # m3_1 # m3_1 # 5_1None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 26, 21, 25], [22, 28, 23, 27], [24, 20, 25, 19], [26, 22, 27, 21], [28, 24, 19, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m3_1 # m5_13_1 # m3_1 # m3_1 # m5_13_1 # m3_1 # m3_1 # m5_1None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 25, 21, 26], [22, 27, 23, 28], [24, 19, 25, 20], [26, 21, 27, 22], [28, 23, 19, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m3_1 # 5_23_1 # m3_1 # m3_1 # 5_23_1 # m3_1 # m3_1 # 5_2None14truecomposite1[[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 23, 20, 22], [21, 27, 22, 26], [23, 19, 24, 28], [25, 21, 26, 20], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m3_1 # m5_23_1 # m3_1 # m3_1 # m5_23_1 # m3_1 # m3_1 # m5_2None14truecomposite1[[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 4_1 # 4_13_1 # m3_1 # 4_1 # 4_13_1 # m3_1 # 4_1 # 4_1None14truecomposite1[[24, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 17, 13], [20, 18, 13, 17], [18, 15, 19, 16], [14, 19, 15, 20], [16, 22, 25, 21], [28, 26, 21, 25], [26, 23, 27, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}]truetruefully amphicheiral[]
3_1 # m3_1 # 8_13_1 # m3_1 # 8_13_1 # m3_1 # 8_1None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_13_1 # m3_1 # m8_13_1 # m3_1 # m8_1None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_23_1 # m3_1 # 8_23_1 # m3_1 # 8_2None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_23_1 # m3_1 # m8_23_1 # m3_1 # m8_2None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_33_1 # m3_1 # 8_33_1 # m3_1 # 8_3None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]truetruefully amphicheiral[]
3_1 # m3_1 # 8_43_1 # m3_1 # 8_43_1 # m3_1 # 8_4None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_43_1 # m3_1 # m8_43_1 # m3_1 # m8_4None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_53_1 # m3_1 # 8_53_1 # m3_1 # 8_5None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_53_1 # m3_1 # m8_53_1 # m3_1 # m8_5None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_63_1 # m3_1 # 8_63_1 # m3_1 # 8_6None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_63_1 # m3_1 # m8_63_1 # m3_1 # m8_6None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_73_1 # m3_1 # 8_73_1 # m3_1 # 8_7None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_73_1 # m3_1 # m8_73_1 # m3_1 # m8_7None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_83_1 # m3_1 # 8_83_1 # m3_1 # 8_8None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 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":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_83_1 # m3_1 # m8_83_1 # m3_1 # m8_8None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_93_1 # m3_1 # 8_93_1 # m3_1 # 8_9None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]truetruefully amphicheiral[]
3_1 # m3_1 # 8_103_1 # m3_1 # 8_103_1 # m3_1 # 8_10None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_103_1 # m3_1 # m8_103_1 # m3_1 # m8_10None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_113_1 # m3_1 # 8_113_1 # m3_1 # 8_11None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_113_1 # m3_1 # m8_113_1 # m3_1 # m8_11None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_123_1 # m3_1 # 8_123_1 # m3_1 # 8_12None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]truetruefully amphicheiral[]
3_1 # m3_1 # 8_133_1 # m3_1 # 8_133_1 # m3_1 # 8_13None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_133_1 # m3_1 # m8_133_1 # m3_1 # m8_13None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_143_1 # m3_1 # 8_143_1 # m3_1 # 8_14None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_143_1 # m3_1 # m8_143_1 # m3_1 # m8_14None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_153_1 # m3_1 # 8_153_1 # m3_1 # 8_15None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_153_1 # m3_1 # m8_153_1 # m3_1 # m8_15None14truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_163_1 # m3_1 # 8_163_1 # m3_1 # 8_16None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_163_1 # m3_1 # m8_163_1 # m3_1 # m8_16None14truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_173_1 # m3_1 # 8_173_1 # m3_1 # 8_17None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
3_1 # m3_1 # r8_173_1 # m3_1 # r8_173_1 # m3_1 # r8_17None14truecomposite1[[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
3_1 # m3_1 # 8_183_1 # m3_1 # 8_183_1 # m3_1 # 8_18None14truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]truetruefully amphicheiral[]
3_1 # m3_1 # 8_193_1 # m3_1 # 8_193_1 # m3_1 # 8_19NoneNonefalsecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_193_1 # m3_1 # m8_193_1 # m3_1 # m8_19NoneNonefalsecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_203_1 # m3_1 # 8_203_1 # m3_1 # 8_20NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_203_1 # m3_1 # m8_203_1 # m3_1 # m8_20NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 8_213_1 # m3_1 # 8_213_1 # m3_1 # 8_21NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m8_213_1 # m3_1 # m8_213_1 # m3_1 # m8_21NoneNonefalsecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_13_1 # 4_1 # 7_13_1 # 4_1 # 7_1None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_13_1 # 4_1 # m7_13_1 # 4_1 # m7_1None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_23_1 # 4_1 # 7_23_1 # 4_1 # 7_2None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_23_1 # 4_1 # m7_23_1 # 4_1 # m7_2None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_33_1 # 4_1 # 7_33_1 # 4_1 # 7_3None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_33_1 # 4_1 # m7_33_1 # 4_1 # m7_3None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_43_1 # 4_1 # 7_43_1 # 4_1 # 7_4None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_43_1 # 4_1 # m7_43_1 # 4_1 # m7_4None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_53_1 # 4_1 # 7_53_1 # 4_1 # 7_5None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_53_1 # 4_1 # m7_53_1 # 4_1 # m7_5None14truecomposite1[[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_63_1 # 4_1 # 7_63_1 # 4_1 # 7_6None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_63_1 # 4_1 # m7_63_1 # 4_1 # m7_6None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 7_73_1 # 4_1 # 7_73_1 # 4_1 # 7_7None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # m7_73_1 # 4_1 # m7_73_1 # 4_1 # m7_7None14truecomposite1[[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 5_1 # 6_13_1 # 5_1 # 6_13_1 # 5_1 # 6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 5_1 # m6_13_1 # 5_1 # m6_13_1 # 5_1 # m6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 5_1 # 6_23_1 # 5_1 # 6_23_1 # 5_1 # 6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 5_1 # m6_23_1 # 5_1 # m6_23_1 # 5_1 # m6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 5_1 # 6_33_1 # 5_1 # 6_33_1 # 5_1 # 6_3None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_1 # 6_13_1 # m5_1 # 6_13_1 # m5_1 # 6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_1 # m6_13_1 # m5_1 # m6_13_1 # m5_1 # m6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m5_1 # 6_23_1 # m5_1 # 6_23_1 # m5_1 # 6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_1 # m6_23_1 # m5_1 # m6_23_1 # m5_1 # m6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m5_1 # 6_33_1 # m5_1 # 6_33_1 # m5_1 # 6_3None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 5_2 # 6_13_1 # 5_2 # 6_13_1 # 5_2 # 6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 5_2 # m6_13_1 # 5_2 # m6_13_1 # 5_2 # m6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 5_2 # 6_23_1 # 5_2 # 6_23_1 # 5_2 # 6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 5_2 # m6_23_1 # 5_2 # m6_23_1 # 5_2 # m6_2None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 5_2 # 6_33_1 # 5_2 # 6_33_1 # 5_2 # 6_3None14truecomposite1[[20, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_2 # 6_13_1 # m5_2 # 6_13_1 # m5_2 # 6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 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":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m5_2 # m6_13_1 # m5_2 # m6_13_1 # m5_2 # m6_1None14truecomposite1[[17, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13], [7, 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":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}]falsetruereversible[]