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
6_3 # m8_76_3 # m8_76_3 # m8_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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_86_3 # 8_86_3 # 8_8None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_86_3 # m8_86_3 # m8_8None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_96_3 # 8_96_3 # 8_9None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]truetruefully amphicheiral[]
6_3 # 8_106_3 # 8_106_3 # 8_10None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_106_3 # m8_106_3 # m8_10None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_116_3 # 8_116_3 # 8_11None14truecomposite1[[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, 19, 26, 18], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_116_3 # m8_116_3 # m8_11None14truecomposite1[[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, 18, 26, 19], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"6_3","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_126_3 # 8_126_3 # 8_12None14truecomposite1[[16, 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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]truetruefully amphicheiral[]
6_3 # 8_136_3 # 8_136_3 # 8_13None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_136_3 # m8_136_3 # m8_13None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_146_3 # 8_146_3 # 8_14None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_146_3 # m8_146_3 # m8_14None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_156_3 # 8_156_3 # 8_15None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_156_3 # m8_156_3 # m8_15None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_166_3 # 8_166_3 # 8_16None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_166_3 # m8_166_3 # m8_16None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_176_3 # 8_176_3 # 8_17None14truecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
6_3 # r8_176_3 # r8_176_3 # r8_17None14truecomposite1[[19, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7], [4, 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_3","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
6_3 # 8_186_3 # 8_186_3 # 8_18None14truecomposite1[[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], [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_3","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]truetruefully amphicheiral[]
6_3 # 8_196_3 # 8_196_3 # 8_19NoneNonefalsecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_196_3 # m8_196_3 # m8_19NoneNonefalsecomposite1[[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, 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_3","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_206_3 # 8_206_3 # 8_20NoneNonefalsecomposite1[[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], [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_3","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_206_3 # m8_206_3 # m8_20NoneNonefalsecomposite1[[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], [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_3","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
6_3 # 8_216_3 # 8_216_3 # 8_21NoneNonefalsecomposite1[[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], [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_3","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
6_3 # m8_216_3 # m8_216_3 # m8_21NoneNonefalsecomposite1[[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], [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_3","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_17_1 # 7_17_1 # 7_1None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_17_1 # m7_17_1 # m7_1None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]truetruefully amphicheiral[]
7_1 # 7_27_1 # 7_27_1 # 7_2None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_27_1 # m7_27_1 # m7_2None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_37_1 # 7_37_1 # 7_3None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_37_1 # m7_37_1 # m7_3None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_47_1 # 7_47_1 # 7_4None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_47_1 # m7_47_1 # m7_4None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_57_1 # 7_57_1 # 7_5None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_57_1 # m7_57_1 # m7_5None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_67_1 # 7_67_1 # 7_6None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_67_1 # m7_67_1 # m7_6None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_1 # 7_77_1 # 7_77_1 # 7_7None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":false,"reverse":false}]falsetruereversible[]
7_1 # m7_77_1 # m7_77_1 # m7_7None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_1","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_1m7_1 # m7_1m7_1 # m7_1None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # m7_17_2 # m7_17_2 # m7_1None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_2m7_1 # m7_2m7_1 # m7_2None14truecomposite1[[16, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # m7_17_3 # m7_17_3 # m7_1None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_3m7_1 # m7_3m7_1 # m7_3None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
7_4 # m7_17_4 # m7_17_4 # m7_1None14truecomposite1[[15, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_4m7_1 # m7_4m7_1 # m7_4None14truecomposite1[[16, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_5 # m7_17_5 # m7_17_5 # m7_1None14truecomposite1[[15, 10, 3, 9], [4, 2, 5, 1], [6, 14, 7, 13], [8, 12, 9, 11], [10, 4, 11, 3], [12, 6, 13, 5], [14, 8, 1, 7], [2, 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":"7_5","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_5m7_1 # m7_5m7_1 # m7_5None14truecomposite1[[16, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_6 # m7_17_6 # m7_17_6 # m7_1None14truecomposite1[[15, 13, 2, 12], [3, 9, 4, 8], [5, 1, 6, 14], [7, 10, 8, 11], [9, 3, 10, 2], [11, 6, 12, 7], [13, 5, 14, 4], [1, 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":"7_6","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_6m7_1 # m7_6m7_1 # m7_6None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_7 # m7_17_7 # m7_17_7 # m7_1None14truecomposite1[[15, 10, 2, 11], [3, 13, 4, 12], [5, 14, 6, 1], [7, 5, 8, 4], [9, 2, 10, 3], [11, 9, 12, 8], [13, 6, 14, 7], [1, 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":"7_7","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}]falsetruereversible[]
m7_1 # m7_7m7_1 # m7_7m7_1 # m7_7None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_1","mirror":true,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # 7_27_2 # 7_27_2 # 7_2None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_27_2 # m7_27_2 # m7_2None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]truetruefully amphicheiral[]
7_2 # 7_37_2 # 7_37_2 # 7_3None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_37_2 # m7_37_2 # m7_3None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # 7_47_2 # 7_47_2 # 7_4None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_47_2 # m7_47_2 # m7_4None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # 7_57_2 # 7_57_2 # 7_5None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_57_2 # m7_57_2 # m7_5None14truecomposite1[[16, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # 7_67_2 # 7_67_2 # 7_6None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_67_2 # m7_67_2 # m7_6None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_2 # 7_77_2 # 7_77_2 # 7_7None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":false,"reverse":false}]falsetruereversible[]
7_2 # m7_77_2 # m7_77_2 # m7_7None14truecomposite1[[15, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3], [2, 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":"7_2","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_2m7_2 # m7_2m7_2 # m7_2None14truecomposite1[[16, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # m7_27_3 # m7_27_3 # m7_2None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_3m7_2 # m7_3m7_2 # m7_3None14truecomposite1[[15, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
7_4 # m7_27_4 # m7_27_4 # m7_2None14truecomposite1[[16, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_4m7_2 # m7_4m7_2 # m7_4None14truecomposite1[[16, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_5 # m7_27_5 # m7_27_5 # m7_2None14truecomposite1[[16, 10, 3, 9], [4, 2, 5, 1], [6, 14, 7, 13], [8, 12, 9, 11], [10, 4, 11, 3], [12, 6, 13, 5], [14, 8, 1, 7], [2, 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":"7_5","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_5m7_2 # m7_5m7_2 # m7_5None14truecomposite1[[16, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_6 # m7_27_6 # m7_27_6 # m7_2None14truecomposite1[[16, 13, 2, 12], [3, 9, 4, 8], [5, 1, 6, 14], [7, 10, 8, 11], [9, 3, 10, 2], [11, 6, 12, 7], [13, 5, 14, 4], [1, 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":"7_6","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_6m7_2 # m7_6m7_2 # m7_6None14truecomposite1[[15, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_7 # m7_27_7 # m7_27_7 # m7_2None14truecomposite1[[16, 10, 2, 11], [3, 13, 4, 12], [5, 14, 6, 1], [7, 5, 8, 4], [9, 2, 10, 3], [11, 9, 12, 8], [13, 6, 14, 7], [1, 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":"7_7","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}]falsetruereversible[]
m7_2 # m7_7m7_2 # m7_7m7_2 # m7_7None14truecomposite1[[15, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4], [2, 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":"7_2","mirror":true,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # 7_37_3 # 7_37_3 # 7_3None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}]falsetruereversible[]
7_3 # m7_37_3 # m7_37_3 # m7_3None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]truetruefully amphicheiral[]
7_3 # 7_47_3 # 7_47_3 # 7_4None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
7_3 # m7_47_3 # m7_47_3 # m7_4None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # 7_57_3 # 7_57_3 # 7_5None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
7_3 # m7_57_3 # m7_57_3 # m7_5None14truecomposite1[[16, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # 7_67_3 # 7_67_3 # 7_6None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]
7_3 # m7_67_3 # m7_67_3 # m7_6None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_3 # 7_77_3 # 7_77_3 # 7_7None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":false,"reverse":false}]falsetruereversible[]
7_3 # m7_77_3 # m7_77_3 # m7_7None14truecomposite1[[15, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6], [1, 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":"7_3","mirror":false,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
m7_3 # m7_3m7_3 # m7_3m7_3 # m7_3None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_3","mirror":true,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
7_4 # m7_37_4 # m7_37_4 # m7_3None14truecomposite1[[15, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
m7_3 # m7_4m7_3 # m7_4m7_3 # m7_4None14truecomposite1[[16, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_3","mirror":true,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]falsetruereversible[]
7_5 # m7_37_5 # m7_37_5 # m7_3None14truecomposite1[[15, 10, 3, 9], [4, 2, 5, 1], [6, 14, 7, 13], [8, 12, 9, 11], [10, 4, 11, 3], [12, 6, 13, 5], [14, 8, 1, 7], [2, 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":"7_5","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
m7_3 # m7_5m7_3 # m7_5m7_3 # m7_5None14truecomposite1[[16, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_3","mirror":true,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_6 # m7_37_6 # m7_37_6 # m7_3None14truecomposite1[[15, 13, 2, 12], [3, 9, 4, 8], [5, 1, 6, 14], [7, 10, 8, 11], [9, 3, 10, 2], [11, 6, 12, 7], [13, 5, 14, 4], [1, 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":"7_6","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
m7_3 # m7_6m7_3 # m7_6m7_3 # m7_6None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_3","mirror":true,"reverse":false},{"knot_id":"7_6","mirror":true,"reverse":false}]falsetruereversible[]
7_7 # m7_37_7 # m7_37_7 # m7_3None14truecomposite1[[15, 10, 2, 11], [3, 13, 4, 12], [5, 14, 6, 1], [7, 5, 8, 4], [9, 2, 10, 3], [11, 9, 12, 8], [13, 6, 14, 7], [1, 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":"7_7","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":true,"reverse":false}]falsetruereversible[]
m7_3 # m7_7m7_3 # m7_7m7_3 # m7_7None14truecomposite1[[15, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7], [1, 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":"7_3","mirror":true,"reverse":false},{"knot_id":"7_7","mirror":true,"reverse":false}]falsetruereversible[]
7_4 # 7_47_4 # 7_47_4 # 7_4None14truecomposite1[[16, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":false,"reverse":false}]falsetruereversible[]
7_4 # m7_47_4 # m7_47_4 # m7_4None14truecomposite1[[16, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_4","mirror":true,"reverse":false}]truetruefully amphicheiral[]
7_4 # 7_57_4 # 7_57_4 # 7_5None14truecomposite1[[16, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":false,"reverse":false}]falsetruereversible[]
7_4 # m7_57_4 # m7_57_4 # m7_5None14truecomposite1[[16, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_5","mirror":true,"reverse":false}]falsetruereversible[]
7_4 # 7_67_4 # 7_67_4 # 7_6None14truecomposite1[[15, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5], [2, 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":"7_4","mirror":false,"reverse":false},{"knot_id":"7_6","mirror":false,"reverse":false}]falsetruereversible[]