Yet Another Knot Database

6,675,982 rows · 100 per page · Row type: OrientedKnotRow

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
m3_1 # 11n_96m3_1 # 11n_96m3_1 # 11n_96NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [13, 19, 14, 18], [25, 15, 26, 14], [19, 24, 20, 25], [11, 20, 12, 21], [23, 12, 24, 13], [21, 28, 22, 7], [27, 22, 28, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_96","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_96m3_1 # m11n_96m3_1 # m11n_96NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [13, 18, 14, 19], [25, 14, 26, 15], [19, 25, 20, 24], [11, 21, 12, 20], [23, 13, 24, 12], [21, 7, 22, 28], [27, 23, 28, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_96","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_97m3_1 # 11n_97m3_1 # 11n_97NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [20, 12, 21, 11], [12, 20, 13, 19], [21, 26, 22, 27], [15, 25, 16, 24], [25, 15, 26, 14], [23, 28, 24, 7], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_97","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_97m3_1 # r11n_97m3_1 # r11n_97NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [21, 11, 20, 12], [13, 19, 12, 20], [22, 27, 21, 26], [16, 24, 15, 25], [26, 14, 25, 15], [24, 7, 23, 28], [28, 23, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_97","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_97m3_1 # m11n_97m3_1 # m11n_97NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [20, 11, 21, 12], [12, 19, 13, 20], [21, 27, 22, 26], [15, 24, 16, 25], [25, 14, 26, 15], [23, 7, 24, 28], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_97","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_97m3_1 # mr11n_97m3_1 # mr11n_97NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [21, 12, 20, 11], [13, 20, 12, 19], [22, 26, 21, 27], [16, 25, 15, 24], [26, 15, 25, 14], [24, 28, 23, 7], [28, 22, 27, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_97","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_98m3_1 # 11n_98m3_1 # 11n_98NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 20, 12, 21], [19, 12, 20, 13], [26, 22, 27, 21], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_98","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_98m3_1 # m11n_98m3_1 # m11n_98NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 21, 12, 20], [19, 13, 20, 12], [26, 21, 27, 22], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_98","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_99m3_1 # 11n_99m3_1 # 11n_99NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 20, 12, 21], [19, 12, 20, 13], [21, 26, 22, 27], [15, 25, 16, 24], [25, 15, 26, 14], [23, 28, 24, 7], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_99","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_99m3_1 # m11n_99m3_1 # m11n_99NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 21, 12, 20], [19, 13, 20, 12], [21, 27, 22, 26], [15, 24, 16, 25], [25, 14, 26, 15], [23, 7, 24, 28], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_99","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_100m3_1 # 11n_100m3_1 # 11n_100NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [20, 12, 21, 11], [12, 20, 13, 19], [23, 26, 24, 27], [15, 25, 16, 24], [25, 15, 26, 14], [21, 28, 22, 7], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_100","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_100m3_1 # r11n_100m3_1 # r11n_100NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [21, 11, 20, 12], [13, 19, 12, 20], [24, 27, 23, 26], [16, 24, 15, 25], [26, 14, 25, 15], [22, 7, 21, 28], [28, 23, 27, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_100","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_100m3_1 # m11n_100m3_1 # m11n_100NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [20, 11, 21, 12], [12, 19, 13, 20], [23, 27, 24, 26], [15, 24, 16, 25], [25, 14, 26, 15], [21, 7, 22, 28], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_100","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_100m3_1 # mr11n_100m3_1 # mr11n_100NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [21, 12, 20, 11], [13, 20, 12, 19], [24, 26, 23, 27], [16, 25, 15, 24], [26, 15, 25, 14], [22, 28, 21, 7], [28, 22, 27, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_100","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_101m3_1 # 11n_101m3_1 # 11n_101NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 20, 12, 21], [19, 12, 20, 13], [26, 24, 27, 23], [24, 15, 25, 16], [14, 25, 15, 26], [28, 22, 7, 21], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_101","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_101m3_1 # m11n_101m3_1 # m11n_101NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 21, 12, 20], [19, 13, 20, 12], [26, 23, 27, 24], [24, 16, 25, 15], [14, 26, 15, 25], [28, 21, 7, 22], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_101","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_102m3_1 # 11n_102m3_1 # 11n_102NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 20, 12, 21], [19, 12, 20, 13], [23, 26, 24, 27], [15, 25, 16, 24], [25, 15, 26, 14], [21, 28, 22, 7], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_102","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_102m3_1 # m11n_102m3_1 # m11n_102NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 21, 12, 20], [19, 13, 20, 12], [23, 27, 24, 26], [15, 24, 16, 25], [25, 14, 26, 15], [21, 7, 22, 28], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_102","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_103m3_1 # 11n_103m3_1 # 11n_103NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [15, 26, 16, 27], [23, 28, 24, 7], [27, 24, 28, 25], [25, 14, 26, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_103","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_103m3_1 # m11n_103m3_1 # m11n_103NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [15, 27, 16, 26], [23, 7, 24, 28], [27, 25, 28, 24], [25, 15, 26, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_103","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_104m3_1 # 11n_104m3_1 # 11n_104NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [11, 21, 12, 20], [21, 25, 22, 24], [13, 22, 14, 23], [23, 12, 24, 13], [25, 15, 26, 14], [19, 7, 20, 28], [27, 19, 28, 18], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_104","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_104m3_1 # m11n_104m3_1 # m11n_104NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [11, 20, 12, 21], [21, 24, 22, 25], [13, 23, 14, 22], [23, 13, 24, 12], [25, 14, 26, 15], [19, 28, 20, 7], [27, 18, 28, 19], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_104","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_105m3_1 # 11n_105m3_1 # 11n_105NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [20, 11, 21, 12], [12, 25, 13, 26], [22, 14, 23, 13], [24, 22, 25, 21], [14, 24, 15, 23], [19, 7, 20, 28], [27, 19, 28, 18], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_105","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_105m3_1 # m11n_105m3_1 # m11n_105NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [20, 12, 21, 11], [12, 26, 13, 25], [22, 13, 23, 14], [24, 21, 25, 22], [14, 23, 15, 24], [19, 28, 20, 7], [27, 18, 28, 19], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_105","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_106m3_1 # 11n_106m3_1 # 11n_106NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [26, 17, 27, 18], [11, 21, 12, 20], [25, 13, 26, 12], [13, 22, 14, 23], [21, 24, 22, 25], [23, 14, 24, 15], [28, 19, 7, 20], [18, 27, 19, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_106","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_106m3_1 # m11n_106m3_1 # m11n_106NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [26, 18, 27, 17], [11, 20, 12, 21], [25, 12, 26, 13], [13, 23, 14, 22], [21, 25, 22, 24], [23, 15, 24, 14], [28, 20, 7, 19], [18, 28, 19, 27], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_106","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_107m3_1 # 11n_107m3_1 # 11n_107NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 27, 18, 26], [11, 21, 12, 20], [25, 13, 26, 12], [13, 22, 14, 23], [21, 24, 22, 25], [23, 14, 24, 15], [19, 7, 20, 28], [27, 19, 28, 18], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_107","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_107m3_1 # m11n_107m3_1 # m11n_107NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 26, 18, 27], [11, 20, 12, 21], [25, 12, 26, 13], [13, 23, 14, 22], [21, 25, 22, 24], [23, 15, 24, 14], [19, 28, 20, 7], [27, 18, 28, 19], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_107","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_108m3_1 # 11n_108m3_1 # 11n_108NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [28, 24, 7, 23], [16, 9, 17, 10], [8, 17, 9, 18], [24, 15, 25, 16], [18, 25, 19, 26], [11, 20, 12, 21], [13, 22, 14, 23], [21, 12, 22, 13], [26, 19, 27, 20], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_108","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_108m3_1 # r11n_108m3_1 # r11n_108NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [7, 23, 28, 24], [17, 10, 16, 9], [9, 18, 8, 17], [25, 16, 24, 15], [19, 26, 18, 25], [12, 21, 11, 20], [14, 23, 13, 22], [22, 13, 21, 12], [27, 20, 26, 19], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_108","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_108m3_1 # m11n_108m3_1 # m11n_108NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [28, 23, 7, 24], [16, 10, 17, 9], [8, 18, 9, 17], [24, 16, 25, 15], [18, 26, 19, 25], [11, 21, 12, 20], [13, 23, 14, 22], [21, 13, 22, 12], [26, 20, 27, 19], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_108","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_108m3_1 # mr11n_108m3_1 # mr11n_108NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [7, 24, 28, 23], [17, 9, 16, 10], [9, 17, 8, 18], [25, 15, 24, 16], [19, 25, 18, 26], [12, 20, 11, 21], [14, 22, 13, 23], [22, 12, 21, 13], [27, 19, 26, 20], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_108","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_109m3_1 # 11n_109m3_1 # 11n_109NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [22, 13, 23, 14], [24, 15, 25, 16], [14, 23, 15, 24], [18, 25, 19, 26], [11, 20, 12, 21], [26, 19, 27, 20], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_109","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_109m3_1 # r11n_109m3_1 # r11n_109NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [22, 7, 21, 28], [17, 10, 16, 9], [9, 18, 8, 17], [23, 14, 22, 13], [25, 16, 24, 15], [15, 24, 14, 23], [19, 26, 18, 25], [12, 21, 11, 20], [27, 20, 26, 19], [28, 12, 27, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_109","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_109m3_1 # m11n_109m3_1 # m11n_109NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [22, 14, 23, 13], [24, 16, 25, 15], [14, 24, 15, 23], [18, 26, 19, 25], [11, 21, 12, 20], [26, 20, 27, 19], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_109","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_109m3_1 # mr11n_109m3_1 # mr11n_109NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [22, 28, 21, 7], [17, 9, 16, 10], [9, 17, 8, 18], [23, 13, 22, 14], [25, 15, 24, 16], [15, 23, 14, 24], [19, 25, 18, 26], [12, 20, 11, 21], [27, 19, 26, 20], [28, 13, 27, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_109","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_110m3_1 # 11n_110m3_1 # 11n_110NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [28, 22, 7, 21], [16, 9, 17, 10], [8, 17, 9, 18], [13, 23, 14, 22], [15, 25, 16, 24], [23, 15, 24, 14], [18, 25, 19, 26], [20, 12, 21, 11], [26, 19, 27, 20], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_110","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_110m3_1 # r11n_110m3_1 # r11n_110NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [7, 21, 28, 22], [17, 10, 16, 9], [9, 18, 8, 17], [14, 22, 13, 23], [16, 24, 15, 25], [24, 14, 23, 15], [19, 26, 18, 25], [21, 11, 20, 12], [27, 20, 26, 19], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_110","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_110m3_1 # m11n_110m3_1 # m11n_110NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [28, 21, 7, 22], [16, 10, 17, 9], [8, 18, 9, 17], [13, 22, 14, 23], [15, 24, 16, 25], [23, 14, 24, 15], [18, 26, 19, 25], [20, 11, 21, 12], [26, 20, 27, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_110","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_110m3_1 # mr11n_110m3_1 # mr11n_110NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [7, 22, 28, 21], [17, 9, 16, 10], [9, 17, 8, 18], [14, 23, 13, 22], [16, 25, 15, 24], [24, 15, 23, 14], [19, 25, 18, 26], [21, 12, 20, 11], [27, 19, 26, 20], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_110","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_111m3_1 # 11n_111m3_1 # 11n_111NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [13, 23, 14, 22], [15, 25, 16, 24], [23, 15, 24, 14], [25, 19, 26, 18], [11, 20, 12, 21], [19, 27, 20, 26], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_111","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_111m3_1 # m11n_111m3_1 # m11n_111NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [13, 22, 14, 23], [15, 24, 16, 25], [23, 14, 24, 15], [25, 18, 26, 19], [11, 21, 12, 20], [19, 26, 20, 27], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_111","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_112m3_1 # 11n_112m3_1 # 11n_112NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [20, 12, 21, 11], [24, 14, 25, 13], [21, 28, 22, 7], [27, 22, 28, 23], [26, 17, 27, 18], [12, 24, 13, 23], [18, 25, 19, 26], [14, 20, 15, 19], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_112","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_112m3_1 # m11n_112m3_1 # m11n_112NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [20, 11, 21, 12], [24, 13, 25, 14], [21, 7, 22, 28], [27, 23, 28, 22], [26, 18, 27, 17], [12, 23, 13, 24], [18, 26, 19, 25], [14, 19, 15, 20], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_112","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_113m3_1 # 11n_113m3_1 # 11n_113NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [22, 15, 23, 16], [24, 13, 25, 14], [14, 23, 15, 24], [18, 25, 19, 26], [11, 20, 12, 21], [26, 19, 27, 20], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_113","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_113m3_1 # m11n_113m3_1 # m11n_113NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [22, 16, 23, 15], [24, 14, 25, 13], [14, 24, 15, 23], [18, 26, 19, 25], [11, 21, 12, 20], [26, 20, 27, 19], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_113","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_114m3_1 # 11n_114m3_1 # 11n_114NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [28, 22, 7, 21], [16, 9, 17, 10], [8, 17, 9, 18], [22, 15, 23, 16], [24, 13, 25, 14], [14, 23, 15, 24], [25, 19, 26, 18], [20, 12, 21, 11], [19, 27, 20, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_114","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_114m3_1 # r11n_114m3_1 # r11n_114NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [7, 21, 28, 22], [17, 10, 16, 9], [9, 18, 8, 17], [23, 16, 22, 15], [25, 14, 24, 13], [15, 24, 14, 23], [26, 18, 25, 19], [21, 11, 20, 12], [20, 26, 19, 27], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_114","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_114m3_1 # m11n_114m3_1 # m11n_114NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [28, 21, 7, 22], [16, 10, 17, 9], [8, 18, 9, 17], [22, 16, 23, 15], [24, 14, 25, 13], [14, 24, 15, 23], [25, 18, 26, 19], [20, 11, 21, 12], [19, 26, 20, 27], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_114","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_114m3_1 # mr11n_114m3_1 # mr11n_114NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [7, 22, 28, 21], [17, 9, 16, 10], [9, 17, 8, 18], [23, 15, 22, 16], [25, 13, 24, 14], [15, 23, 14, 24], [26, 19, 25, 18], [21, 12, 20, 11], [20, 27, 19, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_114","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_115m3_1 # 11n_115m3_1 # 11n_115NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [28, 22, 7, 21], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [13, 25, 14, 24], [23, 15, 24, 14], [18, 25, 19, 26], [20, 12, 21, 11], [26, 19, 27, 20], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_115","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_115m3_1 # m11n_115m3_1 # m11n_115NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [28, 21, 7, 22], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [13, 24, 14, 25], [23, 14, 24, 15], [18, 26, 19, 25], [20, 11, 21, 12], [26, 20, 27, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_115","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_116m3_1 # 11n_116m3_1 # 11n_116NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [13, 25, 14, 24], [23, 15, 24, 14], [18, 25, 19, 26], [11, 20, 12, 21], [26, 19, 27, 20], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_116","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_116m3_1 # r11n_116m3_1 # r11n_116NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [22, 7, 21, 28], [17, 10, 16, 9], [9, 18, 8, 17], [16, 22, 15, 23], [14, 24, 13, 25], [24, 14, 23, 15], [19, 26, 18, 25], [12, 21, 11, 20], [27, 20, 26, 19], [28, 12, 27, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_116","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_116m3_1 # m11n_116m3_1 # m11n_116NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [13, 24, 14, 25], [23, 14, 24, 15], [18, 26, 19, 25], [11, 21, 12, 20], [26, 20, 27, 19], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_116","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_116m3_1 # mr11n_116m3_1 # mr11n_116NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [22, 28, 21, 7], [17, 9, 16, 10], [9, 17, 8, 18], [16, 23, 15, 22], [14, 25, 13, 24], [24, 15, 23, 14], [19, 25, 18, 26], [12, 20, 11, 21], [27, 19, 26, 20], [28, 13, 27, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_116","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_117m3_1 # 11n_117m3_1 # 11n_117NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [13, 25, 14, 24], [23, 15, 24, 14], [25, 19, 26, 18], [11, 20, 12, 21], [19, 27, 20, 26], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_117","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_117m3_1 # m11n_117m3_1 # m11n_117NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [13, 24, 14, 25], [23, 14, 24, 15], [25, 18, 26, 19], [11, 21, 12, 20], [19, 26, 20, 27], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_117","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_118m3_1 # 11n_118m3_1 # 11n_118NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 15, 22, 14], [26, 14, 27, 13], [27, 18, 28, 19], [19, 24, 20, 25], [12, 26, 13, 25], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_118","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_118m3_1 # m11n_118m3_1 # m11n_118NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 14, 22, 15], [26, 13, 27, 14], [27, 19, 28, 18], [19, 25, 20, 24], [12, 25, 13, 26], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_118","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_119m3_1 # 11n_119m3_1 # 11n_119NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [22, 17, 23, 18], [20, 11, 21, 12], [14, 21, 15, 22], [13, 26, 14, 27], [18, 28, 19, 27], [24, 20, 25, 19], [25, 12, 26, 13], [28, 23, 7, 24], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_119","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_119m3_1 # m11n_119m3_1 # m11n_119NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [22, 18, 23, 17], [20, 12, 21, 11], [14, 22, 15, 21], [13, 27, 14, 26], [18, 27, 19, 28], [24, 19, 25, 20], [25, 13, 26, 12], [28, 24, 7, 23], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_119","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_120m3_1 # 11n_120m3_1 # 11n_120NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [11, 21, 12, 20], [21, 15, 22, 14], [13, 26, 14, 27], [27, 18, 28, 19], [19, 24, 20, 25], [25, 12, 26, 13], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_120","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_120m3_1 # r11n_120m3_1 # r11n_120NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 9, 16, 10], [18, 22, 17, 23], [12, 20, 11, 21], [22, 14, 21, 15], [14, 27, 13, 26], [28, 19, 27, 18], [20, 25, 19, 24], [26, 13, 25, 12], [24, 28, 23, 7], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_120","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_120m3_1 # m11n_120m3_1 # m11n_120NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [11, 20, 12, 21], [21, 14, 22, 15], [13, 27, 14, 26], [27, 19, 28, 18], [19, 25, 20, 24], [25, 13, 26, 12], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_120","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_120m3_1 # mr11n_120m3_1 # mr11n_120NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 10, 16, 9], [18, 23, 17, 22], [12, 21, 11, 20], [22, 15, 21, 14], [14, 26, 13, 27], [28, 18, 27, 19], [20, 24, 19, 25], [26, 12, 25, 13], [24, 7, 23, 28], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_120","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_121m3_1 # 11n_121m3_1 # 11n_121NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [21, 12, 22, 13], [19, 26, 20, 27], [24, 15, 25, 16], [14, 25, 15, 26], [28, 24, 7, 23], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_121","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_121m3_1 # m11n_121m3_1 # m11n_121NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [21, 13, 22, 12], [19, 27, 20, 26], [24, 16, 25, 15], [14, 26, 15, 25], [28, 23, 7, 24], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_121","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_122m3_1 # 11n_122m3_1 # 11n_122NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [21, 12, 22, 13], [19, 26, 20, 27], [15, 25, 16, 24], [25, 15, 26, 14], [23, 28, 24, 7], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_122","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_122m3_1 # r11n_122m3_1 # r11n_122NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [14, 19, 13, 18], [17, 10, 16, 9], [9, 18, 8, 17], [12, 23, 11, 22], [22, 13, 21, 12], [20, 27, 19, 26], [16, 24, 15, 25], [26, 14, 25, 15], [24, 7, 23, 28], [28, 21, 27, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_122","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_122m3_1 # m11n_122m3_1 # m11n_122NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [21, 13, 22, 12], [19, 27, 20, 26], [15, 24, 16, 25], [25, 14, 26, 15], [23, 7, 24, 28], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_122","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_122m3_1 # mr11n_122m3_1 # mr11n_122NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [14, 18, 13, 19], [17, 9, 16, 10], [9, 17, 8, 18], [12, 22, 11, 23], [22, 12, 21, 13], [20, 26, 19, 27], [16, 25, 15, 24], [26, 15, 25, 14], [24, 28, 23, 7], [28, 20, 27, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_122","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_123m3_1 # 11n_123m3_1 # 11n_123NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 16, 19, 15], [16, 9, 17, 10], [8, 17, 9, 18], [11, 22, 12, 23], [23, 28, 24, 7], [13, 21, 14, 20], [25, 14, 26, 15], [27, 13, 28, 12], [19, 24, 20, 25], [21, 27, 22, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_123","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_123m3_1 # m11n_123m3_1 # m11n_123NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [18, 15, 19, 16], [16, 10, 17, 9], [8, 18, 9, 17], [11, 23, 12, 22], [23, 7, 24, 28], [13, 20, 14, 21], [25, 15, 26, 14], [27, 12, 28, 13], [19, 25, 20, 24], [21, 26, 22, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_123","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_124m3_1 # 11n_124m3_1 # 11n_124NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 21, 14, 20], [16, 9, 17, 10], [8, 17, 9, 18], [22, 12, 23, 11], [15, 25, 16, 24], [26, 21, 27, 22], [19, 15, 20, 14], [28, 24, 7, 23], [25, 19, 26, 18], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_124","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_124m3_1 # r11n_124m3_1 # r11n_124NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [14, 20, 13, 21], [17, 10, 16, 9], [9, 18, 8, 17], [23, 11, 22, 12], [16, 24, 15, 25], [27, 22, 26, 21], [20, 14, 19, 15], [7, 23, 28, 24], [26, 18, 25, 19], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_124","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_124m3_1 # m11n_124m3_1 # m11n_124NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 20, 14, 21], [16, 10, 17, 9], [8, 18, 9, 17], [22, 11, 23, 12], [15, 24, 16, 25], [26, 22, 27, 21], [19, 14, 20, 15], [28, 23, 7, 24], [25, 18, 26, 19], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_124","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_124m3_1 # mr11n_124m3_1 # mr11n_124NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [14, 21, 13, 20], [17, 9, 16, 10], [9, 17, 8, 18], [23, 12, 22, 11], [16, 25, 15, 24], [27, 21, 26, 22], [20, 15, 19, 14], [7, 24, 28, 23], [26, 19, 25, 18], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_124","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_125m3_1 # 11n_125m3_1 # 11n_125NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [20, 16, 21, 15], [16, 9, 17, 10], [8, 17, 9, 18], [28, 21, 7, 22], [11, 23, 12, 22], [13, 25, 14, 24], [23, 13, 24, 12], [14, 27, 15, 28], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_125","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_125m3_1 # m11n_125m3_1 # m11n_125NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [20, 15, 21, 16], [16, 10, 17, 9], [8, 18, 9, 17], [28, 22, 7, 21], [11, 22, 12, 23], [13, 24, 14, 25], [23, 12, 24, 13], [14, 28, 15, 27], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_125","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_126m3_1 # 11n_126m3_1 # 11n_126NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [17, 23, 18, 22], [13, 19, 14, 18], [21, 15, 22, 14], [19, 27, 20, 26], [27, 13, 28, 12], [11, 25, 12, 24], [25, 21, 26, 20], [23, 7, 24, 28], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_126","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_126m3_1 # m11n_126m3_1 # m11n_126NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 9, 17, 10], [17, 22, 18, 23], [13, 18, 14, 19], [21, 14, 22, 15], [19, 26, 20, 27], [27, 12, 28, 13], [11, 24, 12, 25], [25, 20, 26, 21], [23, 28, 24, 7], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_126","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_127m3_1 # 11n_127m3_1 # 11n_127NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 18, 14, 19], [16, 9, 17, 10], [8, 17, 9, 18], [19, 27, 20, 26], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [27, 21, 28, 20], [15, 22, 16, 23], [21, 14, 22, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_127","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_127m3_1 # m11n_127m3_1 # m11n_127NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 19, 14, 18], [16, 10, 17, 9], [8, 18, 9, 17], [19, 26, 20, 27], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [27, 20, 28, 21], [15, 23, 16, 22], [21, 15, 22, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_127","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_128m3_1 # 11n_128m3_1 # 11n_128NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [15, 22, 16, 23], [16, 9, 17, 10], [8, 17, 9, 18], [23, 7, 24, 28], [11, 25, 12, 24], [13, 21, 14, 20], [19, 13, 20, 12], [27, 15, 28, 14], [21, 26, 22, 27], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_128","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_128m3_1 # r11n_128m3_1 # r11n_128NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [16, 23, 15, 22], [17, 10, 16, 9], [9, 18, 8, 17], [24, 28, 23, 7], [12, 24, 11, 25], [14, 20, 13, 21], [20, 12, 19, 13], [28, 14, 27, 15], [22, 27, 21, 26], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_128","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_128m3_1 # m11n_128m3_1 # m11n_128NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [15, 23, 16, 22], [16, 10, 17, 9], [8, 18, 9, 17], [23, 28, 24, 7], [11, 24, 12, 25], [13, 20, 14, 21], [19, 12, 20, 13], [27, 14, 28, 15], [21, 27, 22, 26], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_128","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_128m3_1 # mr11n_128m3_1 # mr11n_128NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [16, 22, 15, 23], [17, 9, 16, 10], [9, 17, 8, 18], [24, 7, 23, 28], [12, 25, 11, 24], [14, 21, 13, 20], [20, 13, 19, 12], [28, 15, 27, 14], [22, 26, 21, 27], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_128","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_129m3_1 # 11n_129m3_1 # 11n_129NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [13, 20, 14, 21], [16, 9, 17, 10], [8, 17, 9, 18], [23, 7, 24, 28], [11, 25, 12, 24], [27, 13, 28, 12], [15, 22, 16, 23], [19, 26, 20, 27], [21, 14, 22, 15], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_129","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_129m3_1 # r11n_129m3_1 # r11n_129NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [14, 21, 13, 20], [17, 10, 16, 9], [9, 18, 8, 17], [24, 28, 23, 7], [12, 24, 11, 25], [28, 12, 27, 13], [16, 23, 15, 22], [20, 27, 19, 26], [22, 15, 21, 14], [26, 19, 25, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_129","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_129m3_1 # m11n_129m3_1 # m11n_129NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [13, 21, 14, 20], [16, 10, 17, 9], [8, 18, 9, 17], [23, 28, 24, 7], [11, 24, 12, 25], [27, 12, 28, 13], [15, 23, 16, 22], [19, 27, 20, 26], [21, 15, 22, 14], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_129","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_129m3_1 # mr11n_129m3_1 # mr11n_129NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [14, 20, 13, 21], [17, 9, 16, 10], [9, 17, 8, 18], [24, 7, 23, 28], [12, 25, 11, 24], [28, 13, 27, 12], [16, 22, 15, 23], [20, 26, 19, 27], [22, 14, 21, 15], [26, 18, 25, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_129","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_130m3_1 # 11n_130m3_1 # 11n_130NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [21, 28, 22, 7], [16, 9, 17, 10], [8, 17, 9, 18], [15, 23, 16, 22], [23, 19, 24, 18], [13, 20, 14, 21], [11, 24, 12, 25], [25, 12, 26, 13], [19, 27, 20, 26], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_130","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_130m3_1 # r11n_130m3_1 # r11n_130NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [22, 7, 21, 28], [17, 10, 16, 9], [9, 18, 8, 17], [16, 22, 15, 23], [24, 18, 23, 19], [14, 21, 13, 20], [12, 25, 11, 24], [26, 13, 25, 12], [20, 26, 19, 27], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_130","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_130m3_1 # m11n_130m3_1 # m11n_130NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [21, 7, 22, 28], [16, 10, 17, 9], [8, 18, 9, 17], [15, 22, 16, 23], [23, 18, 24, 19], [13, 21, 14, 20], [11, 25, 12, 24], [25, 13, 26, 12], [19, 26, 20, 27], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_130","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_130m3_1 # mr11n_130m3_1 # mr11n_130NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [22, 28, 21, 7], [17, 9, 16, 10], [9, 17, 8, 18], [16, 23, 15, 22], [24, 19, 23, 18], [14, 20, 13, 21], [12, 24, 11, 25], [26, 12, 25, 13], [20, 27, 19, 26], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_130","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_131m3_1 # 11n_131m3_1 # 11n_131NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [15, 20, 16, 21], [16, 9, 17, 10], [8, 17, 9, 18], [13, 22, 14, 23], [21, 14, 22, 15], [28, 23, 7, 24], [24, 11, 25, 12], [12, 27, 13, 28], [26, 20, 27, 19], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_131","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_131m3_1 # r11n_131m3_1 # r11n_131NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [16, 21, 15, 20], [17, 10, 16, 9], [9, 18, 8, 17], [14, 23, 13, 22], [22, 15, 21, 14], [7, 24, 28, 23], [25, 12, 24, 11], [13, 28, 12, 27], [27, 19, 26, 20], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_131","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_131m3_1 # m11n_131m3_1 # m11n_131NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [15, 21, 16, 20], [16, 10, 17, 9], [8, 18, 9, 17], [13, 23, 14, 22], [21, 15, 22, 14], [28, 24, 7, 23], [24, 12, 25, 11], [12, 28, 13, 27], [26, 19, 27, 20], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_131","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_131m3_1 # mr11n_131m3_1 # mr11n_131NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [16, 20, 15, 21], [17, 9, 16, 10], [9, 17, 8, 18], [14, 22, 13, 23], [22, 14, 21, 15], [7, 23, 28, 24], [25, 11, 24, 12], [13, 27, 12, 28], [27, 20, 26, 19], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_131","mirror":true,"reverse":true}]falsefalsechiral[]