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
m5_2 # 9_33m5_2 # 9_33m5_2 # 9_33None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 12, 24], [13, 26, 14, 27], [15, 22, 16, 23], [17, 15, 18, 14], [19, 12, 20, 13], [21, 16, 22, 17], [23, 11, 24, 28], [25, 21, 26, 20], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":false}]falsefalsechiral[]
m5_2 # r9_33m5_2 # r9_33m5_2 # r9_33None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 11, 25], [14, 27, 13, 26], [16, 23, 15, 22], [18, 14, 17, 15], [20, 13, 19, 12], [22, 17, 21, 16], [24, 28, 23, 11], [26, 20, 25, 21], [28, 19, 27, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":true}]falsefalsechiral[]
m5_2 # m9_33m5_2 # m9_33m5_2 # m9_33None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 12, 25], [13, 27, 14, 26], [15, 23, 16, 22], [17, 14, 18, 15], [19, 13, 20, 12], [21, 17, 22, 16], [23, 28, 24, 11], [25, 20, 26, 21], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":false}]falsefalsechiral[]
m5_2 # mr9_33m5_2 # mr9_33m5_2 # mr9_33None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 11, 24], [14, 26, 13, 27], [16, 22, 15, 23], [18, 15, 17, 14], [20, 12, 19, 13], [22, 16, 21, 17], [24, 11, 23, 28], [26, 21, 25, 20], [28, 18, 27, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":true}]falsefalsechiral[]
m5_2 # 9_34m5_2 # 9_34m5_2 # 9_34None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 23, 13, 24], [14, 27, 15, 28], [16, 26, 17, 25], [18, 14, 19, 13], [20, 15, 21, 16], [22, 18, 23, 17], [24, 11, 25, 12], [26, 21, 27, 22], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_34","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_34m5_2 # m9_34m5_2 # m9_34None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 13, 23], [14, 28, 15, 27], [16, 25, 17, 26], [18, 13, 19, 14], [20, 16, 21, 15], [22, 17, 23, 18], [24, 12, 25, 11], [26, 22, 27, 21], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_34","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_35m5_2 # 9_35m5_2 # 9_35None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 22, 13, 21], [14, 26, 15, 25], [16, 24, 17, 23], [18, 28, 19, 27], [20, 14, 21, 13], [22, 12, 23, 11], [24, 16, 25, 15], [26, 20, 27, 19], [28, 18, 11, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_35","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_35m5_2 # m9_35m5_2 # m9_35None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 21, 13, 22], [14, 25, 15, 26], [16, 23, 17, 24], [18, 27, 19, 28], [20, 13, 21, 14], [22, 11, 23, 12], [24, 15, 25, 16], [26, 19, 27, 20], [28, 17, 11, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_35","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_36m5_2 # 9_36m5_2 # 9_36None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 13, 26], [14, 21, 15, 22], [16, 14, 17, 13], [18, 27, 19, 28], [20, 15, 21, 16], [22, 20, 23, 19], [24, 11, 25, 12], [26, 17, 27, 18], [28, 23, 11, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_36","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_36m5_2 # m9_36m5_2 # m9_36None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 26, 13, 25], [14, 22, 15, 21], [16, 13, 17, 14], [18, 28, 19, 27], [20, 16, 21, 15], [22, 19, 23, 20], [24, 12, 25, 11], [26, 18, 27, 17], [28, 24, 11, 23]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_36","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_37m5_2 # 9_37m5_2 # 9_37None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 12, 21], [13, 24, 14, 25], [15, 11, 16, 28], [17, 27, 18, 26], [19, 12, 20, 13], [21, 19, 22, 18], [23, 14, 24, 15], [25, 23, 26, 22], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_37","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_37m5_2 # m9_37m5_2 # m9_37None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 21, 12, 20], [13, 25, 14, 24], [15, 28, 16, 11], [17, 26, 18, 27], [19, 13, 20, 12], [21, 18, 22, 19], [23, 15, 24, 14], [25, 22, 26, 23], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_37","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_38m5_2 # 9_38m5_2 # 9_38None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 13, 23], [14, 20, 15, 19], [16, 26, 17, 25], [18, 14, 19, 13], [20, 28, 21, 27], [22, 16, 23, 15], [24, 12, 25, 11], [26, 22, 27, 21], [28, 18, 11, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_38","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_38m5_2 # m9_38m5_2 # m9_38None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 23, 13, 24], [14, 19, 15, 20], [16, 25, 17, 26], [18, 13, 19, 14], [20, 27, 21, 28], [22, 15, 23, 16], [24, 11, 25, 12], [26, 21, 27, 22], [28, 17, 11, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_38","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_39m5_2 # 9_39m5_2 # 9_39None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 22, 12, 23], [13, 27, 14, 26], [15, 20, 16, 21], [17, 28, 18, 11], [19, 24, 20, 25], [21, 12, 22, 13], [23, 16, 24, 17], [25, 15, 26, 14], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_39","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_39m5_2 # m9_39m5_2 # m9_39None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 23, 12, 22], [13, 26, 14, 27], [15, 21, 16, 20], [17, 11, 18, 28], [19, 25, 20, 24], [21, 13, 22, 12], [23, 17, 24, 16], [25, 14, 26, 15], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_39","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_40m5_2 # 9_40m5_2 # 9_40None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 12, 24], [13, 22, 14, 23], [15, 21, 16, 20], [17, 13, 18, 12], [19, 28, 20, 11], [21, 27, 22, 26], [23, 19, 24, 18], [25, 16, 26, 17], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_40","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_40m5_2 # m9_40m5_2 # m9_40None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 12, 25], [13, 23, 14, 22], [15, 20, 16, 21], [17, 12, 18, 13], [19, 11, 20, 28], [21, 26, 22, 27], [23, 18, 24, 19], [25, 17, 26, 16], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_40","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_41m5_2 # 9_41m5_2 # 9_41None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 12, 24], [13, 22, 14, 23], [15, 26, 16, 27], [17, 13, 18, 12], [19, 28, 20, 11], [21, 14, 22, 15], [23, 19, 24, 18], [25, 16, 26, 17], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_41","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_41m5_2 # m9_41m5_2 # m9_41None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 12, 25], [13, 23, 14, 22], [15, 27, 16, 26], [17, 12, 18, 13], [19, 11, 20, 28], [21, 15, 22, 14], [23, 18, 24, 19], [25, 17, 26, 16], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_41","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_42m5_2 # 9_42m5_2 # 9_42NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 15, 12, 14], [15, 21, 16, 20], [13, 18, 14, 19], [19, 12, 20, 13], [26, 21, 27, 22], [24, 18, 25, 17], [16, 26, 17, 25], [28, 23, 11, 24], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_42","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_42m5_2 # m9_42m5_2 # m9_42NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 14, 12, 15], [15, 20, 16, 21], [13, 19, 14, 18], [19, 13, 20, 12], [26, 22, 27, 21], [24, 17, 25, 18], [16, 25, 17, 26], [28, 24, 11, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_42","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_43m5_2 # 9_43m5_2 # 9_43NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 12, 18], [13, 26, 14, 27], [15, 11, 16, 28], [16, 22, 17, 21], [19, 13, 20, 12], [20, 24, 21, 23], [22, 18, 23, 17], [25, 14, 26, 15], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_43","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_43m5_2 # m9_43m5_2 # m9_43NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 12, 19], [13, 27, 14, 26], [15, 28, 16, 11], [16, 21, 17, 22], [19, 12, 20, 13], [20, 23, 21, 24], [22, 17, 23, 18], [25, 15, 26, 14], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_43","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_44m5_2 # 9_44m5_2 # 9_44NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [13, 26, 14, 27], [15, 11, 16, 28], [16, 22, 17, 21], [18, 11, 19, 12], [20, 24, 21, 23], [22, 18, 23, 17], [25, 14, 26, 15], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_44","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_44m5_2 # m9_44m5_2 # m9_44NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [13, 27, 14, 26], [15, 28, 16, 11], [16, 21, 17, 22], [18, 12, 19, 11], [20, 23, 21, 24], [22, 17, 23, 18], [25, 15, 26, 14], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_44","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_45m5_2 # 9_45m5_2 # 9_45NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [13, 26, 14, 27], [15, 11, 16, 28], [17, 22, 18, 23], [18, 11, 19, 12], [21, 16, 22, 17], [23, 20, 24, 21], [25, 14, 26, 15], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_45","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_45m5_2 # m9_45m5_2 # m9_45NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [13, 27, 14, 26], [15, 28, 16, 11], [17, 23, 18, 22], [18, 12, 19, 11], [21, 17, 22, 16], [23, 21, 24, 20], [25, 15, 26, 14], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_45","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_46m5_2 # 9_46m5_2 # 9_46NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [13, 24, 14, 25], [16, 27, 17, 28], [18, 21, 19, 22], [20, 12, 21, 11], [23, 14, 24, 15], [25, 23, 26, 22], [26, 17, 27, 18], [28, 15, 11, 16]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_46","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_46m5_2 # m9_46m5_2 # m9_46NoneNonefalsecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [13, 25, 14, 24], [16, 28, 17, 27], [18, 22, 19, 21], [20, 11, 21, 12], [23, 15, 24, 14], [25, 22, 26, 23], [26, 18, 27, 17], [28, 16, 11, 15]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_46","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_47m5_2 # 9_47m5_2 # 9_47NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 12, 24], [14, 27, 15, 28], [16, 26, 17, 25], [18, 14, 19, 13], [20, 15, 21, 16], [22, 18, 23, 17], [23, 13, 24, 12], [26, 21, 27, 22], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_47","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_47m5_2 # m9_47m5_2 # m9_47NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 12, 25], [14, 28, 15, 27], [16, 25, 17, 26], [18, 13, 19, 14], [20, 16, 21, 15], [22, 17, 23, 18], [23, 12, 24, 13], [26, 22, 27, 21], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_47","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_48m5_2 # 9_48m5_2 # 9_48NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 12, 21], [13, 24, 14, 25], [16, 27, 17, 28], [19, 12, 20, 13], [21, 19, 22, 18], [23, 14, 24, 15], [25, 23, 26, 22], [26, 17, 27, 18], [28, 15, 11, 16]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_48","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_48m5_2 # m9_48m5_2 # m9_48NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 21, 12, 20], [13, 25, 14, 24], [16, 28, 17, 27], [19, 13, 20, 12], [21, 18, 22, 19], [23, 15, 24, 14], [25, 22, 26, 23], [26, 18, 27, 17], [28, 16, 11, 15]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_48","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_49m5_2 # 9_49m5_2 # 9_49NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 25, 12, 24], [14, 22, 15, 21], [16, 26, 17, 25], [17, 13, 18, 12], [20, 28, 21, 27], [22, 14, 23, 13], [23, 19, 24, 18], [26, 16, 27, 15], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_49","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_49m5_2 # m9_49m5_2 # m9_49NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 24, 12, 25], [14, 21, 15, 22], [16, 25, 17, 26], [17, 12, 18, 13], [20, 27, 21, 28], [22, 13, 23, 14], [23, 18, 24, 19], [26, 15, 27, 16], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_49","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_16_1 # 8_16_1 # 8_1None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_16_1 # m8_16_1 # m8_1None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_26_1 # 8_26_1 # 8_2None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_26_1 # m8_26_1 # m8_2None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_36_1 # 8_36_1 # 8_3None14truecomposite1[[18, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # 8_46_1 # 8_46_1 # 8_4None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_46_1 # m8_46_1 # m8_4None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_56_1 # 8_56_1 # 8_5None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_56_1 # m8_56_1 # m8_5None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_66_1 # 8_66_1 # 8_6None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_66_1 # m8_66_1 # m8_6None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_76_1 # 8_76_1 # 8_7None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_76_1 # m8_76_1 # m8_7None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 22, 15, 21], [16, 25, 17, 26], [18, 28, 19, 27], [20, 14, 21, 13], [22, 18, 23, 17], [24, 15, 25, 16], [26, 23, 27, 24], [28, 20, 13, 19]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_86_1 # 8_86_1 # 8_8None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 14, 18], [15, 24, 16, 25], [17, 21, 18, 20], [19, 15, 20, 14], [21, 28, 22, 13], [23, 26, 24, 27], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_86_1 # m8_86_1 # m8_8None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 18, 14, 19], [15, 25, 16, 24], [17, 20, 18, 21], [19, 14, 20, 15], [21, 13, 22, 28], [23, 27, 24, 26], [25, 17, 26, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_96_1 # 8_96_1 # 8_9None14truecomposite1[[18, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 14, 19, 13], [26, 20, 27, 19], [22, 15, 23, 16], [14, 25, 15, 26], [24, 17, 25, 18], [16, 23, 17, 24], [28, 22, 13, 21], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # 8_106_1 # 8_106_1 # 8_10None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 26, 15, 25], [16, 21, 17, 22], [18, 23, 19, 24], [20, 27, 21, 28], [22, 17, 23, 18], [24, 14, 25, 13], [26, 19, 27, 20], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_106_1 # m8_106_1 # m8_10None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 25, 15, 26], [16, 22, 17, 21], [18, 24, 19, 23], [20, 28, 21, 27], [22, 18, 23, 17], [24, 13, 25, 14], [26, 20, 27, 19], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_116_1 # 8_116_1 # 8_11None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 19, 26, 18], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_116_1 # m8_116_1 # m8_11None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 18, 26, 19], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_126_1 # 8_126_1 # 8_12None14truecomposite1[[16, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 14, 17, 13], [22, 20, 23, 19], [20, 15, 21, 16], [14, 21, 15, 22], [26, 18, 27, 17], [28, 23, 13, 24], [24, 27, 25, 28], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # 8_136_1 # 8_136_1 # 8_13None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 14, 20], [15, 26, 16, 27], [17, 24, 18, 25], [19, 23, 20, 22], [21, 15, 22, 14], [23, 28, 24, 13], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_136_1 # m8_136_1 # m8_13None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 20, 14, 21], [15, 27, 16, 26], [17, 25, 18, 24], [19, 22, 20, 23], [21, 14, 22, 15], [23, 13, 24, 28], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_146_1 # 8_146_1 # 8_14None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 24, 15, 23], [16, 20, 17, 19], [18, 27, 19, 28], [20, 26, 21, 25], [22, 14, 23, 13], [24, 22, 25, 21], [26, 16, 27, 15], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_146_1 # m8_146_1 # m8_14None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 23, 15, 24], [16, 19, 17, 20], [18, 28, 19, 27], [20, 25, 21, 26], [22, 13, 23, 14], [24, 21, 25, 22], [26, 15, 27, 16], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_156_1 # 8_156_1 # 8_15None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 14, 18], [15, 27, 16, 26], [17, 21, 18, 20], [19, 15, 20, 14], [21, 25, 22, 24], [23, 13, 24, 28], [25, 17, 26, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_156_1 # m8_156_1 # m8_15None14truecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 18, 14, 19], [15, 26, 16, 27], [17, 20, 18, 21], [19, 14, 20, 15], [21, 24, 22, 25], [23, 28, 24, 13], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_166_1 # 8_166_1 # 8_16None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 15, 20], [16, 22, 17, 21], [18, 13, 19, 14], [20, 26, 21, 25], [22, 27, 23, 28], [24, 18, 25, 17], [26, 15, 27, 16], [28, 23, 13, 24]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_166_1 # m8_166_1 # m8_16None14truecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 20, 15, 19], [16, 21, 17, 22], [18, 14, 19, 13], [20, 25, 21, 26], [22, 28, 23, 27], [24, 17, 25, 18], [26, 16, 27, 15], [28, 24, 13, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_176_1 # 8_176_1 # 8_17None14truecomposite1[[18, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 14, 19, 13], [26, 20, 27, 19], [20, 15, 21, 16], [14, 25, 15, 26], [24, 17, 25, 18], [16, 21, 17, 22], [28, 24, 13, 23], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
6_1 # r8_176_1 # r8_176_1 # r8_17None14truecomposite1[[19, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 13, 18, 14], [27, 19, 26, 20], [21, 16, 20, 15], [15, 26, 14, 25], [25, 18, 24, 17], [17, 22, 16, 21], [13, 23, 28, 24], [23, 27, 22, 28]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
6_1 # 8_186_1 # 8_186_1 # 8_18None14truecomposite1[[18, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 14, 19, 13], [20, 15, 21, 16], [28, 23, 13, 24], [14, 26, 15, 25], [16, 27, 17, 28], [22, 18, 23, 17], [24, 19, 25, 20], [26, 22, 27, 21]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # 8_196_1 # 8_196_1 # 8_19NoneNonefalsecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 26, 15, 25], [17, 23, 18, 22], [19, 27, 20, 26], [21, 17, 22, 16], [23, 19, 24, 18], [24, 14, 25, 13], [27, 21, 28, 20], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_196_1 # m8_196_1 # m8_19NoneNonefalsecomposite1[[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 25, 15, 26], [17, 22, 18, 23], [19, 26, 20, 27], [21, 16, 22, 17], [23, 18, 24, 19], [24, 13, 25, 14], [27, 20, 28, 21], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_206_1 # 8_206_1 # 8_20NoneNonefalsecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 14, 18], [16, 25, 17, 26], [17, 21, 18, 20], [19, 15, 20, 14], [22, 27, 23, 28], [24, 21, 25, 22], [26, 15, 27, 16], [28, 23, 13, 24]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_206_1 # m8_206_1 # m8_20NoneNonefalsecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 18, 14, 19], [16, 26, 17, 25], [17, 20, 18, 21], [19, 14, 20, 15], [22, 28, 23, 27], [24, 22, 25, 21], [26, 16, 27, 15], [28, 24, 13, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
6_1 # 8_216_1 # 8_216_1 # 8_21NoneNonefalsecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 19, 14, 18], [16, 25, 17, 26], [17, 21, 18, 20], [19, 15, 20, 14], [21, 25, 22, 24], [23, 13, 24, 28], [26, 15, 27, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
6_1 # m8_216_1 # m8_216_1 # m8_21NoneNonefalsecomposite1[[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 18, 14, 19], [16, 26, 17, 25], [17, 20, 18, 21], [19, 14, 20, 15], [21, 24, 22, 25], [23, 28, 24, 13], [26, 16, 27, 15], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_1m6_1 # 8_1m6_1 # 8_1None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_1m6_1 # m8_1m6_1 # m8_1None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_2m6_1 # 8_2m6_1 # 8_2None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_2m6_1 # m8_2m6_1 # m8_2None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_3m6_1 # 8_3m6_1 # 8_3None14truecomposite1[[18, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # 8_4m6_1 # 8_4m6_1 # 8_4None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_4m6_1 # m8_4m6_1 # m8_4None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_5m6_1 # 8_5m6_1 # 8_5None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_5m6_1 # m8_5m6_1 # m8_5None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_6m6_1 # 8_6m6_1 # 8_6None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_6m6_1 # m8_6m6_1 # m8_6None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_7m6_1 # 8_7m6_1 # 8_7None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]]derived_connected_sum[{"knot_id":"6_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_7m6_1 # m8_7m6_1 # m8_7None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_8m6_1 # 8_8m6_1 # 8_8None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 19, 14, 18], [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_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_8m6_1 # m8_8m6_1 # m8_8None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 18, 14, 19], [15, 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_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_9m6_1 # 8_9m6_1 # 8_9None14truecomposite1[[18, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 14, 19, 13], [26, 20, 27, 19], [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_1","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # 8_10m6_1 # 8_10m6_1 # 8_10None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 26, 15, 25], [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_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_10m6_1 # m8_10m6_1 # m8_10None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 25, 15, 26], [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_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_11m6_1 # 8_11m6_1 # 8_11None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_11m6_1 # m8_11m6_1 # m8_11None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_12m6_1 # 8_12m6_1 # 8_12None14truecomposite1[[16, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 14, 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_1","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # 8_13m6_1 # 8_13m6_1 # 8_13None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_13m6_1 # m8_13m6_1 # m8_13None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_14m6_1 # 8_14m6_1 # 8_14None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
m6_1 # m8_14m6_1 # m8_14m6_1 # m8_14None14truecomposite1[[14, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
m6_1 # 8_15m6_1 # 8_15m6_1 # 8_15None14truecomposite1[[13, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9], [1, 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_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]