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
5_2 # m9_335_2 # m9_335_2 # m9_33None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":false}]falsefalsechiral[]
5_2 # mr9_335_2 # mr9_335_2 # mr9_33None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":true}]falsefalsechiral[]
5_2 # 9_345_2 # 9_345_2 # 9_34None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_34","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_345_2 # m9_345_2 # m9_34None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_34","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_355_2 # 9_355_2 # 9_35None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_35","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_355_2 # m9_355_2 # m9_35None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_35","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_365_2 # 9_365_2 # 9_36None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_36","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_365_2 # m9_365_2 # m9_36None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_36","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_375_2 # 9_375_2 # 9_37None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_37","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_375_2 # m9_375_2 # m9_37None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_37","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_385_2 # 9_385_2 # 9_38None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_38","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_385_2 # m9_385_2 # m9_38None14truecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_38","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_395_2 # 9_395_2 # 9_39None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_39","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_395_2 # m9_395_2 # m9_39None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_39","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_405_2 # 9_405_2 # 9_40None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_40","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_405_2 # m9_405_2 # m9_40None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_40","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_415_2 # 9_415_2 # 9_41None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_41","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_415_2 # m9_415_2 # m9_41None14truecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_41","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_425_2 # 9_425_2 # 9_42NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_42","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_425_2 # m9_425_2 # m9_42NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_42","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_435_2 # 9_435_2 # 9_43NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_43","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_435_2 # m9_435_2 # m9_43NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_43","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_445_2 # 9_445_2 # 9_44NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_44","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_445_2 # m9_445_2 # m9_44NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_44","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_455_2 # 9_455_2 # 9_45NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_45","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_455_2 # m9_455_2 # m9_45NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_45","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_465_2 # 9_465_2 # 9_46NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_46","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_465_2 # m9_465_2 # m9_46NoneNonefalsecomposite1[[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_46","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_475_2 # 9_475_2 # 9_47NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_47","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_475_2 # m9_475_2 # m9_47NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_47","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_485_2 # 9_485_2 # 9_48NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_48","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_485_2 # m9_485_2 # m9_48NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_48","mirror":true,"reverse":false}]falsetruereversible[]
5_2 # 9_495_2 # 9_495_2 # 9_49NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_49","mirror":false,"reverse":false}]falsetruereversible[]
5_2 # m9_495_2 # m9_495_2 # m9_49NoneNonefalsecomposite1[[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [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":false,"reverse":false},{"knot_id":"9_49","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_1m5_2 # 9_1m5_2 # 9_1None14truecomposite1[[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, 23, 14, 22], [15, 25, 16, 24], [17, 27, 18, 26], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_1","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_1m5_2 # m9_1m5_2 # m9_1None14truecomposite1[[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, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_1","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_2m5_2 # 9_2m5_2 # 9_2None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 13, 17], [14, 24, 15, 23], [16, 14, 17, 13], [18, 12, 19, 11], [20, 28, 21, 27], [22, 26, 23, 25], [24, 16, 25, 15], [26, 22, 27, 21], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_2","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_2m5_2 # m9_2m5_2 # m9_2None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 13, 18], [14, 23, 15, 24], [16, 13, 17, 14], [18, 11, 19, 12], [20, 27, 21, 28], [22, 25, 23, 26], [24, 15, 25, 16], [26, 21, 27, 22], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_2","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_3m5_2 # 9_3m5_2 # 9_3None14truecomposite1[[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, 23, 16, 22], [17, 27, 18, 26], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_3","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_3m5_2 # m9_3m5_2 # m9_3None14truecomposite1[[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, 22, 16, 23], [17, 26, 18, 27], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_3","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_4m5_2 # 9_4m5_2 # 9_4None14truecomposite1[[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, 22, 15, 21], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 18, 27, 17], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_4","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_4m5_2 # m9_4m5_2 # m9_4None14truecomposite1[[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, 21, 15, 22], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 17, 27, 18], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_4","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_5m5_2 # 9_5m5_2 # 9_5None14truecomposite1[[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, 22, 15, 21], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 20, 27, 19], [28, 18, 11, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_5","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_5m5_2 # m9_5m5_2 # m9_5None14truecomposite1[[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, 21, 15, 22], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 19, 27, 20], [28, 17, 11, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_5","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_6m5_2 # 9_6m5_2 # 9_6None14truecomposite1[[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, 17, 14, 16], [15, 25, 16, 24], [17, 13, 18, 12], [19, 27, 20, 26], [21, 11, 22, 28], [23, 15, 24, 14], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_6","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_6m5_2 # m9_6m5_2 # m9_6None14truecomposite1[[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, 16, 14, 17], [15, 24, 16, 25], [17, 12, 18, 13], [19, 26, 20, 27], [21, 28, 22, 11], [23, 14, 24, 15], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_6","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_7m5_2 # 9_7m5_2 # 9_7None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 22, 15, 21], [16, 26, 17, 25], [18, 16, 19, 15], [20, 14, 21, 13], [22, 12, 23, 11], [24, 28, 25, 27], [26, 18, 27, 17], [28, 24, 11, 23]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_7","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_7m5_2 # m9_7m5_2 # m9_7None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 21, 15, 22], [16, 25, 17, 26], [18, 15, 19, 16], [20, 13, 21, 14], [22, 11, 23, 12], [24, 27, 25, 28], [26, 17, 27, 18], [28, 23, 11, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_7","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_8m5_2 # 9_8m5_2 # 9_8None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 26, 12, 27], [13, 24, 14, 25], [15, 21, 16, 20], [17, 11, 18, 28], [19, 23, 20, 22], [21, 17, 22, 16], [23, 14, 24, 15], [25, 12, 26, 13], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_8","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_8m5_2 # m9_8m5_2 # m9_8None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 27, 12, 26], [13, 25, 14, 24], [15, 20, 16, 21], [17, 28, 18, 11], [19, 22, 20, 23], [21, 16, 22, 17], [23, 15, 24, 14], [25, 13, 26, 12], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_8","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_9m5_2 # 9_9m5_2 # 9_9None14truecomposite1[[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, 19, 14, 18], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 12], [21, 11, 22, 28], [23, 15, 24, 14], [25, 17, 26, 16], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_9","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_9m5_2 # m9_9m5_2 # m9_9None14truecomposite1[[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, 18, 14, 19], [15, 24, 16, 25], [17, 26, 18, 27], [19, 12, 20, 13], [21, 28, 22, 11], [23, 14, 24, 15], [25, 16, 26, 17], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_9","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_10m5_2 # 9_10m5_2 # 9_10None14truecomposite1[[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, 21, 14, 20], [15, 27, 16, 26], [17, 25, 18, 24], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_10","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_10m5_2 # m9_10m5_2 # m9_10None14truecomposite1[[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, 20, 14, 21], [15, 26, 16, 27], [17, 24, 18, 25], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_10","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_11m5_2 # 9_11m5_2 # 9_11None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 13, 18], [14, 23, 15, 24], [16, 25, 17, 26], [18, 22, 19, 21], [20, 27, 21, 28], [22, 13, 23, 14], [24, 15, 25, 16], [26, 12, 27, 11], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_11","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_11m5_2 # m9_11m5_2 # m9_11None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 13, 17], [14, 24, 15, 23], [16, 26, 17, 25], [18, 21, 19, 22], [20, 28, 21, 27], [22, 14, 23, 13], [24, 16, 25, 15], [26, 11, 27, 12], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_11","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_12m5_2 # 9_12m5_2 # 9_12None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 26, 15, 25], [16, 24, 17, 23], [18, 13, 19, 14], [20, 28, 21, 27], [22, 18, 23, 17], [24, 16, 25, 15], [26, 12, 27, 11], [28, 22, 11, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_12","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_12m5_2 # m9_12m5_2 # m9_12None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 25, 15, 26], [16, 23, 17, 24], [18, 14, 19, 13], [20, 27, 21, 28], [22, 17, 23, 18], [24, 15, 25, 16], [26, 11, 27, 12], [28, 21, 11, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_12","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_13m5_2 # 9_13m5_2 # 9_13None14truecomposite1[[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, 24, 15, 23], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 20, 27, 19], [28, 18, 11, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_13","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_13m5_2 # m9_13m5_2 # m9_13None14truecomposite1[[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, 23, 15, 24], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 19, 27, 20], [28, 17, 11, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_13","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_14m5_2 # 9_14m5_2 # 9_14None14truecomposite1[[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, 20, 14, 21], [15, 26, 16, 27], [17, 11, 18, 28], [19, 14, 20, 15], [21, 12, 22, 13], [23, 19, 24, 18], [25, 16, 26, 17], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_14","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_14m5_2 # m9_14m5_2 # m9_14None14truecomposite1[[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, 21, 14, 20], [15, 27, 16, 26], [17, 28, 18, 11], [19, 15, 20, 14], [21, 13, 22, 12], [23, 18, 24, 19], [25, 17, 26, 16], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_14","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_15m5_2 # 9_15m5_2 # 9_15None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 17, 15, 18], [16, 25, 17, 26], [18, 13, 19, 14], [20, 24, 21, 23], [22, 27, 23, 28], [24, 15, 25, 16], [26, 12, 27, 11], [28, 21, 11, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_15","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_15m5_2 # m9_15m5_2 # m9_15None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 18, 15, 17], [16, 26, 17, 25], [18, 14, 19, 13], [20, 23, 21, 24], [22, 28, 23, 27], [24, 16, 25, 15], [26, 11, 27, 12], [28, 22, 11, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_15","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_16m5_2 # 9_16m5_2 # 9_16None14truecomposite1[[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, 21, 14, 20], [15, 25, 16, 24], [17, 15, 18, 14], [19, 13, 20, 12], [21, 27, 22, 26], [23, 11, 24, 28], [25, 17, 26, 16], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_16","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_16m5_2 # m9_16m5_2 # m9_16None14truecomposite1[[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, 20, 14, 21], [15, 24, 16, 25], [17, 14, 18, 15], [19, 12, 20, 13], [21, 26, 22, 27], [23, 28, 24, 11], [25, 16, 26, 17], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_16","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_17m5_2 # 9_17m5_2 # 9_17None14truecomposite1[[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, 22, 14, 23], [15, 26, 16, 27], [17, 11, 18, 28], [19, 13, 20, 12], [21, 14, 22, 15], [23, 21, 24, 20], [25, 16, 26, 17], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_17","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_17m5_2 # m9_17m5_2 # m9_17None14truecomposite1[[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, 23, 14, 22], [15, 27, 16, 26], [17, 28, 18, 11], [19, 12, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 17, 26, 16], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_17","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_18m5_2 # 9_18m5_2 # 9_18None14truecomposite1[[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, 12, 15, 11], [16, 26, 17, 25], [18, 24, 19, 23], [20, 28, 21, 27], [22, 14, 23, 13], [24, 18, 25, 17], [26, 20, 27, 19], [28, 16, 11, 15]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_18","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_18m5_2 # m9_18m5_2 # m9_18None14truecomposite1[[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, 11, 15, 12], [16, 25, 17, 26], [18, 23, 19, 24], [20, 27, 21, 28], [22, 13, 23, 14], [24, 17, 25, 18], [26, 19, 27, 20], [28, 15, 11, 16]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_18","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_19m5_2 # 9_19m5_2 # 9_19None14truecomposite1[[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, 21, 15, 22], [16, 14, 17, 13], [18, 27, 19, 28], [20, 15, 21, 16], [22, 18, 23, 17], [24, 12, 25, 11], [26, 19, 27, 20], [28, 26, 11, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_19","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_19m5_2 # m9_19m5_2 # m9_19None14truecomposite1[[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, 22, 15, 21], [16, 13, 17, 14], [18, 28, 19, 27], [20, 16, 21, 15], [22, 17, 23, 18], [24, 11, 25, 12], [26, 20, 27, 19], [28, 25, 11, 26]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_19","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_20m5_2 # 9_20m5_2 # 9_20None14truecomposite1[[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, 26, 14, 27], [15, 23, 16, 22], [17, 13, 18, 12], [19, 11, 20, 28], [21, 25, 22, 24], [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_20","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_20m5_2 # m9_20m5_2 # m9_20None14truecomposite1[[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, 27, 14, 26], [15, 22, 16, 23], [17, 12, 18, 13], [19, 28, 20, 11], [21, 24, 22, 25], [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_20","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_21m5_2 # 9_21m5_2 # 9_21None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 13, 18], [14, 23, 15, 24], [16, 25, 17, 26], [18, 22, 19, 21], [20, 27, 21, 28], [22, 15, 23, 16], [24, 13, 25, 14], [26, 12, 27, 11], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_21","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_21m5_2 # m9_21m5_2 # m9_21None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 13, 17], [14, 24, 15, 23], [16, 26, 17, 25], [18, 21, 19, 22], [20, 28, 21, 27], [22, 16, 23, 15], [24, 14, 25, 13], [26, 11, 27, 12], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_21","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_22m5_2 # 9_22m5_2 # 9_22None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 12, 16], [13, 18, 14, 19], [15, 24, 16, 25], [17, 21, 18, 20], [19, 12, 20, 13], [21, 27, 22, 26], [23, 11, 24, 28], [25, 14, 26, 15], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_22","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_22m5_2 # m9_22m5_2 # m9_22None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 16, 12, 17], [13, 19, 14, 18], [15, 25, 16, 24], [17, 20, 18, 21], [19, 13, 20, 12], [21, 26, 22, 27], [23, 28, 24, 11], [25, 15, 26, 14], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_22","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_23m5_2 # 9_23m5_2 # 9_23None14truecomposite1[[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, 14, 17, 13], [18, 28, 19, 27], [20, 24, 21, 23], [22, 16, 23, 15], [24, 18, 25, 17], [26, 12, 27, 11], [28, 20, 11, 19]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_23","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_23m5_2 # m9_23m5_2 # m9_23None14truecomposite1[[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, 13, 17, 14], [18, 27, 19, 28], [20, 23, 21, 24], [22, 15, 23, 16], [24, 17, 25, 18], [26, 11, 27, 12], [28, 19, 11, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_23","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_24m5_2 # 9_24m5_2 # 9_24None14truecomposite1[[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, 17, 14, 16], [15, 11, 16, 28], [17, 24, 18, 25], [19, 26, 20, 27], [21, 13, 22, 12], [23, 20, 24, 21], [25, 18, 26, 19], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_24","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_24m5_2 # m9_24m5_2 # m9_24None14truecomposite1[[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, 16, 14, 17], [15, 28, 16, 11], [17, 25, 18, 24], [19, 27, 20, 26], [21, 12, 22, 13], [23, 21, 24, 20], [25, 19, 26, 18], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_24","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_25m5_2 # 9_25m5_2 # 9_25None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 27, 15, 28], [16, 22, 17, 21], [18, 14, 19, 13], [20, 24, 21, 23], [22, 18, 23, 17], [24, 12, 25, 11], [26, 15, 27, 16], [28, 26, 11, 25]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_25","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_25m5_2 # m9_25m5_2 # m9_25None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 28, 15, 27], [16, 21, 17, 22], [18, 13, 19, 14], [20, 23, 21, 24], [22, 17, 23, 18], [24, 11, 25, 12], [26, 16, 27, 15], [28, 25, 11, 26]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_25","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_26m5_2 # 9_26m5_2 # 9_26None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 21, 15, 22], [16, 27, 17, 28], [18, 25, 19, 26], [20, 24, 21, 23], [22, 13, 23, 14], [24, 12, 25, 11], [26, 15, 27, 16], [28, 17, 11, 18]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_26","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_26m5_2 # m9_26m5_2 # m9_26None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 22, 15, 21], [16, 28, 17, 27], [18, 26, 19, 25], [20, 23, 21, 24], [22, 14, 23, 13], [24, 11, 25, 12], [26, 16, 27, 15], [28, 18, 11, 17]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_26","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_27m5_2 # 9_27m5_2 # 9_27None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 17, 15, 18], [16, 24, 17, 23], [18, 25, 19, 26], [20, 28, 21, 27], [22, 13, 23, 14], [24, 16, 25, 15], [26, 12, 27, 11], [28, 22, 11, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_27","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_27m5_2 # m9_27m5_2 # m9_27None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 18, 15, 17], [16, 23, 17, 24], [18, 26, 19, 25], [20, 27, 21, 28], [22, 14, 23, 13], [24, 15, 25, 16], [26, 11, 27, 12], [28, 21, 11, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_27","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_28m5_2 # 9_28m5_2 # 9_28None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 26, 12, 27], [13, 25, 14, 24], [15, 13, 16, 12], [17, 23, 18, 22], [19, 17, 20, 16], [21, 28, 22, 11], [23, 19, 24, 18], [25, 15, 26, 14], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_28","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_28m5_2 # m9_28m5_2 # m9_28None14truecomposite1[[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 27, 12, 26], [13, 24, 14, 25], [15, 12, 16, 13], [17, 22, 18, 23], [19, 16, 20, 17], [21, 11, 22, 28], [23, 18, 24, 19], [25, 14, 26, 15], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_28","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_29m5_2 # 9_29m5_2 # 9_29None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 20, 13, 19], [14, 27, 15, 28], [16, 22, 17, 21], [18, 14, 19, 13], [20, 25, 21, 26], [22, 16, 23, 15], [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_29","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_29m5_2 # m9_29m5_2 # m9_29None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 19, 13, 20], [14, 28, 15, 27], [16, 21, 17, 22], [18, 13, 19, 14], [20, 26, 21, 25], [22, 15, 23, 16], [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_29","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_30m5_2 # 9_30m5_2 # 9_30None14truecomposite1[[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], [17, 22, 18, 23], [19, 13, 20, 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_30","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_30m5_2 # m9_30m5_2 # m9_30None14truecomposite1[[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], [17, 23, 18, 22], [19, 12, 20, 13], [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_30","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_31m5_2 # 9_31m5_2 # 9_31None14truecomposite1[[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, 20, 14, 21], [15, 23, 16, 22], [17, 11, 18, 28], [19, 26, 20, 27], [21, 25, 22, 24], [23, 17, 24, 16], [25, 14, 26, 15], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_31","mirror":false,"reverse":false}]falsetruereversible[]
m5_2 # m9_31m5_2 # m9_31m5_2 # m9_31None14truecomposite1[[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, 21, 14, 20], [15, 22, 16, 23], [17, 28, 18, 11], [19, 27, 20, 26], [21, 24, 22, 25], [23, 16, 24, 17], [25, 15, 26, 14], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_31","mirror":true,"reverse":false}]falsetruereversible[]
m5_2 # 9_32m5_2 # 9_32m5_2 # 9_32None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 13, 17], [14, 19, 15, 20], [16, 23, 17, 24], [18, 26, 19, 25], [20, 15, 21, 16], [22, 27, 23, 28], [24, 13, 25, 14], [26, 12, 27, 11], [28, 21, 11, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":false}]falsefalsechiral[]
m5_2 # r9_32m5_2 # r9_32m5_2 # r9_32None14truecomposite1[[13, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 12, 18], [15, 20, 14, 19], [17, 24, 16, 23], [19, 25, 18, 26], [21, 16, 20, 15], [23, 28, 22, 27], [25, 14, 24, 13], [27, 11, 26, 12], [11, 22, 28, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":true}]falsefalsechiral[]
m5_2 # m9_32m5_2 # m9_32m5_2 # m9_32None14truecomposite1[[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 17, 13, 18], [14, 20, 15, 19], [16, 24, 17, 23], [18, 25, 19, 26], [20, 16, 21, 15], [22, 28, 23, 27], [24, 14, 25, 13], [26, 11, 27, 12], [28, 22, 11, 21]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":false}]falsefalsechiral[]
m5_2 # mr9_32m5_2 # mr9_32m5_2 # mr9_32None14truecomposite1[[13, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 18, 12, 17], [15, 19, 14, 20], [17, 23, 16, 24], [19, 26, 18, 25], [21, 15, 20, 16], [23, 27, 22, 28], [25, 13, 24, 14], [27, 12, 26, 11], [11, 21, 28, 22]]derived_connected_sum[{"knot_id":"5_2","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":true}]falsefalsechiral[]