Yet Another Knot Database

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

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
3_1 # m11a_343_1 # m11a_343_1 # m11a_34None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [20, 12, 21, 11], [12, 22, 13, 21], [28, 24, 7, 23], [24, 17, 25, 18], [16, 27, 17, 28], [26, 19, 27, 20], [18, 25, 19, 26], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_34","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_353_1 # 11a_353_1 # 11a_35None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [20, 11, 21, 12], [12, 21, 13, 22], [28, 19, 7, 20], [16, 27, 17, 28], [24, 18, 25, 17], [26, 24, 27, 23], [18, 26, 19, 25], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_35","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_353_1 # m11a_353_1 # m11a_35None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [20, 12, 21, 11], [12, 22, 13, 21], [28, 20, 7, 19], [16, 28, 17, 27], [24, 17, 25, 18], [26, 23, 27, 24], [18, 25, 19, 26], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_35","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_363_1 # 11a_363_1 # 11a_36None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [22, 15, 23, 16], [26, 17, 27, 18], [28, 23, 7, 24], [24, 27, 25, 28], [16, 25, 17, 26], [18, 21, 19, 22], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_36","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_363_1 # m11a_363_1 # m11a_36None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [22, 16, 23, 15], [26, 18, 27, 17], [28, 24, 7, 23], [24, 28, 25, 27], [16, 26, 17, 25], [18, 22, 19, 21], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_36","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_373_1 # 11a_373_1 # 11a_37None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 15, 23, 16], [20, 11, 21, 12], [12, 21, 13, 22], [28, 23, 7, 24], [24, 20, 25, 19], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_37","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_373_1 # m11a_373_1 # m11a_37None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 16, 23, 15], [20, 12, 21, 11], [12, 22, 13, 21], [28, 24, 7, 23], [24, 19, 25, 20], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_37","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_383_1 # 11a_383_1 # 11a_38None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [20, 11, 21, 12], [12, 21, 13, 22], [24, 15, 25, 16], [16, 23, 17, 24], [28, 25, 7, 26], [26, 20, 27, 19], [18, 28, 19, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_38","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_383_1 # r11a_383_1 # r11a_38None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [15, 9, 14, 10], [23, 18, 22, 17], [21, 12, 20, 11], [13, 22, 12, 21], [25, 16, 24, 15], [17, 24, 16, 23], [7, 26, 28, 25], [27, 19, 26, 20], [19, 27, 18, 28], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_38","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_383_1 # m11a_383_1 # m11a_38None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [20, 12, 21, 11], [12, 22, 13, 21], [24, 16, 25, 15], [16, 24, 17, 23], [28, 26, 7, 25], [26, 19, 27, 20], [18, 27, 19, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_38","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_383_1 # mr11a_383_1 # mr11a_38None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [15, 10, 14, 9], [23, 17, 22, 18], [21, 11, 20, 12], [13, 21, 12, 22], [25, 15, 24, 16], [17, 23, 16, 24], [7, 25, 28, 26], [27, 20, 26, 19], [19, 28, 18, 27], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_38","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_393_1 # 11a_393_1 # 11a_39None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [24, 15, 25, 16], [26, 17, 27, 18], [28, 22, 7, 21], [16, 25, 17, 26], [22, 28, 23, 27], [18, 23, 19, 24], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_39","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_393_1 # m11a_393_1 # m11a_39None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [24, 16, 25, 15], [26, 18, 27, 17], [28, 21, 7, 22], [16, 26, 17, 25], [22, 27, 23, 28], [18, 24, 19, 23], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_39","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_403_1 # 11a_403_1 # 11a_40None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [28, 24, 7, 23], [24, 16, 25, 15], [26, 18, 27, 17], [16, 26, 17, 25], [18, 28, 19, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_40","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_403_1 # m11a_403_1 # m11a_40None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [28, 23, 7, 24], [24, 15, 25, 16], [26, 17, 27, 18], [16, 25, 17, 26], [18, 27, 19, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_40","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_413_1 # 11a_413_1 # 11a_41None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [28, 24, 7, 23], [24, 16, 25, 15], [16, 28, 17, 27], [26, 18, 27, 17], [18, 26, 19, 25], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_41","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_413_1 # m11a_413_1 # m11a_41None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [28, 23, 7, 24], [24, 15, 25, 16], [16, 27, 17, 28], [26, 17, 27, 18], [18, 25, 19, 26], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_41","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_423_1 # 11a_423_1 # 11a_42None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [26, 15, 27, 16], [28, 24, 7, 23], [24, 28, 25, 27], [22, 17, 23, 18], [18, 21, 19, 22], [16, 25, 17, 26], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_42","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_423_1 # m11a_423_1 # m11a_42None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [26, 16, 27, 15], [28, 23, 7, 24], [24, 27, 25, 28], [22, 18, 23, 17], [18, 22, 19, 21], [16, 26, 17, 25], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_42","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_433_1 # 11a_433_1 # 11a_43None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [24, 22, 25, 21], [22, 18, 23, 17], [18, 24, 19, 23], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_43","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_433_1 # m11a_433_1 # m11a_43None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [24, 21, 25, 22], [22, 17, 23, 18], [18, 23, 19, 24], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_43","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_443_1 # 11a_443_1 # 11a_44None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 17, 23, 18], [20, 11, 21, 12], [12, 21, 13, 22], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [24, 19, 25, 20], [18, 23, 19, 24], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_44","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_443_1 # m11a_443_1 # m11a_44None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 18, 23, 17], [20, 12, 21, 11], [12, 22, 13, 21], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [24, 20, 25, 19], [18, 24, 19, 23], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_44","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_453_1 # 11a_453_1 # 11a_45None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [20, 12, 21, 11], [26, 15, 27, 16], [28, 22, 7, 21], [22, 28, 23, 27], [24, 17, 25, 18], [18, 23, 19, 24], [16, 25, 17, 26], [12, 20, 13, 19], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_45","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_453_1 # m11a_453_1 # m11a_45None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [20, 11, 21, 12], [26, 16, 27, 15], [28, 21, 7, 22], [22, 27, 23, 28], [24, 18, 25, 17], [18, 24, 19, 23], [16, 26, 17, 25], [12, 19, 13, 20], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_45","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_463_1 # 11a_463_1 # 11a_46None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [24, 17, 25, 18], [18, 23, 19, 24], [28, 26, 7, 25], [26, 16, 27, 15], [16, 28, 17, 27], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_46","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_463_1 # m11a_463_1 # m11a_46None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [24, 18, 25, 17], [18, 24, 19, 23], [28, 25, 7, 26], [26, 15, 27, 16], [16, 27, 17, 28], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_46","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_473_1 # 11a_473_1 # 11a_47None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [26, 15, 27, 16], [20, 11, 21, 12], [12, 21, 13, 22], [24, 20, 25, 19], [22, 26, 23, 25], [18, 24, 19, 23], [28, 17, 7, 18], [16, 27, 17, 28], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_47","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_473_1 # m11a_473_1 # m11a_47None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [26, 16, 27, 15], [20, 12, 21, 11], [12, 22, 13, 21], [24, 19, 25, 20], [22, 25, 23, 26], [18, 23, 19, 24], [28, 18, 7, 17], [16, 28, 17, 27], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_47","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_483_1 # 11a_483_1 # 11a_48None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [22, 17, 23, 18], [20, 11, 21, 12], [12, 21, 13, 22], [26, 19, 27, 20], [28, 23, 7, 24], [24, 27, 25, 28], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_48","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_483_1 # m11a_483_1 # m11a_48None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [22, 18, 23, 17], [20, 12, 21, 11], [12, 22, 13, 21], [26, 20, 27, 19], [28, 24, 7, 23], [24, 28, 25, 27], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_48","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_493_1 # 11a_493_1 # 11a_49None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [26, 22, 27, 21], [24, 18, 25, 17], [18, 26, 19, 25], [28, 24, 7, 23], [22, 28, 23, 27], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_49","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_493_1 # r11a_493_1 # r11a_49None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 13, 16, 14], [15, 10, 14, 9], [9, 16, 8, 15], [21, 11, 20, 12], [27, 21, 26, 22], [25, 17, 24, 18], [19, 25, 18, 26], [7, 23, 28, 24], [23, 27, 22, 28], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_49","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_493_1 # m11a_493_1 # m11a_49None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [20, 11, 21, 12], [26, 21, 27, 22], [24, 17, 25, 18], [18, 25, 19, 26], [28, 23, 7, 24], [22, 27, 23, 28], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_49","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_493_1 # mr11a_493_1 # mr11a_49None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 14, 16, 13], [15, 9, 14, 10], [9, 15, 8, 16], [21, 12, 20, 11], [27, 22, 26, 21], [25, 18, 24, 17], [19, 26, 18, 25], [7, 24, 28, 23], [23, 28, 22, 27], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_49","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_503_1 # 11a_503_1 # 11a_50None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [26, 24, 27, 23], [24, 18, 25, 17], [18, 26, 19, 25], [28, 22, 7, 21], [22, 28, 23, 27], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_50","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_503_1 # m11a_503_1 # m11a_50None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [20, 11, 21, 12], [26, 23, 27, 24], [24, 17, 25, 18], [18, 25, 19, 26], [28, 21, 7, 22], [22, 27, 23, 28], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_50","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_513_1 # 11a_513_1 # 11a_51None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [22, 19, 23, 20], [20, 11, 21, 12], [12, 21, 13, 22], [26, 17, 27, 18], [28, 24, 7, 23], [24, 28, 25, 27], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_51","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_513_1 # m11a_513_1 # m11a_51None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [22, 20, 23, 19], [20, 12, 21, 11], [12, 22, 13, 21], [26, 18, 27, 17], [28, 23, 7, 24], [24, 27, 25, 28], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_51","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_523_1 # 11a_523_1 # 11a_52None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [14, 9, 15, 10], [8, 15, 9, 16], [28, 19, 7, 20], [20, 11, 21, 12], [12, 27, 13, 28], [24, 18, 25, 17], [26, 22, 27, 21], [22, 26, 23, 25], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_52","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_523_1 # r11a_523_1 # r11a_52None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [15, 10, 14, 9], [9, 16, 8, 15], [7, 20, 28, 19], [21, 12, 20, 11], [13, 28, 12, 27], [25, 17, 24, 18], [27, 21, 26, 22], [23, 25, 22, 26], [17, 23, 16, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_52","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_523_1 # m11a_523_1 # m11a_52None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [14, 10, 15, 9], [8, 16, 9, 15], [28, 20, 7, 19], [20, 12, 21, 11], [12, 28, 13, 27], [24, 17, 25, 18], [26, 21, 27, 22], [22, 25, 23, 26], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_52","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_523_1 # mr11a_523_1 # mr11a_52None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [15, 9, 14, 10], [9, 15, 8, 16], [7, 19, 28, 20], [21, 11, 20, 12], [13, 27, 12, 28], [25, 18, 24, 17], [27, 22, 26, 21], [23, 26, 22, 25], [17, 24, 16, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_52","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_533_1 # 11a_533_1 # 11a_53None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [28, 22, 7, 21], [14, 9, 15, 10], [8, 15, 9, 16], [22, 13, 23, 14], [16, 23, 17, 24], [20, 12, 21, 11], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_53","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_533_1 # r11a_533_1 # r11a_53None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [7, 21, 28, 22], [15, 10, 14, 9], [9, 16, 8, 15], [23, 14, 22, 13], [17, 24, 16, 23], [21, 11, 20, 12], [25, 18, 24, 17], [27, 20, 26, 19], [19, 26, 18, 25], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_53","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_533_1 # m11a_533_1 # m11a_53None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [28, 21, 7, 22], [14, 10, 15, 9], [8, 16, 9, 15], [22, 14, 23, 13], [16, 24, 17, 23], [20, 11, 21, 12], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_53","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_533_1 # mr11a_533_1 # mr11a_53None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [7, 22, 28, 21], [15, 9, 14, 10], [9, 15, 8, 16], [23, 13, 22, 14], [17, 23, 16, 24], [21, 12, 20, 11], [25, 17, 24, 18], [27, 19, 26, 20], [19, 25, 18, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_53","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_543_1 # 11a_543_1 # 11a_54None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [24, 17, 25, 18], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [26, 19, 27, 20], [28, 22, 7, 21], [22, 13, 23, 14], [18, 23, 19, 24], [16, 25, 17, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_54","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_543_1 # r11a_543_1 # r11a_54None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [25, 18, 24, 17], [15, 10, 14, 9], [9, 16, 8, 15], [21, 11, 20, 12], [27, 20, 26, 19], [7, 21, 28, 22], [23, 14, 22, 13], [19, 24, 18, 23], [17, 26, 16, 25], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_54","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_543_1 # m11a_543_1 # m11a_54None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [24, 18, 25, 17], [14, 10, 15, 9], [8, 16, 9, 15], [20, 11, 21, 12], [26, 20, 27, 19], [28, 21, 7, 22], [22, 14, 23, 13], [18, 24, 19, 23], [16, 26, 17, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_54","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_543_1 # mr11a_543_1 # mr11a_54None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [25, 17, 24, 18], [15, 9, 14, 10], [9, 15, 8, 16], [21, 12, 20, 11], [27, 19, 26, 20], [7, 22, 28, 21], [23, 13, 22, 14], [19, 23, 18, 24], [17, 25, 16, 26], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_54","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_553_1 # 11a_553_1 # 11a_55None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 12, 23, 11], [24, 15, 25, 16], [26, 17, 27, 18], [28, 19, 7, 20], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [12, 22, 13, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_55","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_553_1 # m11a_553_1 # m11a_55None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 11, 23, 12], [24, 16, 25, 15], [26, 18, 27, 17], [28, 20, 7, 19], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [12, 21, 13, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_55","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_563_1 # 11a_563_1 # 11a_56None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 12, 23, 11], [24, 15, 25, 16], [28, 19, 7, 20], [16, 27, 17, 28], [26, 17, 27, 18], [18, 25, 19, 26], [20, 23, 21, 24], [12, 22, 13, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_56","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_563_1 # m11a_563_1 # m11a_56None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 11, 23, 12], [24, 16, 25, 15], [28, 20, 7, 19], [16, 28, 17, 27], [26, 18, 27, 17], [18, 26, 19, 25], [20, 24, 21, 23], [12, 21, 13, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_56","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_573_1 # 11a_573_1 # 11a_57None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 12, 23, 11], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [20, 25, 21, 26], [24, 19, 25, 20], [18, 23, 19, 24], [12, 22, 13, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_57","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_573_1 # m11a_573_1 # m11a_57None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 11, 23, 12], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [20, 26, 21, 25], [24, 20, 25, 19], [18, 24, 19, 23], [12, 21, 13, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_57","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_583_1 # 11a_583_1 # 11a_58None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 12, 23, 11], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [24, 19, 25, 20], [20, 23, 21, 24], [18, 25, 19, 26], [12, 22, 13, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_58","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_583_1 # m11a_583_1 # m11a_58None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 11, 23, 12], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [24, 20, 25, 19], [20, 24, 21, 23], [18, 26, 19, 25], [12, 21, 13, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_58","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_593_1 # 11a_593_1 # 11a_59None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [22, 12, 23, 11], [28, 15, 7, 16], [26, 17, 27, 18], [24, 19, 25, 20], [20, 23, 21, 24], [18, 25, 19, 26], [16, 27, 17, 28], [12, 22, 13, 21], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_59","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_593_1 # m11a_593_1 # m11a_59None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [14, 9, 15, 10], [22, 11, 23, 12], [28, 16, 7, 15], [26, 18, 27, 17], [24, 20, 25, 19], [20, 24, 21, 23], [18, 26, 19, 25], [16, 28, 17, 27], [12, 21, 13, 22], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_59","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_603_1 # 11a_603_1 # 11a_60None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [22, 12, 23, 11], [28, 24, 7, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_60","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_603_1 # m11a_603_1 # m11a_60None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [22, 11, 23, 12], [28, 23, 7, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_60","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_613_1 # 11a_613_1 # 11a_61None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [22, 12, 23, 11], [28, 24, 7, 23], [24, 18, 25, 17], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_61","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_613_1 # m11a_613_1 # m11a_61None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [22, 11, 23, 12], [28, 23, 7, 24], [24, 17, 25, 18], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_61","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_623_1 # 11a_623_1 # 11a_62None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [24, 17, 25, 18], [22, 11, 23, 12], [12, 23, 13, 24], [26, 19, 27, 20], [28, 21, 7, 22], [18, 25, 19, 26], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_62","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_623_1 # m11a_623_1 # m11a_62None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [24, 18, 25, 17], [22, 12, 23, 11], [12, 24, 13, 23], [26, 20, 27, 19], [28, 22, 7, 21], [18, 26, 19, 25], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_62","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_633_1 # 11a_633_1 # 11a_63None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [24, 17, 25, 18], [22, 11, 23, 12], [12, 23, 13, 24], [28, 21, 7, 22], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_63","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_633_1 # m11a_633_1 # m11a_63None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [24, 18, 25, 17], [22, 12, 23, 11], [12, 24, 13, 23], [28, 22, 7, 21], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_63","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_643_1 # 11a_643_1 # 11a_64None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [24, 21, 25, 22], [22, 11, 23, 12], [12, 23, 13, 24], [26, 17, 27, 18], [28, 19, 7, 20], [18, 27, 19, 28], [20, 25, 21, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_64","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_643_1 # m11a_643_1 # m11a_64None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [24, 22, 25, 21], [22, 12, 23, 11], [12, 24, 13, 23], [26, 18, 27, 17], [28, 20, 7, 19], [18, 28, 19, 27], [20, 26, 21, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_64","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_653_1 # 11a_653_1 # 11a_65None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [24, 21, 25, 22], [22, 11, 23, 12], [12, 23, 13, 24], [28, 17, 7, 18], [26, 19, 27, 20], [20, 25, 21, 26], [18, 27, 19, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_65","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_653_1 # m11a_653_1 # m11a_65None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 13, 17, 14], [14, 10, 15, 9], [8, 16, 9, 15], [24, 22, 25, 21], [22, 12, 23, 11], [12, 24, 13, 23], [28, 18, 7, 17], [26, 20, 27, 19], [20, 26, 21, 25], [18, 28, 19, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_65","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_663_1 # 11a_663_1 # 11a_66None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [14, 9, 15, 10], [8, 15, 9, 16], [26, 19, 27, 20], [22, 11, 23, 12], [12, 25, 13, 26], [28, 21, 7, 22], [20, 27, 21, 28], [24, 18, 25, 17], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_66","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_663_1 # r11a_663_1 # r11a_66None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [15, 10, 14, 9], [9, 16, 8, 15], [27, 20, 26, 19], [23, 12, 22, 11], [13, 26, 12, 25], [7, 22, 28, 21], [21, 28, 20, 27], [25, 17, 24, 18], [17, 23, 16, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_66","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_663_1 # m11a_663_1 # m11a_66None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [14, 10, 15, 9], [8, 16, 9, 15], [26, 20, 27, 19], [22, 12, 23, 11], [12, 26, 13, 25], [28, 22, 7, 21], [20, 28, 21, 27], [24, 17, 25, 18], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_66","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_663_1 # mr11a_663_1 # mr11a_66None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [15, 9, 14, 10], [9, 15, 8, 16], [27, 19, 26, 20], [23, 11, 22, 12], [13, 25, 12, 26], [7, 21, 28, 22], [21, 27, 20, 28], [25, 18, 24, 17], [17, 24, 16, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_66","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_673_1 # 11a_673_1 # 11a_67None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 14, 19, 13], [14, 9, 15, 10], [8, 15, 9, 16], [26, 21, 27, 22], [22, 11, 23, 12], [12, 25, 13, 26], [28, 19, 7, 20], [20, 27, 21, 28], [24, 18, 25, 17], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_67","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_673_1 # r11a_673_1 # r11a_67None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 13, 18, 14], [15, 10, 14, 9], [9, 16, 8, 15], [27, 22, 26, 21], [23, 12, 22, 11], [13, 26, 12, 25], [7, 20, 28, 19], [21, 28, 20, 27], [25, 17, 24, 18], [17, 23, 16, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_67","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_673_1 # m11a_673_1 # m11a_67None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 13, 19, 14], [14, 10, 15, 9], [8, 16, 9, 15], [26, 22, 27, 21], [22, 12, 23, 11], [12, 26, 13, 25], [28, 20, 7, 19], [20, 28, 21, 27], [24, 17, 25, 18], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_67","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_673_1 # mr11a_673_1 # mr11a_67None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 14, 18, 13], [15, 9, 14, 10], [9, 15, 8, 16], [27, 21, 26, 22], [23, 11, 22, 12], [13, 25, 12, 26], [7, 19, 28, 20], [21, 27, 20, 28], [25, 18, 24, 17], [17, 24, 16, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_67","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_683_1 # 11a_683_1 # 11a_68None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [14, 9, 15, 10], [8, 15, 9, 16], [28, 21, 7, 22], [22, 11, 23, 12], [12, 27, 13, 28], [24, 18, 25, 17], [26, 20, 27, 19], [16, 24, 17, 23], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_68","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_683_1 # r11a_683_1 # r11a_68None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [15, 10, 14, 9], [9, 16, 8, 15], [7, 22, 28, 21], [23, 12, 22, 11], [13, 28, 12, 27], [25, 17, 24, 18], [27, 19, 26, 20], [17, 23, 16, 24], [19, 25, 18, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_68","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_683_1 # m11a_683_1 # m11a_68None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [14, 10, 15, 9], [8, 16, 9, 15], [28, 22, 7, 21], [22, 12, 23, 11], [12, 28, 13, 27], [24, 17, 25, 18], [26, 19, 27, 20], [16, 23, 17, 24], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_68","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_683_1 # mr11a_683_1 # mr11a_68None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [15, 9, 14, 10], [9, 15, 8, 16], [7, 21, 28, 22], [23, 11, 22, 12], [13, 27, 12, 28], [25, 18, 24, 17], [27, 20, 26, 19], [17, 24, 16, 23], [19, 26, 18, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_68","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_693_1 # 11a_693_1 # 11a_69None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [14, 9, 15, 10], [8, 15, 9, 16], [28, 21, 7, 22], [22, 11, 23, 12], [12, 27, 13, 28], [26, 20, 27, 19], [16, 26, 17, 25], [24, 18, 25, 17], [18, 24, 19, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_69","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_693_1 # r11a_693_1 # r11a_69None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [15, 10, 14, 9], [9, 16, 8, 15], [7, 22, 28, 21], [23, 12, 22, 11], [13, 28, 12, 27], [27, 19, 26, 20], [17, 25, 16, 26], [25, 17, 24, 18], [19, 23, 18, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_69","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_693_1 # m11a_693_1 # m11a_69None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [14, 10, 15, 9], [8, 16, 9, 15], [28, 22, 7, 21], [22, 12, 23, 11], [12, 28, 13, 27], [26, 19, 27, 20], [16, 25, 17, 26], [24, 17, 25, 18], [18, 23, 19, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_69","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_693_1 # mr11a_693_1 # mr11a_69None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [15, 9, 14, 10], [9, 15, 8, 16], [7, 21, 28, 22], [23, 11, 22, 12], [13, 27, 12, 28], [27, 20, 26, 19], [17, 26, 16, 25], [25, 18, 24, 17], [19, 24, 18, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_69","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_703_1 # 11a_703_1 # 11a_70None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [24, 12, 25, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 17, 23, 18], [18, 14, 19, 13], [12, 22, 13, 21], [16, 23, 17, 24], [28, 26, 7, 25], [26, 20, 27, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_70","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_703_1 # r11a_703_1 # r11a_70None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [25, 11, 24, 12], [15, 10, 14, 9], [9, 16, 8, 15], [23, 18, 22, 17], [19, 13, 18, 14], [13, 21, 12, 22], [17, 24, 16, 23], [7, 25, 28, 26], [27, 19, 26, 20], [21, 27, 20, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_70","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_703_1 # m11a_703_1 # m11a_70None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [24, 11, 25, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 18, 23, 17], [18, 13, 19, 14], [12, 21, 13, 22], [16, 24, 17, 23], [28, 25, 7, 26], [26, 19, 27, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_70","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_703_1 # mr11a_703_1 # mr11a_70None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [25, 12, 24, 11], [15, 9, 14, 10], [9, 15, 8, 16], [23, 17, 22, 18], [19, 14, 18, 13], [13, 22, 12, 21], [17, 23, 16, 24], [7, 26, 28, 25], [27, 20, 26, 19], [21, 28, 20, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_70","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_713_1 # 11a_713_1 # 11a_71None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [12, 24, 13, 23], [20, 14, 21, 13], [24, 19, 25, 20], [14, 25, 15, 26], [22, 28, 23, 27], [26, 22, 27, 21], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_71","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_713_1 # r11a_713_1 # r11a_71None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [7, 18, 28, 17], [19, 12, 18, 11], [13, 23, 12, 24], [21, 13, 20, 14], [25, 20, 24, 19], [15, 26, 14, 25], [23, 27, 22, 28], [27, 21, 26, 22], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_71","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_713_1 # m11a_713_1 # m11a_71None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [12, 23, 13, 24], [20, 13, 21, 14], [24, 20, 25, 19], [14, 26, 15, 25], [22, 27, 23, 28], [26, 21, 27, 22], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_71","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_713_1 # mr11a_713_1 # mr11a_71None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [17, 10, 16, 9], [7, 17, 28, 18], [19, 11, 18, 12], [13, 24, 12, 23], [21, 14, 20, 13], [25, 19, 24, 20], [15, 25, 14, 26], [23, 28, 22, 27], [27, 22, 26, 21], [9, 16, 8, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_71","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_723_1 # 11a_723_1 # 11a_72None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 10, 17, 9], [28, 17, 7, 18], [18, 11, 19, 12], [24, 20, 25, 19], [20, 14, 21, 13], [12, 25, 13, 26], [22, 27, 23, 28], [26, 21, 27, 22], [14, 24, 15, 23], [8, 16, 9, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_72","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_723_1 # r11a_723_1 # r11a_72None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [17, 9, 16, 10], [7, 18, 28, 17], [19, 12, 18, 11], [25, 19, 24, 20], [21, 13, 20, 14], [13, 26, 12, 25], [23, 28, 22, 27], [27, 22, 26, 21], [15, 23, 14, 24], [9, 15, 8, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_72","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_723_1 # m11a_723_1 # m11a_72None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [16, 9, 17, 10], [28, 18, 7, 17], [18, 12, 19, 11], [24, 19, 25, 20], [20, 13, 21, 14], [12, 26, 13, 25], [22, 28, 23, 27], [26, 22, 27, 21], [14, 23, 15, 24], [8, 15, 9, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_72","mirror":true,"reverse":false}]falsefalsechiral[]