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
4_1 # 10_264_1 # 10_264_1 # 10_26None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 22, 12, 23], [13, 25, 14, 24], [15, 27, 16, 26], [17, 9, 18, 28], [19, 12, 20, 13], [21, 10, 22, 11], [23, 19, 24, 18], [25, 17, 26, 16], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_26","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_264_1 # m10_264_1 # m10_26None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 23, 12, 22], [13, 24, 14, 25], [15, 26, 16, 27], [17, 28, 18, 9], [19, 13, 20, 12], [21, 11, 22, 10], [23, 18, 24, 19], [25, 16, 26, 17], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_26","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_274_1 # 10_274_1 # 10_27None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 26, 12, 27], [13, 24, 14, 25], [15, 22, 16, 23], [17, 21, 18, 20], [19, 11, 20, 10], [21, 28, 22, 9], [23, 12, 24, 13], [25, 14, 26, 15], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_27","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_274_1 # m10_274_1 # m10_27None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 27, 12, 26], [13, 25, 14, 24], [15, 23, 16, 22], [17, 20, 18, 21], [19, 10, 20, 11], [21, 9, 22, 28], [23, 13, 24, 12], [25, 15, 26, 14], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_27","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_284_1 # 10_284_1 # 10_28None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 22, 14, 23], [15, 19, 16, 18], [17, 11, 18, 10], [19, 28, 20, 9], [21, 26, 22, 27], [23, 12, 24, 13], [25, 14, 26, 15], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_28","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_284_1 # m10_284_1 # m10_28None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 23, 14, 22], [15, 18, 16, 19], [17, 10, 18, 11], [19, 9, 20, 28], [21, 27, 22, 26], [23, 13, 24, 12], [25, 15, 26, 14], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_28","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_294_1 # 10_294_1 # 10_29None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 10, 13, 9], [14, 19, 15, 20], [16, 26, 17, 25], [18, 28, 19, 27], [20, 13, 21, 14], [22, 11, 23, 12], [24, 22, 25, 21], [26, 18, 27, 17], [28, 16, 9, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_29","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_294_1 # m10_294_1 # m10_29None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 9, 13, 10], [14, 20, 15, 19], [16, 25, 17, 26], [18, 27, 19, 28], [20, 14, 21, 13], [22, 12, 23, 11], [24, 21, 25, 22], [26, 17, 27, 18], [28, 15, 9, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_29","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_304_1 # 10_304_1 # 10_30None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 19, 14, 18], [15, 27, 16, 26], [17, 9, 18, 28], [19, 13, 20, 12], [21, 10, 22, 11], [23, 21, 24, 20], [25, 17, 26, 16], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_30","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_304_1 # m10_304_1 # m10_30None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 18, 14, 19], [15, 26, 16, 27], [17, 28, 18, 9], [19, 12, 20, 13], [21, 11, 22, 10], [23, 20, 24, 21], [25, 16, 26, 17], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_30","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_314_1 # 10_314_1 # 10_31None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 11, 13], [12, 24, 13, 23], [14, 10, 15, 9], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 12, 23, 11], [24, 22, 25, 21], [26, 19, 27, 20], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_31","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_314_1 # m10_314_1 # m10_31None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 11, 14], [12, 23, 13, 24], [14, 9, 15, 10], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 11, 23, 12], [24, 21, 25, 22], [26, 20, 27, 19], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_31","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_324_1 # 10_324_1 # 10_32None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 18, 13, 17], [14, 23, 15, 24], [16, 25, 17, 26], [18, 28, 19, 27], [20, 10, 21, 9], [22, 20, 23, 19], [24, 15, 25, 16], [26, 13, 27, 14], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_32","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_324_1 # m10_324_1 # m10_32None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 17, 13, 18], [14, 24, 15, 23], [16, 26, 17, 25], [18, 27, 19, 28], [20, 9, 21, 10], [22, 19, 23, 20], [24, 16, 25, 15], [26, 14, 27, 13], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_32","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_334_1 # 10_334_1 # 10_33None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [22, 14, 23, 13], [28, 23, 9, 24], [24, 15, 25, 16], [16, 27, 17, 28], [26, 17, 27, 18], [18, 25, 19, 26], [10, 22, 11, 21], [20, 12, 21, 11], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_33","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_344_1 # 10_344_1 # 10_34None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 22, 12, 23], [13, 17, 14, 16], [15, 11, 16, 10], [17, 28, 18, 9], [19, 26, 20, 27], [21, 24, 22, 25], [23, 12, 24, 13], [25, 20, 26, 21], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_34","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_344_1 # m10_344_1 # m10_34None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 23, 12, 22], [13, 16, 14, 17], [15, 10, 16, 11], [17, 9, 18, 28], [19, 27, 20, 26], [21, 25, 22, 24], [23, 13, 24, 12], [25, 21, 26, 20], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_34","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_354_1 # 10_354_1 # 10_35None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 26, 12, 27], [13, 11, 14, 10], [15, 22, 16, 23], [17, 20, 18, 21], [19, 9, 20, 28], [21, 16, 22, 17], [23, 14, 24, 15], [25, 12, 26, 13], [27, 25, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_35","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_354_1 # m10_354_1 # m10_35None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 27, 12, 26], [13, 10, 14, 11], [15, 23, 16, 22], [17, 21, 18, 20], [19, 28, 20, 9], [21, 17, 22, 16], [23, 15, 24, 14], [25, 13, 26, 12], [27, 24, 28, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_35","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_364_1 # 10_364_1 # 10_36None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 22, 13, 21], [14, 20, 15, 19], [16, 26, 17, 25], [18, 16, 19, 15], [20, 14, 21, 13], [22, 28, 23, 27], [24, 9, 25, 10], [26, 18, 27, 17], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_36","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_364_1 # m10_364_1 # m10_36None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 21, 13, 22], [14, 19, 15, 20], [16, 25, 17, 26], [18, 15, 19, 16], [20, 13, 21, 14], [22, 27, 23, 28], [24, 10, 25, 9], [26, 17, 27, 18], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_36","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_374_1 # 10_374_1 # 10_37None14truecomposite1[[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [18, 12, 19, 11], [20, 16, 21, 15], [16, 20, 17, 19], [26, 23, 27, 24], [24, 13, 25, 14], [14, 25, 15, 26], [28, 21, 9, 22], [22, 27, 23, 28], [10, 18, 11, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_37","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_384_1 # 10_384_1 # 10_38None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 20, 13, 19], [14, 18, 15, 17], [16, 25, 17, 26], [18, 14, 19, 13], [20, 28, 21, 27], [22, 10, 23, 9], [24, 22, 25, 21], [26, 15, 27, 16], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_38","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_384_1 # m10_384_1 # m10_38None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 19, 13, 20], [14, 17, 15, 18], [16, 26, 17, 25], [18, 13, 19, 14], [20, 27, 21, 28], [22, 9, 23, 10], [24, 21, 25, 22], [26, 16, 27, 15], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_38","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_394_1 # 10_394_1 # 10_39None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 27, 14, 26], [15, 19, 16, 18], [17, 9, 18, 28], [19, 15, 20, 14], [21, 10, 22, 11], [23, 21, 24, 20], [25, 13, 26, 12], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_39","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_394_1 # m10_394_1 # m10_39None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 26, 14, 27], [15, 18, 16, 19], [17, 28, 18, 9], [19, 14, 20, 15], [21, 11, 22, 10], [23, 20, 24, 21], [25, 12, 26, 13], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_39","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_404_1 # 10_404_1 # 10_40None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 27, 15, 28], [16, 21, 17, 22], [18, 9, 19, 10], [20, 17, 21, 18], [22, 13, 23, 14], [24, 12, 25, 11], [26, 24, 27, 23], [28, 15, 9, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_40","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_404_1 # m10_404_1 # m10_40None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 28, 15, 27], [16, 22, 17, 21], [18, 10, 19, 9], [20, 18, 21, 17], [22, 14, 23, 13], [24, 11, 25, 12], [26, 23, 27, 24], [28, 16, 9, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_40","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_414_1 # 10_414_1 # 10_41None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 18, 14, 19], [15, 27, 16, 26], [17, 14, 18, 15], [19, 9, 20, 28], [21, 10, 22, 11], [23, 21, 24, 20], [25, 17, 26, 16], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_41","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_414_1 # m10_414_1 # m10_41None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 19, 14, 18], [15, 26, 16, 27], [17, 15, 18, 14], [19, 28, 20, 9], [21, 11, 22, 10], [23, 20, 24, 21], [25, 16, 26, 17], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_41","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_424_1 # 10_424_1 # 10_42None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 26, 12, 27], [13, 22, 14, 23], [15, 19, 16, 18], [17, 11, 18, 10], [19, 28, 20, 9], [21, 25, 22, 24], [23, 12, 24, 13], [25, 21, 26, 20], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_42","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_424_1 # m10_424_1 # m10_42None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 27, 12, 26], [13, 23, 14, 22], [15, 18, 16, 19], [17, 10, 18, 11], [19, 9, 20, 28], [21, 24, 22, 25], [23, 13, 24, 12], [25, 20, 26, 21], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_42","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_434_1 # 10_434_1 # 10_43None14truecomposite1[[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [18, 12, 19, 11], [22, 16, 23, 15], [28, 19, 9, 20], [20, 27, 21, 28], [16, 22, 17, 21], [26, 23, 27, 24], [24, 13, 25, 14], [14, 25, 15, 26], [10, 18, 11, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_43","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_444_1 # 10_444_1 # 10_44None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 28, 14, 9], [15, 27, 16, 26], [17, 15, 18, 14], [19, 13, 20, 12], [21, 10, 22, 11], [23, 21, 24, 20], [25, 18, 26, 19], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_44","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_444_1 # m10_444_1 # m10_44None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 9, 14, 28], [15, 26, 16, 27], [17, 14, 18, 15], [19, 12, 20, 13], [21, 11, 22, 10], [23, 20, 24, 21], [25, 19, 26, 18], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_44","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_454_1 # 10_454_1 # 10_45None14truecomposite1[[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [20, 14, 21, 13], [18, 11, 19, 12], [10, 19, 11, 20], [28, 22, 9, 21], [22, 15, 23, 16], [14, 27, 15, 28], [26, 23, 27, 24], [24, 18, 25, 17], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_45","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_464_1 # 10_464_1 # 10_46None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 17, 12, 16], [13, 19, 14, 18], [15, 24, 16, 25], [17, 13, 18, 12], [19, 27, 20, 26], [21, 9, 22, 28], [23, 11, 24, 10], [25, 14, 26, 15], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_46","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_464_1 # m10_464_1 # m10_46None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 16, 12, 17], [13, 18, 14, 19], [15, 25, 16, 24], [17, 12, 18, 13], [19, 26, 20, 27], [21, 28, 22, 9], [23, 10, 24, 11], [25, 15, 26, 14], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_46","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_474_1 # 10_474_1 # 10_47None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 19, 13, 20], [14, 25, 15, 26], [16, 9, 17, 10], [18, 11, 19, 12], [20, 13, 21, 14], [22, 28, 23, 27], [24, 22, 25, 21], [26, 15, 27, 16], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_47","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_474_1 # m10_474_1 # m10_47None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 20, 13, 19], [14, 26, 15, 25], [16, 10, 17, 9], [18, 12, 19, 11], [20, 14, 21, 13], [22, 27, 23, 28], [24, 21, 25, 22], [26, 16, 27, 15], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_47","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_484_1 # 10_484_1 # 10_48None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [16, 12, 17, 11], [22, 14, 23, 13], [28, 23, 9, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [10, 16, 11, 15], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_48","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_484_1 # m10_484_1 # m10_48None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 15, 10], [16, 11, 17, 12], [22, 13, 23, 14], [28, 24, 9, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [10, 15, 11, 16], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_48","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_494_1 # 10_494_1 # 10_49None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 25, 12, 24], [13, 17, 14, 16], [15, 11, 16, 10], [17, 23, 18, 22], [19, 27, 20, 26], [21, 9, 22, 28], [23, 13, 24, 12], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_49","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_494_1 # m10_494_1 # m10_49None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 24, 12, 25], [13, 16, 14, 17], [15, 10, 16, 11], [17, 22, 18, 23], [19, 26, 20, 27], [21, 28, 22, 9], [23, 12, 24, 13], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_49","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_504_1 # 10_504_1 # 10_50None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 27, 12, 26], [13, 21, 14, 20], [15, 23, 16, 22], [17, 25, 18, 24], [19, 28, 20, 9], [21, 17, 22, 16], [23, 15, 24, 14], [25, 11, 26, 10], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_50","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_504_1 # m10_504_1 # m10_50None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 26, 12, 27], [13, 20, 14, 21], [15, 22, 16, 23], [17, 24, 18, 25], [19, 9, 20, 28], [21, 16, 22, 17], [23, 14, 24, 15], [25, 10, 26, 11], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_50","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_514_1 # 10_514_1 # 10_51None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 11, 25], [12, 19, 13, 20], [14, 21, 15, 22], [16, 23, 17, 24], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 10, 25, 9], [26, 17, 27, 18], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_51","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_514_1 # m10_514_1 # m10_51None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 11, 26], [12, 20, 13, 19], [14, 22, 15, 21], [16, 24, 17, 23], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 9, 25, 10], [26, 18, 27, 17], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_51","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_524_1 # 10_524_1 # 10_52None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 27, 12, 26], [13, 18, 14, 19], [15, 22, 16, 23], [17, 24, 18, 25], [19, 9, 20, 28], [21, 16, 22, 17], [23, 14, 24, 15], [25, 11, 26, 10], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_52","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_524_1 # m10_524_1 # m10_52None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 26, 12, 27], [13, 19, 14, 18], [15, 23, 16, 22], [17, 25, 18, 24], [19, 28, 20, 9], [21, 17, 22, 16], [23, 15, 24, 14], [25, 10, 26, 11], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_52","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_534_1 # 10_534_1 # 10_53None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 25, 12, 24], [13, 17, 14, 16], [15, 11, 16, 10], [17, 23, 18, 22], [19, 27, 20, 26], [21, 9, 22, 28], [23, 13, 24, 12], [25, 21, 26, 20], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_53","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_534_1 # m10_534_1 # m10_53None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 24, 12, 25], [13, 16, 14, 17], [15, 10, 16, 11], [17, 22, 18, 23], [19, 26, 20, 27], [21, 28, 22, 9], [23, 12, 24, 13], [25, 20, 26, 21], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_53","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_544_1 # 10_544_1 # 10_54None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 17, 13, 18], [14, 19, 15, 20], [16, 27, 17, 28], [18, 13, 19, 14], [20, 26, 21, 25], [22, 10, 23, 9], [24, 22, 25, 21], [26, 15, 27, 16], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_54","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_544_1 # m10_544_1 # m10_54None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 18, 13, 17], [14, 20, 15, 19], [16, 28, 17, 27], [18, 14, 19, 13], [20, 25, 21, 26], [22, 9, 23, 10], [24, 21, 25, 22], [26, 16, 27, 15], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_54","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_554_1 # 10_554_1 # 10_55None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 26, 13, 25], [14, 20, 15, 19], [16, 10, 17, 9], [18, 16, 19, 15], [20, 14, 21, 13], [22, 28, 23, 27], [24, 22, 25, 21], [26, 12, 27, 11], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_55","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_554_1 # m10_554_1 # m10_55None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 25, 13, 26], [14, 19, 15, 20], [16, 9, 17, 10], [18, 15, 19, 16], [20, 13, 21, 14], [22, 27, 23, 28], [24, 21, 25, 22], [26, 11, 27, 12], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_55","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_564_1 # 10_564_1 # 10_56None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 18, 13, 17], [14, 20, 15, 19], [16, 25, 17, 26], [18, 14, 19, 13], [20, 28, 21, 27], [22, 10, 23, 9], [24, 22, 25, 21], [26, 15, 27, 16], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_56","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_564_1 # m10_564_1 # m10_56None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 17, 13, 18], [14, 19, 15, 20], [16, 26, 17, 25], [18, 13, 19, 14], [20, 27, 21, 28], [22, 9, 23, 10], [24, 21, 25, 22], [26, 16, 27, 15], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_56","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_574_1 # 10_574_1 # 10_57None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 24, 12, 25], [13, 28, 14, 9], [15, 21, 16, 20], [17, 15, 18, 14], [19, 26, 20, 27], [21, 17, 22, 16], [23, 10, 24, 11], [25, 18, 26, 19], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_57","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_574_1 # m10_574_1 # m10_57None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 25, 12, 24], [13, 9, 14, 28], [15, 20, 16, 21], [17, 14, 18, 15], [19, 27, 20, 26], [21, 16, 22, 17], [23, 11, 24, 10], [25, 19, 26, 18], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_57","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_584_1 # 10_584_1 # 10_58None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 18, 13, 17], [14, 21, 15, 22], [16, 14, 17, 13], [18, 28, 19, 27], [20, 15, 21, 16], [22, 26, 23, 25], [24, 9, 25, 10], [26, 20, 27, 19], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_58","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_584_1 # m10_584_1 # m10_58None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 17, 13, 18], [14, 22, 15, 21], [16, 13, 17, 14], [18, 27, 19, 28], [20, 16, 21, 15], [22, 25, 23, 26], [24, 10, 25, 9], [26, 19, 27, 20], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_58","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_594_1 # 10_594_1 # 10_59None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 25, 12, 24], [13, 28, 14, 9], [15, 22, 16, 23], [17, 15, 18, 14], [19, 27, 20, 26], [21, 16, 22, 17], [23, 19, 24, 18], [25, 11, 26, 10], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_59","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_594_1 # m10_594_1 # m10_59None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 24, 12, 25], [13, 9, 14, 28], [15, 23, 16, 22], [17, 14, 18, 15], [19, 26, 20, 27], [21, 17, 22, 16], [23, 18, 24, 19], [25, 10, 26, 11], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_59","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_604_1 # 10_604_1 # 10_60None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 16, 13, 15], [14, 19, 15, 20], [16, 22, 17, 21], [18, 25, 19, 26], [20, 13, 21, 14], [22, 28, 23, 27], [24, 9, 25, 10], [26, 17, 27, 18], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_60","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_604_1 # m10_604_1 # m10_60None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 15, 13, 16], [14, 20, 15, 19], [16, 21, 17, 22], [18, 26, 19, 25], [20, 14, 21, 13], [22, 27, 23, 28], [24, 10, 25, 9], [26, 18, 27, 17], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_60","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_614_1 # 10_614_1 # 10_61None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 22, 14, 23], [15, 9, 16, 28], [17, 11, 18, 10], [19, 27, 20, 26], [21, 14, 22, 15], [23, 12, 24, 13], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_61","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_614_1 # m10_614_1 # m10_61None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 23, 14, 22], [15, 28, 16, 9], [17, 10, 18, 11], [19, 26, 20, 27], [21, 15, 22, 14], [23, 13, 24, 12], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_61","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_624_1 # 10_624_1 # 10_62None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 21, 15, 22], [16, 27, 17, 28], [18, 9, 19, 10], [20, 13, 21, 14], [22, 15, 23, 16], [24, 12, 25, 11], [26, 24, 27, 23], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_62","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_624_1 # m10_624_1 # m10_62None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 22, 15, 21], [16, 28, 17, 27], [18, 10, 19, 9], [20, 14, 21, 13], [22, 16, 23, 15], [24, 11, 25, 12], [26, 23, 27, 24], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_62","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_634_1 # 10_634_1 # 10_63None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 27, 12, 26], [13, 25, 14, 24], [15, 19, 16, 18], [17, 11, 18, 10], [19, 23, 20, 22], [21, 9, 22, 28], [23, 15, 24, 14], [25, 13, 26, 12], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_63","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_634_1 # m10_634_1 # m10_63None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 26, 12, 27], [13, 24, 14, 25], [15, 18, 16, 19], [17, 10, 18, 11], [19, 22, 20, 23], [21, 28, 22, 9], [23, 14, 24, 15], [25, 12, 26, 13], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_63","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_644_1 # 10_644_1 # 10_64None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 22, 15, 21], [16, 24, 17, 23], [18, 9, 19, 10], [20, 27, 21, 28], [22, 16, 23, 15], [24, 12, 25, 11], [26, 14, 27, 13], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_64","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_644_1 # m10_644_1 # m10_64None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 21, 15, 22], [16, 23, 17, 24], [18, 10, 19, 9], [20, 28, 21, 27], [22, 15, 23, 16], [24, 11, 25, 12], [26, 13, 27, 14], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_64","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_654_1 # 10_654_1 # 10_65None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 22, 14, 23], [15, 19, 16, 18], [17, 11, 18, 10], [19, 26, 20, 27], [21, 28, 22, 9], [23, 12, 24, 13], [25, 14, 26, 15], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_65","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_654_1 # m10_654_1 # m10_65None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 23, 14, 22], [15, 18, 16, 19], [17, 10, 18, 11], [19, 27, 20, 26], [21, 9, 22, 28], [23, 13, 24, 12], [25, 15, 26, 14], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_65","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_664_1 # 10_664_1 # 10_66None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 21, 12, 20], [13, 27, 14, 26], [15, 23, 16, 22], [17, 13, 18, 12], [19, 11, 20, 10], [21, 25, 22, 24], [23, 17, 24, 16], [25, 9, 26, 28], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_66","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_664_1 # m10_664_1 # m10_66None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 20, 12, 21], [13, 26, 14, 27], [15, 22, 16, 23], [17, 12, 18, 13], [19, 10, 20, 11], [21, 24, 22, 25], [23, 16, 24, 17], [25, 28, 26, 9], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_66","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_674_1 # 10_674_1 # 10_67None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 27, 12, 26], [13, 25, 14, 24], [15, 19, 16, 18], [17, 9, 18, 28], [19, 15, 20, 14], [21, 10, 22, 11], [23, 21, 24, 20], [25, 13, 26, 12], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_67","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_674_1 # r10_674_1 # r10_67None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 9, 22], [12, 26, 11, 27], [14, 24, 13, 25], [16, 18, 15, 19], [18, 28, 17, 9], [20, 14, 19, 15], [22, 11, 21, 10], [24, 20, 23, 21], [26, 12, 25, 13], [28, 16, 27, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_67","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_674_1 # m10_674_1 # m10_67None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 26, 12, 27], [13, 24, 14, 25], [15, 18, 16, 19], [17, 28, 18, 9], [19, 14, 20, 15], [21, 11, 22, 10], [23, 20, 24, 21], [25, 12, 26, 13], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_67","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_674_1 # mr10_674_1 # mr10_67None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 9, 23], [12, 27, 11, 26], [14, 25, 13, 24], [16, 19, 15, 18], [18, 9, 17, 28], [20, 15, 19, 14], [22, 10, 21, 11], [24, 21, 23, 20], [26, 13, 25, 12], [28, 17, 27, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_67","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_684_1 # 10_684_1 # 10_68None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 24, 12, 25], [13, 22, 14, 23], [15, 26, 16, 27], [17, 21, 18, 20], [19, 11, 20, 10], [21, 28, 22, 9], [23, 12, 24, 13], [25, 16, 26, 17], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_68","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_684_1 # m10_684_1 # m10_68None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 25, 12, 24], [13, 23, 14, 22], [15, 27, 16, 26], [17, 20, 18, 21], [19, 10, 20, 11], [21, 9, 22, 28], [23, 13, 24, 12], [25, 17, 26, 16], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_68","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_694_1 # 10_694_1 # 10_69None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 25, 13, 26], [14, 10, 15, 9], [16, 27, 17, 28], [18, 15, 19, 16], [20, 11, 21, 12], [22, 20, 23, 19], [24, 13, 25, 14], [26, 24, 27, 23], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_69","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_694_1 # m10_694_1 # m10_69None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 26, 13, 25], [14, 9, 15, 10], [16, 28, 17, 27], [18, 16, 19, 15], [20, 12, 21, 11], [22, 19, 23, 20], [24, 14, 25, 13], [26, 23, 27, 24], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_69","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_704_1 # 10_704_1 # 10_70None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 19, 13, 20], [14, 21, 15, 22], [16, 28, 17, 27], [18, 15, 19, 16], [20, 13, 21, 14], [22, 26, 23, 25], [24, 9, 25, 10], [26, 18, 27, 17], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_70","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_704_1 # m10_704_1 # m10_70None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 20, 13, 19], [14, 22, 15, 21], [16, 27, 17, 28], [18, 16, 19, 15], [20, 14, 21, 13], [22, 25, 23, 26], [24, 10, 25, 9], [26, 17, 27, 18], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_70","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_714_1 # 10_714_1 # 10_71None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 16, 12, 17], [19, 23, 20, 22], [13, 21, 14, 20], [21, 15, 22, 14], [17, 27, 18, 26], [23, 28, 24, 9], [27, 24, 28, 25], [25, 19, 26, 18], [15, 10, 16, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_71","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_714_1 # m10_714_1 # m10_71None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [19, 22, 20, 23], [13, 20, 14, 21], [21, 14, 22, 15], [17, 26, 18, 27], [23, 9, 24, 28], [27, 25, 28, 24], [25, 18, 26, 19], [15, 11, 16, 10]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_71","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_724_1 # 10_724_1 # 10_72None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 20, 13, 19], [14, 22, 15, 21], [16, 26, 17, 25], [18, 16, 19, 15], [20, 14, 21, 13], [22, 28, 23, 27], [24, 9, 25, 10], [26, 18, 27, 17], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_72","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_724_1 # m10_724_1 # m10_72None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 19, 13, 20], [14, 21, 15, 22], [16, 25, 17, 26], [18, 15, 19, 16], [20, 13, 21, 14], [22, 27, 23, 28], [24, 10, 25, 9], [26, 17, 27, 18], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_72","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_734_1 # 10_734_1 # 10_73None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 15, 13, 16], [14, 21, 15, 22], [16, 20, 17, 19], [18, 25, 19, 26], [20, 13, 21, 14], [22, 28, 23, 27], [24, 9, 25, 10], [26, 17, 27, 18], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_73","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_734_1 # m10_734_1 # m10_73None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 16, 13, 15], [14, 22, 15, 21], [16, 19, 17, 20], [18, 26, 19, 25], [20, 14, 21, 13], [22, 27, 23, 28], [24, 10, 25, 9], [26, 18, 27, 17], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_73","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_744_1 # 10_744_1 # 10_74None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 23, 12, 22], [13, 25, 14, 24], [15, 9, 16, 28], [17, 27, 18, 26], [19, 10, 20, 11], [21, 19, 22, 18], [23, 15, 24, 14], [25, 13, 26, 12], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_74","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_744_1 # m10_744_1 # m10_74None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 22, 12, 23], [13, 24, 14, 25], [15, 28, 16, 9], [17, 26, 18, 27], [19, 11, 20, 10], [21, 18, 22, 19], [23, 14, 24, 15], [25, 12, 26, 13], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_74","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_754_1 # 10_754_1 # 10_75None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 26, 14, 27], [15, 13, 16, 12], [17, 28, 18, 9], [19, 17, 20, 16], [21, 10, 22, 11], [23, 21, 24, 20], [25, 14, 26, 15], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_75","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_754_1 # m10_754_1 # m10_75None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 27, 14, 26], [15, 12, 16, 13], [17, 9, 18, 28], [19, 16, 20, 17], [21, 11, 22, 10], [23, 20, 24, 21], [25, 15, 26, 14], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_75","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_764_1 # 10_764_1 # 10_76None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 26, 13, 25], [14, 28, 15, 27], [16, 22, 17, 21], [18, 24, 19, 23], [20, 9, 21, 10], [22, 18, 23, 17], [24, 16, 25, 15], [26, 14, 27, 13], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_76","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_764_1 # m10_764_1 # m10_76None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 25, 13, 26], [14, 27, 15, 28], [16, 21, 17, 22], [18, 23, 19, 24], [20, 10, 21, 9], [22, 17, 23, 18], [24, 15, 25, 16], [26, 13, 27, 14], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_76","mirror":true,"reverse":false}]falsetruereversible[]