Yet Another Knot Database

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

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
m3_1 # 11a_349m3_1 # 11a_349m3_1 # 11a_349None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [18, 14, 19, 13], [22, 11, 23, 12], [8, 17, 9, 18], [16, 24, 17, 23], [24, 10, 25, 9], [10, 16, 11, 15], [14, 25, 15, 26], [26, 22, 27, 21], [28, 20, 7, 19], [20, 28, 21, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_349","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_349m3_1 # m11a_349m3_1 # m11a_349None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [18, 13, 19, 14], [22, 12, 23, 11], [8, 18, 9, 17], [16, 23, 17, 24], [24, 9, 25, 10], [10, 15, 11, 16], [14, 26, 15, 25], [26, 21, 27, 22], [28, 19, 7, 20], [20, 27, 21, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_349","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_350m3_1 # 11a_350m3_1 # 11a_350None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [10, 16, 11, 15], [24, 10, 25, 9], [16, 24, 17, 23], [8, 17, 9, 18], [26, 19, 27, 20], [18, 25, 19, 26], [14, 27, 15, 28], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_350","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_350m3_1 # m11a_350m3_1 # m11a_350None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [10, 15, 11, 16], [24, 9, 25, 10], [16, 23, 17, 24], [8, 18, 9, 17], [26, 20, 27, 19], [18, 26, 19, 25], [14, 28, 15, 27], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_350","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_351m3_1 # 11a_351m3_1 # 11a_351None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [8, 19, 9, 20], [18, 24, 19, 23], [24, 10, 25, 9], [10, 18, 11, 17], [26, 15, 27, 16], [14, 25, 15, 26], [16, 27, 17, 28], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_351","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_351m3_1 # m11a_351m3_1 # m11a_351None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [8, 20, 9, 19], [18, 23, 19, 24], [24, 9, 25, 10], [10, 17, 11, 18], [26, 16, 27, 15], [14, 26, 15, 25], [16, 28, 17, 27], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_351","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_352m3_1 # 11a_352m3_1 # 11a_352None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [8, 19, 9, 20], [18, 24, 19, 23], [24, 10, 25, 9], [10, 18, 11, 17], [14, 27, 15, 28], [26, 15, 27, 16], [16, 25, 17, 26], [28, 22, 7, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_352","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_352m3_1 # m11a_352m3_1 # m11a_352None14truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [8, 20, 9, 19], [18, 23, 19, 24], [24, 9, 25, 10], [10, 17, 11, 18], [14, 28, 15, 27], [26, 16, 27, 15], [16, 26, 17, 25], [28, 21, 7, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_352","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_353m3_1 # 11a_353m3_1 # 11a_353None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [22, 12, 23, 11], [28, 16, 7, 15], [16, 26, 17, 25], [18, 10, 19, 9], [10, 18, 11, 17], [20, 28, 21, 27], [26, 20, 27, 19], [24, 14, 25, 13], [8, 22, 9, 21], [12, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_353","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_353m3_1 # m11a_353m3_1 # m11a_353None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [22, 11, 23, 12], [28, 15, 7, 16], [16, 25, 17, 26], [18, 9, 19, 10], [10, 17, 11, 18], [20, 27, 21, 28], [26, 19, 27, 20], [24, 13, 25, 14], [8, 21, 9, 22], [12, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_353","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_354m3_1 # 11a_354m3_1 # 11a_354None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [18, 10, 19, 9], [24, 18, 25, 17], [16, 26, 17, 25], [26, 14, 27, 13], [28, 20, 7, 19], [20, 28, 21, 27], [8, 16, 9, 15], [10, 24, 11, 23], [22, 12, 23, 11], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_354","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_354m3_1 # m11a_354m3_1 # m11a_354None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [18, 9, 19, 10], [24, 17, 25, 18], [16, 25, 17, 26], [26, 13, 27, 14], [28, 19, 7, 20], [20, 27, 21, 28], [8, 15, 9, 16], [10, 23, 11, 24], [22, 11, 23, 12], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_354","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_355m3_1 # 11a_355m3_1 # 11a_355None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [20, 10, 21, 9], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [18, 26, 19, 25], [22, 12, 23, 11], [24, 14, 25, 13], [8, 20, 9, 19], [10, 22, 11, 21], [12, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_355","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_355m3_1 # m11a_355m3_1 # m11a_355None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [20, 9, 21, 10], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [18, 25, 19, 26], [22, 11, 23, 12], [24, 13, 25, 14], [8, 19, 9, 20], [10, 21, 11, 22], [12, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_355","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_356m3_1 # 11a_356m3_1 # 11a_356None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [20, 10, 21, 9], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [18, 26, 19, 25], [24, 14, 25, 13], [8, 20, 9, 19], [10, 24, 11, 23], [22, 12, 23, 11], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_356","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_356m3_1 # m11a_356m3_1 # m11a_356None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [20, 9, 21, 10], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [18, 25, 19, 26], [24, 13, 25, 14], [8, 19, 9, 20], [10, 23, 11, 24], [22, 11, 23, 12], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_356","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_357m3_1 # 11a_357m3_1 # 11a_357None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [24, 14, 25, 13], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [18, 26, 19, 25], [8, 24, 9, 23], [22, 12, 23, 11], [20, 10, 21, 9], [10, 22, 11, 21], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_357","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_357m3_1 # m11a_357m3_1 # m11a_357None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [24, 13, 25, 14], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [18, 25, 19, 26], [8, 23, 9, 24], [22, 11, 23, 12], [20, 9, 21, 10], [10, 21, 11, 22], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_357","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_358m3_1 # 11a_358m3_1 # 11a_358None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [20, 10, 21, 9], [28, 16, 7, 15], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [22, 12, 23, 11], [24, 14, 25, 13], [8, 20, 9, 19], [10, 22, 11, 21], [12, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_358","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_358m3_1 # m11a_358m3_1 # m11a_358None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [20, 9, 21, 10], [28, 15, 7, 16], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [22, 11, 23, 12], [24, 13, 25, 14], [8, 19, 9, 20], [10, 21, 11, 22], [12, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_358","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_359m3_1 # 11a_359m3_1 # 11a_359None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [20, 10, 21, 9], [28, 16, 7, 15], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [24, 14, 25, 13], [8, 20, 9, 19], [10, 24, 11, 23], [22, 12, 23, 11], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_359","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_359m3_1 # m11a_359m3_1 # m11a_359None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [20, 9, 21, 10], [28, 15, 7, 16], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [24, 13, 25, 14], [8, 19, 9, 20], [10, 23, 11, 24], [22, 11, 23, 12], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_359","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_360m3_1 # 11a_360m3_1 # 11a_360None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [24, 14, 25, 13], [28, 16, 7, 15], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [8, 24, 9, 23], [22, 12, 23, 11], [20, 10, 21, 9], [10, 22, 11, 21], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_360","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_360m3_1 # m11a_360m3_1 # m11a_360None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [24, 13, 25, 14], [28, 15, 7, 16], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [8, 23, 9, 24], [22, 11, 23, 12], [20, 9, 21, 10], [10, 21, 11, 22], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_360","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_361m3_1 # 11a_361m3_1 # 11a_361None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [22, 14, 23, 13], [24, 12, 25, 11], [26, 16, 27, 15], [28, 18, 7, 17], [16, 28, 17, 27], [12, 24, 13, 23], [18, 26, 19, 25], [8, 22, 9, 21], [20, 10, 21, 9], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_361","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_361m3_1 # m11a_361m3_1 # m11a_361None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [22, 13, 23, 14], [24, 11, 25, 12], [26, 15, 27, 16], [28, 17, 7, 18], [16, 27, 17, 28], [12, 23, 13, 24], [18, 25, 19, 26], [8, 21, 9, 22], [20, 9, 21, 10], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_361","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_362m3_1 # 11a_362m3_1 # 11a_362None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [22, 14, 23, 13], [24, 12, 25, 11], [28, 16, 7, 15], [26, 18, 27, 17], [12, 24, 13, 23], [18, 26, 19, 25], [16, 28, 17, 27], [8, 22, 9, 21], [20, 10, 21, 9], [10, 20, 11, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_362","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_362m3_1 # m11a_362m3_1 # m11a_362None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [22, 13, 23, 14], [24, 11, 25, 12], [28, 15, 7, 16], [26, 17, 27, 18], [12, 23, 13, 24], [18, 25, 19, 26], [16, 27, 17, 28], [8, 21, 9, 22], [20, 9, 21, 10], [10, 19, 11, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_362","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_363m3_1 # 11a_363m3_1 # 11a_363None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 15, 7], [24, 14, 25, 13], [28, 16, 7, 15], [26, 18, 27, 17], [18, 26, 19, 25], [16, 28, 17, 27], [8, 24, 9, 23], [22, 10, 23, 9], [20, 12, 21, 11], [12, 20, 13, 19], [10, 22, 11, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_363","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_363m3_1 # m11a_363m3_1 # m11a_363None14truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 15, 8], [24, 13, 25, 14], [28, 15, 7, 16], [26, 17, 27, 18], [18, 25, 19, 26], [16, 27, 17, 28], [8, 23, 9, 24], [22, 9, 23, 10], [20, 11, 21, 12], [12, 19, 13, 20], [10, 21, 11, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_363","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_364m3_1 # 11a_364m3_1 # 11a_364None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 17, 7], [20, 10, 21, 9], [28, 18, 7, 17], [18, 28, 19, 27], [22, 12, 23, 11], [24, 14, 25, 13], [26, 16, 27, 15], [8, 20, 9, 19], [10, 22, 11, 21], [12, 24, 13, 23], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_364","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_364m3_1 # m11a_364m3_1 # m11a_364None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 17, 8], [20, 9, 21, 10], [28, 17, 7, 18], [18, 27, 19, 28], [22, 11, 23, 12], [24, 13, 25, 14], [26, 15, 27, 16], [8, 19, 9, 20], [10, 21, 11, 22], [12, 23, 13, 24], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_364","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_365m3_1 # 11a_365m3_1 # 11a_365None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 17, 7], [20, 10, 21, 9], [28, 18, 7, 17], [18, 28, 19, 27], [22, 12, 23, 11], [26, 16, 27, 15], [8, 20, 9, 19], [10, 22, 11, 21], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_365","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_365m3_1 # m11a_365m3_1 # m11a_365None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 17, 8], [20, 9, 21, 10], [28, 17, 7, 18], [18, 27, 19, 28], [22, 11, 23, 12], [26, 15, 27, 16], [8, 19, 9, 20], [10, 21, 11, 22], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_365","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_366m3_1 # 11a_366m3_1 # 11a_366None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 17, 7], [22, 12, 23, 11], [28, 18, 7, 17], [18, 28, 19, 27], [26, 16, 27, 15], [8, 22, 9, 21], [20, 10, 21, 9], [10, 20, 11, 19], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_366","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_366m3_1 # m11a_366m3_1 # m11a_366None14truecomposite1[[16, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 17, 8], [22, 11, 23, 12], [28, 17, 7, 18], [18, 27, 19, 28], [26, 15, 27, 16], [8, 21, 9, 22], [20, 9, 21, 10], [10, 19, 11, 20], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_366","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11a_367m3_1 # 11a_367m3_1 # 11a_367None14truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 19, 7], [20, 10, 21, 9], [22, 12, 23, 11], [24, 14, 25, 13], [26, 16, 27, 15], [28, 18, 7, 17], [8, 20, 9, 19], [10, 22, 11, 21], [12, 24, 13, 23], [14, 26, 15, 25], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_367","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11a_367m3_1 # m11a_367m3_1 # m11a_367None14truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 19, 8], [20, 9, 21, 10], [22, 11, 23, 12], [24, 13, 25, 14], [26, 15, 27, 16], [28, 17, 7, 18], [8, 19, 9, 20], [10, 21, 11, 22], [12, 23, 13, 24], [14, 25, 15, 26], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11a_367","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_1m3_1 # 11n_1m3_1 # 11n_1NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 22, 18, 23], [20, 13, 21, 14], [12, 21, 13, 22], [19, 26, 20, 27], [23, 28, 24, 7], [27, 24, 28, 25], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_1m3_1 # m11n_1m3_1 # m11n_1NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 23, 18, 22], [20, 14, 21, 13], [12, 22, 13, 21], [19, 27, 20, 26], [23, 7, 24, 28], [27, 25, 28, 24], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_2m3_1 # 11n_2m3_1 # 11n_2NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 18, 23, 17], [13, 21, 14, 20], [21, 13, 22, 12], [26, 20, 27, 19], [28, 24, 7, 23], [24, 28, 25, 27], [18, 26, 19, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_2m3_1 # m11n_2m3_1 # m11n_2NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 17, 23, 18], [13, 20, 14, 21], [21, 12, 22, 13], [26, 19, 27, 20], [28, 23, 7, 24], [24, 27, 25, 28], [18, 25, 19, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_3m3_1 # 11n_3m3_1 # 11n_3NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 22, 18, 23], [13, 21, 14, 20], [21, 13, 22, 12], [19, 26, 20, 27], [23, 28, 24, 7], [27, 24, 28, 25], [25, 18, 26, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_3m3_1 # m11n_3m3_1 # m11n_3NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 23, 18, 22], [13, 20, 14, 21], [21, 12, 22, 13], [19, 27, 20, 26], [23, 7, 24, 28], [27, 25, 28, 24], [25, 19, 26, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_3","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_4m3_1 # 11n_4m3_1 # 11n_4NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [24, 18, 25, 17], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [18, 24, 19, 23], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_4","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_4m3_1 # r11n_4m3_1 # r11n_4NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [25, 17, 24, 18], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [19, 23, 18, 24], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_4","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_4m3_1 # m11n_4m3_1 # m11n_4NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [24, 17, 25, 18], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [18, 23, 19, 24], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_4","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_4m3_1 # mr11n_4m3_1 # mr11n_4NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [25, 18, 24, 17], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [19, 24, 18, 23], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_4","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_5m3_1 # 11n_5m3_1 # 11n_5NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [17, 24, 18, 25], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [23, 18, 24, 19], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_5","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_5m3_1 # r11n_5m3_1 # r11n_5NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [18, 25, 17, 24], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [24, 19, 23, 18], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_5","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_5m3_1 # m11n_5m3_1 # m11n_5NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [17, 25, 18, 24], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [23, 19, 24, 18], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_5","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_5m3_1 # mr11n_5m3_1 # mr11n_5NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [18, 24, 17, 25], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [24, 18, 23, 19], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_5","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_6m3_1 # 11n_6m3_1 # 11n_6NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [17, 24, 18, 25], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 18, 24, 19], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_6","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_6m3_1 # r11n_6m3_1 # r11n_6NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [18, 25, 17, 24], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 19, 23, 18], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_6","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_6m3_1 # m11n_6m3_1 # m11n_6NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [17, 25, 18, 24], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 19, 24, 18], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_6","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_6m3_1 # mr11n_6m3_1 # mr11n_6NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [18, 24, 17, 25], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 18, 23, 19], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_6","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_7m3_1 # 11n_7m3_1 # 11n_7NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [24, 18, 25, 17], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [18, 24, 19, 23], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_7","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_7m3_1 # r11n_7m3_1 # r11n_7NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [25, 17, 24, 18], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [19, 23, 18, 24], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_7","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_7m3_1 # m11n_7m3_1 # m11n_7NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [24, 17, 25, 18], [28, 25, 7, 26], [26, 21, 27, 22], [22, 27, 23, 28], [18, 23, 19, 24], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_7","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_7m3_1 # mr11n_7m3_1 # mr11n_7NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [25, 18, 24, 17], [7, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [19, 24, 18, 23], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_7","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_8m3_1 # 11n_8m3_1 # 11n_8NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [17, 24, 18, 25], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 18, 24, 19], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_8","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_8m3_1 # r11n_8m3_1 # r11n_8NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [18, 25, 17, 24], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 19, 23, 18], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_8","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_8m3_1 # m11n_8m3_1 # m11n_8NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [17, 25, 18, 24], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 19, 24, 18], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_8","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_8m3_1 # mr11n_8m3_1 # mr11n_8NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [18, 24, 17, 25], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 18, 23, 19], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_8","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_9m3_1 # 11n_9m3_1 # 11n_9NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [20, 14, 21, 13], [21, 27, 22, 26], [17, 25, 18, 24], [25, 19, 26, 18], [23, 7, 24, 28], [27, 23, 28, 22], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_9","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_9m3_1 # r11n_9m3_1 # r11n_9NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [21, 13, 20, 14], [22, 26, 21, 27], [18, 24, 17, 25], [26, 18, 25, 19], [24, 28, 23, 7], [28, 22, 27, 23], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_9","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_9m3_1 # m11n_9m3_1 # m11n_9NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [20, 13, 21, 14], [21, 26, 22, 27], [17, 24, 18, 25], [25, 18, 26, 19], [23, 28, 24, 7], [27, 22, 28, 23], [12, 19, 13, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_9","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_9m3_1 # mr11n_9m3_1 # mr11n_9NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [21, 14, 20, 13], [22, 27, 21, 26], [18, 25, 17, 24], [26, 19, 25, 18], [24, 7, 23, 28], [28, 23, 27, 22], [13, 20, 12, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_9","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_10m3_1 # 11n_10m3_1 # 11n_10NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [26, 21, 27, 22], [24, 17, 25, 18], [18, 25, 19, 26], [28, 23, 7, 24], [22, 27, 23, 28], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_10","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_10m3_1 # r11n_10m3_1 # r11n_10NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [27, 22, 26, 21], [25, 18, 24, 17], [19, 26, 18, 25], [7, 24, 28, 23], [23, 28, 22, 27], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_10","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_10m3_1 # m11n_10m3_1 # m11n_10NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [26, 22, 27, 21], [24, 18, 25, 17], [18, 26, 19, 25], [28, 24, 7, 23], [22, 28, 23, 27], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_10","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_10m3_1 # mr11n_10m3_1 # mr11n_10NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [27, 21, 26, 22], [25, 17, 24, 18], [19, 25, 18, 26], [7, 23, 28, 24], [23, 27, 22, 28], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_10","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_11m3_1 # 11n_11m3_1 # 11n_11NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [21, 27, 22, 26], [17, 25, 18, 24], [25, 19, 26, 18], [23, 7, 24, 28], [27, 23, 28, 22], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_11","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_11m3_1 # r11n_11m3_1 # r11n_11NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [17, 11, 16, 12], [15, 10, 14, 9], [9, 16, 8, 15], [14, 21, 13, 20], [22, 26, 21, 27], [18, 24, 17, 25], [26, 18, 25, 19], [24, 28, 23, 7], [28, 22, 27, 23], [20, 13, 19, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_11","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_11m3_1 # m11n_11m3_1 # m11n_11NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [21, 26, 22, 27], [17, 24, 18, 25], [25, 18, 26, 19], [23, 28, 24, 7], [27, 22, 28, 23], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_11","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_11m3_1 # mr11n_11m3_1 # mr11n_11NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [17, 12, 16, 11], [15, 9, 14, 10], [9, 15, 8, 16], [14, 20, 13, 21], [22, 27, 21, 26], [18, 25, 17, 24], [26, 19, 25, 18], [24, 7, 23, 28], [28, 23, 27, 22], [20, 12, 19, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_11","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_12m3_1 # 11n_12m3_1 # 11n_12NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 20, 14, 21], [23, 27, 24, 26], [17, 25, 18, 24], [25, 19, 26, 18], [21, 7, 22, 28], [27, 23, 28, 22], [19, 12, 20, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_12","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_12m3_1 # m11n_12m3_1 # m11n_12NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 21, 14, 20], [23, 26, 24, 27], [17, 24, 18, 25], [25, 18, 26, 19], [21, 28, 22, 7], [27, 22, 28, 23], [19, 13, 20, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_12","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_13m3_1 # 11n_13m3_1 # 11n_13NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [23, 7, 24, 28], [17, 25, 18, 24], [19, 27, 20, 26], [25, 19, 26, 18], [27, 21, 28, 20], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_13","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_13m3_1 # m11n_13m3_1 # m11n_13NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [23, 28, 24, 7], [17, 24, 18, 25], [19, 26, 20, 27], [25, 18, 26, 19], [27, 20, 28, 21], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_13","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_14m3_1 # 11n_14m3_1 # 11n_14NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [28, 23, 7, 24], [24, 17, 25, 18], [26, 19, 27, 20], [18, 25, 19, 26], [20, 27, 21, 28], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_14","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_14m3_1 # m11n_14m3_1 # m11n_14NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [28, 24, 7, 23], [24, 18, 25, 17], [26, 20, 27, 19], [18, 26, 19, 25], [20, 28, 21, 27], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_14","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_15m3_1 # 11n_15m3_1 # 11n_15NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [23, 7, 24, 28], [17, 25, 18, 24], [19, 27, 20, 26], [25, 19, 26, 18], [27, 21, 28, 20], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_15","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_15m3_1 # m11n_15m3_1 # m11n_15NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [23, 28, 24, 7], [17, 24, 18, 25], [19, 26, 20, 27], [25, 18, 26, 19], [27, 20, 28, 21], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_15","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_16m3_1 # 11n_16m3_1 # 11n_16NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [22, 14, 23, 13], [23, 7, 24, 28], [17, 25, 18, 24], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_16","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_16m3_1 # m11n_16m3_1 # m11n_16NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [22, 13, 23, 14], [23, 28, 24, 7], [17, 24, 18, 25], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_16","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_17m3_1 # 11n_17m3_1 # 11n_17NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [28, 23, 7, 24], [24, 17, 25, 18], [18, 27, 19, 28], [26, 19, 27, 20], [20, 25, 21, 26], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_17","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_17m3_1 # m11n_17m3_1 # m11n_17NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [28, 24, 7, 23], [24, 18, 25, 17], [18, 28, 19, 27], [26, 20, 27, 19], [20, 26, 21, 25], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_17","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_18m3_1 # 11n_18m3_1 # 11n_18NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [13, 22, 14, 23], [23, 7, 24, 28], [17, 25, 18, 24], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_18","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_18m3_1 # m11n_18m3_1 # m11n_18NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [13, 23, 14, 22], [23, 28, 24, 7], [17, 24, 18, 25], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_18","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_19m3_1 # 11n_19m3_1 # 11n_19NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 24, 18, 25], [13, 23, 14, 22], [23, 13, 24, 12], [19, 26, 20, 27], [21, 28, 22, 7], [25, 18, 26, 19], [27, 20, 28, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_19","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_19m3_1 # m11n_19m3_1 # m11n_19NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 25, 18, 24], [13, 22, 14, 23], [23, 12, 24, 13], [19, 27, 20, 26], [21, 7, 22, 28], [25, 19, 26, 18], [27, 21, 28, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_19","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_20m3_1 # 11n_20m3_1 # 11n_20NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 12, 17, 11], [14, 9, 15, 10], [8, 15, 9, 16], [17, 24, 18, 25], [13, 23, 14, 22], [23, 13, 24, 12], [21, 28, 22, 7], [27, 18, 28, 19], [19, 26, 20, 27], [25, 20, 26, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_20","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m11n_20m3_1 # m11n_20m3_1 # m11n_20NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [16, 11, 17, 12], [14, 10, 15, 9], [8, 16, 9, 15], [17, 25, 18, 24], [13, 22, 14, 23], [23, 12, 24, 13], [21, 7, 22, 28], [27, 19, 28, 18], [19, 27, 20, 26], [25, 21, 26, 20]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_20","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 11n_21m3_1 # 11n_21m3_1 # 11n_21NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [15, 21, 16, 20], [18, 11, 19, 12], [12, 19, 13, 20], [17, 25, 18, 24], [25, 28, 26, 7], [21, 26, 22, 27], [27, 22, 28, 23], [23, 17, 24, 16], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_21","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_21m3_1 # r11n_21m3_1 # r11n_21NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [16, 20, 15, 21], [19, 12, 18, 11], [13, 20, 12, 19], [18, 24, 17, 25], [26, 7, 25, 28], [22, 27, 21, 26], [28, 23, 27, 22], [24, 16, 23, 17], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_21","mirror":false,"reverse":true}]falsefalsechiral[]
m3_1 # m11n_21m3_1 # m11n_21m3_1 # m11n_21NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 11, 8], [14, 9, 15, 10], [15, 20, 16, 21], [18, 12, 19, 11], [12, 20, 13, 19], [17, 24, 18, 25], [25, 7, 26, 28], [21, 27, 22, 26], [27, 23, 28, 22], [23, 16, 24, 17], [8, 13, 9, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_21","mirror":true,"reverse":false}]falsefalsechiral[]
m3_1 # mr11n_21m3_1 # mr11n_21m3_1 # mr11n_21NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 10, 7], [15, 10, 14, 9], [16, 21, 15, 20], [19, 11, 18, 12], [13, 19, 12, 20], [18, 25, 17, 24], [26, 28, 25, 7], [22, 26, 21, 27], [28, 22, 27, 23], [24, 17, 23, 16], [9, 14, 8, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_21","mirror":true,"reverse":true}]falsefalsechiral[]
m3_1 # 11n_22m3_1 # 11n_22m3_1 # 11n_22NoneNonefalsecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [20, 15, 21, 16], [11, 19, 12, 18], [19, 13, 20, 12], [24, 17, 25, 18], [28, 26, 7, 25], [26, 22, 27, 21], [22, 28, 23, 27], [16, 23, 17, 24], [8, 14, 9, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_22","mirror":false,"reverse":false}]falsefalsechiral[]
m3_1 # r11n_22m3_1 # r11n_22m3_1 # r11n_22NoneNonefalsecomposite1[[11, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 10, 8], [15, 9, 14, 10], [21, 16, 20, 15], [12, 18, 11, 19], [20, 12, 19, 13], [25, 18, 24, 17], [7, 25, 28, 26], [27, 21, 26, 22], [23, 27, 22, 28], [17, 24, 16, 23], [9, 13, 8, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"11n_22","mirror":false,"reverse":true}]falsefalsechiral[]