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_1833_1 # m11a_1833_1 # m11a_183None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 21, 7, 22], [22, 14, 23, 13], [12, 28, 13, 27], [26, 18, 27, 17], [14, 26, 15, 25], [24, 16, 25, 15], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_183","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1843_1 # 11a_1843_1 # 11a_184None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 18, 7, 17], [12, 28, 13, 27], [22, 13, 23, 14], [26, 21, 27, 22], [24, 15, 25, 16], [14, 23, 15, 24], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_184","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1843_1 # m11a_1843_1 # m11a_184None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 17, 7, 18], [12, 27, 13, 28], [22, 14, 23, 13], [26, 22, 27, 21], [24, 16, 25, 15], [14, 24, 15, 23], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_184","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1853_1 # 11a_1853_1 # 11a_185None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 18, 7, 17], [12, 28, 13, 27], [22, 13, 23, 14], [26, 21, 27, 22], [14, 25, 15, 26], [24, 15, 25, 16], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_185","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1853_1 # m11a_1853_1 # m11a_185None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 17, 7, 18], [12, 27, 13, 28], [22, 14, 23, 13], [26, 22, 27, 21], [14, 26, 15, 25], [24, 16, 25, 15], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_185","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1863_1 # 11a_1863_1 # 11a_186None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [20, 12, 21, 11], [22, 14, 23, 13], [26, 16, 27, 15], [28, 24, 7, 23], [24, 28, 25, 27], [12, 22, 13, 21], [14, 26, 15, 25], [16, 20, 17, 19], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_186","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1863_1 # m11a_1863_1 # m11a_186None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [20, 11, 21, 12], [22, 13, 23, 14], [26, 15, 27, 16], [28, 23, 7, 24], [24, 27, 25, 28], [12, 21, 13, 22], [14, 25, 15, 26], [16, 19, 17, 20], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_186","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1873_1 # 11a_1873_1 # 11a_187None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [26, 16, 27, 15], [24, 27, 25, 28], [12, 23, 13, 24], [22, 13, 23, 14], [14, 21, 15, 22], [16, 26, 17, 25], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_187","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1873_1 # r11a_1873_1 # r11a_187None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 9, 18, 10], [7, 20, 28, 19], [21, 12, 20, 11], [27, 15, 26, 16], [25, 28, 24, 27], [13, 24, 12, 23], [23, 14, 22, 13], [15, 22, 14, 21], [17, 25, 16, 26], [9, 17, 8, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_187","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1873_1 # m11a_1873_1 # m11a_187None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [26, 15, 27, 16], [24, 28, 25, 27], [12, 24, 13, 23], [22, 14, 23, 13], [14, 22, 15, 21], [16, 25, 17, 26], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_187","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1873_1 # mr11a_1873_1 # mr11a_187None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 10, 18, 9], [7, 19, 28, 20], [21, 11, 20, 12], [27, 16, 26, 15], [25, 27, 24, 28], [13, 23, 12, 24], [23, 13, 22, 14], [15, 21, 14, 22], [17, 26, 16, 25], [9, 18, 8, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_187","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1883_1 # 11a_1883_1 # 11a_188None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [22, 14, 23, 13], [12, 22, 13, 21], [28, 24, 7, 23], [24, 17, 25, 18], [26, 15, 27, 16], [16, 25, 17, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_188","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1883_1 # m11a_1883_1 # m11a_188None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [22, 13, 23, 14], [12, 21, 13, 22], [28, 23, 7, 24], [24, 18, 25, 17], [26, 16, 27, 15], [16, 26, 17, 25], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_188","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1893_1 # 11a_1893_1 # 11a_189None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 16, 7, 15], [24, 17, 25, 18], [12, 25, 13, 26], [22, 13, 23, 14], [16, 23, 17, 24], [26, 22, 27, 21], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_189","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1893_1 # r11a_1893_1 # r11a_189None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 11, 20, 12], [19, 10, 18, 9], [9, 20, 8, 19], [7, 15, 28, 16], [25, 18, 24, 17], [13, 26, 12, 25], [23, 14, 22, 13], [17, 24, 16, 23], [27, 21, 26, 22], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_189","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1893_1 # m11a_1893_1 # m11a_189None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 15, 7, 16], [24, 18, 25, 17], [12, 26, 13, 25], [22, 14, 23, 13], [16, 24, 17, 23], [26, 21, 27, 22], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_189","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1893_1 # mr11a_1893_1 # mr11a_189None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 12, 20, 11], [19, 9, 18, 10], [9, 19, 8, 20], [7, 16, 28, 15], [25, 17, 24, 18], [13, 25, 12, 26], [23, 13, 22, 14], [17, 23, 16, 24], [27, 22, 26, 21], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_189","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_1903_1 # 11a_1903_1 # 11a_190None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [20, 11, 21, 12], [26, 21, 27, 22], [22, 16, 23, 15], [24, 14, 25, 13], [14, 24, 15, 23], [12, 26, 13, 25], [16, 27, 17, 28], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_190","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1903_1 # m11a_1903_1 # m11a_190None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [20, 12, 21, 11], [26, 22, 27, 21], [22, 15, 23, 16], [24, 13, 25, 14], [14, 23, 15, 24], [12, 25, 13, 26], [16, 28, 17, 27], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_190","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1913_1 # 11a_1913_1 # 11a_191None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [20, 12, 21, 11], [24, 14, 25, 13], [28, 22, 7, 21], [22, 28, 23, 27], [26, 16, 27, 15], [12, 24, 13, 23], [14, 26, 15, 25], [16, 20, 17, 19], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_191","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1913_1 # m11a_1913_1 # m11a_191None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [20, 11, 21, 12], [24, 13, 25, 14], [28, 21, 7, 22], [22, 27, 23, 28], [26, 15, 27, 16], [12, 23, 13, 24], [14, 25, 15, 26], [16, 19, 17, 20], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_191","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1923_1 # 11a_1923_1 # 11a_192None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [20, 12, 21, 11], [26, 16, 27, 15], [28, 22, 7, 21], [22, 28, 23, 27], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23], [16, 20, 17, 19], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_192","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1923_1 # m11a_1923_1 # m11a_192None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [20, 11, 21, 12], [26, 15, 27, 16], [28, 21, 7, 22], [22, 27, 23, 28], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24], [16, 19, 17, 20], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_192","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1933_1 # 11a_1933_1 # 11a_193None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 22, 7, 21], [22, 17, 23, 18], [24, 13, 25, 14], [26, 15, 27, 16], [14, 25, 15, 26], [16, 23, 17, 24], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_193","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1933_1 # m11a_1933_1 # m11a_193None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 21, 7, 22], [22, 18, 23, 17], [24, 14, 25, 13], [26, 16, 27, 15], [14, 26, 15, 25], [16, 24, 17, 23], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_193","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1943_1 # 11a_1943_1 # 11a_194None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 22, 7, 21], [22, 15, 23, 16], [14, 27, 15, 28], [26, 13, 27, 14], [12, 25, 13, 26], [24, 17, 25, 18], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_194","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1943_1 # m11a_1943_1 # m11a_194None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 21, 7, 22], [22, 16, 23, 15], [14, 28, 15, 27], [26, 14, 27, 13], [12, 26, 13, 25], [24, 18, 25, 17], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_194","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1953_1 # 11a_1953_1 # 11a_195None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 22, 7, 21], [22, 17, 23, 18], [26, 13, 27, 14], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_195","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1953_1 # m11a_1953_1 # m11a_195None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 21, 7, 22], [22, 18, 23, 17], [26, 14, 27, 13], [24, 16, 25, 15], [16, 24, 17, 23], [14, 26, 15, 25], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_195","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1963_1 # 11a_1963_1 # 11a_196None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 12, 21, 11], [18, 9, 19, 10], [8, 19, 9, 20], [28, 16, 7, 15], [24, 17, 25, 18], [16, 23, 17, 24], [12, 25, 13, 26], [26, 13, 27, 14], [14, 22, 15, 21], [22, 27, 23, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_196","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1963_1 # m11a_1963_1 # m11a_196None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 11, 21, 12], [18, 10, 19, 9], [8, 20, 9, 19], [28, 15, 7, 16], [24, 18, 25, 17], [16, 24, 17, 23], [12, 26, 13, 25], [26, 14, 27, 13], [14, 21, 15, 22], [22, 28, 23, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_196","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1973_1 # 11a_1973_1 # 11a_197None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [20, 14, 21, 13], [24, 16, 25, 15], [26, 24, 27, 23], [12, 27, 13, 28], [22, 11, 23, 12], [16, 26, 17, 25], [14, 20, 15, 19], [28, 21, 7, 22], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_197","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1973_1 # m11a_1973_1 # m11a_197None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [20, 13, 21, 14], [24, 15, 25, 16], [26, 23, 27, 24], [12, 28, 13, 27], [22, 12, 23, 11], [16, 25, 17, 26], [14, 19, 15, 20], [28, 22, 7, 21], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_197","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1983_1 # 11a_1983_1 # 11a_198None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 19, 7, 20], [22, 11, 23, 12], [14, 27, 15, 28], [24, 16, 25, 15], [26, 24, 27, 23], [16, 26, 17, 25], [20, 13, 21, 14], [12, 21, 13, 22], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_198","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_1983_1 # m11a_1983_1 # m11a_198None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 20, 7, 19], [22, 12, 23, 11], [14, 28, 15, 27], [24, 15, 25, 16], [26, 23, 27, 24], [16, 25, 17, 26], [20, 14, 21, 13], [12, 22, 13, 21], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_198","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_1993_1 # 11a_1993_1 # 11a_199None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [12, 22, 13, 21], [28, 24, 7, 23], [24, 15, 25, 16], [14, 27, 15, 28], [26, 17, 27, 18], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_199","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_1993_1 # r11a_1993_1 # r11a_199None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [19, 10, 18, 9], [9, 20, 8, 19], [23, 11, 22, 12], [13, 21, 12, 22], [7, 23, 28, 24], [25, 16, 24, 15], [15, 28, 14, 27], [27, 18, 26, 17], [17, 26, 16, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_199","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_1993_1 # m11a_1993_1 # m11a_199None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [12, 21, 13, 22], [28, 23, 7, 24], [24, 16, 25, 15], [14, 28, 15, 27], [26, 18, 27, 17], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_199","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_1993_1 # mr11a_1993_1 # mr11a_199None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [19, 9, 18, 10], [9, 19, 8, 20], [23, 12, 22, 11], [13, 22, 12, 21], [7, 24, 28, 23], [25, 15, 24, 16], [15, 27, 14, 28], [27, 17, 26, 18], [17, 25, 16, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_199","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2003_1 # 11a_2003_1 # 11a_200None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [22, 12, 23, 11], [26, 16, 27, 15], [28, 24, 7, 23], [24, 28, 25, 27], [14, 26, 15, 25], [20, 14, 21, 13], [16, 20, 17, 19], [12, 22, 13, 21], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_200","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2003_1 # m11a_2003_1 # m11a_200None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [22, 11, 23, 12], [26, 15, 27, 16], [28, 23, 7, 24], [24, 27, 25, 28], [14, 25, 15, 26], [20, 13, 21, 14], [16, 19, 17, 20], [12, 21, 13, 22], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_200","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2013_1 # 11a_2013_1 # 11a_201None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [12, 22, 13, 21], [28, 24, 7, 23], [24, 17, 25, 18], [26, 15, 27, 16], [16, 25, 17, 26], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_201","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2013_1 # r11a_2013_1 # r11a_201None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [19, 10, 18, 9], [9, 20, 8, 19], [23, 11, 22, 12], [13, 21, 12, 22], [7, 23, 28, 24], [25, 18, 24, 17], [27, 16, 26, 15], [17, 26, 16, 25], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_201","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2013_1 # m11a_2013_1 # m11a_201None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [12, 21, 13, 22], [28, 23, 7, 24], [24, 18, 25, 17], [26, 16, 27, 15], [16, 26, 17, 25], [14, 28, 15, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_201","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2013_1 # mr11a_2013_1 # mr11a_201None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [19, 9, 18, 10], [9, 19, 8, 20], [23, 12, 22, 11], [13, 22, 12, 21], [7, 24, 28, 23], [25, 17, 24, 18], [27, 15, 26, 16], [17, 25, 16, 26], [15, 27, 14, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_201","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2023_1 # 11a_2023_1 # 11a_202None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 16, 21, 15], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [24, 14, 25, 13], [12, 24, 13, 23], [14, 22, 15, 21], [28, 26, 7, 25], [26, 17, 27, 18], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_202","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2023_1 # m11a_2023_1 # m11a_202None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 15, 21, 16], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [24, 13, 25, 14], [12, 23, 13, 24], [14, 21, 15, 22], [28, 25, 7, 26], [26, 18, 27, 17], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_202","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2033_1 # 11a_2033_1 # 11a_203None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [22, 12, 23, 11], [24, 14, 25, 13], [26, 16, 27, 15], [28, 19, 7, 20], [12, 24, 13, 23], [14, 26, 15, 25], [20, 27, 21, 28], [16, 22, 17, 21], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_203","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2033_1 # m11a_2033_1 # m11a_203None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [22, 11, 23, 12], [24, 13, 25, 14], [26, 15, 27, 16], [28, 20, 7, 19], [12, 23, 13, 24], [14, 25, 15, 26], [20, 28, 21, 27], [16, 21, 17, 22], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_203","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2043_1 # 11a_2043_1 # 11a_204None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [22, 12, 23, 11], [26, 16, 27, 15], [28, 19, 7, 20], [12, 26, 13, 25], [24, 14, 25, 13], [14, 24, 15, 23], [20, 27, 21, 28], [16, 22, 17, 21], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_204","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2043_1 # m11a_2043_1 # m11a_204None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [22, 11, 23, 12], [26, 15, 27, 16], [28, 20, 7, 19], [12, 25, 13, 26], [24, 13, 25, 14], [14, 23, 15, 24], [20, 28, 21, 27], [16, 21, 17, 22], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_204","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2053_1 # 11a_2053_1 # 11a_205None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [28, 24, 7, 23], [24, 13, 25, 14], [12, 27, 13, 28], [26, 15, 27, 16], [14, 25, 15, 26], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_205","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2053_1 # m11a_2053_1 # m11a_205None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [28, 23, 7, 24], [24, 14, 25, 13], [12, 28, 13, 27], [26, 16, 27, 15], [14, 26, 15, 25], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_205","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2063_1 # 11a_2063_1 # 11a_206None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [28, 21, 7, 22], [22, 11, 23, 12], [24, 13, 25, 14], [26, 15, 27, 16], [12, 23, 13, 24], [14, 25, 15, 26], [16, 27, 17, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_206","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2063_1 # m11a_2063_1 # m11a_206None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [28, 22, 7, 21], [22, 12, 23, 11], [24, 14, 25, 13], [26, 16, 27, 15], [12, 24, 13, 23], [14, 26, 15, 25], [16, 28, 17, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_206","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2073_1 # 11a_2073_1 # 11a_207None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [28, 21, 7, 22], [22, 11, 23, 12], [24, 13, 25, 14], [12, 23, 13, 24], [14, 27, 15, 28], [26, 15, 27, 16], [16, 25, 17, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_207","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2073_1 # m11a_2073_1 # m11a_207None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [28, 22, 7, 21], [22, 12, 23, 11], [24, 14, 25, 13], [12, 24, 13, 23], [14, 28, 15, 27], [26, 16, 27, 15], [16, 26, 17, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_207","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2083_1 # 11a_2083_1 # 11a_208None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [28, 21, 7, 22], [22, 11, 23, 12], [12, 27, 13, 28], [26, 15, 27, 16], [24, 13, 25, 14], [14, 25, 15, 26], [16, 23, 17, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_208","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2083_1 # m11a_2083_1 # m11a_208None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [28, 22, 7, 21], [22, 12, 23, 11], [12, 28, 13, 27], [26, 16, 27, 15], [24, 14, 25, 13], [14, 26, 15, 25], [16, 24, 17, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_208","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2093_1 # 11a_2093_1 # 11a_209None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [26, 13, 27, 14], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [24, 17, 25, 18], [16, 25, 17, 26], [20, 16, 21, 15], [14, 22, 15, 21], [28, 24, 7, 23], [12, 27, 13, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_209","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2093_1 # r11a_2093_1 # r11a_209None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [27, 14, 26, 13], [19, 10, 18, 9], [9, 20, 8, 19], [23, 11, 22, 12], [25, 18, 24, 17], [17, 26, 16, 25], [21, 15, 20, 16], [15, 21, 14, 22], [7, 23, 28, 24], [13, 28, 12, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_209","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2093_1 # m11a_2093_1 # m11a_209None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [26, 14, 27, 13], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [24, 18, 25, 17], [16, 26, 17, 25], [20, 15, 21, 16], [14, 21, 15, 22], [28, 23, 7, 24], [12, 28, 13, 27]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_209","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2093_1 # mr11a_2093_1 # mr11a_209None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [27, 13, 26, 14], [19, 9, 18, 10], [9, 19, 8, 20], [23, 12, 22, 11], [25, 17, 24, 18], [17, 25, 16, 26], [21, 16, 20, 15], [15, 22, 14, 21], [7, 24, 28, 23], [13, 27, 12, 28]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_209","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2103_1 # 11a_2103_1 # 11a_210None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [22, 12, 23, 11], [28, 24, 7, 23], [24, 15, 25, 16], [26, 13, 27, 14], [14, 25, 15, 26], [12, 27, 13, 28], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_210","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2103_1 # m11a_2103_1 # m11a_210None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [22, 11, 23, 12], [28, 23, 7, 24], [24, 16, 25, 15], [26, 14, 27, 13], [14, 26, 15, 25], [12, 28, 13, 27], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_210","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2113_1 # 11a_2113_1 # 11a_211None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [28, 21, 7, 22], [22, 11, 23, 12], [12, 27, 13, 28], [26, 13, 27, 14], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_211","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2113_1 # m11a_2113_1 # m11a_211None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [28, 22, 7, 21], [22, 12, 23, 11], [12, 28, 13, 27], [26, 14, 27, 13], [24, 16, 25, 15], [16, 24, 17, 23], [14, 26, 15, 25]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_211","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2123_1 # 11a_2123_1 # 11a_212None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [28, 14, 7, 13], [22, 11, 23, 12], [12, 21, 13, 22], [26, 24, 27, 23], [14, 20, 15, 19], [16, 26, 17, 25], [24, 16, 25, 15], [20, 28, 21, 27], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_212","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2123_1 # m11a_2123_1 # m11a_212None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [28, 13, 7, 14], [22, 12, 23, 11], [12, 22, 13, 21], [26, 23, 27, 24], [14, 19, 15, 20], [16, 25, 17, 26], [24, 15, 25, 16], [20, 27, 21, 28], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_212","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2133_1 # 11a_2133_1 # 11a_213None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [22, 12, 23, 11], [24, 16, 25, 15], [28, 14, 7, 13], [14, 28, 15, 27], [26, 19, 27, 20], [12, 24, 13, 23], [20, 25, 21, 26], [16, 22, 17, 21], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_213","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2133_1 # r11a_2133_1 # r11a_213None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 9, 18, 10], [23, 11, 22, 12], [25, 15, 24, 16], [7, 13, 28, 14], [15, 27, 14, 28], [27, 20, 26, 19], [13, 23, 12, 24], [21, 26, 20, 25], [17, 21, 16, 22], [9, 17, 8, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_213","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2133_1 # m11a_2133_1 # m11a_213None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [22, 11, 23, 12], [24, 15, 25, 16], [28, 13, 7, 14], [14, 27, 15, 28], [26, 20, 27, 19], [12, 23, 13, 24], [20, 26, 21, 25], [16, 21, 17, 22], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_213","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2133_1 # mr11a_2133_1 # mr11a_213None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 10, 18, 9], [23, 12, 22, 11], [25, 16, 24, 15], [7, 14, 28, 13], [15, 28, 14, 27], [27, 19, 26, 20], [13, 24, 12, 23], [21, 25, 20, 26], [17, 22, 16, 21], [9, 18, 8, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_213","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2143_1 # 11a_2143_1 # 11a_214None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [22, 11, 23, 12], [18, 9, 19, 10], [8, 19, 9, 20], [20, 24, 21, 23], [24, 18, 25, 17], [28, 14, 7, 13], [26, 16, 27, 15], [16, 26, 17, 25], [14, 28, 15, 27], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_214","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2143_1 # m11a_2143_1 # m11a_214None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [22, 12, 23, 11], [18, 10, 19, 9], [8, 20, 9, 19], [20, 23, 21, 24], [24, 17, 25, 18], [28, 13, 7, 14], [26, 15, 27, 16], [16, 25, 17, 26], [14, 27, 15, 28], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_214","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2153_1 # 11a_2153_1 # 11a_215None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [20, 13, 21, 14], [14, 27, 15, 28], [26, 22, 27, 21], [28, 19, 7, 20], [12, 26, 13, 25], [16, 24, 17, 23], [22, 16, 23, 15], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_215","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2153_1 # m11a_2153_1 # m11a_215None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [24, 11, 25, 12], [20, 14, 21, 13], [14, 28, 15, 27], [26, 21, 27, 22], [28, 20, 7, 19], [12, 25, 13, 26], [16, 23, 17, 24], [22, 15, 23, 16], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_215","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2163_1 # 11a_2163_1 # 11a_216None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [26, 16, 27, 15], [20, 13, 21, 14], [14, 21, 15, 22], [28, 19, 7, 20], [12, 26, 13, 25], [22, 27, 23, 28], [16, 24, 17, 23], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_216","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2163_1 # r11a_2163_1 # r11a_216None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [19, 9, 18, 10], [25, 11, 24, 12], [27, 15, 26, 16], [21, 14, 20, 13], [15, 22, 14, 21], [7, 20, 28, 19], [13, 25, 12, 26], [23, 28, 22, 27], [17, 23, 16, 24], [9, 17, 8, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_216","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2163_1 # m11a_2163_1 # m11a_216None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [24, 11, 25, 12], [26, 15, 27, 16], [20, 14, 21, 13], [14, 22, 15, 21], [28, 20, 7, 19], [12, 25, 13, 26], [22, 28, 23, 27], [16, 23, 17, 24], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_216","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2163_1 # mr11a_2163_1 # mr11a_216None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [19, 10, 18, 9], [25, 12, 24, 11], [27, 16, 26, 15], [21, 13, 20, 14], [15, 21, 14, 22], [7, 19, 28, 20], [13, 26, 12, 25], [23, 27, 22, 28], [17, 24, 16, 23], [9, 18, 8, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_216","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2173_1 # 11a_2173_1 # 11a_217None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 14, 21, 13], [18, 9, 19, 10], [8, 19, 9, 20], [26, 15, 27, 16], [24, 11, 25, 12], [12, 25, 13, 26], [28, 23, 7, 24], [16, 27, 17, 28], [22, 18, 23, 17], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_217","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2173_1 # r11a_2173_1 # r11a_217None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 13, 20, 14], [19, 10, 18, 9], [9, 20, 8, 19], [27, 16, 26, 15], [25, 12, 24, 11], [13, 26, 12, 25], [7, 24, 28, 23], [17, 28, 16, 27], [23, 17, 22, 18], [15, 21, 14, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_217","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2173_1 # m11a_2173_1 # m11a_217None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 13, 21, 14], [18, 10, 19, 9], [8, 20, 9, 19], [26, 16, 27, 15], [24, 12, 25, 11], [12, 26, 13, 25], [28, 24, 7, 23], [16, 28, 17, 27], [22, 17, 23, 18], [14, 21, 15, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_217","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2173_1 # mr11a_2173_1 # mr11a_217None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 14, 20, 13], [19, 9, 18, 10], [9, 19, 8, 20], [27, 15, 26, 16], [25, 11, 24, 12], [13, 25, 12, 26], [7, 23, 28, 24], [17, 27, 16, 28], [23, 18, 22, 17], [15, 22, 14, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_217","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2183_1 # 11a_2183_1 # 11a_218None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [22, 14, 23, 13], [26, 15, 27, 16], [12, 27, 13, 28], [24, 11, 25, 12], [16, 25, 17, 26], [14, 22, 15, 21], [28, 23, 7, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_218","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r11a_2183_1 # r11a_2183_1 # r11a_218None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 10, 8], [21, 17, 20, 18], [19, 10, 18, 9], [9, 20, 8, 19], [23, 13, 22, 14], [27, 16, 26, 15], [13, 28, 12, 27], [25, 12, 24, 11], [17, 26, 16, 25], [15, 21, 14, 22], [7, 24, 28, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_218","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # m11a_2183_1 # m11a_2183_1 # m11a_218None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [22, 13, 23, 14], [26, 16, 27, 15], [12, 28, 13, 27], [24, 12, 25, 11], [16, 26, 17, 25], [14, 21, 15, 22], [28, 24, 7, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_218","mirror":true,"reverse":false}]falsefalsechiral[]
3_1 # mr11a_2183_1 # mr11a_2183_1 # mr11a_218None14truecomposite1[[11, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 10, 7], [21, 18, 20, 17], [19, 9, 18, 10], [9, 19, 8, 20], [23, 14, 22, 13], [27, 15, 26, 16], [13, 27, 12, 28], [25, 11, 24, 12], [17, 25, 16, 26], [15, 22, 14, 21], [7, 23, 28, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_218","mirror":true,"reverse":true}]falsefalsechiral[]
3_1 # 11a_2193_1 # 11a_2193_1 # 11a_219None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 18, 21, 17], [18, 9, 19, 10], [8, 19, 9, 20], [28, 21, 7, 22], [24, 11, 25, 12], [14, 27, 15, 28], [26, 15, 27, 16], [16, 25, 17, 26], [22, 13, 23, 14], [12, 23, 13, 24]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_219","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2193_1 # m11a_2193_1 # m11a_219None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 17, 21, 18], [18, 10, 19, 9], [8, 20, 9, 19], [28, 22, 7, 21], [24, 12, 25, 11], [14, 28, 15, 27], [26, 16, 27, 15], [16, 26, 17, 25], [22, 14, 23, 13], [12, 24, 13, 23]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_219","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2203_1 # 11a_2203_1 # 11a_220None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [26, 14, 27, 13], [28, 21, 7, 22], [12, 26, 13, 25], [22, 27, 23, 28], [20, 16, 21, 15], [16, 20, 17, 19], [14, 24, 15, 23], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_220","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2203_1 # m11a_2203_1 # m11a_220None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [24, 11, 25, 12], [26, 13, 27, 14], [28, 22, 7, 21], [12, 25, 13, 26], [22, 28, 23, 27], [20, 15, 21, 16], [16, 19, 17, 20], [14, 23, 15, 24], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_220","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2213_1 # 11a_2213_1 # 11a_221None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 16, 21, 15], [18, 9, 19, 10], [8, 19, 9, 20], [28, 23, 7, 24], [24, 11, 25, 12], [26, 13, 27, 14], [12, 25, 13, 26], [14, 27, 15, 28], [22, 18, 23, 17], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_221","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2213_1 # m11a_2213_1 # m11a_221None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 15, 21, 16], [18, 10, 19, 9], [8, 20, 9, 19], [28, 24, 7, 23], [24, 12, 25, 11], [26, 14, 27, 13], [12, 26, 13, 25], [14, 28, 15, 27], [22, 17, 23, 18], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_221","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2223_1 # 11a_2223_1 # 11a_222None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [20, 16, 21, 15], [18, 9, 19, 10], [8, 19, 9, 20], [28, 23, 7, 24], [24, 11, 25, 12], [12, 27, 13, 28], [26, 13, 27, 14], [14, 25, 15, 26], [22, 18, 23, 17], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_222","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2223_1 # m11a_2223_1 # m11a_222None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [20, 15, 21, 16], [18, 10, 19, 9], [8, 20, 9, 19], [28, 24, 7, 23], [24, 12, 25, 11], [12, 28, 13, 27], [26, 14, 27, 13], [14, 26, 15, 25], [22, 17, 23, 18], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_222","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2233_1 # 11a_2233_1 # 11a_223None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [26, 14, 27, 13], [28, 19, 7, 20], [12, 26, 13, 25], [20, 27, 21, 28], [16, 24, 17, 23], [22, 16, 23, 15], [14, 22, 15, 21], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_223","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m11a_2233_1 # m11a_2233_1 # m11a_223None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 11, 8], [18, 9, 19, 10], [24, 11, 25, 12], [26, 13, 27, 14], [28, 20, 7, 19], [12, 25, 13, 26], [20, 28, 21, 27], [16, 23, 17, 24], [22, 15, 23, 16], [14, 21, 15, 22], [8, 17, 9, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_223","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 11a_2243_1 # 11a_2243_1 # 11a_224None14truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [18, 10, 19, 9], [24, 12, 25, 11], [26, 14, 27, 13], [28, 19, 7, 20], [12, 26, 13, 25], [20, 27, 21, 28], [22, 16, 23, 15], [16, 22, 17, 21], [14, 24, 15, 23], [8, 18, 9, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11a_224","mirror":false,"reverse":false}]falsetruereversible[]