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_774_1 # 10_774_1 # 10_77None14truecomposite1[[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, 26, 18, 27], [19, 28, 20, 9], [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_77","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_774_1 # m10_774_1 # m10_77None14truecomposite1[[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, 27, 18, 26], [19, 9, 20, 28], [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_77","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_784_1 # 10_784_1 # 10_78None14truecomposite1[[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, 21, 18, 20], [19, 9, 20, 28], [21, 26, 22, 27], [23, 13, 24, 12], [25, 22, 26, 23], [27, 19, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_78","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_784_1 # m10_784_1 # m10_78None14truecomposite1[[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, 20, 18, 21], [19, 28, 20, 9], [21, 27, 22, 26], [23, 12, 24, 13], [25, 23, 26, 22], [27, 18, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_78","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_794_1 # 10_794_1 # 10_79None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [16, 12, 17, 11], [20, 14, 21, 13], [26, 21, 27, 22], [24, 17, 25, 18], [18, 25, 19, 26], [28, 23, 9, 24], [22, 27, 23, 28], [10, 16, 11, 15], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_79","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_794_1 # r10_794_1 # r10_79None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [17, 11, 16, 12], [21, 13, 20, 14], [27, 22, 26, 21], [25, 18, 24, 17], [19, 26, 18, 25], [9, 24, 28, 23], [23, 28, 22, 27], [11, 15, 10, 16], [13, 19, 12, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_79","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_804_1 # 10_804_1 # 10_80None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 19, 12, 18], [13, 27, 14, 26], [15, 21, 16, 20], [17, 13, 18, 12], [19, 23, 20, 22], [21, 17, 22, 16], [23, 9, 24, 28], [25, 11, 26, 10], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_80","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_804_1 # r10_804_1 # r10_80None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 9, 25], [12, 18, 11, 19], [14, 26, 13, 27], [16, 20, 15, 21], [18, 12, 17, 13], [20, 22, 19, 23], [22, 16, 21, 17], [24, 28, 23, 9], [26, 10, 25, 11], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_80","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_804_1 # m10_804_1 # m10_80None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 18, 12, 19], [13, 26, 14, 27], [15, 20, 16, 21], [17, 12, 18, 13], [19, 22, 20, 23], [21, 16, 22, 17], [23, 28, 24, 9], [25, 10, 26, 11], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_80","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_804_1 # mr10_804_1 # mr10_80None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 9, 24], [12, 19, 11, 18], [14, 27, 13, 26], [16, 21, 15, 20], [18, 13, 17, 12], [20, 23, 19, 22], [22, 17, 21, 16], [24, 9, 23, 28], [26, 11, 25, 10], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_80","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_814_1 # 10_814_1 # 10_81None14truecomposite1[[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 12, 17, 11], [20, 14, 21, 13], [24, 17, 25, 18], [28, 25, 9, 26], [26, 21, 27, 22], [22, 27, 23, 28], [18, 23, 19, 24], [14, 20, 15, 19], [10, 16, 11, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_81","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_814_1 # r10_814_1 # r10_81None14truecomposite1[[13, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 12, 10], [17, 11, 16, 12], [21, 13, 20, 14], [25, 18, 24, 17], [9, 26, 28, 25], [27, 22, 26, 21], [23, 28, 22, 27], [19, 24, 18, 23], [15, 19, 14, 20], [11, 15, 10, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_81","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_824_1 # 10_824_1 # 10_82None14truecomposite1[[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, 27, 14, 26], [15, 9, 16, 28], [17, 10, 18, 11], [19, 24, 20, 25], [21, 17, 22, 16], [23, 18, 24, 19], [25, 13, 26, 12], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_82","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_824_1 # r10_824_1 # r10_82None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 9, 20], [12, 22, 11, 23], [14, 26, 13, 27], [16, 28, 15, 9], [18, 11, 17, 10], [20, 25, 19, 24], [22, 16, 21, 17], [24, 19, 23, 18], [26, 12, 25, 13], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_82","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_824_1 # m10_824_1 # m10_82None14truecomposite1[[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, 26, 14, 27], [15, 28, 16, 9], [17, 11, 18, 10], [19, 25, 20, 24], [21, 16, 22, 17], [23, 19, 24, 18], [25, 12, 26, 13], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_82","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_824_1 # mr10_824_1 # mr10_82None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 9, 21], [12, 23, 11, 22], [14, 27, 13, 26], [16, 9, 15, 28], [18, 10, 17, 11], [20, 24, 19, 25], [22, 17, 21, 16], [24, 18, 23, 19], [26, 13, 25, 12], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_82","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_834_1 # 10_834_1 # 10_83None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 18, 13, 17], [14, 9, 15, 10], [16, 24, 17, 23], [18, 25, 19, 26], [20, 27, 21, 28], [22, 14, 23, 13], [24, 11, 25, 12], [26, 21, 27, 22], [28, 19, 9, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_83","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_834_1 # r10_834_1 # r10_83None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 15], [13, 17, 12, 18], [15, 10, 14, 9], [17, 23, 16, 24], [19, 26, 18, 25], [21, 28, 20, 27], [23, 13, 22, 14], [25, 12, 24, 11], [27, 22, 26, 21], [9, 20, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_83","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_834_1 # m10_834_1 # m10_83None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 17, 13, 18], [14, 10, 15, 9], [16, 23, 17, 24], [18, 26, 19, 25], [20, 28, 21, 27], [22, 13, 23, 14], [24, 12, 25, 11], [26, 22, 27, 21], [28, 20, 9, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_83","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_834_1 # mr10_834_1 # mr10_83None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 16], [13, 18, 12, 17], [15, 9, 14, 10], [17, 24, 16, 23], [19, 25, 18, 26], [21, 27, 20, 28], [23, 14, 22, 13], [25, 11, 24, 12], [27, 21, 26, 22], [9, 19, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_83","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_844_1 # 10_844_1 # 10_84None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 10, 13, 9], [14, 21, 15, 22], [16, 20, 17, 19], [18, 12, 19, 11], [20, 25, 21, 26], [22, 28, 23, 27], [24, 15, 25, 16], [26, 14, 27, 13], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_84","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_844_1 # r10_844_1 # r10_84None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 18], [13, 9, 12, 10], [15, 22, 14, 21], [17, 19, 16, 20], [19, 11, 18, 12], [21, 26, 20, 25], [23, 27, 22, 28], [25, 16, 24, 15], [27, 13, 26, 14], [9, 23, 28, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_84","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_844_1 # m10_844_1 # m10_84None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 9, 13, 10], [14, 22, 15, 21], [16, 19, 17, 20], [18, 11, 19, 12], [20, 26, 21, 25], [22, 27, 23, 28], [24, 16, 25, 15], [26, 13, 27, 14], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_84","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_844_1 # mr10_844_1 # mr10_84None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 17], [13, 10, 12, 9], [15, 21, 14, 22], [17, 20, 16, 19], [19, 12, 18, 11], [21, 25, 20, 26], [23, 28, 22, 27], [25, 15, 24, 16], [27, 14, 26, 13], [9, 24, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_84","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_854_1 # 10_854_1 # 10_85None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 18, 13, 17], [14, 9, 15, 10], [16, 24, 17, 23], [18, 25, 19, 26], [20, 27, 21, 28], [22, 14, 23, 13], [24, 11, 25, 12], [26, 19, 27, 20], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_85","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_854_1 # r10_854_1 # r10_85None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 15], [13, 17, 12, 18], [15, 10, 14, 9], [17, 23, 16, 24], [19, 26, 18, 25], [21, 28, 20, 27], [23, 13, 22, 14], [25, 12, 24, 11], [27, 20, 26, 19], [9, 22, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_85","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_854_1 # m10_854_1 # m10_85None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 17, 13, 18], [14, 10, 15, 9], [16, 23, 17, 24], [18, 26, 19, 25], [20, 28, 21, 27], [22, 13, 23, 14], [24, 12, 25, 11], [26, 20, 27, 19], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_85","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_854_1 # mr10_854_1 # mr10_85None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 16], [13, 18, 12, 17], [15, 9, 14, 10], [17, 24, 16, 23], [19, 25, 18, 26], [21, 27, 20, 28], [23, 14, 22, 13], [25, 11, 24, 12], [27, 19, 26, 20], [9, 21, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_85","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_864_1 # 10_864_1 # 10_86None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 18, 13, 17], [14, 9, 15, 10], [16, 23, 17, 24], [18, 26, 19, 25], [20, 28, 21, 27], [22, 12, 23, 11], [24, 13, 25, 14], [26, 22, 27, 21], [28, 20, 9, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_86","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_864_1 # r10_864_1 # r10_86None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 15], [13, 17, 12, 18], [15, 10, 14, 9], [17, 24, 16, 23], [19, 25, 18, 26], [21, 27, 20, 28], [23, 11, 22, 12], [25, 14, 24, 13], [27, 21, 26, 22], [9, 19, 28, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_86","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_864_1 # m10_864_1 # m10_86None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 17, 13, 18], [14, 10, 15, 9], [16, 24, 17, 23], [18, 25, 19, 26], [20, 27, 21, 28], [22, 11, 23, 12], [24, 14, 25, 13], [26, 21, 27, 22], [28, 19, 9, 20]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_86","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_864_1 # mr10_864_1 # mr10_86None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 16], [13, 18, 12, 17], [15, 9, 14, 10], [17, 23, 16, 24], [19, 26, 18, 25], [21, 28, 20, 27], [23, 12, 22, 11], [25, 13, 24, 14], [27, 22, 26, 21], [9, 20, 28, 19]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_86","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_874_1 # 10_874_1 # 10_87None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 22, 13, 21], [14, 9, 15, 10], [16, 24, 17, 23], [18, 16, 19, 15], [20, 27, 21, 28], [22, 26, 23, 25], [24, 18, 25, 17], [26, 12, 27, 11], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_87","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_874_1 # r10_874_1 # r10_87None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 19], [13, 21, 12, 22], [15, 10, 14, 9], [17, 23, 16, 24], [19, 15, 18, 16], [21, 28, 20, 27], [23, 25, 22, 26], [25, 17, 24, 18], [27, 11, 26, 12], [9, 14, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_87","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_874_1 # m10_874_1 # m10_87None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 21, 13, 22], [14, 10, 15, 9], [16, 23, 17, 24], [18, 15, 19, 16], [20, 28, 21, 27], [22, 25, 23, 26], [24, 17, 25, 18], [26, 11, 27, 12], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_87","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_874_1 # mr10_874_1 # mr10_87None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 20], [13, 22, 12, 21], [15, 9, 14, 10], [17, 24, 16, 23], [19, 16, 18, 15], [21, 27, 20, 28], [23, 26, 22, 25], [25, 18, 24, 17], [27, 12, 26, 11], [9, 13, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_87","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_884_1 # 10_884_1 # 10_88None14truecomposite1[[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [28, 22, 9, 21], [16, 11, 17, 12], [10, 17, 11, 18], [22, 15, 23, 16], [26, 23, 27, 24], [20, 14, 21, 13], [18, 26, 19, 25], [24, 20, 25, 19], [14, 27, 15, 28]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_88","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_884_1 # r10_884_1 # r10_88None14truecomposite1[[13, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 12, 10], [9, 21, 28, 22], [17, 12, 16, 11], [11, 18, 10, 17], [23, 16, 22, 15], [27, 24, 26, 23], [21, 13, 20, 14], [19, 25, 18, 26], [25, 19, 24, 20], [15, 28, 14, 27]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_88","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_894_1 # 10_894_1 # 10_89None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 21, 13, 22], [14, 20, 15, 19], [16, 9, 17, 10], [18, 23, 19, 24], [20, 27, 21, 28], [22, 26, 23, 25], [24, 17, 25, 18], [26, 13, 27, 14], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_89","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_894_1 # m10_894_1 # m10_89None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 22, 13, 21], [14, 19, 15, 20], [16, 10, 17, 9], [18, 24, 19, 23], [20, 28, 21, 27], [22, 25, 23, 26], [24, 18, 25, 17], [26, 14, 27, 13], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_89","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_904_1 # 10_904_1 # 10_90None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 21, 13, 22], [14, 28, 15, 27], [16, 24, 17, 23], [18, 11, 19, 12], [20, 26, 21, 25], [22, 9, 23, 10], [24, 20, 25, 19], [26, 16, 27, 15], [28, 14, 9, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_90","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_904_1 # r10_904_1 # r10_90None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 17], [13, 22, 12, 21], [15, 27, 14, 28], [17, 23, 16, 24], [19, 12, 18, 11], [21, 25, 20, 26], [23, 10, 22, 9], [25, 19, 24, 20], [27, 15, 26, 16], [9, 13, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_90","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_904_1 # m10_904_1 # m10_90None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 22, 13, 21], [14, 27, 15, 28], [16, 23, 17, 24], [18, 12, 19, 11], [20, 25, 21, 26], [22, 10, 23, 9], [24, 19, 25, 20], [26, 15, 27, 16], [28, 13, 9, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_90","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_904_1 # mr10_904_1 # mr10_90None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 18], [13, 21, 12, 22], [15, 28, 14, 27], [17, 24, 16, 23], [19, 11, 18, 12], [21, 26, 20, 25], [23, 9, 22, 10], [25, 20, 24, 19], [27, 16, 26, 15], [9, 14, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_90","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_914_1 # 10_914_1 # 10_91None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [28, 14, 9, 13], [24, 17, 25, 18], [18, 11, 19, 12], [10, 26, 11, 25], [22, 15, 23, 16], [16, 23, 17, 24], [20, 28, 21, 27], [26, 20, 27, 19], [12, 21, 13, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_91","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_914_1 # r10_914_1 # r10_91None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [9, 13, 28, 14], [25, 18, 24, 17], [19, 12, 18, 11], [11, 25, 10, 26], [23, 16, 22, 15], [17, 24, 16, 23], [21, 27, 20, 28], [27, 19, 26, 20], [13, 22, 12, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_91","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_914_1 # m10_914_1 # m10_91None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 15, 10], [28, 13, 9, 14], [24, 18, 25, 17], [18, 12, 19, 11], [10, 25, 11, 26], [22, 16, 23, 15], [16, 24, 17, 23], [20, 27, 21, 28], [26, 19, 27, 20], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_91","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_914_1 # mr10_914_1 # mr10_91None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 14, 9], [9, 14, 28, 13], [25, 17, 24, 18], [19, 11, 18, 12], [11, 26, 10, 25], [23, 15, 22, 16], [17, 23, 16, 24], [21, 28, 20, 27], [27, 20, 26, 19], [13, 21, 12, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_91","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_924_1 # 10_924_1 # 10_92None14truecomposite1[[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, 20, 14, 21], [15, 19, 16, 18], [17, 11, 18, 10], [19, 25, 20, 24], [21, 12, 22, 13], [23, 9, 24, 28], [25, 15, 26, 14], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_92","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_924_1 # r10_924_1 # r10_92None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 9, 17], [12, 26, 11, 27], [14, 21, 13, 20], [16, 18, 15, 19], [18, 10, 17, 11], [20, 24, 19, 25], [22, 13, 21, 12], [24, 28, 23, 9], [26, 14, 25, 15], [28, 22, 27, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_92","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_924_1 # m10_924_1 # m10_92None14truecomposite1[[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, 21, 14, 20], [15, 18, 16, 19], [17, 10, 18, 11], [19, 24, 20, 25], [21, 13, 22, 12], [23, 28, 24, 9], [25, 14, 26, 15], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_92","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_924_1 # mr10_924_1 # mr10_92None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 9, 16], [12, 27, 11, 26], [14, 20, 13, 21], [16, 19, 15, 18], [18, 11, 17, 10], [20, 25, 19, 24], [22, 12, 21, 13], [24, 9, 23, 28], [26, 15, 25, 14], [28, 23, 27, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_92","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_934_1 # 10_934_1 # 10_93None14truecomposite1[[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, 28, 15, 27], [16, 23, 17, 24], [18, 14, 19, 13], [20, 12, 21, 11], [22, 15, 23, 16], [24, 9, 25, 10], [26, 21, 27, 22], [28, 18, 9, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_93","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_934_1 # r10_934_1 # r10_93None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 10, 25], [13, 19, 12, 20], [15, 27, 14, 28], [17, 24, 16, 23], [19, 13, 18, 14], [21, 11, 20, 12], [23, 16, 22, 15], [25, 10, 24, 9], [27, 22, 26, 21], [9, 17, 28, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_93","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_934_1 # m10_934_1 # m10_93None14truecomposite1[[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, 27, 15, 28], [16, 24, 17, 23], [18, 13, 19, 14], [20, 11, 21, 12], [22, 16, 23, 15], [24, 10, 25, 9], [26, 22, 27, 21], [28, 17, 9, 18]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_93","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_934_1 # mr10_934_1 # mr10_93None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 26], [13, 20, 12, 19], [15, 28, 14, 27], [17, 23, 16, 24], [19, 14, 18, 13], [21, 12, 20, 11], [23, 15, 22, 16], [25, 9, 24, 10], [27, 21, 26, 22], [9, 18, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_93","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_944_1 # 10_944_1 # 10_94None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 18, 12, 19], [13, 22, 14, 23], [15, 9, 16, 28], [17, 25, 18, 24], [19, 12, 20, 13], [21, 27, 22, 26], [23, 10, 24, 11], [25, 21, 26, 20], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_94","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_944_1 # r10_944_1 # r10_94None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 9, 17], [12, 19, 11, 18], [14, 23, 13, 22], [16, 28, 15, 9], [18, 24, 17, 25], [20, 13, 19, 12], [22, 26, 21, 27], [24, 11, 23, 10], [26, 20, 25, 21], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_94","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_944_1 # m10_944_1 # m10_94None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 19, 12, 18], [13, 23, 14, 22], [15, 28, 16, 9], [17, 24, 18, 25], [19, 13, 20, 12], [21, 26, 22, 27], [23, 11, 24, 10], [25, 20, 26, 21], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_94","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_944_1 # mr10_944_1 # mr10_94None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 9, 16], [12, 18, 11, 19], [14, 22, 13, 23], [16, 9, 15, 28], [18, 25, 17, 24], [20, 12, 19, 13], [22, 27, 21, 26], [24, 10, 23, 11], [26, 21, 25, 20], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_94","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_954_1 # 10_954_1 # 10_95None14truecomposite1[[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, 25, 15, 26], [16, 21, 17, 22], [18, 27, 19, 28], [20, 15, 21, 16], [22, 10, 23, 9], [24, 17, 25, 18], [26, 13, 27, 14], [28, 12, 9, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_95","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_954_1 # r10_954_1 # r10_95None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 24], [13, 20, 12, 19], [15, 26, 14, 25], [17, 22, 16, 21], [19, 28, 18, 27], [21, 16, 20, 15], [23, 9, 22, 10], [25, 18, 24, 17], [27, 14, 26, 13], [9, 11, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_95","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_954_1 # m10_954_1 # m10_95None14truecomposite1[[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, 26, 15, 25], [16, 22, 17, 21], [18, 28, 19, 27], [20, 16, 21, 15], [22, 9, 23, 10], [24, 18, 25, 17], [26, 14, 27, 13], [28, 11, 9, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_95","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_954_1 # mr10_954_1 # mr10_95None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 23], [13, 19, 12, 20], [15, 25, 14, 26], [17, 21, 16, 22], [19, 27, 18, 28], [21, 15, 20, 16], [23, 10, 22, 9], [25, 17, 24, 18], [27, 13, 26, 14], [9, 12, 28, 11]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_95","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_964_1 # 10_964_1 # 10_96None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 18, 12, 19], [13, 9, 14, 28], [15, 20, 16, 21], [17, 12, 18, 13], [19, 27, 20, 26], [21, 14, 22, 15], [23, 10, 24, 11], [25, 23, 26, 22], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_96","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_964_1 # m10_964_1 # m10_96None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 19, 12, 18], [13, 28, 14, 9], [15, 21, 16, 20], [17, 13, 18, 12], [19, 26, 20, 27], [21, 15, 22, 14], [23, 11, 24, 10], [25, 22, 26, 23], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_96","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_974_1 # 10_974_1 # 10_97None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 26, 13, 25], [14, 21, 15, 22], [16, 14, 17, 13], [18, 28, 19, 27], [20, 15, 21, 16], [22, 10, 23, 9], [24, 18, 25, 17], [26, 12, 27, 11], [28, 24, 9, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_97","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_974_1 # m10_974_1 # m10_97None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 25, 13, 26], [14, 22, 15, 21], [16, 13, 17, 14], [18, 27, 19, 28], [20, 16, 21, 15], [22, 9, 23, 10], [24, 17, 25, 18], [26, 11, 27, 12], [28, 23, 9, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_97","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_984_1 # 10_984_1 # 10_98None14truecomposite1[[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, 21, 14, 20], [15, 27, 16, 26], [17, 23, 18, 22], [19, 28, 20, 9], [21, 15, 22, 14], [23, 11, 24, 10], [25, 17, 26, 16], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_98","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_984_1 # r10_984_1 # r10_98None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 9, 18], [12, 24, 11, 25], [14, 20, 13, 21], [16, 26, 15, 27], [18, 22, 17, 23], [20, 9, 19, 28], [22, 14, 21, 15], [24, 10, 23, 11], [26, 16, 25, 17], [28, 12, 27, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_98","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_984_1 # m10_984_1 # m10_98None14truecomposite1[[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, 20, 14, 21], [15, 26, 16, 27], [17, 22, 18, 23], [19, 9, 20, 28], [21, 14, 22, 15], [23, 10, 24, 11], [25, 16, 26, 17], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_98","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_984_1 # mr10_984_1 # mr10_98None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 9, 19], [12, 25, 11, 24], [14, 21, 13, 20], [16, 27, 15, 26], [18, 23, 17, 22], [20, 28, 19, 9], [22, 15, 21, 14], [24, 11, 23, 10], [26, 17, 25, 16], [28, 13, 27, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_98","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_994_1 # 10_994_1 # 10_99None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [18, 12, 19, 11], [24, 19, 25, 20], [22, 15, 23, 16], [16, 23, 17, 24], [28, 21, 9, 22], [20, 27, 21, 28], [26, 14, 27, 13], [10, 18, 11, 17], [12, 26, 13, 25]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_99","mirror":false,"reverse":false}]truetruefully amphicheiral[]
4_1 # 10_1004_1 # 10_1004_1 # 10_100None14truecomposite1[[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, 20, 15, 19], [16, 9, 17, 10], [18, 24, 19, 23], [20, 27, 21, 28], [22, 16, 23, 15], [24, 11, 25, 12], [26, 13, 27, 14], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_100","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1004_1 # m10_1004_1 # m10_100None14truecomposite1[[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, 19, 15, 20], [16, 10, 17, 9], [18, 23, 19, 24], [20, 28, 21, 27], [22, 15, 23, 16], [24, 12, 25, 11], [26, 14, 27, 13], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_100","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1014_1 # 10_1014_1 # 10_101None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 26, 13, 25], [14, 22, 15, 21], [16, 28, 17, 27], [18, 14, 19, 13], [20, 10, 21, 9], [22, 18, 23, 17], [24, 12, 25, 11], [26, 24, 27, 23], [28, 16, 9, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_101","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1014_1 # m10_1014_1 # m10_101None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 25, 13, 26], [14, 21, 15, 22], [16, 27, 17, 28], [18, 13, 19, 14], [20, 9, 21, 10], [22, 17, 23, 18], [24, 11, 25, 12], [26, 23, 27, 24], [28, 15, 9, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_101","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1024_1 # 10_1024_1 # 10_102None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 20, 13, 19], [14, 26, 15, 25], [16, 24, 17, 23], [18, 27, 19, 28], [20, 14, 21, 13], [22, 9, 23, 10], [24, 16, 25, 15], [26, 12, 27, 11], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_102","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1024_1 # r10_1024_1 # r10_102None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 17], [13, 19, 12, 20], [15, 25, 14, 26], [17, 23, 16, 24], [19, 28, 18, 27], [21, 13, 20, 14], [23, 10, 22, 9], [25, 15, 24, 16], [27, 11, 26, 12], [9, 22, 28, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_102","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1024_1 # m10_1024_1 # m10_102None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 19, 13, 20], [14, 25, 15, 26], [16, 23, 17, 24], [18, 28, 19, 27], [20, 13, 21, 14], [22, 10, 23, 9], [24, 15, 25, 16], [26, 11, 27, 12], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_102","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1024_1 # mr10_1024_1 # mr10_102None14truecomposite1[[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 18], [13, 20, 12, 19], [15, 26, 14, 25], [17, 24, 16, 23], [19, 27, 18, 28], [21, 14, 20, 13], [23, 9, 22, 10], [25, 16, 24, 15], [27, 12, 26, 11], [9, 21, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_102","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1034_1 # 10_1034_1 # 10_103None14truecomposite1[[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, 20, 15, 19], [16, 9, 17, 10], [18, 24, 19, 23], [20, 27, 21, 28], [22, 16, 23, 15], [24, 13, 25, 14], [26, 11, 27, 12], [28, 21, 9, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_103","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1034_1 # m10_1034_1 # m10_103None14truecomposite1[[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, 19, 15, 20], [16, 10, 17, 9], [18, 23, 19, 24], [20, 28, 21, 27], [22, 15, 23, 16], [24, 14, 25, 13], [26, 12, 27, 11], [28, 22, 9, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_103","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1044_1 # 10_1044_1 # 10_104None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [24, 12, 25, 11], [26, 17, 27, 18], [22, 15, 23, 16], [28, 21, 9, 22], [16, 25, 17, 26], [18, 27, 19, 28], [20, 14, 21, 13], [12, 20, 13, 19], [10, 24, 11, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_104","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1044_1 # m10_1044_1 # m10_104None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 15, 10], [24, 11, 25, 12], [26, 18, 27, 17], [22, 16, 23, 15], [28, 22, 9, 21], [16, 26, 17, 25], [18, 28, 19, 27], [20, 13, 21, 14], [12, 19, 13, 20], [10, 23, 11, 24]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_104","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1054_1 # 10_1054_1 # 10_105None14truecomposite1[[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, 9, 14, 28], [15, 26, 16, 27], [17, 21, 18, 20], [19, 11, 20, 10], [21, 15, 22, 14], [23, 12, 24, 13], [25, 16, 26, 17], [27, 23, 28, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_105","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1054_1 # m10_1054_1 # m10_105None14truecomposite1[[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, 28, 14, 9], [15, 27, 16, 26], [17, 20, 18, 21], [19, 10, 20, 11], [21, 14, 22, 15], [23, 13, 24, 12], [25, 17, 26, 16], [27, 22, 28, 23]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_105","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1064_1 # 10_1064_1 # 10_106None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 18, 12, 19], [13, 25, 14, 24], [15, 21, 16, 20], [17, 10, 18, 11], [19, 26, 20, 27], [21, 9, 22, 28], [23, 13, 24, 12], [25, 15, 26, 14], [27, 16, 28, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_106","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1064_1 # r10_1064_1 # r10_106None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 9, 23], [12, 19, 11, 18], [14, 24, 13, 25], [16, 20, 15, 21], [18, 11, 17, 10], [20, 27, 19, 26], [22, 28, 21, 9], [24, 12, 23, 13], [26, 14, 25, 15], [28, 17, 27, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_106","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1064_1 # m10_1064_1 # m10_106None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 19, 12, 18], [13, 24, 14, 25], [15, 20, 16, 21], [17, 11, 18, 10], [19, 27, 20, 26], [21, 28, 22, 9], [23, 12, 24, 13], [25, 14, 26, 15], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_106","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1064_1 # mr10_1064_1 # mr10_106None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 9, 22], [12, 18, 11, 19], [14, 25, 13, 24], [16, 21, 15, 20], [18, 10, 17, 11], [20, 26, 19, 27], [22, 9, 21, 28], [24, 13, 23, 12], [26, 15, 25, 14], [28, 16, 27, 17]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_106","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1074_1 # 10_1074_1 # 10_107None14truecomposite1[[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, 9, 14, 28], [15, 22, 16, 23], [17, 21, 18, 20], [19, 11, 20, 10], [21, 26, 22, 27], [23, 12, 24, 13], [25, 16, 26, 17], [27, 15, 28, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_107","mirror":false,"reverse":false}]falsefalsechiral[]
4_1 # r10_1074_1 # r10_1074_1 # r10_107None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 9, 19], [12, 25, 11, 24], [14, 28, 13, 9], [16, 23, 15, 22], [18, 20, 17, 21], [20, 10, 19, 11], [22, 27, 21, 26], [24, 13, 23, 12], [26, 17, 25, 16], [28, 14, 27, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_107","mirror":false,"reverse":true}]falsefalsechiral[]
4_1 # m10_1074_1 # m10_1074_1 # m10_107None14truecomposite1[[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, 28, 14, 9], [15, 23, 16, 22], [17, 20, 18, 21], [19, 10, 20, 11], [21, 27, 22, 26], [23, 13, 24, 12], [25, 17, 26, 16], [27, 14, 28, 15]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_107","mirror":true,"reverse":false}]falsefalsechiral[]
4_1 # mr10_1074_1 # mr10_1074_1 # mr10_107None14truecomposite1[[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 9, 18], [12, 24, 11, 25], [14, 9, 13, 28], [16, 22, 15, 23], [18, 21, 17, 20], [20, 11, 19, 10], [22, 26, 21, 27], [24, 12, 23, 13], [26, 16, 25, 17], [28, 15, 27, 14]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_107","mirror":true,"reverse":true}]falsefalsechiral[]
4_1 # 10_1084_1 # 10_1084_1 # 10_108None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 19, 12, 18], [13, 20, 14, 21], [15, 24, 16, 25], [17, 11, 18, 10], [19, 26, 20, 27], [21, 9, 22, 28], [23, 16, 24, 17], [25, 14, 26, 15], [27, 13, 28, 12]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_108","mirror":false,"reverse":false}]falsetruereversible[]
4_1 # m10_1084_1 # m10_1084_1 # m10_108None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 18, 12, 19], [13, 21, 14, 20], [15, 25, 16, 24], [17, 10, 18, 11], [19, 27, 20, 26], [21, 28, 22, 9], [23, 17, 24, 16], [25, 15, 26, 14], [27, 12, 28, 13]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_108","mirror":true,"reverse":false}]falsetruereversible[]
4_1 # 10_1094_1 # 10_1094_1 # 10_109None14truecomposite1[[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [18, 12, 19, 11], [26, 19, 27, 20], [24, 15, 25, 16], [16, 25, 17, 26], [28, 23, 9, 24], [20, 27, 21, 28], [22, 14, 23, 13], [10, 18, 11, 17], [12, 22, 13, 21]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_109","mirror":false,"reverse":false}]truefalsenegative amphicheiral[]
4_1 # r10_1094_1 # r10_1094_1 # r10_109None14truecomposite1[[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [19, 11, 18, 12], [27, 20, 26, 19], [25, 16, 24, 15], [17, 26, 16, 25], [9, 24, 28, 23], [21, 28, 20, 27], [23, 13, 22, 14], [11, 17, 10, 18], [13, 21, 12, 22]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_109","mirror":false,"reverse":true}]truefalsenegative amphicheiral[]
4_1 # 10_1104_1 # 10_1104_1 # 10_110None14truecomposite1[[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 18, 12, 19], [13, 9, 14, 28], [15, 25, 16, 24], [17, 12, 18, 13], [19, 27, 20, 26], [21, 10, 22, 11], [23, 15, 24, 14], [25, 21, 26, 20], [27, 17, 28, 16]]derived_connected_sum[{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_110","mirror":false,"reverse":false}]falsefalsechiral[]