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 # r10_150 | m3_1 # r10_150 | m3_1 # r10_150 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 7, 23], [10, 12, 9, 13], [12, 26, 11, 7], [15, 19, 14, 20], [17, 13, 16, 14], [18, 25, 17, 24], [21, 15, 20, 16], [22, 8, 21, 9], [24, 19, 23, 18], [26, 10, 25, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_150","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m10_150 | m3_1 # m10_150 | m3_1 # m10_150 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 8, 23], [9, 12, 10, 13], [11, 26, 12, 7], [14, 19, 15, 20], [16, 13, 17, 14], [17, 25, 18, 24], [20, 15, 21, 16], [21, 8, 22, 9], [23, 19, 24, 18], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_150","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr10_150 | m3_1 # mr10_150 | m3_1 # mr10_150 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 23, 7, 22], [10, 13, 9, 12], [12, 7, 11, 26], [15, 20, 14, 19], [17, 14, 16, 13], [18, 24, 17, 25], [21, 16, 20, 15], [22, 9, 21, 8], [24, 18, 23, 19], [26, 11, 25, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_150","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 10_151 | m3_1 # 10_151 | m3_1 # 10_151 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 25, 11, 26], [12, 9, 13, 10], [14, 20, 15, 19], [16, 14, 17, 13], [17, 24, 18, 25], [20, 16, 21, 15], [22, 7, 23, 8], [23, 18, 24, 19], [26, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_151","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m3_1 # r10_151 | m3_1 # r10_151 | m3_1 # r10_151 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 8, 21], [11, 26, 10, 25], [13, 10, 12, 9], [15, 19, 14, 20], [17, 13, 16, 14], [18, 25, 17, 24], [21, 15, 20, 16], [23, 8, 22, 7], [24, 19, 23, 18], [7, 12, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_151","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m10_151 | m3_1 # m10_151 | m3_1 # m10_151 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 26, 11, 25], [12, 10, 13, 9], [14, 19, 15, 20], [16, 13, 17, 14], [17, 25, 18, 24], [20, 15, 21, 16], [22, 8, 23, 7], [23, 19, 24, 18], [26, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_151","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr10_151 | m3_1 # mr10_151 | m3_1 # mr10_151 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 22], [11, 25, 10, 26], [13, 9, 12, 10], [15, 20, 14, 19], [17, 14, 16, 13], [18, 24, 17, 25], [21, 16, 20, 15], [23, 7, 22, 8], [24, 18, 23, 19], [7, 11, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_151","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 10_152 | m3_1 # 10_152 | m3_1 # 10_152 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 15, 10, 14], [11, 25, 12, 24], [13, 9, 14, 8], [16, 22, 17, 21], [18, 26, 19, 25], [20, 16, 21, 15], [22, 18, 23, 17], [23, 11, 24, 10], [26, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_152","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_152 | m3_1 # m10_152 | m3_1 # m10_152 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 14, 10, 15], [11, 24, 12, 25], [13, 8, 14, 9], [16, 21, 17, 22], [18, 25, 19, 26], [20, 15, 21, 16], [22, 17, 23, 18], [23, 10, 24, 11], [26, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_152","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_153 | m3_1 # 10_153 | m3_1 # 10_153 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 23, 9, 24], [9, 17, 10, 16], [12, 25, 13, 26], [13, 19, 14, 18], [15, 11, 16, 10], [17, 21, 18, 20], [19, 15, 20, 14], [22, 7, 23, 8], [24, 11, 25, 12], [26, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_153","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m3_1 # r10_153 | m3_1 # r10_153 | m3_1 # r10_153 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 24, 8, 23], [10, 16, 9, 17], [13, 26, 12, 25], [14, 18, 13, 19], [16, 10, 15, 11], [18, 20, 17, 21], [20, 14, 19, 15], [23, 8, 22, 7], [25, 12, 24, 11], [7, 22, 26, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_153","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m10_153 | m3_1 # m10_153 | m3_1 # m10_153 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 24, 9, 23], [9, 16, 10, 17], [12, 26, 13, 25], [13, 18, 14, 19], [15, 10, 16, 11], [17, 20, 18, 21], [19, 14, 20, 15], [22, 8, 23, 7], [24, 12, 25, 11], [26, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_153","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr10_153 | m3_1 # mr10_153 | m3_1 # mr10_153 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 23, 8, 24], [10, 17, 9, 16], [13, 25, 12, 26], [14, 19, 13, 18], [16, 11, 15, 10], [18, 21, 17, 20], [20, 15, 19, 14], [23, 7, 22, 8], [25, 11, 24, 12], [7, 21, 26, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_153","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 10_154 | m3_1 # 10_154 | m3_1 # 10_154 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 23, 8, 22], [9, 13, 10, 12], [11, 7, 12, 26], [14, 20, 15, 19], [16, 14, 17, 13], [18, 24, 19, 23], [20, 16, 21, 15], [21, 9, 22, 8], [24, 18, 25, 17], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_154","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_154 | m3_1 # m10_154 | m3_1 # m10_154 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 8, 23], [9, 12, 10, 13], [11, 26, 12, 7], [14, 19, 15, 20], [16, 13, 17, 14], [18, 23, 19, 24], [20, 15, 21, 16], [21, 8, 22, 9], [24, 17, 25, 18], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_154","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_155 | m3_1 # 10_155 | m3_1 # 10_155 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 19, 10, 18], [11, 20, 12, 21], [12, 25, 13, 26], [15, 22, 16, 23], [17, 9, 18, 8], [19, 25, 20, 24], [21, 14, 22, 15], [23, 10, 24, 11], [26, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_155","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_155 | m3_1 # m10_155 | m3_1 # m10_155 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 18, 10, 19], [11, 21, 12, 20], [12, 26, 13, 25], [15, 23, 16, 22], [17, 8, 18, 9], [19, 24, 20, 25], [21, 15, 22, 14], [23, 11, 24, 10], [26, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_155","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_156 | m3_1 # 10_156 | m3_1 # 10_156 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [9, 14, 10, 15], [11, 20, 12, 21], [13, 24, 14, 25], [16, 21, 17, 22], [17, 7, 18, 26], [19, 12, 20, 13], [22, 15, 23, 16], [23, 10, 24, 11], [25, 9, 26, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_156","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_156 | m3_1 # m10_156 | m3_1 # m10_156 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [9, 15, 10, 14], [11, 21, 12, 20], [13, 25, 14, 24], [16, 22, 17, 21], [17, 26, 18, 7], [19, 13, 20, 12], [22, 16, 23, 15], [23, 11, 24, 10], [25, 8, 26, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_156","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_157 | m3_1 # 10_157 | m3_1 # 10_157 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [9, 16, 10, 17], [11, 24, 12, 25], [14, 21, 15, 22], [17, 10, 18, 11], [20, 7, 21, 8], [22, 15, 23, 16], [23, 19, 24, 18], [25, 12, 26, 13], [26, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_157","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_157 | m3_1 # m10_157 | m3_1 # m10_157 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [9, 17, 10, 16], [11, 25, 12, 24], [14, 22, 15, 21], [17, 11, 18, 10], [20, 8, 21, 7], [22, 16, 23, 15], [23, 18, 24, 19], [25, 13, 26, 12], [26, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_157","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_158 | m3_1 # 10_158 | m3_1 # 10_158 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 10, 14], [10, 17, 11, 18], [12, 26, 13, 25], [15, 23, 16, 22], [18, 11, 19, 12], [20, 7, 21, 8], [21, 17, 22, 16], [23, 9, 24, 8], [24, 14, 25, 13], [26, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_158","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_158 | m3_1 # m10_158 | m3_1 # m10_158 | None | None | false | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 10, 15], [10, 18, 11, 17], [12, 25, 13, 26], [15, 22, 16, 23], [18, 12, 19, 11], [20, 8, 21, 7], [21, 16, 22, 17], [23, 8, 24, 9], [24, 13, 25, 14], [26, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_158","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_159 | m3_1 # 10_159 | m3_1 # 10_159 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [10, 17, 11, 18], [11, 25, 12, 24], [13, 7, 14, 26], [14, 20, 15, 19], [16, 21, 17, 22], [18, 24, 19, 23], [20, 7, 21, 8], [22, 10, 23, 9], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_159","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_159 | m3_1 # m10_159 | m3_1 # m10_159 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [10, 18, 11, 17], [11, 24, 12, 25], [13, 26, 14, 7], [14, 19, 15, 20], [16, 22, 17, 21], [18, 23, 19, 24], [20, 8, 21, 7], [22, 9, 23, 10], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_159","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_160 | m3_1 # 10_160 | m3_1 # 10_160 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [10, 24, 11, 23], [12, 20, 13, 19], [14, 10, 15, 9], [16, 21, 17, 22], [17, 7, 18, 26], [20, 12, 21, 11], [22, 15, 23, 16], [24, 14, 25, 13], [25, 9, 26, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_160","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_160 | m3_1 # m10_160 | m3_1 # m10_160 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [10, 23, 11, 24], [12, 19, 13, 20], [14, 9, 15, 10], [16, 22, 17, 21], [17, 26, 18, 7], [20, 11, 21, 12], [22, 16, 23, 15], [24, 13, 25, 14], [25, 8, 26, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_160","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_161 | m3_1 # 10_161 | m3_1 # 10_161 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [10, 24, 11, 23], [12, 20, 13, 19], [14, 10, 15, 9], [15, 23, 16, 22], [17, 7, 18, 26], [20, 12, 21, 11], [21, 17, 22, 16], [24, 14, 25, 13], [25, 9, 26, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_161","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_161 | m3_1 # m10_161 | m3_1 # m10_161 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [10, 23, 11, 24], [12, 19, 13, 20], [14, 9, 15, 10], [15, 22, 16, 23], [17, 26, 18, 7], [20, 11, 21, 12], [21, 16, 22, 17], [24, 13, 25, 14], [25, 8, 26, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_161","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_162 | m3_1 # 10_162 | m3_1 # 10_162 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [11, 18, 12, 19], [12, 24, 13, 23], [14, 22, 15, 21], [16, 25, 17, 26], [17, 10, 18, 11], [20, 7, 21, 8], [22, 14, 23, 13], [24, 10, 25, 9], [26, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_162","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_162 | m3_1 # m10_162 | m3_1 # m10_162 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [11, 19, 12, 18], [12, 23, 13, 24], [14, 21, 15, 22], [16, 26, 17, 25], [17, 11, 18, 10], [20, 8, 21, 7], [22, 13, 23, 14], [24, 9, 25, 10], [26, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_162","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_163 | m3_1 # 10_163 | m3_1 # 10_163 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 17, 10, 16], [12, 20, 13, 19], [15, 23, 16, 22], [17, 24, 18, 25], [18, 14, 19, 13], [20, 12, 21, 11], [21, 7, 22, 26], [23, 8, 24, 9], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_163","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_163 | m3_1 # m10_163 | m3_1 # m10_163 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 16, 10, 17], [12, 19, 13, 20], [15, 22, 16, 23], [17, 25, 18, 24], [18, 13, 19, 14], [20, 11, 21, 12], [21, 26, 22, 7], [23, 9, 24, 8], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_163","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_164 | m3_1 # 10_164 | m3_1 # 10_164 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [9, 22, 10, 23], [12, 20, 13, 19], [14, 21, 15, 22], [15, 11, 16, 10], [18, 8, 19, 7], [20, 25, 21, 26], [23, 16, 24, 17], [24, 11, 25, 12], [26, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_164","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_164 | m3_1 # m10_164 | m3_1 # m10_164 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [9, 23, 10, 22], [12, 19, 13, 20], [14, 22, 15, 21], [15, 10, 16, 11], [18, 7, 19, 8], [20, 26, 21, 25], [23, 17, 24, 16], [24, 12, 25, 11], [26, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_164","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_165 | m3_1 # 10_165 | m3_1 # 10_165 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 18, 10, 19], [10, 23, 11, 24], [13, 8, 14, 9], [15, 20, 16, 21], [17, 23, 18, 22], [19, 12, 20, 13], [21, 26, 22, 7], [24, 11, 25, 12], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_165","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_165 | m3_1 # m10_165 | m3_1 # m10_165 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 19, 10, 18], [10, 24, 11, 23], [13, 9, 14, 8], [15, 21, 16, 20], [17, 22, 18, 23], [19, 13, 20, 12], [21, 7, 22, 26], [24, 12, 25, 11], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_165","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 # 5_1 | 4_1 # 4_1 # 5_1 | 4_1 # 4_1 # 5_1 | None | 13 | true | composite | 1 | [[18, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 24, 19, 23], [20, 26, 21, 25], [22, 18, 23, 17], [24, 20, 25, 19], [26, 22, 17, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 # m5_1 | 4_1 # 4_1 # m5_1 | 4_1 # 4_1 # m5_1 | None | 13 | true | composite | 1 | [[18, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 23, 19, 24], [20, 25, 21, 26], [22, 17, 23, 18], [24, 19, 25, 20], [26, 21, 17, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 # 5_2 | 4_1 # 4_1 # 5_2 | 4_1 # 4_1 # 5_2 | None | 13 | true | composite | 1 | [[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 21, 18, 20], [19, 25, 20, 24], [21, 17, 22, 26], [23, 19, 24, 18], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 # m5_2 | 4_1 # 4_1 # m5_2 | 4_1 # 4_1 # m5_2 | None | 13 | true | composite | 1 | [[17, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 20, 18, 21], [19, 24, 20, 25], [21, 26, 22, 17], [23, 18, 24, 19], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_1 | 4_1 # 9_1 | 4_1 # 9_1 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 21, 12, 20], [13, 23, 14, 22], [15, 25, 16, 24], [17, 9, 18, 26], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_1 | 4_1 # m9_1 | 4_1 # m9_1 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_2 | 4_1 # 9_2 | 4_1 # 9_2 | None | 13 | true | composite | 1 | [[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, 12, 15, 11], [16, 10, 17, 9], [18, 26, 19, 25], [20, 24, 21, 23], [22, 14, 23, 13], [24, 20, 25, 19], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_2 | 4_1 # m9_2 | 4_1 # m9_2 | None | 13 | true | composite | 1 | [[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, 11, 15, 12], [16, 9, 17, 10], [18, 25, 19, 26], [20, 23, 21, 24], [22, 13, 23, 14], [24, 19, 25, 20], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_3 | 4_1 # 9_3 | 4_1 # 9_3 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 23, 12, 22], [13, 21, 14, 20], [15, 25, 16, 24], [17, 9, 18, 26], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_3 | 4_1 # m9_3 | 4_1 # m9_3 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 22, 12, 23], [13, 20, 14, 21], [15, 24, 16, 25], [17, 26, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_4 | 4_1 # 9_4 | 4_1 # 9_4 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 20, 13, 19], [14, 24, 15, 23], [16, 26, 17, 25], [18, 14, 19, 13], [20, 12, 21, 11], [22, 10, 23, 9], [24, 16, 25, 15], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_4 | 4_1 # m9_4 | 4_1 # m9_4 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 19, 13, 20], [14, 23, 15, 24], [16, 25, 17, 26], [18, 13, 19, 14], [20, 11, 21, 12], [22, 9, 23, 10], [24, 15, 25, 16], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_5 | 4_1 # 9_5 | 4_1 # 9_5 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 20, 13, 19], [14, 24, 15, 23], [16, 26, 17, 25], [18, 14, 19, 13], [20, 12, 21, 11], [22, 10, 23, 9], [24, 18, 25, 17], [26, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_5 | 4_1 # m9_5 | 4_1 # m9_5 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 19, 13, 20], [14, 23, 15, 24], [16, 25, 17, 26], [18, 13, 19, 14], [20, 11, 21, 12], [22, 9, 23, 10], [24, 17, 25, 18], [26, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_6 | 4_1 # 9_6 | 4_1 # 9_6 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 15, 12, 14], [13, 23, 14, 22], [15, 11, 16, 10], [17, 25, 18, 24], [19, 9, 20, 26], [21, 13, 22, 12], [23, 17, 24, 16], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_6 | 4_1 # m9_6 | 4_1 # m9_6 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 14, 12, 15], [13, 22, 14, 23], [15, 10, 16, 11], [17, 24, 18, 25], [19, 26, 20, 9], [21, 12, 22, 13], [23, 16, 24, 17], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_7 | 4_1 # 9_7 | 4_1 # 9_7 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 20, 13, 19], [14, 24, 15, 23], [16, 14, 17, 13], [18, 12, 19, 11], [20, 10, 21, 9], [22, 26, 23, 25], [24, 16, 25, 15], [26, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_7 | 4_1 # m9_7 | 4_1 # m9_7 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 19, 13, 20], [14, 23, 15, 24], [16, 13, 17, 14], [18, 11, 19, 12], [20, 9, 21, 10], [22, 25, 23, 26], [24, 15, 25, 16], [26, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_8 | 4_1 # 9_8 | 4_1 # 9_8 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 22, 12, 23], [13, 19, 14, 18], [15, 9, 16, 26], [17, 21, 18, 20], [19, 15, 20, 14], [21, 12, 22, 13], [23, 10, 24, 11], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_8 | 4_1 # m9_8 | 4_1 # m9_8 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 23, 12, 22], [13, 18, 14, 19], [15, 26, 16, 9], [17, 20, 18, 21], [19, 14, 20, 15], [21, 13, 22, 12], [23, 11, 24, 10], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_9 | 4_1 # 9_9 | 4_1 # 9_9 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 17, 12, 16], [13, 23, 14, 22], [15, 25, 16, 24], [17, 11, 18, 10], [19, 9, 20, 26], [21, 13, 22, 12], [23, 15, 24, 14], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_9 | 4_1 # m9_9 | 4_1 # m9_9 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 16, 12, 17], [13, 22, 14, 23], [15, 24, 16, 25], [17, 10, 18, 11], [19, 26, 20, 9], [21, 12, 22, 13], [23, 14, 24, 15], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_10 | 4_1 # 9_10 | 4_1 # 9_10 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 19, 12, 18], [13, 25, 14, 24], [15, 23, 16, 22], [17, 9, 18, 26], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_10 | 4_1 # m9_10 | 4_1 # m9_10 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 18, 12, 19], [13, 24, 14, 25], [15, 22, 16, 23], [17, 26, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_11 | 4_1 # 9_11 | 4_1 # 9_11 | None | 13 | true | composite | 1 | [[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, 23, 15, 24], [16, 20, 17, 19], [18, 25, 19, 26], [20, 11, 21, 12], [22, 13, 23, 14], [24, 10, 25, 9], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_11 | 4_1 # m9_11 | 4_1 # m9_11 | None | 13 | true | composite | 1 | [[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, 24, 15, 23], [16, 19, 17, 20], [18, 26, 19, 25], [20, 12, 21, 11], [22, 14, 23, 13], [24, 9, 25, 10], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_12 | 4_1 # 9_12 | 4_1 # 9_12 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 24, 13, 23], [14, 22, 15, 21], [16, 11, 17, 12], [18, 26, 19, 25], [20, 16, 21, 15], [22, 14, 23, 13], [24, 10, 25, 9], [26, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_12 | 4_1 # m9_12 | 4_1 # m9_12 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 23, 13, 24], [14, 21, 15, 22], [16, 12, 17, 11], [18, 25, 19, 26], [20, 15, 21, 16], [22, 13, 23, 14], [24, 9, 25, 10], [26, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_13 | 4_1 # 9_13 | 4_1 # 9_13 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 22, 13, 21], [14, 24, 15, 23], [16, 26, 17, 25], [18, 14, 19, 13], [20, 12, 21, 11], [22, 10, 23, 9], [24, 18, 25, 17], [26, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_13 | 4_1 # m9_13 | 4_1 # m9_13 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 21, 13, 22], [14, 23, 15, 24], [16, 25, 17, 26], [18, 13, 19, 14], [20, 11, 21, 12], [22, 9, 23, 10], [24, 17, 25, 18], [26, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_14 | 4_1 # 9_14 | 4_1 # 9_14 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 18, 12, 19], [13, 24, 14, 25], [15, 9, 16, 26], [17, 12, 18, 13], [19, 10, 20, 11], [21, 17, 22, 16], [23, 14, 24, 15], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_14 | 4_1 # m9_14 | 4_1 # m9_14 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 19, 12, 18], [13, 25, 14, 24], [15, 26, 16, 9], [17, 13, 18, 12], [19, 11, 20, 10], [21, 16, 22, 17], [23, 15, 24, 14], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_15 | 4_1 # 9_15 | 4_1 # 9_15 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 15, 13, 16], [14, 23, 15, 24], [16, 11, 17, 12], [18, 22, 19, 21], [20, 25, 21, 26], [22, 13, 23, 14], [24, 10, 25, 9], [26, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_15 | 4_1 # m9_15 | 4_1 # m9_15 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 16, 13, 15], [14, 24, 15, 23], [16, 12, 17, 11], [18, 21, 19, 22], [20, 26, 21, 25], [22, 14, 23, 13], [24, 9, 25, 10], [26, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_16 | 4_1 # 9_16 | 4_1 # 9_16 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 19, 12, 18], [13, 23, 14, 22], [15, 13, 16, 12], [17, 11, 18, 10], [19, 25, 20, 24], [21, 9, 22, 26], [23, 15, 24, 14], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_16 | 4_1 # m9_16 | 4_1 # m9_16 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 18, 12, 19], [13, 22, 14, 23], [15, 12, 16, 13], [17, 10, 18, 11], [19, 24, 20, 25], [21, 26, 22, 9], [23, 14, 24, 15], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_17 | 4_1 # 9_17 | 4_1 # 9_17 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 20, 12, 21], [13, 24, 14, 25], [15, 9, 16, 26], [17, 11, 18, 10], [19, 12, 20, 13], [21, 19, 22, 18], [23, 14, 24, 15], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_17 | 4_1 # m9_17 | 4_1 # m9_17 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 21, 12, 20], [13, 25, 14, 24], [15, 26, 16, 9], [17, 10, 18, 11], [19, 13, 20, 12], [21, 18, 22, 19], [23, 15, 24, 14], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_18 | 4_1 # 9_18 | 4_1 # 9_18 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 10, 13, 9], [14, 24, 15, 23], [16, 22, 17, 21], [18, 26, 19, 25], [20, 12, 21, 11], [22, 16, 23, 15], [24, 18, 25, 17], [26, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_18 | 4_1 # m9_18 | 4_1 # m9_18 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 9, 13, 10], [14, 23, 15, 24], [16, 21, 17, 22], [18, 25, 19, 26], [20, 11, 21, 12], [22, 15, 23, 16], [24, 17, 25, 18], [26, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_19 | 4_1 # 9_19 | 4_1 # 9_19 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 19, 13, 20], [14, 12, 15, 11], [16, 25, 17, 26], [18, 13, 19, 14], [20, 16, 21, 15], [22, 10, 23, 9], [24, 17, 25, 18], [26, 24, 9, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_19 | 4_1 # m9_19 | 4_1 # m9_19 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 20, 13, 19], [14, 11, 15, 12], [16, 26, 17, 25], [18, 14, 19, 13], [20, 15, 21, 16], [22, 9, 23, 10], [24, 18, 25, 17], [26, 23, 9, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_20 | 4_1 # 9_20 | 4_1 # 9_20 | None | 13 | true | composite | 1 | [[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, 21, 14, 20], [15, 11, 16, 10], [17, 9, 18, 26], [19, 23, 20, 22], [21, 15, 22, 14], [23, 12, 24, 13], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_20 | 4_1 # m9_20 | 4_1 # m9_20 | None | 13 | true | composite | 1 | [[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, 20, 14, 21], [15, 10, 16, 11], [17, 26, 18, 9], [19, 22, 20, 23], [21, 14, 22, 15], [23, 13, 24, 12], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_21 | 4_1 # 9_21 | 4_1 # 9_21 | None | 13 | true | composite | 1 | [[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, 23, 15, 24], [16, 20, 17, 19], [18, 25, 19, 26], [20, 13, 21, 14], [22, 11, 23, 12], [24, 10, 25, 9], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_21 | 4_1 # m9_21 | 4_1 # m9_21 | None | 13 | true | composite | 1 | [[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, 24, 15, 23], [16, 19, 17, 20], [18, 26, 19, 25], [20, 14, 21, 13], [22, 12, 23, 11], [24, 9, 25, 10], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_22 | 4_1 # 9_22 | 4_1 # 9_22 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 16, 12, 17], [13, 22, 14, 23], [15, 19, 16, 18], [17, 10, 18, 11], [19, 25, 20, 24], [21, 9, 22, 26], [23, 12, 24, 13], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_22 | 4_1 # m9_22 | 4_1 # m9_22 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 17, 12, 16], [13, 23, 14, 22], [15, 18, 16, 19], [17, 11, 18, 10], [19, 24, 20, 25], [21, 26, 22, 9], [23, 13, 24, 12], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_23 | 4_1 # 9_23 | 4_1 # 9_23 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 20, 13, 19], [14, 12, 15, 11], [16, 26, 17, 25], [18, 22, 19, 21], [20, 14, 21, 13], [22, 16, 23, 15], [24, 10, 25, 9], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_23 | 4_1 # m9_23 | 4_1 # m9_23 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 19, 13, 20], [14, 11, 15, 12], [16, 25, 17, 26], [18, 21, 19, 22], [20, 13, 21, 14], [22, 15, 23, 16], [24, 9, 25, 10], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_24 | 4_1 # 9_24 | 4_1 # 9_24 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 15, 12, 14], [13, 9, 14, 26], [15, 22, 16, 23], [17, 24, 18, 25], [19, 11, 20, 10], [21, 18, 22, 19], [23, 16, 24, 17], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_24 | 4_1 # m9_24 | 4_1 # m9_24 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 14, 12, 15], [13, 26, 14, 9], [15, 23, 16, 22], [17, 25, 18, 24], [19, 10, 20, 11], [21, 19, 22, 18], [23, 17, 24, 16], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_25 | 4_1 # 9_25 | 4_1 # 9_25 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 25, 13, 26], [14, 20, 15, 19], [16, 12, 17, 11], [18, 22, 19, 21], [20, 16, 21, 15], [22, 10, 23, 9], [24, 13, 25, 14], [26, 24, 9, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_25 | 4_1 # m9_25 | 4_1 # m9_25 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 26, 13, 25], [14, 19, 15, 20], [16, 11, 17, 12], [18, 21, 19, 22], [20, 15, 21, 16], [22, 9, 23, 10], [24, 14, 25, 13], [26, 23, 9, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_26 | 4_1 # 9_26 | 4_1 # 9_26 | None | 13 | true | composite | 1 | [[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, 22, 19, 21], [20, 11, 21, 12], [22, 10, 23, 9], [24, 13, 25, 14], [26, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_26 | 4_1 # m9_26 | 4_1 # m9_26 | None | 13 | true | composite | 1 | [[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, 21, 19, 22], [20, 12, 21, 11], [22, 9, 23, 10], [24, 14, 25, 13], [26, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_27 | 4_1 # 9_27 | 4_1 # 9_27 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 15, 13, 16], [14, 22, 15, 21], [16, 23, 17, 24], [18, 26, 19, 25], [20, 11, 21, 12], [22, 14, 23, 13], [24, 10, 25, 9], [26, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_27 | 4_1 # m9_27 | 4_1 # m9_27 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 16, 13, 15], [14, 21, 15, 22], [16, 24, 17, 23], [18, 25, 19, 26], [20, 12, 21, 11], [22, 13, 23, 14], [24, 9, 25, 10], [26, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_28 | 4_1 # 9_28 | 4_1 # 9_28 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 23, 12, 22], [13, 11, 14, 10], [15, 21, 16, 20], [17, 15, 18, 14], [19, 26, 20, 9], [21, 17, 22, 16], [23, 13, 24, 12], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_28 | 4_1 # m9_28 | 4_1 # m9_28 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 22, 12, 23], [13, 10, 14, 11], [15, 20, 16, 21], [17, 14, 18, 15], [19, 9, 20, 26], [21, 16, 22, 17], [23, 12, 24, 13], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_29 | 4_1 # 9_29 | 4_1 # 9_29 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 25, 13, 26], [14, 20, 15, 19], [16, 12, 17, 11], [18, 23, 19, 24], [20, 14, 21, 13], [22, 9, 23, 10], [24, 15, 25, 16], [26, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_29 | 4_1 # m9_29 | 4_1 # m9_29 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 26, 13, 25], [14, 19, 15, 20], [16, 11, 17, 12], [18, 24, 19, 23], [20, 13, 21, 14], [22, 10, 23, 9], [24, 16, 25, 15], [26, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_30 | 4_1 # 9_30 | 4_1 # 9_30 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 9, 14, 26], [15, 20, 16, 21], [17, 11, 18, 10], [19, 14, 20, 15], [21, 18, 22, 19], [23, 12, 24, 13], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_30","mirror":false,"reverse":false}] | false | true | reversible | [] |