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_153 | 4_1 # 10_153 | 4_1 # 10_153 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 11, 26], [11, 19, 12, 18], [14, 27, 15, 28], [15, 21, 16, 20], [17, 13, 18, 12], [19, 23, 20, 22], [21, 17, 22, 16], [24, 9, 25, 10], [26, 13, 27, 14], [28, 23, 9, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_153","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 4_1 # r10_153 | 4_1 # r10_153 | 4_1 # r10_153 | None | None | false | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 10, 25], [12, 18, 11, 19], [15, 28, 14, 27], [16, 20, 15, 21], [18, 12, 17, 13], [20, 22, 19, 23], [22, 16, 21, 17], [25, 10, 24, 9], [27, 14, 26, 13], [9, 24, 28, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_153","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 4_1 # m10_153 | 4_1 # m10_153 | 4_1 # m10_153 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 26, 11, 25], [11, 18, 12, 19], [14, 28, 15, 27], [15, 20, 16, 21], [17, 12, 18, 13], [19, 22, 20, 23], [21, 16, 22, 17], [24, 10, 25, 9], [26, 14, 27, 13], [28, 24, 9, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_153","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 4_1 # mr10_153 | 4_1 # mr10_153 | 4_1 # mr10_153 | None | None | false | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 26], [12, 19, 11, 18], [15, 27, 14, 28], [16, 21, 15, 20], [18, 13, 17, 12], [20, 23, 19, 22], [22, 17, 21, 16], [25, 9, 24, 10], [27, 13, 26, 14], [9, 23, 28, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_153","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 4_1 # 10_154 | 4_1 # 10_154 | 4_1 # 10_154 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 25, 10, 24], [11, 15, 12, 14], [13, 9, 14, 28], [16, 22, 17, 21], [18, 16, 19, 15], [20, 26, 21, 25], [22, 18, 23, 17], [23, 11, 24, 10], [26, 20, 27, 19], [27, 13, 28, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_154","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_154 | 4_1 # m10_154 | 4_1 # m10_154 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 10, 25], [11, 14, 12, 15], [13, 28, 14, 9], [16, 21, 17, 22], [18, 15, 19, 16], [20, 25, 21, 26], [22, 17, 23, 18], [23, 10, 24, 11], [26, 19, 27, 20], [27, 12, 28, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_154","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_155 | 4_1 # 10_155 | 4_1 # 10_155 | None | None | false | 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, 22, 14, 23], [14, 27, 15, 28], [17, 24, 18, 25], [19, 11, 20, 10], [21, 27, 22, 26], [23, 16, 24, 17], [25, 12, 26, 13], [28, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_155","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_155 | 4_1 # m10_155 | 4_1 # m10_155 | None | None | false | 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, 23, 14, 22], [14, 28, 15, 27], [17, 25, 18, 24], [19, 10, 20, 11], [21, 26, 22, 27], [23, 17, 24, 16], [25, 13, 26, 12], [28, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_155","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_156 | 4_1 # 10_156 | 4_1 # 10_156 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 16, 12, 17], [13, 22, 14, 23], [15, 26, 16, 27], [18, 23, 19, 24], [19, 9, 20, 28], [21, 14, 22, 15], [24, 17, 25, 18], [25, 12, 26, 13], [27, 11, 28, 10]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_156","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_156 | 4_1 # m10_156 | 4_1 # m10_156 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 17, 12, 16], [13, 23, 14, 22], [15, 27, 16, 26], [18, 24, 19, 23], [19, 28, 20, 9], [21, 15, 22, 14], [24, 18, 25, 17], [25, 13, 26, 12], [27, 10, 28, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_156","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_157 | 4_1 # 10_157 | 4_1 # 10_157 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [11, 18, 12, 19], [13, 26, 14, 27], [16, 23, 17, 24], [19, 12, 20, 13], [22, 9, 23, 10], [24, 17, 25, 18], [25, 21, 26, 20], [27, 14, 28, 15], [28, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_157","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_157 | 4_1 # m10_157 | 4_1 # m10_157 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [11, 19, 12, 18], [13, 27, 14, 26], [16, 24, 17, 23], [19, 13, 20, 12], [22, 10, 23, 9], [24, 18, 25, 17], [25, 20, 26, 21], [27, 15, 28, 14], [28, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_157","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_158 | 4_1 # 10_158 | 4_1 # 10_158 | None | None | false | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 12, 16], [12, 19, 13, 20], [14, 28, 15, 27], [17, 25, 18, 24], [20, 13, 21, 14], [22, 9, 23, 10], [23, 19, 24, 18], [25, 11, 26, 10], [26, 16, 27, 15], [28, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_158","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_158 | 4_1 # m10_158 | 4_1 # m10_158 | None | None | false | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 12, 17], [12, 20, 13, 19], [14, 27, 15, 28], [17, 24, 18, 25], [20, 14, 21, 13], [22, 10, 23, 9], [23, 18, 24, 19], [25, 10, 26, 11], [26, 15, 27, 16], [28, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_158","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_159 | 4_1 # 10_159 | 4_1 # 10_159 | None | None | false | 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], [13, 27, 14, 26], [15, 9, 16, 28], [16, 22, 17, 21], [18, 23, 19, 24], [20, 26, 21, 25], [22, 9, 23, 10], [24, 12, 25, 11], [27, 15, 28, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_159","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_159 | 4_1 # m10_159 | 4_1 # m10_159 | None | None | false | 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], [13, 26, 14, 27], [15, 28, 16, 9], [16, 21, 17, 22], [18, 24, 19, 23], [20, 25, 21, 26], [22, 10, 23, 9], [24, 11, 25, 12], [27, 14, 28, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_159","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_160 | 4_1 # 10_160 | 4_1 # 10_160 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [12, 26, 13, 25], [14, 22, 15, 21], [16, 12, 17, 11], [18, 23, 19, 24], [19, 9, 20, 28], [22, 14, 23, 13], [24, 17, 25, 18], [26, 16, 27, 15], [27, 11, 28, 10]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_160","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_160 | 4_1 # m10_160 | 4_1 # m10_160 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [12, 25, 13, 26], [14, 21, 15, 22], [16, 11, 17, 12], [18, 24, 19, 23], [19, 28, 20, 9], [22, 13, 23, 14], [24, 18, 25, 17], [26, 15, 27, 16], [27, 10, 28, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_160","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_161 | 4_1 # 10_161 | 4_1 # 10_161 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [12, 26, 13, 25], [14, 22, 15, 21], [16, 12, 17, 11], [17, 25, 18, 24], [19, 9, 20, 28], [22, 14, 23, 13], [23, 19, 24, 18], [26, 16, 27, 15], [27, 11, 28, 10]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_161","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_161 | 4_1 # m10_161 | 4_1 # m10_161 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [12, 25, 13, 26], [14, 21, 15, 22], [16, 11, 17, 12], [17, 24, 18, 25], [19, 28, 20, 9], [22, 13, 23, 14], [23, 18, 24, 19], [26, 15, 27, 16], [27, 10, 28, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_161","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_162 | 4_1 # 10_162 | 4_1 # 10_162 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [13, 20, 14, 21], [14, 26, 15, 25], [16, 24, 17, 23], [18, 27, 19, 28], [19, 12, 20, 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_162","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_162 | 4_1 # m10_162 | 4_1 # m10_162 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [13, 21, 14, 20], [14, 25, 15, 26], [16, 23, 17, 24], [18, 28, 19, 27], [19, 13, 20, 12], [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_162","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_163 | 4_1 # 10_163 | 4_1 # 10_163 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 19, 12, 18], [14, 22, 15, 21], [17, 25, 18, 24], [19, 26, 20, 27], [20, 16, 21, 15], [22, 14, 23, 13], [23, 9, 24, 28], [25, 10, 26, 11], [27, 13, 28, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_163","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_163 | 4_1 # m10_163 | 4_1 # m10_163 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 18, 12, 19], [14, 21, 15, 22], [17, 24, 18, 25], [19, 27, 20, 26], [20, 15, 21, 16], [22, 13, 23, 14], [23, 28, 24, 9], [25, 11, 26, 10], [27, 12, 28, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_163","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_164 | 4_1 # 10_164 | 4_1 # 10_164 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [11, 24, 12, 25], [14, 22, 15, 21], [16, 23, 17, 24], [17, 13, 18, 12], [20, 10, 21, 9], [22, 27, 23, 28], [25, 18, 26, 19], [26, 13, 27, 14], [28, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_164","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_164 | 4_1 # m10_164 | 4_1 # m10_164 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [11, 25, 12, 24], [14, 21, 15, 22], [16, 24, 17, 23], [17, 12, 18, 13], [20, 9, 21, 10], [22, 28, 23, 27], [25, 19, 26, 18], [26, 14, 27, 13], [28, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_164","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 10_165 | 4_1 # 10_165 | 4_1 # 10_165 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 20, 12, 21], [12, 25, 13, 26], [15, 10, 16, 11], [17, 22, 18, 23], [19, 25, 20, 24], [21, 14, 22, 15], [23, 28, 24, 9], [26, 13, 27, 14], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_165","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m10_165 | 4_1 # m10_165 | 4_1 # m10_165 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 21, 12, 20], [12, 26, 13, 25], [15, 11, 16, 10], [17, 23, 18, 22], [19, 24, 20, 25], [21, 15, 22, 14], [23, 9, 24, 28], [26, 14, 27, 13], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"10_165","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_1 | 5_1 # 9_1 | 5_1 # 9_1 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 12, 20], [13, 23, 14, 22], [15, 25, 16, 24], [17, 27, 18, 26], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_1 | 5_1 # m9_1 | 5_1 # m9_1 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 12, 21], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_2 | 5_1 # 9_2 | 5_1 # 9_2 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 13, 17], [14, 24, 15, 23], [16, 14, 17, 13], [18, 12, 19, 11], [20, 28, 21, 27], [22, 26, 23, 25], [24, 16, 25, 15], [26, 22, 27, 21], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_2 | 5_1 # m9_2 | 5_1 # m9_2 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 13, 18], [14, 23, 15, 24], [16, 13, 17, 14], [18, 11, 19, 12], [20, 27, 21, 28], [22, 25, 23, 26], [24, 15, 25, 16], [26, 21, 27, 22], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_3 | 5_1 # 9_3 | 5_1 # 9_3 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 12, 20], [13, 25, 14, 24], [15, 23, 16, 22], [17, 27, 18, 26], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_3 | 5_1 # m9_3 | 5_1 # m9_3 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 12, 21], [13, 24, 14, 25], [15, 22, 16, 23], [17, 26, 18, 27], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_4 | 5_1 # 9_4 | 5_1 # 9_4 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [14, 22, 15, 21], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 18, 27, 17], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_4 | 5_1 # m9_4 | 5_1 # m9_4 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [14, 21, 15, 22], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 17, 27, 18], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_5 | 5_1 # 9_5 | 5_1 # 9_5 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [14, 22, 15, 21], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 20, 27, 19], [28, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_5 | 5_1 # m9_5 | 5_1 # m9_5 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [14, 21, 15, 22], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 19, 27, 20], [28, 17, 11, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_6 | 5_1 # 9_6 | 5_1 # 9_6 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 12, 22], [13, 17, 14, 16], [15, 25, 16, 24], [17, 13, 18, 12], [19, 27, 20, 26], [21, 11, 22, 28], [23, 15, 24, 14], [25, 19, 26, 18], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_6 | 5_1 # m9_6 | 5_1 # m9_6 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 12, 23], [13, 16, 14, 17], [15, 24, 16, 25], [17, 12, 18, 13], [19, 26, 20, 27], [21, 28, 22, 11], [23, 14, 24, 15], [25, 18, 26, 19], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_7 | 5_1 # 9_7 | 5_1 # 9_7 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 22, 15, 21], [16, 26, 17, 25], [18, 16, 19, 15], [20, 14, 21, 13], [22, 12, 23, 11], [24, 28, 25, 27], [26, 18, 27, 17], [28, 24, 11, 23]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_7 | 5_1 # m9_7 | 5_1 # m9_7 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 21, 15, 22], [16, 25, 17, 26], [18, 15, 19, 16], [20, 13, 21, 14], [22, 11, 23, 12], [24, 27, 25, 28], [26, 17, 27, 18], [28, 23, 11, 24]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_8 | 5_1 # 9_8 | 5_1 # 9_8 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 26, 12, 27], [13, 24, 14, 25], [15, 21, 16, 20], [17, 11, 18, 28], [19, 23, 20, 22], [21, 17, 22, 16], [23, 14, 24, 15], [25, 12, 26, 13], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_8 | 5_1 # m9_8 | 5_1 # m9_8 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 27, 12, 26], [13, 25, 14, 24], [15, 20, 16, 21], [17, 28, 18, 11], [19, 22, 20, 23], [21, 16, 22, 17], [23, 15, 24, 14], [25, 13, 26, 12], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_9 | 5_1 # 9_9 | 5_1 # 9_9 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 12, 22], [13, 19, 14, 18], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 12], [21, 11, 22, 28], [23, 15, 24, 14], [25, 17, 26, 16], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_9 | 5_1 # m9_9 | 5_1 # m9_9 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 12, 23], [13, 18, 14, 19], [15, 24, 16, 25], [17, 26, 18, 27], [19, 12, 20, 13], [21, 28, 22, 11], [23, 14, 24, 15], [25, 16, 26, 17], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_10 | 5_1 # 9_10 | 5_1 # 9_10 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 12, 22], [13, 21, 14, 20], [15, 27, 16, 26], [17, 25, 18, 24], [19, 11, 20, 28], [21, 13, 22, 12], [23, 15, 24, 14], [25, 17, 26, 16], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_10 | 5_1 # m9_10 | 5_1 # m9_10 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 12, 23], [13, 20, 14, 21], [15, 26, 16, 27], [17, 24, 18, 25], [19, 28, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15], [25, 16, 26, 17], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_11 | 5_1 # 9_11 | 5_1 # 9_11 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 13, 18], [14, 23, 15, 24], [16, 25, 17, 26], [18, 22, 19, 21], [20, 27, 21, 28], [22, 13, 23, 14], [24, 15, 25, 16], [26, 12, 27, 11], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_11 | 5_1 # m9_11 | 5_1 # m9_11 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 13, 17], [14, 24, 15, 23], [16, 26, 17, 25], [18, 21, 19, 22], [20, 28, 21, 27], [22, 14, 23, 13], [24, 16, 25, 15], [26, 11, 27, 12], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_12 | 5_1 # 9_12 | 5_1 # 9_12 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 26, 15, 25], [16, 24, 17, 23], [18, 13, 19, 14], [20, 28, 21, 27], [22, 18, 23, 17], [24, 16, 25, 15], [26, 12, 27, 11], [28, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_12 | 5_1 # m9_12 | 5_1 # m9_12 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 25, 15, 26], [16, 23, 17, 24], [18, 14, 19, 13], [20, 27, 21, 28], [22, 17, 23, 18], [24, 15, 25, 16], [26, 11, 27, 12], [28, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_13 | 5_1 # 9_13 | 5_1 # 9_13 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 13, 21], [14, 24, 15, 23], [16, 26, 17, 25], [18, 28, 19, 27], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 25, 11], [26, 20, 27, 19], [28, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_13 | 5_1 # m9_13 | 5_1 # m9_13 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 13, 22], [14, 23, 15, 24], [16, 25, 17, 26], [18, 27, 19, 28], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 25, 12], [26, 19, 27, 20], [28, 17, 11, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_14 | 5_1 # 9_14 | 5_1 # 9_14 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 12, 23], [13, 20, 14, 21], [15, 26, 16, 27], [17, 11, 18, 28], [19, 14, 20, 15], [21, 12, 22, 13], [23, 19, 24, 18], [25, 16, 26, 17], [27, 25, 28, 24]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_14 | 5_1 # m9_14 | 5_1 # m9_14 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 12, 22], [13, 21, 14, 20], [15, 27, 16, 26], [17, 28, 18, 11], [19, 15, 20, 14], [21, 13, 22, 12], [23, 18, 24, 19], [25, 17, 26, 16], [27, 24, 28, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_15 | 5_1 # 9_15 | 5_1 # 9_15 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 17, 15, 18], [16, 25, 17, 26], [18, 13, 19, 14], [20, 24, 21, 23], [22, 27, 23, 28], [24, 15, 25, 16], [26, 12, 27, 11], [28, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_15 | 5_1 # m9_15 | 5_1 # m9_15 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 18, 15, 17], [16, 26, 17, 25], [18, 14, 19, 13], [20, 23, 21, 24], [22, 28, 23, 27], [24, 16, 25, 15], [26, 11, 27, 12], [28, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_16 | 5_1 # 9_16 | 5_1 # 9_16 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 21, 14, 20], [15, 25, 16, 24], [17, 15, 18, 14], [19, 13, 20, 12], [21, 27, 22, 26], [23, 11, 24, 28], [25, 17, 26, 16], [27, 23, 28, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_16 | 5_1 # m9_16 | 5_1 # m9_16 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 19], [13, 20, 14, 21], [15, 24, 16, 25], [17, 14, 18, 15], [19, 12, 20, 13], [21, 26, 22, 27], [23, 28, 24, 11], [25, 16, 26, 17], [27, 22, 28, 23]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_17 | 5_1 # 9_17 | 5_1 # 9_17 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 22, 14, 23], [15, 26, 16, 27], [17, 11, 18, 28], [19, 13, 20, 12], [21, 14, 22, 15], [23, 21, 24, 20], [25, 16, 26, 17], [27, 25, 28, 24]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_17 | 5_1 # m9_17 | 5_1 # m9_17 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 19], [13, 23, 14, 22], [15, 27, 16, 26], [17, 28, 18, 11], [19, 12, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 17, 26, 16], [27, 24, 28, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_18 | 5_1 # 9_18 | 5_1 # 9_18 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 13, 21], [14, 12, 15, 11], [16, 26, 17, 25], [18, 24, 19, 23], [20, 28, 21, 27], [22, 14, 23, 13], [24, 18, 25, 17], [26, 20, 27, 19], [28, 16, 11, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_18 | 5_1 # m9_18 | 5_1 # m9_18 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 13, 22], [14, 11, 15, 12], [16, 25, 17, 26], [18, 23, 19, 24], [20, 27, 21, 28], [22, 13, 23, 14], [24, 17, 25, 18], [26, 19, 27, 20], [28, 15, 11, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_19 | 5_1 # 9_19 | 5_1 # 9_19 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [14, 21, 15, 22], [16, 14, 17, 13], [18, 27, 19, 28], [20, 15, 21, 16], [22, 18, 23, 17], [24, 12, 25, 11], [26, 19, 27, 20], [28, 26, 11, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_19 | 5_1 # m9_19 | 5_1 # m9_19 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [14, 22, 15, 21], [16, 13, 17, 14], [18, 28, 19, 27], [20, 16, 21, 15], [22, 17, 23, 18], [24, 11, 25, 12], [26, 20, 27, 19], [28, 25, 11, 26]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_20 | 5_1 # 9_20 | 5_1 # 9_20 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 12, 20], [13, 26, 14, 27], [15, 23, 16, 22], [17, 13, 18, 12], [19, 11, 20, 28], [21, 25, 22, 24], [23, 17, 24, 16], [25, 14, 26, 15], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_20 | 5_1 # m9_20 | 5_1 # m9_20 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 12, 21], [13, 27, 14, 26], [15, 22, 16, 23], [17, 12, 18, 13], [19, 28, 20, 11], [21, 24, 22, 25], [23, 16, 24, 17], [25, 15, 26, 14], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_21 | 5_1 # 9_21 | 5_1 # 9_21 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 13, 18], [14, 23, 15, 24], [16, 25, 17, 26], [18, 22, 19, 21], [20, 27, 21, 28], [22, 15, 23, 16], [24, 13, 25, 14], [26, 12, 27, 11], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_21 | 5_1 # m9_21 | 5_1 # m9_21 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 13, 17], [14, 24, 15, 23], [16, 26, 17, 25], [18, 21, 19, 22], [20, 28, 21, 27], [22, 16, 23, 15], [24, 14, 25, 13], [26, 11, 27, 12], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_22 | 5_1 # 9_22 | 5_1 # 9_22 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [13, 18, 14, 19], [15, 24, 16, 25], [17, 21, 18, 20], [19, 12, 20, 13], [21, 27, 22, 26], [23, 11, 24, 28], [25, 14, 26, 15], [27, 23, 28, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_22 | 5_1 # m9_22 | 5_1 # m9_22 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [13, 19, 14, 18], [15, 25, 16, 24], [17, 20, 18, 21], [19, 13, 20, 12], [21, 26, 22, 27], [23, 28, 24, 11], [25, 15, 26, 14], [27, 22, 28, 23]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_23 | 5_1 # 9_23 | 5_1 # 9_23 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 26, 13, 25], [14, 22, 15, 21], [16, 14, 17, 13], [18, 28, 19, 27], [20, 24, 21, 23], [22, 16, 23, 15], [24, 18, 25, 17], [26, 12, 27, 11], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_23 | 5_1 # m9_23 | 5_1 # m9_23 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 25, 13, 26], [14, 21, 15, 22], [16, 13, 17, 14], [18, 27, 19, 28], [20, 23, 21, 24], [22, 15, 23, 16], [24, 17, 25, 18], [26, 11, 27, 12], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_24 | 5_1 # 9_24 | 5_1 # 9_24 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 12, 22], [13, 17, 14, 16], [15, 11, 16, 28], [17, 24, 18, 25], [19, 26, 20, 27], [21, 13, 22, 12], [23, 20, 24, 21], [25, 18, 26, 19], [27, 15, 28, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_24 | 5_1 # m9_24 | 5_1 # m9_24 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 12, 23], [13, 16, 14, 17], [15, 28, 16, 11], [17, 25, 18, 24], [19, 27, 20, 26], [21, 12, 22, 13], [23, 21, 24, 20], [25, 19, 26, 18], [27, 14, 28, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_25 | 5_1 # 9_25 | 5_1 # 9_25 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 27, 15, 28], [16, 22, 17, 21], [18, 14, 19, 13], [20, 24, 21, 23], [22, 18, 23, 17], [24, 12, 25, 11], [26, 15, 27, 16], [28, 26, 11, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_25 | 5_1 # m9_25 | 5_1 # m9_25 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 28, 15, 27], [16, 21, 17, 22], [18, 13, 19, 14], [20, 23, 21, 24], [22, 17, 23, 18], [24, 11, 25, 12], [26, 16, 27, 15], [28, 25, 11, 26]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_26 | 5_1 # 9_26 | 5_1 # 9_26 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 21, 15, 22], [16, 27, 17, 28], [18, 25, 19, 26], [20, 24, 21, 23], [22, 13, 23, 14], [24, 12, 25, 11], [26, 15, 27, 16], [28, 17, 11, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_26 | 5_1 # m9_26 | 5_1 # m9_26 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 22, 15, 21], [16, 28, 17, 27], [18, 26, 19, 25], [20, 23, 21, 24], [22, 14, 23, 13], [24, 11, 25, 12], [26, 16, 27, 15], [28, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_27 | 5_1 # 9_27 | 5_1 # 9_27 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 17, 15, 18], [16, 24, 17, 23], [18, 25, 19, 26], [20, 28, 21, 27], [22, 13, 23, 14], [24, 16, 25, 15], [26, 12, 27, 11], [28, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_27 | 5_1 # m9_27 | 5_1 # m9_27 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 18, 15, 17], [16, 23, 17, 24], [18, 26, 19, 25], [20, 27, 21, 28], [22, 14, 23, 13], [24, 15, 25, 16], [26, 11, 27, 12], [28, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_28 | 5_1 # 9_28 | 5_1 # 9_28 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 26, 12, 27], [13, 25, 14, 24], [15, 13, 16, 12], [17, 23, 18, 22], [19, 17, 20, 16], [21, 28, 22, 11], [23, 19, 24, 18], [25, 15, 26, 14], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_28 | 5_1 # m9_28 | 5_1 # m9_28 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 27, 12, 26], [13, 24, 14, 25], [15, 12, 16, 13], [17, 22, 18, 23], [19, 16, 20, 17], [21, 11, 22, 28], [23, 18, 24, 19], [25, 14, 26, 15], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_29 | 5_1 # 9_29 | 5_1 # 9_29 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 27, 15, 28], [16, 22, 17, 21], [18, 14, 19, 13], [20, 25, 21, 26], [22, 16, 23, 15], [24, 11, 25, 12], [26, 17, 27, 18], [28, 23, 11, 24]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_29 | 5_1 # m9_29 | 5_1 # m9_29 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 28, 15, 27], [16, 21, 17, 22], [18, 13, 19, 14], [20, 26, 21, 25], [22, 15, 23, 16], [24, 12, 25, 11], [26, 18, 27, 17], [28, 24, 11, 23]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_30 | 5_1 # 9_30 | 5_1 # 9_30 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 26, 14, 27], [15, 11, 16, 28], [17, 22, 18, 23], [19, 13, 20, 12], [21, 16, 22, 17], [23, 20, 24, 21], [25, 14, 26, 15], [27, 25, 28, 24]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_30","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_30 | 5_1 # m9_30 | 5_1 # m9_30 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 19], [13, 27, 14, 26], [15, 28, 16, 11], [17, 23, 18, 22], [19, 12, 20, 13], [21, 17, 22, 16], [23, 21, 24, 20], [25, 15, 26, 14], [27, 24, 28, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_30","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_31 | 5_1 # 9_31 | 5_1 # 9_31 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 20, 14, 21], [15, 23, 16, 22], [17, 11, 18, 28], [19, 26, 20, 27], [21, 25, 22, 24], [23, 17, 24, 16], [25, 14, 26, 15], [27, 13, 28, 12]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_31","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_31 | 5_1 # m9_31 | 5_1 # m9_31 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 19], [13, 21, 14, 20], [15, 22, 16, 23], [17, 28, 18, 11], [19, 27, 20, 26], [21, 24, 22, 25], [23, 16, 24, 17], [25, 15, 26, 14], [27, 12, 28, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_31","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 9_32 | 5_1 # 9_32 | 5_1 # 9_32 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 13, 17], [14, 19, 15, 20], [16, 23, 17, 24], [18, 26, 19, 25], [20, 15, 21, 16], [22, 27, 23, 28], [24, 13, 25, 14], [26, 12, 27, 11], [28, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 5_1 # r9_32 | 5_1 # r9_32 | 5_1 # r9_32 | None | 14 | true | composite | 1 | [[13, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 18], [15, 20, 14, 19], [17, 24, 16, 23], [19, 25, 18, 26], [21, 16, 20, 15], [23, 28, 22, 27], [25, 14, 24, 13], [27, 11, 26, 12], [11, 22, 28, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 5_1 # m9_32 | 5_1 # m9_32 | 5_1 # m9_32 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 13, 18], [14, 20, 15, 19], [16, 24, 17, 23], [18, 25, 19, 26], [20, 16, 21, 15], [22, 28, 23, 27], [24, 14, 25, 13], [26, 11, 27, 12], [28, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 5_1 # mr9_32 | 5_1 # mr9_32 | 5_1 # mr9_32 | None | 14 | true | composite | 1 | [[13, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 17], [15, 19, 14, 20], [17, 23, 16, 24], [19, 26, 18, 25], [21, 15, 20, 16], [23, 27, 22, 28], [25, 13, 24, 14], [27, 12, 26, 11], [11, 21, 28, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 5_1 # 9_33 | 5_1 # 9_33 | 5_1 # 9_33 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 25, 12, 24], [13, 26, 14, 27], [15, 22, 16, 23], [17, 15, 18, 14], [19, 12, 20, 13], [21, 16, 22, 17], [23, 11, 24, 28], [25, 21, 26, 20], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 5_1 # r9_33 | 5_1 # r9_33 | 5_1 # r9_33 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 11, 25], [14, 27, 13, 26], [16, 23, 15, 22], [18, 14, 17, 15], [20, 13, 19, 12], [22, 17, 21, 16], [24, 28, 23, 11], [26, 20, 25, 21], [28, 19, 27, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 5_1 # m9_33 | 5_1 # m9_33 | 5_1 # m9_33 | None | 14 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 12, 25], [13, 27, 14, 26], [15, 23, 16, 22], [17, 14, 18, 15], [19, 13, 20, 12], [21, 17, 22, 16], [23, 28, 24, 11], [25, 20, 26, 21], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 5_1 # mr9_33 | 5_1 # mr9_33 | 5_1 # mr9_33 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 25, 11, 24], [14, 26, 13, 27], [16, 22, 15, 23], [18, 15, 17, 14], [20, 12, 19, 13], [22, 16, 21, 17], [24, 11, 23, 28], [26, 21, 25, 20], [28, 18, 27, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 5_1 # 9_34 | 5_1 # 9_34 | 5_1 # 9_34 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [14, 27, 15, 28], [16, 26, 17, 25], [18, 14, 19, 13], [20, 15, 21, 16], [22, 18, 23, 17], [24, 11, 25, 12], [26, 21, 27, 22], [28, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_34","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m9_34 | 5_1 # m9_34 | 5_1 # m9_34 | None | 14 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [14, 28, 15, 27], [16, 25, 17, 26], [18, 13, 19, 14], [20, 16, 21, 15], [22, 17, 23, 18], [24, 12, 25, 11], [26, 22, 27, 21], [28, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"9_34","mirror":true,"reverse":false}] | false | true | reversible | [] |