6,675,982 rows · 100 per page · Row type: OrientedKnotRow
id
RowRef<OrientedKnotRow>
| knot id
KnotId = string
| name
string
| dt name
string option
| crossing number
int option
| alternating
bool
| kind
string
| component count
int
| pd code
PDCode = int list list
| pd source
string
| source record
string
| amphichiral
bool option
| reversible
bool option
| symmetry type
string option
| possible duplicates
KnotId list
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 3_1 # r11n_154 | 3_1 # r11n_154 | 3_1 # r11n_154 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [27, 13, 26, 14], [15, 10, 14, 9], [9, 26, 8, 25], [16, 22, 15, 23], [19, 11, 18, 12], [11, 21, 10, 22], [18, 24, 17, 25], [24, 16, 23, 17], [7, 20, 28, 19], [21, 28, 20, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_154","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_154 | 3_1 # m11n_154 | 3_1 # m11n_154 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 13, 27, 14], [14, 10, 15, 9], [8, 26, 9, 25], [15, 22, 16, 23], [18, 11, 19, 12], [10, 21, 11, 22], [17, 24, 18, 25], [23, 16, 24, 17], [28, 20, 7, 19], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_154","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_154 | 3_1 # mr11n_154 | 3_1 # mr11n_154 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [27, 14, 26, 13], [15, 9, 14, 10], [9, 25, 8, 26], [16, 23, 15, 22], [19, 12, 18, 11], [11, 22, 10, 21], [18, 25, 17, 24], [24, 17, 23, 16], [7, 19, 28, 20], [21, 27, 20, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_154","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_155 | 3_1 # 11n_155 | 3_1 # 11n_155 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 14, 27, 13], [14, 9, 15, 10], [8, 25, 9, 26], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [24, 15, 25, 16], [16, 23, 17, 24], [19, 7, 20, 28], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_155","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_155 | 3_1 # m11n_155 | 3_1 # m11n_155 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 13, 27, 14], [14, 10, 15, 9], [8, 26, 9, 25], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [24, 16, 25, 15], [16, 24, 17, 23], [19, 28, 20, 7], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_155","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_156 | 3_1 # 11n_156 | 3_1 # 11n_156 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [9, 17, 10, 16], [20, 13, 21, 14], [17, 25, 18, 24], [18, 12, 19, 11], [23, 10, 24, 11], [26, 22, 27, 21], [22, 16, 23, 15], [28, 19, 7, 20], [8, 25, 9, 26], [14, 27, 15, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_156","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_156 | 3_1 # m11n_156 | 3_1 # m11n_156 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [9, 16, 10, 17], [20, 14, 21, 13], [17, 24, 18, 25], [18, 11, 19, 12], [23, 11, 24, 10], [26, 21, 27, 22], [22, 15, 23, 16], [28, 20, 7, 19], [8, 26, 9, 25], [14, 28, 15, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_156","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_157 | 3_1 # 11n_157 | 3_1 # 11n_157 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [9, 17, 10, 16], [20, 13, 21, 14], [17, 25, 18, 24], [11, 18, 12, 19], [23, 10, 24, 11], [26, 22, 27, 21], [15, 22, 16, 23], [28, 19, 7, 20], [25, 9, 26, 8], [14, 27, 15, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_157","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_157 | 3_1 # m11n_157 | 3_1 # m11n_157 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [9, 16, 10, 17], [20, 14, 21, 13], [17, 24, 18, 25], [11, 19, 12, 18], [23, 11, 24, 10], [26, 21, 27, 22], [15, 23, 16, 22], [28, 20, 7, 19], [25, 8, 26, 9], [14, 28, 15, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_157","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_158 | 3_1 # 11n_158 | 3_1 # 11n_158 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [16, 9, 17, 10], [8, 23, 9, 24], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [26, 16, 27, 15], [19, 7, 20, 28], [14, 26, 15, 25], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_158","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_158 | 3_1 # m11n_158 | 3_1 # m11n_158 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [16, 10, 17, 9], [8, 24, 9, 23], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [26, 15, 27, 16], [19, 28, 20, 7], [14, 25, 15, 26], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_158","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_159 | 3_1 # 11n_159 | 3_1 # 11n_159 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [13, 24, 14, 25], [16, 9, 17, 10], [8, 23, 9, 24], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [15, 26, 16, 27], [28, 19, 7, 20], [25, 14, 26, 15], [20, 27, 21, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_159","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_159 | 3_1 # r11n_159 | 3_1 # r11n_159 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [14, 25, 13, 24], [17, 10, 16, 9], [9, 24, 8, 23], [23, 18, 22, 17], [19, 11, 18, 12], [11, 21, 10, 22], [16, 27, 15, 26], [7, 20, 28, 19], [26, 15, 25, 14], [21, 28, 20, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_159","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_159 | 3_1 # m11n_159 | 3_1 # m11n_159 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [13, 25, 14, 24], [16, 10, 17, 9], [8, 24, 9, 23], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [15, 27, 16, 26], [28, 20, 7, 19], [25, 15, 26, 14], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_159","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_159 | 3_1 # mr11n_159 | 3_1 # mr11n_159 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [14, 24, 13, 25], [17, 9, 16, 10], [9, 23, 8, 24], [23, 17, 22, 18], [19, 12, 18, 11], [11, 22, 10, 21], [16, 26, 15, 27], [7, 19, 28, 20], [26, 14, 25, 15], [21, 27, 20, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_159","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_160 | 3_1 # 11n_160 | 3_1 # 11n_160 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [26, 14, 27, 13], [17, 25, 18, 24], [18, 12, 19, 11], [8, 25, 9, 26], [14, 22, 15, 21], [9, 17, 10, 16], [22, 16, 23, 15], [23, 10, 24, 11], [28, 19, 7, 20], [20, 27, 21, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_160","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_160 | 3_1 # r11n_160 | 3_1 # r11n_160 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [27, 13, 26, 14], [18, 24, 17, 25], [19, 11, 18, 12], [9, 26, 8, 25], [15, 21, 14, 22], [10, 16, 9, 17], [23, 15, 22, 16], [24, 11, 23, 10], [7, 20, 28, 19], [21, 28, 20, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_160","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_160 | 3_1 # m11n_160 | 3_1 # m11n_160 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [26, 13, 27, 14], [17, 24, 18, 25], [18, 11, 19, 12], [8, 26, 9, 25], [14, 21, 15, 22], [9, 16, 10, 17], [22, 15, 23, 16], [23, 11, 24, 10], [28, 20, 7, 19], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_160","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_160 | 3_1 # mr11n_160 | 3_1 # mr11n_160 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [27, 14, 26, 13], [18, 25, 17, 24], [19, 12, 18, 11], [9, 25, 8, 26], [15, 22, 14, 21], [10, 17, 9, 16], [23, 16, 22, 15], [24, 10, 23, 11], [7, 19, 28, 20], [21, 27, 20, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_160","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_161 | 3_1 # 11n_161 | 3_1 # 11n_161 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 16, 25, 15], [16, 9, 17, 10], [8, 23, 9, 24], [26, 14, 27, 13], [22, 17, 23, 18], [18, 12, 19, 11], [10, 22, 11, 21], [14, 26, 15, 25], [19, 7, 20, 28], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_161","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_161 | 3_1 # m11n_161 | 3_1 # m11n_161 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 15, 25, 16], [16, 10, 17, 9], [8, 24, 9, 23], [26, 13, 27, 14], [22, 18, 23, 17], [18, 11, 19, 12], [10, 21, 11, 22], [14, 25, 15, 26], [19, 28, 20, 7], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_161","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_162 | 3_1 # 11n_162 | 3_1 # 11n_162 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [28, 14, 7, 13], [17, 25, 18, 24], [18, 12, 19, 11], [8, 25, 9, 26], [22, 16, 23, 15], [9, 17, 10, 16], [20, 28, 21, 27], [26, 22, 27, 21], [14, 20, 15, 19], [23, 10, 24, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_162","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_162 | 3_1 # m11n_162 | 3_1 # m11n_162 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [28, 13, 7, 14], [17, 24, 18, 25], [18, 11, 19, 12], [8, 26, 9, 25], [22, 15, 23, 16], [9, 16, 10, 17], [20, 27, 21, 28], [26, 21, 27, 22], [14, 19, 15, 20], [23, 11, 24, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_162","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_163 | 3_1 # 11n_163 | 3_1 # 11n_163 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [28, 14, 7, 13], [17, 25, 18, 24], [11, 18, 12, 19], [25, 9, 26, 8], [15, 22, 16, 23], [9, 17, 10, 16], [20, 28, 21, 27], [26, 22, 27, 21], [14, 20, 15, 19], [23, 10, 24, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_163","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_163 | 3_1 # m11n_163 | 3_1 # m11n_163 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [28, 13, 7, 14], [17, 24, 18, 25], [11, 19, 12, 18], [25, 8, 26, 9], [15, 23, 16, 22], [9, 16, 10, 17], [20, 27, 21, 28], [26, 21, 27, 22], [14, 19, 15, 20], [23, 11, 24, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_163","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_164 | 3_1 # 11n_164 | 3_1 # 11n_164 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 14, 23, 13], [9, 17, 10, 16], [15, 27, 16, 26], [19, 25, 20, 24], [25, 19, 26, 18], [8, 21, 9, 22], [27, 15, 28, 14], [20, 11, 21, 12], [17, 11, 18, 10], [28, 24, 7, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_164","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_164 | 3_1 # m11n_164 | 3_1 # m11n_164 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 13, 23, 14], [9, 16, 10, 17], [15, 26, 16, 27], [19, 24, 20, 25], [25, 18, 26, 19], [8, 22, 9, 21], [27, 14, 28, 15], [20, 12, 21, 11], [17, 10, 18, 11], [28, 23, 7, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_164","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_165 | 3_1 # 11n_165 | 3_1 # 11n_165 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 14, 23, 13], [9, 17, 10, 16], [26, 15, 27, 16], [24, 19, 25, 20], [18, 25, 19, 26], [8, 21, 9, 22], [14, 27, 15, 28], [20, 11, 21, 12], [17, 11, 18, 10], [28, 24, 7, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_165","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_165 | 3_1 # m11n_165 | 3_1 # m11n_165 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 13, 23, 14], [9, 16, 10, 17], [26, 16, 27, 15], [24, 20, 25, 19], [18, 26, 19, 25], [8, 22, 9, 21], [14, 28, 15, 27], [20, 12, 21, 11], [17, 10, 18, 11], [28, 23, 7, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_165","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_166 | 3_1 # 11n_166 | 3_1 # 11n_166 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [24, 13, 25, 14], [14, 25, 15, 26], [8, 16, 9, 15], [26, 17, 27, 18], [11, 21, 12, 20], [21, 11, 22, 10], [22, 28, 23, 27], [28, 20, 7, 19], [18, 23, 19, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_166","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_166 | 3_1 # r11n_166 | 3_1 # r11n_166 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 9, 16, 10], [25, 14, 24, 13], [15, 26, 14, 25], [9, 15, 8, 16], [27, 18, 26, 17], [12, 20, 11, 21], [22, 10, 21, 11], [23, 27, 22, 28], [7, 19, 28, 20], [19, 24, 18, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_166","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_166 | 3_1 # m11n_166 | 3_1 # m11n_166 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [24, 14, 25, 13], [14, 26, 15, 25], [8, 15, 9, 16], [26, 18, 27, 17], [11, 20, 12, 21], [21, 10, 22, 11], [22, 27, 23, 28], [28, 19, 7, 20], [18, 24, 19, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_166","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_166 | 3_1 # mr11n_166 | 3_1 # mr11n_166 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 10, 16, 9], [25, 13, 24, 14], [15, 25, 14, 26], [9, 16, 8, 15], [27, 17, 26, 18], [12, 21, 11, 20], [22, 11, 21, 10], [23, 28, 22, 27], [7, 20, 28, 19], [19, 23, 18, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_166","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_167 | 3_1 # 11n_167 | 3_1 # 11n_167 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 10, 17, 9], [26, 14, 27, 13], [28, 21, 7, 22], [17, 24, 18, 25], [23, 18, 24, 19], [22, 27, 23, 28], [14, 26, 15, 25], [20, 12, 21, 11], [8, 16, 9, 15], [10, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_167","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_167 | 3_1 # m11n_167 | 3_1 # m11n_167 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 9, 17, 10], [26, 13, 27, 14], [28, 22, 7, 21], [17, 25, 18, 24], [23, 19, 24, 18], [22, 28, 23, 27], [14, 25, 15, 26], [20, 11, 21, 12], [8, 15, 9, 16], [10, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_167","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_168 | 3_1 # 11n_168 | 3_1 # 11n_168 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 12, 21, 11], [26, 14, 27, 13], [28, 21, 7, 22], [22, 27, 23, 28], [14, 24, 15, 23], [16, 10, 17, 9], [10, 16, 11, 15], [25, 18, 26, 19], [17, 24, 18, 25], [8, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_168","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_168 | 3_1 # m11n_168 | 3_1 # m11n_168 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 11, 21, 12], [26, 13, 27, 14], [28, 22, 7, 21], [22, 28, 23, 27], [14, 23, 15, 24], [16, 9, 17, 10], [10, 15, 11, 16], [25, 19, 26, 18], [17, 25, 18, 24], [8, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_168","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_169 | 3_1 # 11n_169 | 3_1 # 11n_169 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 14, 19, 13], [11, 23, 12, 22], [9, 17, 10, 16], [17, 9, 18, 8], [23, 11, 24, 10], [25, 15, 26, 14], [15, 25, 16, 24], [26, 20, 27, 19], [28, 22, 7, 21], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_169","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_169 | 3_1 # m11n_169 | 3_1 # m11n_169 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 13, 19, 14], [11, 22, 12, 23], [9, 16, 10, 17], [17, 8, 18, 9], [23, 10, 24, 11], [25, 14, 26, 15], [15, 24, 16, 25], [26, 19, 27, 20], [28, 21, 7, 22], [20, 27, 21, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_169","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_170 | 3_1 # 11n_170 | 3_1 # 11n_170 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 14, 19, 13], [22, 11, 23, 12], [16, 9, 17, 10], [8, 17, 9, 18], [10, 23, 11, 24], [14, 25, 15, 26], [24, 15, 25, 16], [21, 26, 22, 27], [19, 28, 20, 7], [27, 20, 28, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_170","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_170 | 3_1 # m11n_170 | 3_1 # m11n_170 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 13, 19, 14], [22, 12, 23, 11], [16, 10, 17, 9], [8, 18, 9, 17], [10, 24, 11, 23], [14, 26, 15, 25], [24, 16, 25, 15], [21, 27, 22, 26], [19, 7, 20, 28], [27, 21, 28, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_170","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_171 | 3_1 # 11n_171 | 3_1 # 11n_171 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [18, 14, 19, 13], [11, 23, 12, 22], [9, 17, 10, 16], [17, 9, 18, 8], [23, 11, 24, 10], [25, 15, 26, 14], [15, 25, 16, 24], [26, 22, 27, 21], [28, 20, 7, 19], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_171","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_171 | 3_1 # m11n_171 | 3_1 # m11n_171 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [18, 13, 19, 14], [11, 22, 12, 23], [9, 16, 10, 17], [17, 8, 18, 9], [23, 10, 24, 11], [25, 14, 26, 15], [15, 24, 16, 25], [26, 21, 27, 22], [28, 19, 7, 20], [20, 27, 21, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_171","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_172 | 3_1 # 11n_172 | 3_1 # 11n_172 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [11, 22, 12, 23], [28, 23, 7, 24], [24, 19, 25, 20], [20, 27, 21, 28], [18, 14, 19, 13], [16, 9, 17, 10], [8, 17, 9, 18], [26, 16, 27, 15], [21, 10, 22, 11], [14, 26, 15, 25]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_172","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_172 | 3_1 # r11n_172 | 3_1 # r11n_172 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [12, 23, 11, 22], [7, 24, 28, 23], [25, 20, 24, 19], [21, 28, 20, 27], [19, 13, 18, 14], [17, 10, 16, 9], [9, 18, 8, 17], [27, 15, 26, 16], [22, 11, 21, 10], [15, 25, 14, 26]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_172","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_172 | 3_1 # m11n_172 | 3_1 # m11n_172 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [11, 23, 12, 22], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [18, 13, 19, 14], [16, 10, 17, 9], [8, 18, 9, 17], [26, 15, 27, 16], [21, 11, 22, 10], [14, 25, 15, 26]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_172","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_172 | 3_1 # mr11n_172 | 3_1 # mr11n_172 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [12, 22, 11, 23], [7, 23, 28, 24], [25, 19, 24, 20], [21, 27, 20, 28], [19, 14, 18, 13], [17, 9, 16, 10], [9, 17, 8, 18], [27, 16, 26, 15], [22, 10, 21, 11], [15, 26, 14, 25]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_172","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_173 | 3_1 # 11n_173 | 3_1 # 11n_173 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 19, 25, 20], [20, 27, 21, 28], [18, 14, 19, 13], [9, 17, 10, 16], [17, 9, 18, 8], [26, 16, 27, 15], [10, 22, 11, 21], [14, 26, 15, 25]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_173","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_173 | 3_1 # m11n_173 | 3_1 # m11n_173 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 20, 25, 19], [20, 28, 21, 27], [18, 13, 19, 14], [9, 16, 10, 17], [17, 8, 18, 9], [26, 15, 27, 16], [10, 21, 11, 22], [14, 25, 15, 26]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_173","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_174 | 3_1 # 11n_174 | 3_1 # 11n_174 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [20, 13, 21, 14], [9, 17, 10, 16], [26, 16, 27, 15], [18, 28, 19, 27], [14, 26, 15, 25], [17, 11, 18, 10], [24, 20, 25, 19], [8, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_174","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_174 | 3_1 # r11n_174 | 3_1 # r11n_174 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [21, 14, 20, 13], [10, 16, 9, 17], [27, 15, 26, 16], [19, 27, 18, 28], [15, 25, 14, 26], [18, 10, 17, 11], [25, 19, 24, 20], [9, 21, 8, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_174","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_174 | 3_1 # m11n_174 | 3_1 # m11n_174 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [20, 14, 21, 13], [9, 16, 10, 17], [26, 15, 27, 16], [18, 27, 19, 28], [14, 25, 15, 26], [17, 10, 18, 11], [24, 19, 25, 20], [8, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_174","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_174 | 3_1 # mr11n_174 | 3_1 # mr11n_174 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [21, 13, 20, 14], [10, 17, 9, 16], [27, 16, 26, 15], [19, 28, 18, 27], [15, 26, 14, 25], [18, 11, 17, 10], [25, 20, 24, 19], [9, 22, 8, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_174","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_175 | 3_1 # 11n_175 | 3_1 # 11n_175 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 17, 10, 16], [17, 24, 18, 25], [23, 18, 24, 19], [19, 9, 20, 8], [25, 11, 26, 10], [27, 15, 28, 14], [15, 27, 16, 26], [28, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_175","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_175 | 3_1 # m11n_175 | 3_1 # m11n_175 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 16, 10, 17], [17, 25, 18, 24], [23, 19, 24, 18], [19, 8, 20, 9], [25, 10, 26, 11], [27, 14, 28, 15], [15, 26, 16, 27], [28, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_175","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_176 | 3_1 # 11n_176 | 3_1 # 11n_176 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [11, 22, 12, 23], [28, 23, 7, 24], [24, 13, 25, 14], [16, 9, 17, 10], [8, 17, 9, 18], [18, 26, 19, 25], [26, 16, 27, 15], [20, 27, 21, 28], [14, 19, 15, 20], [21, 10, 22, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_176","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_176 | 3_1 # r11n_176 | 3_1 # r11n_176 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [12, 23, 11, 22], [7, 24, 28, 23], [25, 14, 24, 13], [17, 10, 16, 9], [9, 18, 8, 17], [19, 25, 18, 26], [27, 15, 26, 16], [21, 28, 20, 27], [15, 20, 14, 19], [22, 11, 21, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_176","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_176 | 3_1 # m11n_176 | 3_1 # m11n_176 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [11, 23, 12, 22], [28, 24, 7, 23], [24, 14, 25, 13], [16, 10, 17, 9], [8, 18, 9, 17], [18, 25, 19, 26], [26, 15, 27, 16], [20, 28, 21, 27], [14, 20, 15, 19], [21, 11, 22, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_176","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_176 | 3_1 # mr11n_176 | 3_1 # mr11n_176 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [12, 22, 11, 23], [7, 23, 28, 24], [25, 13, 24, 14], [17, 9, 16, 10], [9, 17, 8, 18], [19, 26, 18, 25], [27, 16, 26, 15], [21, 27, 20, 28], [15, 19, 14, 20], [22, 10, 21, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_176","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_177 | 3_1 # 11n_177 | 3_1 # 11n_177 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 13, 25, 14], [9, 17, 10, 16], [17, 9, 18, 8], [18, 26, 19, 25], [26, 16, 27, 15], [20, 27, 21, 28], [14, 19, 15, 20], [10, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_177","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_177 | 3_1 # r11n_177 | 3_1 # r11n_177 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [23, 11, 22, 12], [7, 24, 28, 23], [25, 14, 24, 13], [10, 16, 9, 17], [18, 8, 17, 9], [19, 25, 18, 26], [27, 15, 26, 16], [21, 28, 20, 27], [15, 20, 14, 19], [11, 21, 10, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_177","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_177 | 3_1 # m11n_177 | 3_1 # m11n_177 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 14, 25, 13], [9, 16, 10, 17], [17, 8, 18, 9], [18, 25, 19, 26], [26, 15, 27, 16], [20, 28, 21, 27], [14, 20, 15, 19], [10, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_177","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_177 | 3_1 # mr11n_177 | 3_1 # mr11n_177 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [23, 12, 22, 11], [7, 23, 28, 24], [25, 13, 24, 14], [10, 17, 9, 16], [18, 9, 17, 8], [19, 26, 18, 25], [27, 16, 26, 15], [21, 27, 20, 28], [15, 19, 14, 20], [11, 22, 10, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_177","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_178 | 3_1 # 11n_178 | 3_1 # 11n_178 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [22, 12, 23, 11], [28, 23, 7, 24], [24, 13, 25, 14], [9, 17, 10, 16], [18, 28, 19, 27], [14, 20, 15, 19], [26, 16, 27, 15], [17, 11, 18, 10], [20, 25, 21, 26], [8, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_178","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_178 | 3_1 # m11n_178 | 3_1 # m11n_178 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [22, 11, 23, 12], [28, 24, 7, 23], [24, 14, 25, 13], [9, 16, 10, 17], [18, 27, 19, 28], [14, 19, 15, 20], [26, 15, 27, 16], [17, 10, 18, 11], [20, 26, 21, 25], [8, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_178","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_179 | 3_1 # 11n_179 | 3_1 # 11n_179 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [9, 16, 10, 17], [20, 14, 21, 13], [17, 25, 18, 24], [28, 22, 7, 21], [22, 28, 23, 27], [23, 19, 24, 18], [14, 20, 15, 19], [11, 26, 12, 27], [15, 8, 16, 9], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_179","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_179 | 3_1 # m11n_179 | 3_1 # m11n_179 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [9, 17, 10, 16], [20, 13, 21, 14], [17, 24, 18, 25], [28, 21, 7, 22], [22, 27, 23, 28], [23, 18, 24, 19], [14, 19, 15, 20], [11, 27, 12, 26], [15, 9, 16, 8], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_179","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_180 | 3_1 # 11n_180 | 3_1 # 11n_180 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 19, 10, 18], [19, 9, 20, 8], [23, 11, 24, 10], [27, 15, 28, 14], [17, 27, 18, 26], [15, 25, 16, 24], [25, 17, 26, 16], [28, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_180","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_180 | 3_1 # m11n_180 | 3_1 # m11n_180 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 18, 10, 19], [19, 8, 20, 9], [23, 10, 24, 11], [27, 14, 28, 15], [17, 26, 18, 27], [15, 24, 16, 25], [25, 16, 26, 17], [28, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_180","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_181 | 3_1 # 11n_181 | 3_1 # 11n_181 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [11, 23, 12, 22], [9, 19, 10, 18], [19, 9, 20, 8], [23, 11, 24, 10], [27, 15, 28, 14], [15, 27, 16, 26], [17, 25, 18, 24], [25, 17, 26, 16], [28, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_181","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_181 | 3_1 # m11n_181 | 3_1 # m11n_181 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [11, 22, 12, 23], [9, 18, 10, 19], [19, 8, 20, 9], [23, 10, 24, 11], [27, 14, 28, 15], [15, 26, 16, 27], [17, 24, 18, 25], [25, 16, 26, 17], [28, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_181","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_182 | 3_1 # 11n_182 | 3_1 # 11n_182 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [24, 14, 25, 13], [8, 23, 9, 24], [17, 10, 18, 11], [9, 18, 10, 19], [22, 11, 23, 12], [26, 19, 27, 20], [16, 27, 17, 28], [20, 16, 21, 15], [28, 22, 7, 21], [14, 26, 15, 25]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_182","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_182 | 3_1 # m11n_182 | 3_1 # m11n_182 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [24, 13, 25, 14], [8, 24, 9, 23], [17, 11, 18, 10], [9, 19, 10, 18], [22, 12, 23, 11], [26, 20, 27, 19], [16, 28, 17, 27], [20, 15, 21, 16], [28, 21, 7, 22], [14, 25, 15, 26]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_182","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_183 | 3_1 # 11n_183 | 3_1 # 11n_183 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 12, 17, 11], [9, 21, 10, 20], [28, 17, 7, 18], [22, 28, 23, 27], [26, 20, 27, 19], [13, 25, 14, 24], [25, 15, 26, 14], [21, 11, 22, 10], [18, 24, 19, 23], [8, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_183","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_183 | 3_1 # m11n_183 | 3_1 # m11n_183 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 11, 17, 12], [9, 20, 10, 21], [28, 18, 7, 17], [22, 27, 23, 28], [26, 19, 27, 20], [13, 24, 14, 25], [25, 14, 26, 15], [21, 10, 22, 11], [18, 23, 19, 24], [8, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_183","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 11n_184 | 3_1 # 11n_184 | 3_1 # 11n_184 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [16, 12, 17, 11], [9, 21, 10, 20], [28, 17, 7, 18], [22, 28, 23, 27], [26, 20, 27, 19], [24, 13, 25, 14], [14, 25, 15, 26], [21, 11, 22, 10], [18, 24, 19, 23], [8, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_184","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 3_1 # r11n_184 | 3_1 # r11n_184 | 3_1 # r11n_184 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [17, 11, 16, 12], [10, 20, 9, 21], [7, 18, 28, 17], [23, 27, 22, 28], [27, 19, 26, 20], [25, 14, 24, 13], [15, 26, 14, 25], [22, 10, 21, 11], [19, 23, 18, 24], [9, 15, 8, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_184","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 3_1 # m11n_184 | 3_1 # m11n_184 | 3_1 # m11n_184 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [16, 11, 17, 12], [9, 20, 10, 21], [28, 18, 7, 17], [22, 27, 23, 28], [26, 19, 27, 20], [24, 14, 25, 13], [14, 26, 15, 25], [21, 10, 22, 11], [18, 23, 19, 24], [8, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_184","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 3_1 # mr11n_184 | 3_1 # mr11n_184 | 3_1 # mr11n_184 | None | None | false | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 12, 7], [17, 12, 16, 11], [10, 21, 9, 20], [7, 17, 28, 18], [23, 28, 22, 27], [27, 20, 26, 19], [25, 13, 24, 14], [15, 25, 14, 26], [22, 11, 21, 10], [19, 24, 18, 23], [9, 16, 8, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_184","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 3_1 # 11n_185 | 3_1 # 11n_185 | 3_1 # 11n_185 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [22, 11, 23, 12], [8, 19, 9, 20], [18, 24, 19, 23], [24, 10, 25, 9], [10, 18, 11, 17], [15, 27, 16, 26], [25, 15, 26, 14], [27, 17, 28, 16], [28, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_185","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m11n_185 | 3_1 # m11n_185 | 3_1 # m11n_185 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 13, 8], [20, 13, 21, 14], [22, 12, 23, 11], [8, 20, 9, 19], [18, 23, 19, 24], [24, 9, 25, 10], [10, 17, 11, 18], [15, 26, 16, 27], [25, 14, 26, 15], [27, 16, 28, 17], [28, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"11n_185","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m3_1 # 5_1 | m3_1 # m3_1 # m3_1 # 5_1 | m3_1 # m3_1 # m3_1 # 5_1 | None | 14 | true | composite | 1 | [[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 26, 21, 25], [22, 28, 23, 27], [24, 20, 25, 19], [26, 22, 27, 21], [28, 24, 19, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m3_1 # m5_1 | m3_1 # m3_1 # m3_1 # m5_1 | m3_1 # m3_1 # m3_1 # m5_1 | None | 14 | true | composite | 1 | [[20, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 25, 21, 26], [22, 27, 23, 28], [24, 19, 25, 20], [26, 21, 27, 22], [28, 23, 19, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m3_1 # 5_2 | m3_1 # m3_1 # m3_1 # 5_2 | m3_1 # m3_1 # m3_1 # 5_2 | None | 14 | true | composite | 1 | [[19, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 23, 20, 22], [21, 27, 22, 26], [23, 19, 24, 28], [25, 21, 26, 20], [27, 25, 28, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m3_1 # m5_2 | m3_1 # m3_1 # m3_1 # m5_2 | m3_1 # m3_1 # m3_1 # m5_2 | None | 14 | true | composite | 1 | [[19, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 22, 20, 23], [21, 26, 22, 27], [23, 28, 24, 19], [25, 20, 26, 21], [27, 24, 28, 25]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 4_1 # 4_1 | m3_1 # m3_1 # 4_1 # 4_1 | m3_1 # m3_1 # 4_1 # 4_1 | None | 14 | true | composite | 1 | [[24, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 17, 13], [20, 18, 13, 17], [18, 15, 19, 16], [14, 19, 15, 20], [16, 22, 25, 21], [28, 26, 21, 25], [26, 23, 27, 24], [22, 27, 23, 28]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_1 | m3_1 # m3_1 # 8_1 | m3_1 # m3_1 # 8_1 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 21, 14, 20], [15, 19, 16, 18], [17, 24, 18, 25], [19, 15, 20, 14], [21, 13, 22, 28], [23, 27, 24, 26], [25, 16, 26, 17], [27, 23, 28, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_1 | m3_1 # m3_1 # m8_1 | m3_1 # m3_1 # m8_1 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 14, 21], [15, 18, 16, 19], [17, 25, 18, 24], [19, 14, 20, 15], [21, 28, 22, 13], [23, 26, 24, 27], [25, 17, 26, 16], [27, 22, 28, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_2 | m3_1 # m3_1 # 8_2 | m3_1 # m3_1 # 8_2 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 22, 14, 23], [15, 25, 16, 24], [17, 27, 18, 26], [19, 13, 20, 28], [21, 14, 22, 15], [23, 21, 24, 20], [25, 17, 26, 16], [27, 19, 28, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_2 | m3_1 # m3_1 # m8_2 | m3_1 # m3_1 # m8_2 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 23, 14, 22], [15, 24, 16, 25], [17, 26, 18, 27], [19, 28, 20, 13], [21, 15, 22, 14], [23, 20, 24, 21], [25, 16, 26, 17], [27, 18, 28, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_3 | m3_1 # m3_1 # 8_3 | m3_1 # m3_1 # 8_3 | None | 14 | true | composite | 1 | [[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 19, 13], [26, 22, 27, 21], [22, 17, 23, 18], [24, 15, 25, 16], [16, 23, 17, 24], [14, 25, 15, 26], [28, 20, 13, 19], [20, 28, 21, 27]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_4 | m3_1 # m3_1 # 8_4 | m3_1 # m3_1 # 8_4 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 23, 15, 24], [16, 21, 17, 22], [18, 28, 19, 27], [20, 26, 21, 25], [22, 13, 23, 14], [24, 15, 25, 16], [26, 20, 27, 19], [28, 18, 13, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_4 | m3_1 # m3_1 # m8_4 | m3_1 # m3_1 # m8_4 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 24, 15, 23], [16, 22, 17, 21], [18, 27, 19, 28], [20, 25, 21, 26], [22, 14, 23, 13], [24, 16, 25, 15], [26, 19, 27, 20], [28, 17, 13, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_5 | m3_1 # m3_1 # 8_5 | m3_1 # m3_1 # 8_5 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [15, 21, 16, 20], [17, 24, 18, 25], [19, 15, 20, 14], [21, 27, 22, 26], [23, 13, 24, 28], [25, 16, 26, 17], [27, 23, 28, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_5 | m3_1 # m3_1 # m8_5 | m3_1 # m3_1 # m8_5 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [15, 20, 16, 21], [17, 25, 18, 24], [19, 14, 20, 15], [21, 26, 22, 27], [23, 28, 24, 13], [25, 17, 26, 16], [27, 22, 28, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_6 | m3_1 # m3_1 # 8_6 | m3_1 # m3_1 # 8_6 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 21, 15, 22], [16, 26, 17, 25], [18, 28, 19, 27], [20, 24, 21, 23], [22, 13, 23, 14], [24, 20, 25, 19], [26, 18, 27, 17], [28, 16, 13, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_6 | m3_1 # m3_1 # m8_6 | m3_1 # m3_1 # m8_6 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 22, 15, 21], [16, 25, 17, 26], [18, 27, 19, 28], [20, 23, 21, 24], [22, 14, 23, 13], [24, 19, 25, 20], [26, 17, 27, 18], [28, 15, 13, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_7 | m3_1 # m3_1 # 8_7 | m3_1 # m3_1 # 8_7 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 21, 15, 22], [16, 26, 17, 25], [18, 27, 19, 28], [20, 13, 21, 14], [22, 17, 23, 18], [24, 16, 25, 15], [26, 24, 27, 23], [28, 19, 13, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m8_7 | m3_1 # m3_1 # m8_7 | m3_1 # m3_1 # m8_7 | None | 14 | true | composite | 1 | [[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 22, 15, 21], [16, 25, 17, 26], [18, 28, 19, 27], [20, 14, 21, 13], [22, 18, 23, 17], [24, 15, 25, 16], [26, 23, 27, 24], [28, 20, 13, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # 8_8 | m3_1 # m3_1 # 8_8 | m3_1 # m3_1 # 8_8 | None | 14 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [15, 24, 16, 25], [17, 21, 18, 20], [19, 15, 20, 14], [21, 28, 22, 13], [23, 26, 24, 27], [25, 16, 26, 17], [27, 22, 28, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |