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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| m11n_176 | m11n_176 | m11n_176 | m11n_176 | 11 | false | prime | 1 | [[6, 1, 7, 2], [5, 17, 6, 16], [22, 18, 1, 17], [18, 8, 19, 7], [10, 4, 11, 3], [2, 12, 3, 11], [12, 19, 13, 20], [20, 9, 21, 10], [14, 22, 15, 21], [8, 14, 9, 13], [15, 5, 16, 4]] | derived_mirror | 11n_176 | false | false | chiral | [] |
| mr11n_176 | mr11n_176 | mr11n_176 | mr11n_176 | 11 | false | prime | 1 | [[7, 2, 6, 1], [6, 16, 5, 17], [1, 17, 22, 18], [19, 7, 18, 8], [11, 3, 10, 4], [3, 11, 2, 12], [13, 20, 12, 19], [21, 10, 20, 9], [15, 21, 14, 22], [9, 13, 8, 14], [16, 4, 15, 5]] | derived_mirror_reverse | 11n_176 | false | false | chiral | [] |
| 11n_177 | 11n_177 | 11n_177 | 11n_177 | 11 | false | prime | 1 | [[6, 2, 7, 1], [16, 6, 17, 5], [22, 17, 1, 18], [18, 7, 19, 8], [3, 11, 4, 10], [11, 3, 12, 2], [12, 20, 13, 19], [20, 10, 21, 9], [14, 21, 15, 22], [8, 13, 9, 14], [4, 16, 5, 15]] | spreadsheet | sample_dat!row=796 | false | false | chiral | [] |
| r11n_177 | r11n_177 | r11n_177 | r11n_177 | 11 | false | prime | 1 | [[7, 1, 6, 2], [17, 5, 16, 6], [1, 18, 22, 17], [19, 8, 18, 7], [4, 10, 3, 11], [12, 2, 11, 3], [13, 19, 12, 20], [21, 9, 20, 10], [15, 22, 14, 21], [9, 14, 8, 13], [5, 15, 4, 16]] | derived_reverse | 11n_177 | false | false | chiral | [] |
| m11n_177 | m11n_177 | m11n_177 | m11n_177 | 11 | false | prime | 1 | [[6, 1, 7, 2], [16, 5, 17, 6], [22, 18, 1, 17], [18, 8, 19, 7], [3, 10, 4, 11], [11, 2, 12, 3], [12, 19, 13, 20], [20, 9, 21, 10], [14, 22, 15, 21], [8, 14, 9, 13], [4, 15, 5, 16]] | derived_mirror | 11n_177 | false | false | chiral | [] |
| mr11n_177 | mr11n_177 | mr11n_177 | mr11n_177 | 11 | false | prime | 1 | [[7, 2, 6, 1], [17, 6, 16, 5], [1, 17, 22, 18], [19, 7, 18, 8], [4, 11, 3, 10], [12, 3, 11, 2], [13, 20, 12, 19], [21, 10, 20, 9], [15, 21, 14, 22], [9, 13, 8, 14], [5, 16, 4, 15]] | derived_mirror_reverse | 11n_177 | false | false | chiral | [] |
| 11n_178 | 11n_178 | 11n_178 | 11n_178 | 11 | false | prime | 1 | [[6, 2, 7, 1], [16, 6, 17, 5], [22, 17, 1, 18], [18, 7, 19, 8], [3, 11, 4, 10], [12, 22, 13, 21], [8, 14, 9, 13], [20, 10, 21, 9], [11, 5, 12, 4], [14, 19, 15, 20], [2, 16, 3, 15]] | spreadsheet | sample_dat!row=797 | false | true | reversible | [] |
| m11n_178 | m11n_178 | m11n_178 | m11n_178 | 11 | false | prime | 1 | [[6, 1, 7, 2], [16, 5, 17, 6], [22, 18, 1, 17], [18, 8, 19, 7], [3, 10, 4, 11], [12, 21, 13, 22], [8, 13, 9, 14], [20, 9, 21, 10], [11, 4, 12, 5], [14, 20, 15, 19], [2, 15, 3, 16]] | derived_mirror | 11n_178 | false | true | reversible | [] |
| 11n_179 | 11n_179 | 11n_179 | 11n_179 | 11 | false | prime | 1 | [[6, 2, 7, 1], [3, 10, 4, 11], [14, 8, 15, 7], [11, 19, 12, 18], [22, 16, 1, 15], [16, 22, 17, 21], [17, 13, 18, 12], [8, 14, 9, 13], [5, 20, 6, 21], [9, 2, 10, 3], [19, 4, 20, 5]] | spreadsheet | sample_dat!row=798 | false | true | reversible | [] |
| m11n_179 | m11n_179 | m11n_179 | m11n_179 | 11 | false | prime | 1 | [[6, 1, 7, 2], [3, 11, 4, 10], [14, 7, 15, 8], [11, 18, 12, 19], [22, 15, 1, 16], [16, 21, 17, 22], [17, 12, 18, 13], [8, 13, 9, 14], [5, 21, 6, 20], [9, 3, 10, 2], [19, 5, 20, 4]] | derived_mirror | 11n_179 | false | true | reversible | [] |
| 11n_180 | 11n_180 | 11n_180 | 11n_180 | 11 | false | prime | 1 | [[6, 2, 7, 1], [14, 8, 15, 7], [5, 17, 6, 16], [3, 13, 4, 12], [13, 3, 14, 2], [17, 5, 18, 4], [21, 9, 22, 8], [11, 21, 12, 20], [9, 19, 10, 18], [19, 11, 20, 10], [22, 16, 1, 15]] | spreadsheet | sample_dat!row=799 | false | true | reversible | [] |
| m11n_180 | m11n_180 | m11n_180 | m11n_180 | 11 | false | prime | 1 | [[6, 1, 7, 2], [14, 7, 15, 8], [5, 16, 6, 17], [3, 12, 4, 13], [13, 2, 14, 3], [17, 4, 18, 5], [21, 8, 22, 9], [11, 20, 12, 21], [9, 18, 10, 19], [19, 10, 20, 11], [22, 15, 1, 16]] | derived_mirror | 11n_180 | false | true | reversible | [] |
| 11n_181 | 11n_181 | 11n_181 | 11n_181 | 11 | false | prime | 1 | [[6, 2, 7, 1], [14, 8, 15, 7], [5, 17, 6, 16], [3, 13, 4, 12], [13, 3, 14, 2], [17, 5, 18, 4], [21, 9, 22, 8], [9, 21, 10, 20], [11, 19, 12, 18], [19, 11, 20, 10], [22, 16, 1, 15]] | spreadsheet | sample_dat!row=800 | false | true | reversible | [] |
| m11n_181 | m11n_181 | m11n_181 | m11n_181 | 11 | false | prime | 1 | [[6, 1, 7, 2], [14, 7, 15, 8], [5, 16, 6, 17], [3, 12, 4, 13], [13, 2, 14, 3], [17, 4, 18, 5], [21, 8, 22, 9], [9, 20, 10, 21], [11, 18, 12, 19], [19, 10, 20, 11], [22, 15, 1, 16]] | derived_mirror | 11n_181 | false | true | reversible | [] |
| 11n_182 | 11n_182 | 11n_182 | 11n_182 | 11 | false | prime | 1 | [[6, 2, 7, 1], [18, 8, 19, 7], [2, 17, 3, 18], [11, 4, 12, 5], [3, 12, 4, 13], [16, 5, 17, 6], [20, 13, 21, 14], [10, 21, 11, 22], [14, 10, 15, 9], [22, 16, 1, 15], [8, 20, 9, 19]] | spreadsheet | sample_dat!row=801 | false | true | reversible | [] |
| m11n_182 | m11n_182 | m11n_182 | m11n_182 | 11 | false | prime | 1 | [[6, 1, 7, 2], [18, 7, 19, 8], [2, 18, 3, 17], [11, 5, 12, 4], [3, 13, 4, 12], [16, 6, 17, 5], [20, 14, 21, 13], [10, 22, 11, 21], [14, 9, 15, 10], [22, 15, 1, 16], [8, 19, 9, 20]] | derived_mirror | 11n_182 | false | true | reversible | [] |
| 11n_183 | 11n_183 | 11n_183 | 11n_183 | 11 | false | prime | 1 | [[6, 2, 7, 1], [10, 6, 11, 5], [3, 15, 4, 14], [22, 11, 1, 12], [16, 22, 17, 21], [20, 14, 21, 13], [7, 19, 8, 18], [19, 9, 20, 8], [15, 5, 16, 4], [12, 18, 13, 17], [2, 10, 3, 9]] | spreadsheet | sample_dat!row=802 | false | true | reversible | [] |
| m11n_183 | m11n_183 | m11n_183 | m11n_183 | 11 | false | prime | 1 | [[6, 1, 7, 2], [10, 5, 11, 6], [3, 14, 4, 15], [22, 12, 1, 11], [16, 21, 17, 22], [20, 13, 21, 14], [7, 18, 8, 19], [19, 8, 20, 9], [15, 4, 16, 5], [12, 17, 13, 18], [2, 9, 3, 10]] | derived_mirror | 11n_183 | false | true | reversible | [] |
| 11n_184 | 11n_184 | 11n_184 | 11n_184 | 11 | false | prime | 1 | [[6, 2, 7, 1], [10, 6, 11, 5], [3, 15, 4, 14], [22, 11, 1, 12], [16, 22, 17, 21], [20, 14, 21, 13], [18, 7, 19, 8], [8, 19, 9, 20], [15, 5, 16, 4], [12, 18, 13, 17], [2, 10, 3, 9]] | spreadsheet | sample_dat!row=803 | false | false | chiral | [] |
| r11n_184 | r11n_184 | r11n_184 | r11n_184 | 11 | false | prime | 1 | [[7, 1, 6, 2], [11, 5, 10, 6], [4, 14, 3, 15], [1, 12, 22, 11], [17, 21, 16, 22], [21, 13, 20, 14], [19, 8, 18, 7], [9, 20, 8, 19], [16, 4, 15, 5], [13, 17, 12, 18], [3, 9, 2, 10]] | derived_reverse | 11n_184 | false | false | chiral | [] |
| m11n_184 | m11n_184 | m11n_184 | m11n_184 | 11 | false | prime | 1 | [[6, 1, 7, 2], [10, 5, 11, 6], [3, 14, 4, 15], [22, 12, 1, 11], [16, 21, 17, 22], [20, 13, 21, 14], [18, 8, 19, 7], [8, 20, 9, 19], [15, 4, 16, 5], [12, 17, 13, 18], [2, 9, 3, 10]] | derived_mirror | 11n_184 | false | false | chiral | [] |
| mr11n_184 | mr11n_184 | mr11n_184 | mr11n_184 | 11 | false | prime | 1 | [[7, 2, 6, 1], [11, 6, 10, 5], [4, 15, 3, 14], [1, 11, 22, 12], [17, 22, 16, 21], [21, 14, 20, 13], [19, 7, 18, 8], [9, 19, 8, 20], [16, 5, 15, 4], [13, 18, 12, 17], [3, 10, 2, 9]] | derived_mirror_reverse | 11n_184 | false | false | chiral | [] |
| 11n_185 | 11n_185 | 11n_185 | 11n_185 | 11 | false | prime | 1 | [[6, 2, 7, 1], [14, 8, 15, 7], [16, 5, 17, 6], [2, 13, 3, 14], [12, 18, 13, 17], [18, 4, 19, 3], [4, 12, 5, 11], [9, 21, 10, 20], [19, 9, 20, 8], [21, 11, 22, 10], [22, 16, 1, 15]] | spreadsheet | sample_dat!row=804 | false | true | reversible | [] |
| m11n_185 | m11n_185 | m11n_185 | m11n_185 | 11 | false | prime | 1 | [[6, 1, 7, 2], [14, 7, 15, 8], [16, 6, 17, 5], [2, 14, 3, 13], [12, 17, 13, 18], [18, 3, 19, 4], [4, 11, 5, 12], [9, 20, 10, 21], [19, 8, 20, 9], [21, 10, 22, 11], [22, 15, 1, 16]] | derived_mirror | 11n_185 | false | true | reversible | [] |
| 3_1 # 3_1 # 3_1 # 3_1 | 3_1 # 3_1 # 3_1 # 3_1 | 3_1 # 3_1 # 3_1 # 3_1 | None | 12 | true | composite | 1 | [[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 17, 14, 16], [15, 13, 16, 18], [17, 15, 18, 14], [13, 23, 20, 22], [21, 19, 22, 24], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # 3_1 # m3_1 | 3_1 # 3_1 # 3_1 # m3_1 | 3_1 # 3_1 # 3_1 # m3_1 | None | 12 | true | composite | 1 | [[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 17, 14, 16], [15, 13, 16, 18], [17, 15, 18, 14], [13, 22, 20, 23], [21, 24, 22, 19], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # m3_1 # m3_1 | 3_1 # 3_1 # m3_1 # m3_1 | 3_1 # 3_1 # m3_1 # m3_1 | None | 12 | true | composite | 1 | [[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15], [13, 22, 20, 23], [21, 24, 22, 19], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | true | true | fully amphicheiral | [] |
| 3_1 # 3_1 # 6_1 | 3_1 # 3_1 # 6_1 | 3_1 # 3_1 # 6_1 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 19, 14, 18], [15, 22, 16, 23], [17, 15, 18, 14], [19, 13, 20, 24], [21, 16, 22, 17], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # m6_1 | 3_1 # 3_1 # m6_1 | 3_1 # 3_1 # m6_1 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 18, 14, 19], [15, 23, 16, 22], [17, 14, 18, 15], [19, 24, 20, 13], [21, 17, 22, 16], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # 6_2 | 3_1 # 3_1 # 6_2 | 3_1 # 3_1 # 6_2 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 20, 14, 21], [15, 23, 16, 22], [17, 13, 18, 24], [19, 14, 20, 15], [21, 19, 22, 18], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # m6_2 | 3_1 # 3_1 # m6_2 | 3_1 # 3_1 # m6_2 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 21, 14, 20], [15, 22, 16, 23], [17, 24, 18, 13], [19, 15, 20, 14], [21, 18, 22, 19], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # 6_3 | 3_1 # 3_1 # 6_3 | 3_1 # 3_1 # 6_3 | None | 12 | true | composite | 1 | [[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 14, 17, 13], [20, 16, 21, 15], [24, 21, 13, 22], [22, 17, 23, 18], [18, 23, 19, 24], [14, 20, 15, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # m3_1 # m3_1 | 3_1 # m3_1 # m3_1 # m3_1 | 3_1 # m3_1 # m3_1 # m3_1 | None | 12 | true | composite | 1 | [[19, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [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, 24, 22, 19], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # 6_1 | 3_1 # m3_1 # 6_1 | 3_1 # m3_1 # 6_1 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 14, 18], [15, 22, 16, 23], [17, 15, 18, 14], [19, 13, 20, 24], [21, 16, 22, 17], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # m6_1 | 3_1 # m3_1 # m6_1 | 3_1 # m3_1 # m6_1 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 18, 14, 19], [15, 23, 16, 22], [17, 14, 18, 15], [19, 24, 20, 13], [21, 17, 22, 16], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # 6_2 | 3_1 # m3_1 # 6_2 | 3_1 # m3_1 # 6_2 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 14, 21], [15, 23, 16, 22], [17, 13, 18, 24], [19, 14, 20, 15], [21, 19, 22, 18], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # m6_2 | 3_1 # m3_1 # m6_2 | 3_1 # m3_1 # m6_2 | None | 12 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 21, 14, 20], [15, 22, 16, 23], [17, 24, 18, 13], [19, 15, 20, 14], [21, 18, 22, 19], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # 6_3 | 3_1 # m3_1 # 6_3 | 3_1 # m3_1 # 6_3 | None | 12 | true | composite | 1 | [[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 14, 17, 13], [20, 16, 21, 15], [24, 21, 13, 22], [22, 17, 23, 18], [18, 23, 19, 24], [14, 20, 15, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 3_1 # 4_1 # 5_1 | 3_1 # 4_1 # 5_1 | 3_1 # 4_1 # 5_1 | None | 12 | true | composite | 1 | [[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 22, 17, 21], [18, 24, 19, 23], [20, 16, 21, 15], [22, 18, 23, 17], [24, 20, 15, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 4_1 # m5_1 | 3_1 # 4_1 # m5_1 | 3_1 # 4_1 # m5_1 | None | 12 | true | composite | 1 | [[16, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 21, 17, 22], [18, 23, 19, 24], [20, 15, 21, 16], [22, 17, 23, 18], [24, 19, 15, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 4_1 # 5_2 | 3_1 # 4_1 # 5_2 | 3_1 # 4_1 # 5_2 | None | 12 | true | composite | 1 | [[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 19, 16, 18], [17, 23, 18, 22], [19, 15, 20, 24], [21, 17, 22, 16], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 4_1 # m5_2 | 3_1 # 4_1 # m5_2 | 3_1 # 4_1 # m5_2 | None | 12 | true | composite | 1 | [[15, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 18, 16, 19], [17, 22, 18, 23], [19, 24, 20, 15], [21, 16, 22, 17], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_1 | 3_1 # 9_1 | 3_1 # 9_1 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 8, 16], [9, 19, 10, 18], [11, 21, 12, 20], [13, 23, 14, 22], [15, 7, 16, 24], [17, 9, 18, 8], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_1 | 3_1 # m9_1 | 3_1 # m9_1 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 8, 17], [9, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 23], [15, 24, 16, 7], [17, 8, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_2 | 3_1 # 9_2 | 3_1 # 9_2 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 9, 13], [10, 20, 11, 19], [12, 10, 13, 9], [14, 8, 15, 7], [16, 24, 17, 23], [18, 22, 19, 21], [20, 12, 21, 11], [22, 18, 23, 17], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_2 | 3_1 # m9_2 | 3_1 # m9_2 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 9, 14], [10, 19, 11, 20], [12, 9, 13, 10], [14, 7, 15, 8], [16, 23, 17, 24], [18, 21, 19, 22], [20, 11, 21, 12], [22, 17, 23, 18], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_3 | 3_1 # 9_3 | 3_1 # 9_3 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 8, 16], [9, 21, 10, 20], [11, 19, 12, 18], [13, 23, 14, 22], [15, 7, 16, 24], [17, 9, 18, 8], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_3 | 3_1 # m9_3 | 3_1 # m9_3 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 8, 17], [9, 20, 10, 21], [11, 18, 12, 19], [13, 22, 14, 23], [15, 24, 16, 7], [17, 8, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_3","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_4 | 3_1 # 9_4 | 3_1 # 9_4 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 20, 9, 19], [10, 18, 11, 17], [12, 22, 13, 21], [14, 24, 15, 23], [16, 12, 17, 11], [18, 10, 19, 9], [20, 8, 21, 7], [22, 14, 23, 13], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_4 | 3_1 # m9_4 | 3_1 # m9_4 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 9, 20], [10, 17, 11, 18], [12, 21, 13, 22], [14, 23, 15, 24], [16, 11, 17, 12], [18, 9, 19, 10], [20, 7, 21, 8], [22, 13, 23, 14], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_5 | 3_1 # 9_5 | 3_1 # 9_5 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 20, 9, 19], [10, 18, 11, 17], [12, 22, 13, 21], [14, 24, 15, 23], [16, 12, 17, 11], [18, 10, 19, 9], [20, 8, 21, 7], [22, 16, 23, 15], [24, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_5 | 3_1 # m9_5 | 3_1 # m9_5 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 9, 20], [10, 17, 11, 18], [12, 21, 13, 22], [14, 23, 15, 24], [16, 11, 17, 12], [18, 9, 19, 10], [20, 7, 21, 8], [22, 15, 23, 16], [24, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_6 | 3_1 # 9_6 | 3_1 # 9_6 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 8, 18], [9, 13, 10, 12], [11, 21, 12, 20], [13, 9, 14, 8], [15, 23, 16, 22], [17, 7, 18, 24], [19, 11, 20, 10], [21, 15, 22, 14], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_6 | 3_1 # m9_6 | 3_1 # m9_6 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 8, 19], [9, 12, 10, 13], [11, 20, 12, 21], [13, 8, 14, 9], [15, 22, 16, 23], [17, 24, 18, 7], [19, 10, 20, 11], [21, 14, 22, 15], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_7 | 3_1 # 9_7 | 3_1 # 9_7 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 18, 11, 17], [12, 22, 13, 21], [14, 12, 15, 11], [16, 10, 17, 9], [18, 8, 19, 7], [20, 24, 21, 23], [22, 14, 23, 13], [24, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_7 | 3_1 # m9_7 | 3_1 # m9_7 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 17, 11, 18], [12, 21, 13, 22], [14, 11, 15, 12], [16, 9, 17, 10], [18, 7, 19, 8], [20, 23, 21, 24], [22, 13, 23, 14], [24, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_8 | 3_1 # 9_8 | 3_1 # 9_8 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 22, 8, 23], [9, 20, 10, 21], [11, 17, 12, 16], [13, 7, 14, 24], [15, 19, 16, 18], [17, 13, 18, 12], [19, 10, 20, 11], [21, 8, 22, 9], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_8 | 3_1 # m9_8 | 3_1 # m9_8 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 23, 8, 22], [9, 21, 10, 20], [11, 16, 12, 17], [13, 24, 14, 7], [15, 18, 16, 19], [17, 12, 18, 13], [19, 11, 20, 10], [21, 9, 22, 8], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_9 | 3_1 # 9_9 | 3_1 # 9_9 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 8, 18], [9, 15, 10, 14], [11, 21, 12, 20], [13, 23, 14, 22], [15, 9, 16, 8], [17, 7, 18, 24], [19, 11, 20, 10], [21, 13, 22, 12], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_9 | 3_1 # m9_9 | 3_1 # m9_9 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 8, 19], [9, 14, 10, 15], [11, 20, 12, 21], [13, 22, 14, 23], [15, 8, 16, 9], [17, 24, 18, 7], [19, 10, 20, 11], [21, 12, 22, 13], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_9","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_10 | 3_1 # 9_10 | 3_1 # 9_10 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 8, 18], [9, 17, 10, 16], [11, 23, 12, 22], [13, 21, 14, 20], [15, 7, 16, 24], [17, 9, 18, 8], [19, 11, 20, 10], [21, 13, 22, 12], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_10 | 3_1 # m9_10 | 3_1 # m9_10 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 8, 19], [9, 16, 10, 17], [11, 22, 12, 23], [13, 20, 14, 21], [15, 24, 16, 7], [17, 8, 18, 9], [19, 10, 20, 11], [21, 12, 22, 13], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_11 | 3_1 # 9_11 | 3_1 # 9_11 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 9, 14], [10, 19, 11, 20], [12, 21, 13, 22], [14, 18, 15, 17], [16, 23, 17, 24], [18, 9, 19, 10], [20, 11, 21, 12], [22, 8, 23, 7], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_11 | 3_1 # m9_11 | 3_1 # m9_11 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 9, 13], [10, 20, 11, 19], [12, 22, 13, 21], [14, 17, 15, 18], [16, 24, 17, 23], [18, 10, 19, 9], [20, 12, 21, 11], [22, 7, 23, 8], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_12 | 3_1 # 9_12 | 3_1 # 9_12 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 22, 11, 21], [12, 20, 13, 19], [14, 9, 15, 10], [16, 24, 17, 23], [18, 14, 19, 13], [20, 12, 21, 11], [22, 8, 23, 7], [24, 18, 7, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_12 | 3_1 # m9_12 | 3_1 # m9_12 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 21, 11, 22], [12, 19, 13, 20], [14, 10, 15, 9], [16, 23, 17, 24], [18, 13, 19, 14], [20, 11, 21, 12], [22, 7, 23, 8], [24, 17, 7, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_12","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_13 | 3_1 # 9_13 | 3_1 # 9_13 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 9, 17], [10, 20, 11, 19], [12, 22, 13, 21], [14, 24, 15, 23], [16, 12, 17, 11], [18, 10, 19, 9], [20, 8, 21, 7], [22, 16, 23, 15], [24, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_13 | 3_1 # m9_13 | 3_1 # m9_13 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 9, 18], [10, 19, 11, 20], [12, 21, 13, 22], [14, 23, 15, 24], [16, 11, 17, 12], [18, 9, 19, 10], [20, 7, 21, 8], [22, 15, 23, 16], [24, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_14 | 3_1 # 9_14 | 3_1 # 9_14 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 8, 19], [9, 16, 10, 17], [11, 22, 12, 23], [13, 7, 14, 24], [15, 10, 16, 11], [17, 8, 18, 9], [19, 15, 20, 14], [21, 12, 22, 13], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_14 | 3_1 # m9_14 | 3_1 # m9_14 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 8, 18], [9, 17, 10, 16], [11, 23, 12, 22], [13, 24, 14, 7], [15, 11, 16, 10], [17, 9, 18, 8], [19, 14, 20, 15], [21, 13, 22, 12], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_15 | 3_1 # 9_15 | 3_1 # 9_15 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 13, 11, 14], [12, 21, 13, 22], [14, 9, 15, 10], [16, 20, 17, 19], [18, 23, 19, 24], [20, 11, 21, 12], [22, 8, 23, 7], [24, 17, 7, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_15 | 3_1 # m9_15 | 3_1 # m9_15 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 14, 11, 13], [12, 22, 13, 21], [14, 10, 15, 9], [16, 19, 17, 20], [18, 24, 19, 23], [20, 12, 21, 11], [22, 7, 23, 8], [24, 18, 7, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_16 | 3_1 # 9_16 | 3_1 # 9_16 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 8, 14], [9, 17, 10, 16], [11, 21, 12, 20], [13, 11, 14, 10], [15, 9, 16, 8], [17, 23, 18, 22], [19, 7, 20, 24], [21, 13, 22, 12], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_16 | 3_1 # m9_16 | 3_1 # m9_16 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 8, 15], [9, 16, 10, 17], [11, 20, 12, 21], [13, 10, 14, 11], [15, 8, 16, 9], [17, 22, 18, 23], [19, 24, 20, 7], [21, 12, 22, 13], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_17 | 3_1 # 9_17 | 3_1 # 9_17 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 8, 14], [9, 18, 10, 19], [11, 22, 12, 23], [13, 7, 14, 24], [15, 9, 16, 8], [17, 10, 18, 11], [19, 17, 20, 16], [21, 12, 22, 13], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_17 | 3_1 # m9_17 | 3_1 # m9_17 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 8, 15], [9, 19, 10, 18], [11, 23, 12, 22], [13, 24, 14, 7], [15, 8, 16, 9], [17, 11, 18, 10], [19, 16, 20, 17], [21, 13, 22, 12], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_17","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_18 | 3_1 # 9_18 | 3_1 # 9_18 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 9, 17], [10, 8, 11, 7], [12, 22, 13, 21], [14, 20, 15, 19], [16, 24, 17, 23], [18, 10, 19, 9], [20, 14, 21, 13], [22, 16, 23, 15], [24, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_18 | 3_1 # m9_18 | 3_1 # m9_18 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 9, 18], [10, 7, 11, 8], [12, 21, 13, 22], [14, 19, 15, 20], [16, 23, 17, 24], [18, 9, 19, 10], [20, 13, 21, 14], [22, 15, 23, 16], [24, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_18","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_19 | 3_1 # 9_19 | 3_1 # 9_19 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 20, 9, 19], [10, 17, 11, 18], [12, 10, 13, 9], [14, 23, 15, 24], [16, 11, 17, 12], [18, 14, 19, 13], [20, 8, 21, 7], [22, 15, 23, 16], [24, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_19 | 3_1 # m9_19 | 3_1 # m9_19 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 9, 20], [10, 18, 11, 17], [12, 9, 13, 10], [14, 24, 15, 23], [16, 12, 17, 11], [18, 13, 19, 14], [20, 7, 21, 8], [22, 16, 23, 15], [24, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_20 | 3_1 # 9_20 | 3_1 # 9_20 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 8, 16], [9, 22, 10, 23], [11, 19, 12, 18], [13, 9, 14, 8], [15, 7, 16, 24], [17, 21, 18, 20], [19, 13, 20, 12], [21, 10, 22, 11], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_20 | 3_1 # m9_20 | 3_1 # m9_20 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 8, 17], [9, 23, 10, 22], [11, 18, 12, 19], [13, 8, 14, 9], [15, 24, 16, 7], [17, 20, 18, 21], [19, 12, 20, 13], [21, 11, 22, 10], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_21 | 3_1 # 9_21 | 3_1 # 9_21 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 9, 14], [10, 19, 11, 20], [12, 21, 13, 22], [14, 18, 15, 17], [16, 23, 17, 24], [18, 11, 19, 12], [20, 9, 21, 10], [22, 8, 23, 7], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_21 | 3_1 # m9_21 | 3_1 # m9_21 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 9, 13], [10, 20, 11, 19], [12, 22, 13, 21], [14, 17, 15, 18], [16, 24, 17, 23], [18, 12, 19, 11], [20, 10, 21, 9], [22, 7, 23, 8], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_22 | 3_1 # 9_22 | 3_1 # 9_22 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [9, 14, 10, 15], [11, 20, 12, 21], [13, 17, 14, 16], [15, 8, 16, 9], [17, 23, 18, 22], [19, 7, 20, 24], [21, 10, 22, 11], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_22 | 3_1 # m9_22 | 3_1 # m9_22 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [9, 15, 10, 14], [11, 21, 12, 20], [13, 16, 14, 17], [15, 9, 16, 8], [17, 22, 18, 23], [19, 24, 20, 7], [21, 11, 22, 10], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_22","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_23 | 3_1 # 9_23 | 3_1 # 9_23 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 22, 9, 21], [10, 18, 11, 17], [12, 10, 13, 9], [14, 24, 15, 23], [16, 20, 17, 19], [18, 12, 19, 11], [20, 14, 21, 13], [22, 8, 23, 7], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_23 | 3_1 # m9_23 | 3_1 # m9_23 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 21, 9, 22], [10, 17, 11, 18], [12, 9, 13, 10], [14, 23, 15, 24], [16, 19, 17, 20], [18, 11, 19, 12], [20, 13, 21, 14], [22, 7, 23, 8], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_23","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_24 | 3_1 # 9_24 | 3_1 # 9_24 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 8, 18], [9, 13, 10, 12], [11, 7, 12, 24], [13, 20, 14, 21], [15, 22, 16, 23], [17, 9, 18, 8], [19, 16, 20, 17], [21, 14, 22, 15], [23, 11, 24, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_24 | 3_1 # m9_24 | 3_1 # m9_24 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 8, 19], [9, 12, 10, 13], [11, 24, 12, 7], [13, 21, 14, 20], [15, 23, 16, 22], [17, 8, 18, 9], [19, 17, 20, 16], [21, 15, 22, 14], [23, 10, 24, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_24","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_25 | 3_1 # 9_25 | 3_1 # 9_25 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 23, 11, 24], [12, 18, 13, 17], [14, 10, 15, 9], [16, 20, 17, 19], [18, 14, 19, 13], [20, 8, 21, 7], [22, 11, 23, 12], [24, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_25 | 3_1 # m9_25 | 3_1 # m9_25 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 24, 11, 23], [12, 17, 13, 18], [14, 9, 15, 10], [16, 19, 17, 20], [18, 13, 19, 14], [20, 7, 21, 8], [22, 12, 23, 11], [24, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_25","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_26 | 3_1 # 9_26 | 3_1 # 9_26 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 17, 11, 18], [12, 23, 13, 24], [14, 21, 15, 22], [16, 20, 17, 19], [18, 9, 19, 10], [20, 8, 21, 7], [22, 11, 23, 12], [24, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_26 | 3_1 # m9_26 | 3_1 # m9_26 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 18, 11, 17], [12, 24, 13, 23], [14, 22, 15, 21], [16, 19, 17, 20], [18, 10, 19, 9], [20, 7, 21, 8], [22, 12, 23, 11], [24, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_26","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_27 | 3_1 # 9_27 | 3_1 # 9_27 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 13, 11, 14], [12, 20, 13, 19], [14, 21, 15, 22], [16, 24, 17, 23], [18, 9, 19, 10], [20, 12, 21, 11], [22, 8, 23, 7], [24, 18, 7, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_27 | 3_1 # m9_27 | 3_1 # m9_27 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 14, 11, 13], [12, 19, 13, 20], [14, 22, 15, 21], [16, 23, 17, 24], [18, 10, 19, 9], [20, 11, 21, 12], [22, 7, 23, 8], [24, 17, 7, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_27","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_28 | 3_1 # 9_28 | 3_1 # 9_28 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 22, 8, 23], [9, 21, 10, 20], [11, 9, 12, 8], [13, 19, 14, 18], [15, 13, 16, 12], [17, 24, 18, 7], [19, 15, 20, 14], [21, 11, 22, 10], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_28 | 3_1 # m9_28 | 3_1 # m9_28 | None | 12 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 23, 8, 22], [9, 20, 10, 21], [11, 8, 12, 9], [13, 18, 14, 19], [15, 12, 16, 13], [17, 7, 18, 24], [19, 14, 20, 15], [21, 10, 22, 11], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_28","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 9_29 | 3_1 # 9_29 | 3_1 # 9_29 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 23, 11, 24], [12, 18, 13, 17], [14, 10, 15, 9], [16, 21, 17, 22], [18, 12, 19, 11], [20, 7, 21, 8], [22, 13, 23, 14], [24, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m9_29 | 3_1 # m9_29 | 3_1 # m9_29 | None | 12 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 24, 11, 23], [12, 17, 13, 18], [14, 9, 15, 10], [16, 22, 17, 21], [18, 11, 19, 12], [20, 8, 21, 7], [22, 14, 23, 13], [24, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"9_29","mirror":true,"reverse":false}] | false | true | reversible | [] |