6,675,982 rows · 100 per page · Row type: OrientedKnotRow
id
RowRef<OrientedKnotRow>
| knot id
KnotId = string
| name
string
| dt name
string option
| crossing number
int option
| alternating
bool
| kind
string
| component count
int
| pd code
PDCode = int list list
| pd source
string
| source record
string
| amphichiral
bool option
| reversible
bool option
| symmetry type
string option
| possible duplicates
KnotId list
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| m3_1 # 9_24 | m3_1 # 9_24 | m3_1 # 9_24 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_24","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_24 | m3_1 # m9_24 | m3_1 # m9_24 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_24","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_25 | m3_1 # 9_25 | m3_1 # 9_25 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_25","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_25 | m3_1 # m9_25 | m3_1 # m9_25 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_25","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_26 | m3_1 # 9_26 | m3_1 # 9_26 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_26","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_26 | m3_1 # m9_26 | m3_1 # m9_26 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_26","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_27 | m3_1 # 9_27 | m3_1 # 9_27 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_27","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_27 | m3_1 # m9_27 | m3_1 # m9_27 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_27","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_28 | m3_1 # 9_28 | m3_1 # 9_28 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_28","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_28 | m3_1 # m9_28 | m3_1 # m9_28 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_28","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_29 | m3_1 # 9_29 | m3_1 # 9_29 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_29","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_29 | m3_1 # m9_29 | m3_1 # m9_29 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [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":true,"reverse":false},{"knot_id":"9_29","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_30 | m3_1 # 9_30 | m3_1 # 9_30 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 22, 10, 23], [11, 7, 12, 24], [13, 18, 14, 19], [15, 9, 16, 8], [17, 12, 18, 13], [19, 16, 20, 17], [21, 10, 22, 11], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_30","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_30 | m3_1 # m9_30 | m3_1 # m9_30 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 23, 10, 22], [11, 24, 12, 7], [13, 19, 14, 18], [15, 8, 16, 9], [17, 13, 18, 12], [19, 17, 20, 16], [21, 11, 22, 10], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_30","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_31 | m3_1 # 9_31 | m3_1 # 9_31 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 16, 10, 17], [11, 19, 12, 18], [13, 7, 14, 24], [15, 22, 16, 23], [17, 21, 18, 20], [19, 13, 20, 12], [21, 10, 22, 11], [23, 9, 24, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_31","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_31 | m3_1 # m9_31 | m3_1 # m9_31 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 17, 10, 16], [11, 18, 12, 19], [13, 24, 14, 7], [15, 23, 16, 22], [17, 20, 18, 21], [19, 12, 20, 13], [21, 11, 22, 10], [23, 8, 24, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_31","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_32 | m3_1 # 9_32 | m3_1 # 9_32 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 15, 11, 16], [12, 19, 13, 20], [14, 22, 15, 21], [16, 11, 17, 12], [18, 23, 19, 24], [20, 9, 21, 10], [22, 8, 23, 7], [24, 17, 7, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m3_1 # r9_32 | m3_1 # r9_32 | m3_1 # r9_32 | None | 12 | true | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 14], [11, 16, 10, 15], [13, 20, 12, 19], [15, 21, 14, 22], [17, 12, 16, 11], [19, 24, 18, 23], [21, 10, 20, 9], [23, 7, 22, 8], [7, 18, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m9_32 | m3_1 # m9_32 | m3_1 # m9_32 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 16, 11, 15], [12, 20, 13, 19], [14, 21, 15, 22], [16, 12, 17, 11], [18, 24, 19, 23], [20, 10, 21, 9], [22, 7, 23, 8], [24, 18, 7, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr9_32 | m3_1 # mr9_32 | m3_1 # mr9_32 | None | 12 | true | composite | 1 | [[9, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 13], [11, 15, 10, 16], [13, 19, 12, 20], [15, 22, 14, 21], [17, 11, 16, 12], [19, 23, 18, 24], [21, 9, 20, 10], [23, 8, 22, 7], [7, 17, 24, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 9_33 | m3_1 # 9_33 | m3_1 # 9_33 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 22, 10, 23], [11, 18, 12, 19], [13, 11, 14, 10], [15, 8, 16, 9], [17, 12, 18, 13], [19, 7, 20, 24], [21, 17, 22, 16], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m3_1 # r9_33 | m3_1 # r9_33 | m3_1 # r9_33 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 7, 21], [10, 23, 9, 22], [12, 19, 11, 18], [14, 10, 13, 11], [16, 9, 15, 8], [18, 13, 17, 12], [20, 24, 19, 7], [22, 16, 21, 17], [24, 15, 23, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m9_33 | m3_1 # m9_33 | m3_1 # m9_33 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 23, 10, 22], [11, 19, 12, 18], [13, 10, 14, 11], [15, 9, 16, 8], [17, 13, 18, 12], [19, 24, 20, 7], [21, 16, 22, 17], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr9_33 | m3_1 # mr9_33 | m3_1 # mr9_33 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 7, 20], [10, 22, 9, 23], [12, 18, 11, 19], [14, 11, 13, 10], [16, 8, 15, 9], [18, 12, 17, 13], [20, 7, 19, 24], [22, 17, 21, 16], [24, 14, 23, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 9_34 | m3_1 # 9_34 | m3_1 # 9_34 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 23, 11, 24], [12, 22, 13, 21], [14, 10, 15, 9], [16, 11, 17, 12], [18, 14, 19, 13], [20, 7, 21, 8], [22, 17, 23, 18], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_34","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_34 | m3_1 # m9_34 | m3_1 # m9_34 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 24, 11, 23], [12, 21, 13, 22], [14, 9, 15, 10], [16, 12, 17, 11], [18, 13, 19, 14], [20, 8, 21, 7], [22, 18, 23, 17], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_34","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_35 | m3_1 # 9_35 | m3_1 # 9_35 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 22, 11, 21], [12, 20, 13, 19], [14, 24, 15, 23], [16, 10, 17, 9], [18, 8, 19, 7], [20, 12, 21, 11], [22, 16, 23, 15], [24, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_35","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_35 | m3_1 # m9_35 | m3_1 # m9_35 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 21, 11, 22], [12, 19, 13, 20], [14, 23, 15, 24], [16, 9, 17, 10], [18, 7, 19, 8], [20, 11, 21, 12], [22, 15, 23, 16], [24, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_35","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_36 | m3_1 # 9_36 | m3_1 # 9_36 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 17, 11, 18], [12, 10, 13, 9], [14, 23, 15, 24], [16, 11, 17, 12], [18, 16, 19, 15], [20, 7, 21, 8], [22, 13, 23, 14], [24, 19, 7, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_36","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_36 | m3_1 # m9_36 | m3_1 # m9_36 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 18, 11, 17], [12, 9, 13, 10], [14, 24, 15, 23], [16, 12, 17, 11], [18, 15, 19, 16], [20, 8, 21, 7], [22, 14, 23, 13], [24, 20, 7, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_36","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_37 | m3_1 # 9_37 | m3_1 # 9_37 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 20, 10, 21], [11, 7, 12, 24], [13, 23, 14, 22], [15, 8, 16, 9], [17, 15, 18, 14], [19, 10, 20, 11], [21, 19, 22, 18], [23, 13, 24, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_37","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_37 | m3_1 # m9_37 | m3_1 # m9_37 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 21, 10, 20], [11, 24, 12, 7], [13, 22, 14, 23], [15, 9, 16, 8], [17, 14, 18, 15], [19, 11, 20, 10], [21, 18, 22, 19], [23, 12, 24, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_37","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_38 | m3_1 # 9_38 | m3_1 # 9_38 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 16, 11, 15], [12, 22, 13, 21], [14, 10, 15, 9], [16, 24, 17, 23], [18, 12, 19, 11], [20, 8, 21, 7], [22, 18, 23, 17], [24, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_38","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_38 | m3_1 # m9_38 | m3_1 # m9_38 | None | 12 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 15, 11, 16], [12, 21, 13, 22], [14, 9, 15, 10], [16, 23, 17, 24], [18, 11, 19, 12], [20, 7, 21, 8], [22, 17, 23, 18], [24, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_38","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_39 | m3_1 # 9_39 | m3_1 # 9_39 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [9, 23, 10, 22], [11, 16, 12, 17], [13, 24, 14, 7], [15, 20, 16, 21], [17, 8, 18, 9], [19, 12, 20, 13], [21, 11, 22, 10], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_39","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_39 | m3_1 # m9_39 | m3_1 # m9_39 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [9, 22, 10, 23], [11, 17, 12, 16], [13, 7, 14, 24], [15, 21, 16, 20], [17, 9, 18, 8], [19, 13, 20, 12], [21, 10, 22, 11], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_39","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_40 | m3_1 # 9_40 | m3_1 # 9_40 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 18, 10, 19], [11, 17, 12, 16], [13, 9, 14, 8], [15, 24, 16, 7], [17, 23, 18, 22], [19, 15, 20, 14], [21, 12, 22, 13], [23, 11, 24, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_40","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_40 | m3_1 # m9_40 | m3_1 # m9_40 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 19, 10, 18], [11, 16, 12, 17], [13, 8, 14, 9], [15, 7, 16, 24], [17, 22, 18, 23], [19, 14, 20, 15], [21, 13, 22, 12], [23, 10, 24, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_40","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_41 | m3_1 # 9_41 | m3_1 # 9_41 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 18, 10, 19], [11, 22, 12, 23], [13, 9, 14, 8], [15, 24, 16, 7], [17, 10, 18, 11], [19, 15, 20, 14], [21, 12, 22, 13], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_41","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_41 | m3_1 # m9_41 | m3_1 # m9_41 | None | 12 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 19, 10, 18], [11, 23, 12, 22], [13, 8, 14, 9], [15, 7, 16, 24], [17, 11, 18, 10], [19, 14, 20, 15], [21, 13, 22, 12], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_41","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_42 | m3_1 # 9_42 | m3_1 # 9_42 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [11, 17, 12, 16], [9, 14, 10, 15], [15, 8, 16, 9], [22, 17, 23, 18], [20, 14, 21, 13], [12, 22, 13, 21], [24, 19, 7, 20], [18, 23, 19, 24]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_42","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_42 | m3_1 # m9_42 | m3_1 # m9_42 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [11, 16, 12, 17], [9, 15, 10, 14], [15, 9, 16, 8], [22, 18, 23, 17], [20, 13, 21, 14], [12, 21, 13, 22], [24, 20, 7, 19], [18, 24, 19, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_42","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_43 | m3_1 # 9_43 | m3_1 # 9_43 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 22, 10, 23], [11, 7, 12, 24], [12, 18, 13, 17], [15, 9, 16, 8], [16, 20, 17, 19], [18, 14, 19, 13], [21, 10, 22, 11], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_43","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_43 | m3_1 # m9_43 | m3_1 # m9_43 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 23, 10, 22], [11, 24, 12, 7], [12, 17, 13, 18], [15, 8, 16, 9], [16, 19, 17, 20], [18, 13, 19, 14], [21, 11, 22, 10], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_43","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_44 | m3_1 # 9_44 | m3_1 # 9_44 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [9, 22, 10, 23], [11, 7, 12, 24], [12, 18, 13, 17], [14, 7, 15, 8], [16, 20, 17, 19], [18, 14, 19, 13], [21, 10, 22, 11], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_44","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_44 | m3_1 # m9_44 | m3_1 # m9_44 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [9, 23, 10, 22], [11, 24, 12, 7], [12, 17, 13, 18], [14, 8, 15, 7], [16, 19, 17, 20], [18, 13, 19, 14], [21, 11, 22, 10], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_44","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_45 | m3_1 # 9_45 | m3_1 # 9_45 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [9, 22, 10, 23], [11, 7, 12, 24], [13, 18, 14, 19], [14, 7, 15, 8], [17, 12, 18, 13], [19, 16, 20, 17], [21, 10, 22, 11], [23, 21, 24, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_45","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_45 | m3_1 # m9_45 | m3_1 # m9_45 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [9, 23, 10, 22], [11, 24, 12, 7], [13, 19, 14, 18], [14, 8, 15, 7], [17, 13, 18, 12], [19, 17, 20, 16], [21, 11, 22, 10], [23, 20, 24, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_45","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_46 | m3_1 # 9_46 | m3_1 # 9_46 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [9, 20, 10, 21], [12, 23, 13, 24], [14, 17, 15, 18], [16, 8, 17, 7], [19, 10, 20, 11], [21, 19, 22, 18], [22, 13, 23, 14], [24, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_46","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_46 | m3_1 # m9_46 | m3_1 # m9_46 | None | None | false | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [9, 21, 10, 20], [12, 24, 13, 23], [14, 18, 15, 17], [16, 7, 17, 8], [19, 11, 20, 10], [21, 18, 22, 19], [22, 14, 23, 13], [24, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_46","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_47 | m3_1 # 9_47 | m3_1 # 9_47 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [10, 23, 11, 24], [12, 22, 13, 21], [14, 10, 15, 9], [16, 11, 17, 12], [18, 14, 19, 13], [19, 9, 20, 8], [22, 17, 23, 18], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_47","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_47 | m3_1 # m9_47 | m3_1 # m9_47 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [10, 24, 11, 23], [12, 21, 13, 22], [14, 9, 15, 10], [16, 12, 17, 11], [18, 13, 19, 14], [19, 8, 20, 9], [22, 18, 23, 17], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_47","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_48 | m3_1 # 9_48 | m3_1 # 9_48 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 20, 10, 21], [12, 23, 13, 24], [15, 8, 16, 9], [17, 15, 18, 14], [19, 10, 20, 11], [21, 19, 22, 18], [22, 13, 23, 14], [24, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_48","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_48 | m3_1 # m9_48 | m3_1 # m9_48 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 21, 10, 20], [12, 24, 13, 23], [15, 9, 16, 8], [17, 14, 18, 15], [19, 11, 20, 10], [21, 18, 22, 19], [22, 14, 23, 13], [24, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_48","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 9_49 | m3_1 # 9_49 | m3_1 # 9_49 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [10, 18, 11, 17], [12, 22, 13, 21], [13, 9, 14, 8], [16, 24, 17, 23], [18, 10, 19, 9], [19, 15, 20, 14], [22, 12, 23, 11], [24, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_49","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m9_49 | m3_1 # m9_49 | m3_1 # m9_49 | None | None | false | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [10, 17, 11, 18], [12, 21, 13, 22], [13, 8, 14, 9], [16, 23, 17, 24], [18, 9, 19, 10], [19, 14, 20, 15], [22, 11, 23, 12], [24, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"9_49","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 # 4_1 | 4_1 # 4_1 # 4_1 | 4_1 # 4_1 # 4_1 | None | 12 | true | composite | 1 | [[20, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16], [12, 18, 21, 17], [24, 22, 17, 21], [22, 19, 23, 20], [18, 23, 19, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 4_1 # 8_1 | 4_1 # 8_1 | 4_1 # 8_1 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 15, 12, 14], [13, 20, 14, 21], [15, 11, 16, 10], [17, 9, 18, 24], [19, 23, 20, 22], [21, 12, 22, 13], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_1 | 4_1 # m8_1 | 4_1 # m8_1 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 14, 12, 15], [13, 21, 14, 20], [15, 10, 16, 11], [17, 24, 18, 9], [19, 22, 20, 23], [21, 13, 22, 12], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_2 | 4_1 # 8_2 | 4_1 # 8_2 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 21, 12, 20], [13, 23, 14, 22], [15, 9, 16, 24], [17, 10, 18, 11], [19, 17, 20, 16], [21, 13, 22, 12], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_2 | 4_1 # m8_2 | 4_1 # m8_2 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 20, 12, 21], [13, 22, 14, 23], [15, 24, 16, 9], [17, 11, 18, 10], [19, 16, 20, 17], [21, 12, 22, 13], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_3 | 4_1 # 8_3 | 4_1 # 8_3 | None | 12 | true | composite | 1 | [[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [22, 18, 23, 17], [18, 13, 19, 14], [20, 11, 21, 12], [12, 19, 13, 20], [10, 21, 11, 22], [24, 16, 9, 15], [16, 24, 17, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 4_1 # 8_4 | 4_1 # 8_4 | 4_1 # 8_4 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 17, 13, 18], [14, 24, 15, 23], [16, 22, 17, 21], [18, 9, 19, 10], [20, 11, 21, 12], [22, 16, 23, 15], [24, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_4 | 4_1 # m8_4 | 4_1 # m8_4 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 18, 13, 17], [14, 23, 15, 24], [16, 21, 17, 22], [18, 10, 19, 9], [20, 12, 21, 11], [22, 15, 23, 16], [24, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_5 | 4_1 # 8_5 | 4_1 # 8_5 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 17, 12, 16], [13, 20, 14, 21], [15, 11, 16, 10], [17, 23, 18, 22], [19, 9, 20, 24], [21, 12, 22, 13], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_5 | 4_1 # m8_5 | 4_1 # m8_5 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 16, 12, 17], [13, 21, 14, 20], [15, 10, 16, 11], [17, 22, 18, 23], [19, 24, 20, 9], [21, 13, 22, 12], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_6 | 4_1 # 8_6 | 4_1 # 8_6 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 22, 13, 21], [14, 24, 15, 23], [16, 20, 17, 19], [18, 9, 19, 10], [20, 16, 21, 15], [22, 14, 23, 13], [24, 12, 9, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_6 | 4_1 # m8_6 | 4_1 # m8_6 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 21, 13, 22], [14, 23, 15, 24], [16, 19, 17, 20], [18, 10, 19, 9], [20, 15, 21, 16], [22, 13, 23, 14], [24, 11, 9, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_7 | 4_1 # 8_7 | 4_1 # 8_7 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [12, 22, 13, 21], [14, 23, 15, 24], [16, 9, 17, 10], [18, 13, 19, 14], [20, 12, 21, 11], [22, 20, 23, 19], [24, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_7 | 4_1 # m8_7 | 4_1 # m8_7 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [12, 21, 13, 22], [14, 24, 15, 23], [16, 10, 17, 9], [18, 14, 19, 13], [20, 11, 21, 12], [22, 19, 23, 20], [24, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_8 | 4_1 # 8_8 | 4_1 # 8_8 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 20, 12, 21], [13, 17, 14, 16], [15, 11, 16, 10], [17, 24, 18, 9], [19, 22, 20, 23], [21, 12, 22, 13], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_8 | 4_1 # m8_8 | 4_1 # m8_8 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 21, 12, 20], [13, 16, 14, 17], [15, 10, 16, 11], [17, 9, 18, 24], [19, 23, 20, 22], [21, 13, 22, 12], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_9 | 4_1 # 8_9 | 4_1 # 8_9 | None | 12 | true | composite | 1 | [[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [22, 16, 23, 15], [18, 11, 19, 12], [10, 21, 11, 22], [20, 13, 21, 14], [12, 19, 13, 20], [24, 18, 9, 17], [16, 24, 17, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 4_1 # 8_10 | 4_1 # 8_10 | 4_1 # 8_10 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 17, 13, 18], [14, 19, 15, 20], [16, 23, 17, 24], [18, 13, 19, 14], [20, 10, 21, 9], [22, 15, 23, 16], [24, 12, 9, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_10 | 4_1 # m8_10 | 4_1 # m8_10 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 18, 13, 17], [14, 20, 15, 19], [16, 24, 17, 23], [18, 14, 19, 13], [20, 9, 21, 10], [22, 16, 23, 15], [24, 11, 9, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_11 | 4_1 # 8_11 | 4_1 # 8_11 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 21, 12, 20], [13, 23, 14, 22], [15, 9, 16, 24], [17, 10, 18, 11], [19, 17, 20, 16], [21, 15, 22, 14], [23, 13, 24, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_11 | 4_1 # m8_11 | 4_1 # m8_11 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 20, 12, 21], [13, 22, 14, 23], [15, 24, 16, 9], [17, 11, 18, 10], [19, 16, 20, 17], [21, 14, 22, 15], [23, 12, 24, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_12 | 4_1 # 8_12 | 4_1 # 8_12 | None | 12 | true | composite | 1 | [[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [18, 16, 19, 15], [16, 11, 17, 12], [10, 17, 11, 18], [22, 14, 23, 13], [24, 19, 9, 20], [20, 23, 21, 24], [14, 22, 15, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 4_1 # 8_13 | 4_1 # 8_13 | 4_1 # 8_13 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 22, 12, 23], [13, 20, 14, 21], [15, 19, 16, 18], [17, 11, 18, 10], [19, 24, 20, 9], [21, 12, 22, 13], [23, 14, 24, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_13 | 4_1 # m8_13 | 4_1 # m8_13 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 23, 12, 22], [13, 21, 14, 20], [15, 18, 16, 19], [17, 10, 18, 11], [19, 9, 20, 24], [21, 13, 22, 12], [23, 15, 24, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_14 | 4_1 # 8_14 | 4_1 # 8_14 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 16, 13, 15], [14, 23, 15, 24], [16, 22, 17, 21], [18, 10, 19, 9], [20, 18, 21, 17], [22, 12, 23, 11], [24, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_14 | 4_1 # m8_14 | 4_1 # m8_14 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 15, 13, 16], [14, 24, 15, 23], [16, 21, 17, 22], [18, 9, 19, 10], [20, 17, 21, 18], [22, 11, 23, 12], [24, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_15 | 4_1 # 8_15 | 4_1 # 8_15 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [11, 23, 12, 22], [13, 17, 14, 16], [15, 11, 16, 10], [17, 21, 18, 20], [19, 9, 20, 24], [21, 13, 22, 12], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_15 | 4_1 # m8_15 | 4_1 # m8_15 | None | 12 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [11, 22, 12, 23], [13, 16, 14, 17], [15, 10, 16, 11], [17, 20, 18, 21], [19, 24, 20, 9], [21, 12, 22, 13], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_16 | 4_1 # 8_16 | 4_1 # 8_16 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 18, 13, 17], [14, 9, 15, 10], [16, 22, 17, 21], [18, 23, 19, 24], [20, 14, 21, 13], [22, 11, 23, 12], [24, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_16 | 4_1 # m8_16 | 4_1 # m8_16 | None | 12 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 17, 13, 18], [14, 10, 15, 9], [16, 21, 17, 22], [18, 24, 19, 23], [20, 13, 21, 14], [22, 12, 23, 11], [24, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_17 | 4_1 # 8_17 | 4_1 # 8_17 | None | 12 | true | composite | 1 | [[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [22, 16, 23, 15], [16, 11, 17, 12], [10, 21, 11, 22], [20, 13, 21, 14], [12, 17, 13, 18], [24, 20, 9, 19], [18, 24, 19, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}] | true | false | negative amphicheiral | [] |
| 4_1 # r8_17 | 4_1 # r8_17 | 4_1 # r8_17 | None | 12 | true | composite | 1 | [[15, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 9, 14, 10], [23, 15, 22, 16], [17, 12, 16, 11], [11, 22, 10, 21], [21, 14, 20, 13], [13, 18, 12, 17], [9, 19, 24, 20], [19, 23, 18, 24]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}] | true | false | negative amphicheiral | [] |
| 4_1 # 8_18 | 4_1 # 8_18 | 4_1 # 8_18 | None | 12 | true | composite | 1 | [[14, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 15, 9], [16, 11, 17, 12], [24, 19, 9, 20], [10, 22, 11, 21], [12, 23, 13, 24], [18, 14, 19, 13], [20, 15, 21, 16], [22, 18, 23, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 4_1 # 8_19 | 4_1 # 8_19 | 4_1 # 8_19 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [13, 19, 14, 18], [15, 23, 16, 22], [17, 13, 18, 12], [19, 15, 20, 14], [20, 10, 21, 9], [23, 17, 24, 16], [24, 12, 9, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_19 | 4_1 # m8_19 | 4_1 # m8_19 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [13, 18, 14, 19], [15, 22, 16, 23], [17, 12, 18, 13], [19, 14, 20, 15], [20, 9, 21, 10], [23, 16, 24, 17], [24, 11, 9, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_20 | 4_1 # 8_20 | 4_1 # 8_20 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 21, 13, 22], [13, 17, 14, 16], [15, 11, 16, 10], [18, 23, 19, 24], [20, 17, 21, 18], [22, 11, 23, 12], [24, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_20 | 4_1 # m8_20 | 4_1 # m8_20 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 22, 13, 21], [13, 16, 14, 17], [15, 10, 16, 11], [18, 24, 19, 23], [20, 18, 21, 17], [22, 12, 23, 11], [24, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 8_21 | 4_1 # 8_21 | 4_1 # 8_21 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 14], [12, 21, 13, 22], [13, 17, 14, 16], [15, 11, 16, 10], [17, 21, 18, 20], [19, 9, 20, 24], [22, 11, 23, 12], [23, 19, 24, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m8_21 | 4_1 # m8_21 | 4_1 # m8_21 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 14, 10, 15], [12, 22, 13, 21], [13, 16, 14, 17], [15, 10, 16, 11], [17, 20, 18, 21], [19, 24, 20, 9], [22, 12, 23, 11], [23, 18, 24, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 7_1 | 5_1 # 7_1 | 5_1 # 7_1 | None | 12 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 21, 14, 20], [15, 23, 16, 22], [17, 11, 18, 24], [19, 13, 20, 12], [21, 15, 22, 14], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m7_1 | 5_1 # m7_1 | 5_1 # m7_1 | None | 12 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 12, 19], [13, 20, 14, 21], [15, 22, 16, 23], [17, 24, 18, 11], [19, 12, 20, 13], [21, 14, 22, 15], [23, 16, 24, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 7_2 | 5_1 # 7_2 | 5_1 # 7_2 | None | 12 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 13, 19], [14, 24, 15, 23], [16, 22, 17, 21], [18, 12, 19, 11], [20, 18, 21, 17], [22, 16, 23, 15], [24, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m7_2 | 5_1 # m7_2 | 5_1 # m7_2 | None | 12 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 13, 20], [14, 23, 15, 24], [16, 21, 17, 22], [18, 11, 19, 12], [20, 17, 21, 18], [22, 15, 23, 16], [24, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 7_3 | 5_1 # 7_3 | 5_1 # 7_3 | None | 12 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 19, 12, 18], [13, 21, 14, 20], [15, 11, 16, 24], [17, 23, 18, 22], [19, 13, 20, 12], [21, 15, 22, 14], [23, 17, 24, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}] | false | true | reversible | [] |