6,675,982 rows · 100 per page · Row type: OrientedKnotRow
id
RowRef<OrientedKnotRow>
| knot id
KnotId = string
| name
string
| dt name
string option
| crossing number
int option
| alternating
bool
| kind
string
| component count
int
| pd code
PDCode = int list list
| pd source
string
| source record
string
| amphichiral
bool option
| reversible
bool option
| symmetry type
string option
| possible duplicates
KnotId list
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 4_1 # m9_30 | 4_1 # m9_30 | 4_1 # m9_30 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 26, 14, 9], [15, 21, 16, 20], [17, 10, 18, 11], [19, 15, 20, 14], [21, 19, 22, 18], [23, 13, 24, 12], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_30","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_31 | 4_1 # 9_31 | 4_1 # 9_31 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 18, 12, 19], [13, 21, 14, 20], [15, 9, 16, 26], [17, 24, 18, 25], [19, 23, 20, 22], [21, 15, 22, 14], [23, 12, 24, 13], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_31","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_31 | 4_1 # m9_31 | 4_1 # m9_31 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 19, 12, 18], [13, 20, 14, 21], [15, 26, 16, 9], [17, 25, 18, 24], [19, 22, 20, 23], [21, 14, 22, 15], [23, 13, 24, 12], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_31","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_32 | 4_1 # 9_32 | 4_1 # 9_32 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 17, 13, 18], [14, 21, 15, 22], [16, 24, 17, 23], [18, 13, 19, 14], [20, 25, 21, 26], [22, 11, 23, 12], [24, 10, 25, 9], [26, 19, 9, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 4_1 # r9_32 | 4_1 # r9_32 | 4_1 # r9_32 | None | 13 | true | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 10, 16], [13, 18, 12, 17], [15, 22, 14, 21], [17, 23, 16, 24], [19, 14, 18, 13], [21, 26, 20, 25], [23, 12, 22, 11], [25, 9, 24, 10], [9, 20, 26, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 4_1 # m9_32 | 4_1 # m9_32 | 4_1 # m9_32 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 18, 13, 17], [14, 22, 15, 21], [16, 23, 17, 24], [18, 14, 19, 13], [20, 26, 21, 25], [22, 12, 23, 11], [24, 9, 25, 10], [26, 20, 9, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 4_1 # mr9_32 | 4_1 # mr9_32 | 4_1 # mr9_32 | None | 13 | true | composite | 1 | [[11, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 15], [13, 17, 12, 18], [15, 21, 14, 22], [17, 24, 16, 23], [19, 13, 18, 14], [21, 25, 20, 26], [23, 11, 22, 12], [25, 10, 24, 9], [9, 19, 26, 20]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_32","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 4_1 # 9_33 | 4_1 # 9_33 | 4_1 # 9_33 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 24, 12, 25], [13, 20, 14, 21], [15, 13, 16, 12], [17, 10, 18, 11], [19, 14, 20, 15], [21, 9, 22, 26], [23, 19, 24, 18], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 4_1 # r9_33 | 4_1 # r9_33 | 4_1 # r9_33 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 9, 23], [12, 25, 11, 24], [14, 21, 13, 20], [16, 12, 15, 13], [18, 11, 17, 10], [20, 15, 19, 14], [22, 26, 21, 9], [24, 18, 23, 19], [26, 17, 25, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 4_1 # m9_33 | 4_1 # m9_33 | 4_1 # m9_33 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 25, 12, 24], [13, 21, 14, 20], [15, 12, 16, 13], [17, 11, 18, 10], [19, 15, 20, 14], [21, 26, 22, 9], [23, 18, 24, 19], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":false}] | false | false | chiral | [] |
| 4_1 # mr9_33 | 4_1 # mr9_33 | 4_1 # mr9_33 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 9, 22], [12, 24, 11, 25], [14, 20, 13, 21], [16, 13, 15, 12], [18, 10, 17, 11], [20, 14, 19, 15], [22, 9, 21, 26], [24, 19, 23, 18], [26, 16, 25, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_33","mirror":true,"reverse":true}] | false | false | chiral | [] |
| 4_1 # 9_34 | 4_1 # 9_34 | 4_1 # 9_34 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 25, 13, 26], [14, 24, 15, 23], [16, 12, 17, 11], [18, 13, 19, 14], [20, 16, 21, 15], [22, 9, 23, 10], [24, 19, 25, 20], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_34","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_34 | 4_1 # m9_34 | 4_1 # m9_34 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 26, 13, 25], [14, 23, 15, 24], [16, 11, 17, 12], [18, 14, 19, 13], [20, 15, 21, 16], [22, 10, 23, 9], [24, 20, 25, 19], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_34","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_35 | 4_1 # 9_35 | 4_1 # 9_35 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 11, 19], [12, 24, 13, 23], [14, 22, 15, 21], [16, 26, 17, 25], [18, 12, 19, 11], [20, 10, 21, 9], [22, 14, 23, 13], [24, 18, 25, 17], [26, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_35","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_35 | 4_1 # m9_35 | 4_1 # m9_35 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 11, 20], [12, 23, 13, 24], [14, 21, 15, 22], [16, 25, 17, 26], [18, 11, 19, 12], [20, 9, 21, 10], [22, 13, 23, 14], [24, 17, 25, 18], [26, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_35","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_36 | 4_1 # 9_36 | 4_1 # 9_36 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 11, 24], [12, 19, 13, 20], [14, 12, 15, 11], [16, 25, 17, 26], [18, 13, 19, 14], [20, 18, 21, 17], [22, 9, 23, 10], [24, 15, 25, 16], [26, 21, 9, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_36","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_36 | 4_1 # m9_36 | 4_1 # m9_36 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 24, 11, 23], [12, 20, 13, 19], [14, 11, 15, 12], [16, 26, 17, 25], [18, 14, 19, 13], [20, 17, 21, 18], [22, 10, 23, 9], [24, 16, 25, 15], [26, 22, 9, 21]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_36","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_37 | 4_1 # 9_37 | 4_1 # 9_37 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 22, 12, 23], [13, 9, 14, 26], [15, 25, 16, 24], [17, 10, 18, 11], [19, 17, 20, 16], [21, 12, 22, 13], [23, 21, 24, 20], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_37","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_37 | 4_1 # m9_37 | 4_1 # m9_37 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 23, 12, 22], [13, 26, 14, 9], [15, 24, 16, 25], [17, 11, 18, 10], [19, 16, 20, 17], [21, 13, 22, 12], [23, 20, 24, 21], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_37","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_38 | 4_1 # 9_38 | 4_1 # 9_38 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 11, 21], [12, 18, 13, 17], [14, 24, 15, 23], [16, 12, 17, 11], [18, 26, 19, 25], [20, 14, 21, 13], [22, 10, 23, 9], [24, 20, 25, 19], [26, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_38","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_38 | 4_1 # m9_38 | 4_1 # m9_38 | None | 13 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 11, 22], [12, 17, 13, 18], [14, 23, 15, 24], [16, 11, 17, 12], [18, 25, 19, 26], [20, 13, 21, 14], [22, 9, 23, 10], [24, 19, 25, 20], [26, 15, 9, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_38","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_39 | 4_1 # 9_39 | 4_1 # 9_39 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 20, 10, 21], [11, 25, 12, 24], [13, 18, 14, 19], [15, 26, 16, 9], [17, 22, 18, 23], [19, 10, 20, 11], [21, 14, 22, 15], [23, 13, 24, 12], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_39","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_39 | 4_1 # m9_39 | 4_1 # m9_39 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 21, 10, 20], [11, 24, 12, 25], [13, 19, 14, 18], [15, 9, 16, 26], [17, 23, 18, 22], [19, 11, 20, 10], [21, 15, 22, 14], [23, 12, 24, 13], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_39","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_40 | 4_1 # 9_40 | 4_1 # 9_40 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 20, 12, 21], [13, 19, 14, 18], [15, 11, 16, 10], [17, 26, 18, 9], [19, 25, 20, 24], [21, 17, 22, 16], [23, 14, 24, 15], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_40","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_40 | 4_1 # m9_40 | 4_1 # m9_40 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 21, 12, 20], [13, 18, 14, 19], [15, 10, 16, 11], [17, 9, 18, 26], [19, 24, 20, 25], [21, 16, 22, 17], [23, 15, 24, 14], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_40","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_41 | 4_1 # 9_41 | 4_1 # 9_41 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [11, 20, 12, 21], [13, 24, 14, 25], [15, 11, 16, 10], [17, 26, 18, 9], [19, 12, 20, 13], [21, 17, 22, 16], [23, 14, 24, 15], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_41","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_41 | 4_1 # m9_41 | 4_1 # m9_41 | None | 13 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [11, 21, 12, 20], [13, 25, 14, 24], [15, 10, 16, 11], [17, 9, 18, 26], [19, 13, 20, 12], [21, 16, 22, 17], [23, 15, 24, 14], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_41","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_42 | 4_1 # 9_42 | 4_1 # 9_42 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [13, 19, 14, 18], [11, 16, 12, 17], [17, 10, 18, 11], [24, 19, 25, 20], [22, 16, 23, 15], [14, 24, 15, 23], [26, 21, 9, 22], [20, 25, 21, 26]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_42","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_42 | 4_1 # m9_42 | 4_1 # m9_42 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [13, 18, 14, 19], [11, 17, 12, 16], [17, 11, 18, 10], [24, 20, 25, 19], [22, 15, 23, 16], [14, 23, 15, 24], [26, 22, 9, 21], [20, 26, 21, 25]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_42","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_43 | 4_1 # 9_43 | 4_1 # 9_43 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 10, 16], [11, 24, 12, 25], [13, 9, 14, 26], [14, 20, 15, 19], [17, 11, 18, 10], [18, 22, 19, 21], [20, 16, 21, 15], [23, 12, 24, 13], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_43","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_43 | 4_1 # m9_43 | 4_1 # m9_43 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 10, 17], [11, 25, 12, 24], [13, 26, 14, 9], [14, 19, 15, 20], [17, 10, 18, 11], [18, 21, 19, 22], [20, 15, 21, 16], [23, 13, 24, 12], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_43","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_44 | 4_1 # 9_44 | 4_1 # 9_44 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [11, 24, 12, 25], [13, 9, 14, 26], [14, 20, 15, 19], [16, 9, 17, 10], [18, 22, 19, 21], [20, 16, 21, 15], [23, 12, 24, 13], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_44","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_44 | 4_1 # m9_44 | 4_1 # m9_44 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [11, 25, 12, 24], [13, 26, 14, 9], [14, 19, 15, 20], [16, 10, 17, 9], [18, 21, 19, 22], [20, 15, 21, 16], [23, 13, 24, 12], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_44","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_45 | 4_1 # 9_45 | 4_1 # 9_45 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [11, 24, 12, 25], [13, 9, 14, 26], [15, 20, 16, 21], [16, 9, 17, 10], [19, 14, 20, 15], [21, 18, 22, 19], [23, 12, 24, 13], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_45","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_45 | 4_1 # m9_45 | 4_1 # m9_45 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [11, 25, 12, 24], [13, 26, 14, 9], [15, 21, 16, 20], [16, 10, 17, 9], [19, 15, 20, 14], [21, 19, 22, 18], [23, 13, 24, 12], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_45","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_46 | 4_1 # 9_46 | 4_1 # 9_46 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 11, 17], [11, 22, 12, 23], [14, 25, 15, 26], [16, 19, 17, 20], [18, 10, 19, 9], [21, 12, 22, 13], [23, 21, 24, 20], [24, 15, 25, 16], [26, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_46","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_46 | 4_1 # m9_46 | 4_1 # m9_46 | None | None | false | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 17, 11, 18], [11, 23, 12, 22], [14, 26, 15, 25], [16, 20, 17, 19], [18, 9, 19, 10], [21, 13, 22, 12], [23, 20, 24, 21], [24, 16, 25, 15], [26, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_46","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_47 | 4_1 # 9_47 | 4_1 # 9_47 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 25, 13, 26], [14, 24, 15, 23], [16, 12, 17, 11], [18, 13, 19, 14], [20, 16, 21, 15], [21, 11, 22, 10], [24, 19, 25, 20], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_47","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_47 | 4_1 # m9_47 | 4_1 # m9_47 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 26, 13, 25], [14, 23, 15, 24], [16, 11, 17, 12], [18, 14, 19, 13], [20, 15, 21, 16], [21, 10, 22, 11], [24, 20, 25, 19], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_47","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_48 | 4_1 # 9_48 | 4_1 # 9_48 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 18, 10, 19], [11, 22, 12, 23], [14, 25, 15, 26], [17, 10, 18, 11], [19, 17, 20, 16], [21, 12, 22, 13], [23, 21, 24, 20], [24, 15, 25, 16], [26, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_48","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_48 | 4_1 # m9_48 | 4_1 # m9_48 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 19, 10, 18], [11, 23, 12, 22], [14, 26, 15, 25], [17, 11, 18, 10], [19, 16, 20, 17], [21, 13, 22, 12], [23, 20, 24, 21], [24, 16, 25, 15], [26, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_48","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 9_49 | 4_1 # 9_49 | 4_1 # 9_49 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 23, 10, 22], [12, 20, 13, 19], [14, 24, 15, 23], [15, 11, 16, 10], [18, 26, 19, 25], [20, 12, 21, 11], [21, 17, 22, 16], [24, 14, 25, 13], [26, 18, 9, 17]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_49","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m9_49 | 4_1 # m9_49 | 4_1 # m9_49 | None | None | false | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 22, 10, 23], [12, 19, 13, 20], [14, 23, 15, 24], [15, 10, 16, 11], [18, 25, 19, 26], [20, 11, 21, 12], [21, 16, 22, 17], [24, 13, 25, 14], [26, 17, 9, 18]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"9_49","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_1 | 5_1 # 8_1 | 5_1 # 8_1 | None | 13 | 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, 17, 14, 16], [15, 22, 16, 23], [17, 13, 18, 12], [19, 11, 20, 26], [21, 25, 22, 24], [23, 14, 24, 15], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_1 | 5_1 # m8_1 | 5_1 # m8_1 | None | 13 | 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, 16, 14, 17], [15, 23, 16, 22], [17, 12, 18, 13], [19, 26, 20, 11], [21, 24, 22, 25], [23, 15, 24, 14], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_2 | 5_1 # 8_2 | 5_1 # 8_2 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 12, 21], [13, 23, 14, 22], [15, 25, 16, 24], [17, 11, 18, 26], [19, 12, 20, 13], [21, 19, 22, 18], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_2 | 5_1 # m8_2 | 5_1 # m8_2 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 12, 20], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 11], [19, 13, 20, 12], [21, 18, 22, 19], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_3 | 5_1 # 8_3 | 5_1 # 8_3 | None | 13 | true | composite | 1 | [[16, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 12, 17, 11], [24, 20, 25, 19], [20, 15, 21, 16], [22, 13, 23, 14], [14, 21, 15, 22], [12, 23, 13, 24], [26, 18, 11, 17], [18, 26, 19, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_4 | 5_1 # 8_4 | 5_1 # 8_4 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 13, 22], [14, 19, 15, 20], [16, 26, 17, 25], [18, 24, 19, 23], [20, 11, 21, 12], [22, 13, 23, 14], [24, 18, 25, 17], [26, 16, 11, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_4 | 5_1 # m8_4 | 5_1 # m8_4 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 13, 21], [14, 20, 15, 19], [16, 25, 17, 26], [18, 23, 19, 24], [20, 12, 21, 11], [22, 14, 23, 13], [24, 17, 25, 18], [26, 15, 11, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_5 | 5_1 # 8_5 | 5_1 # 8_5 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [13, 19, 14, 18], [15, 22, 16, 23], [17, 13, 18, 12], [19, 25, 20, 24], [21, 11, 22, 26], [23, 14, 24, 15], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_5 | 5_1 # m8_5 | 5_1 # m8_5 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [13, 18, 14, 19], [15, 23, 16, 22], [17, 12, 18, 13], [19, 24, 20, 25], [21, 26, 22, 11], [23, 15, 24, 14], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_6 | 5_1 # 8_6 | 5_1 # 8_6 | None | 13 | 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, 24, 15, 23], [16, 26, 17, 25], [18, 22, 19, 21], [20, 11, 21, 12], [22, 18, 23, 17], [24, 16, 25, 15], [26, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_6 | 5_1 # m8_6 | 5_1 # m8_6 | None | 13 | 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, 23, 15, 24], [16, 25, 17, 26], [18, 21, 19, 22], [20, 12, 21, 11], [22, 17, 23, 18], [24, 15, 25, 16], [26, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_7 | 5_1 # 8_7 | 5_1 # 8_7 | None | 13 | 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, 24, 15, 23], [16, 25, 17, 26], [18, 11, 19, 12], [20, 15, 21, 16], [22, 14, 23, 13], [24, 22, 25, 21], [26, 17, 11, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_7 | 5_1 # m8_7 | 5_1 # m8_7 | None | 13 | 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, 23, 15, 24], [16, 26, 17, 25], [18, 12, 19, 11], [20, 16, 21, 15], [22, 13, 23, 14], [24, 21, 25, 22], [26, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_8 | 5_1 # 8_8 | 5_1 # 8_8 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [13, 22, 14, 23], [15, 19, 16, 18], [17, 13, 18, 12], [19, 26, 20, 11], [21, 24, 22, 25], [23, 14, 24, 15], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_8 | 5_1 # m8_8 | 5_1 # m8_8 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [13, 23, 14, 22], [15, 18, 16, 19], [17, 12, 18, 13], [19, 11, 20, 26], [21, 25, 22, 24], [23, 15, 24, 14], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_9 | 5_1 # 8_9 | 5_1 # 8_9 | None | 13 | true | composite | 1 | [[16, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 12, 17, 11], [24, 18, 25, 17], [20, 13, 21, 14], [12, 23, 13, 24], [22, 15, 23, 16], [14, 21, 15, 22], [26, 20, 11, 19], [18, 26, 19, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_10 | 5_1 # 8_10 | 5_1 # 8_10 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [14, 19, 15, 20], [16, 21, 17, 22], [18, 25, 19, 26], [20, 15, 21, 16], [22, 12, 23, 11], [24, 17, 25, 18], [26, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_10 | 5_1 # m8_10 | 5_1 # m8_10 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [14, 20, 15, 19], [16, 22, 17, 21], [18, 26, 19, 25], [20, 16, 21, 15], [22, 11, 23, 12], [24, 18, 25, 17], [26, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_11 | 5_1 # 8_11 | 5_1 # 8_11 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 20, 12, 21], [13, 23, 14, 22], [15, 25, 16, 24], [17, 11, 18, 26], [19, 12, 20, 13], [21, 19, 22, 18], [23, 17, 24, 16], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_11 | 5_1 # m8_11 | 5_1 # m8_11 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 12, 20], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 11], [19, 13, 20, 12], [21, 18, 22, 19], [23, 16, 24, 17], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_12 | 5_1 # 8_12 | 5_1 # 8_12 | None | 13 | true | composite | 1 | [[14, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 12, 15, 11], [20, 18, 21, 17], [18, 13, 19, 14], [12, 19, 13, 20], [24, 16, 25, 15], [26, 21, 11, 22], [22, 25, 23, 26], [16, 24, 17, 23]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_13 | 5_1 # 8_13 | 5_1 # 8_13 | None | 13 | 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, 24, 14, 25], [15, 22, 16, 23], [17, 21, 18, 20], [19, 13, 20, 12], [21, 26, 22, 11], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_13 | 5_1 # m8_13 | 5_1 # m8_13 | None | 13 | 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, 25, 14, 24], [15, 23, 16, 22], [17, 20, 18, 21], [19, 12, 20, 13], [21, 11, 22, 26], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_14 | 5_1 # 8_14 | 5_1 # 8_14 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 22, 13, 21], [14, 18, 15, 17], [16, 25, 17, 26], [18, 24, 19, 23], [20, 12, 21, 11], [22, 20, 23, 19], [24, 14, 25, 13], [26, 15, 11, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_14 | 5_1 # m8_14 | 5_1 # m8_14 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 21, 13, 22], [14, 17, 15, 18], [16, 26, 17, 25], [18, 23, 19, 24], [20, 11, 21, 12], [22, 19, 23, 20], [24, 13, 25, 14], [26, 16, 11, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_15 | 5_1 # 8_15 | 5_1 # 8_15 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [13, 25, 14, 24], [15, 19, 16, 18], [17, 13, 18, 12], [19, 23, 20, 22], [21, 11, 22, 26], [23, 15, 24, 14], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_15 | 5_1 # m8_15 | 5_1 # m8_15 | None | 13 | true | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [13, 24, 14, 25], [15, 18, 16, 19], [17, 12, 18, 13], [19, 22, 20, 23], [21, 26, 22, 11], [23, 14, 24, 15], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_16 | 5_1 # 8_16 | 5_1 # 8_16 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 13, 18], [14, 20, 15, 19], [16, 11, 17, 12], [18, 24, 19, 23], [20, 25, 21, 26], [22, 16, 23, 15], [24, 13, 25, 14], [26, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_16 | 5_1 # m8_16 | 5_1 # m8_16 | None | 13 | true | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 18, 13, 17], [14, 19, 15, 20], [16, 12, 17, 11], [18, 23, 19, 24], [20, 26, 21, 25], [22, 15, 23, 16], [24, 14, 25, 13], [26, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_17 | 5_1 # 8_17 | 5_1 # 8_17 | None | 13 | true | composite | 1 | [[16, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 12, 17, 11], [24, 18, 25, 17], [18, 13, 19, 14], [12, 23, 13, 24], [22, 15, 23, 16], [14, 19, 15, 20], [26, 22, 11, 21], [20, 26, 21, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 5_1 # r8_17 | 5_1 # r8_17 | 5_1 # r8_17 | None | 13 | true | composite | 1 | [[17, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 11, 16, 12], [25, 17, 24, 18], [19, 14, 18, 13], [13, 24, 12, 23], [23, 16, 22, 15], [15, 20, 14, 19], [11, 21, 26, 22], [21, 25, 20, 26]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 5_1 # 8_18 | 5_1 # 8_18 | 5_1 # 8_18 | None | 13 | true | composite | 1 | [[16, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 12, 17, 11], [18, 13, 19, 14], [26, 21, 11, 22], [12, 24, 13, 23], [14, 25, 15, 26], [20, 16, 21, 15], [22, 17, 23, 18], [24, 20, 25, 19]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_19 | 5_1 # 8_19 | 5_1 # 8_19 | None | None | false | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 24, 13, 23], [15, 21, 16, 20], [17, 25, 18, 24], [19, 15, 20, 14], [21, 17, 22, 16], [22, 12, 23, 11], [25, 19, 26, 18], [26, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_19 | 5_1 # m8_19 | 5_1 # m8_19 | None | None | false | composite | 1 | [[12, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 23, 13, 24], [15, 20, 16, 21], [17, 24, 18, 25], [19, 14, 20, 15], [21, 16, 22, 17], [22, 11, 23, 12], [25, 18, 26, 19], [26, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_20 | 5_1 # 8_20 | 5_1 # 8_20 | None | None | false | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [14, 23, 15, 24], [15, 19, 16, 18], [17, 13, 18, 12], [20, 25, 21, 26], [22, 19, 23, 20], [24, 13, 25, 14], [26, 21, 11, 22]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_20 | 5_1 # m8_20 | 5_1 # m8_20 | None | None | false | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [14, 24, 15, 23], [15, 18, 16, 19], [17, 12, 18, 13], [20, 26, 21, 25], [22, 20, 23, 19], [24, 14, 25, 13], [26, 22, 11, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_1 # 8_21 | 5_1 # 8_21 | 5_1 # 8_21 | None | None | false | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 17, 12, 16], [14, 23, 15, 24], [15, 19, 16, 18], [17, 13, 18, 12], [19, 23, 20, 22], [21, 11, 22, 26], [24, 13, 25, 14], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_1 # m8_21 | 5_1 # m8_21 | 5_1 # m8_21 | None | None | false | composite | 1 | [[11, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5], [2, 16, 12, 17], [14, 24, 15, 23], [15, 18, 16, 19], [17, 12, 18, 13], [19, 22, 20, 23], [21, 26, 22, 11], [24, 14, 25, 13], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_1 | m5_1 # 8_1 | m5_1 # 8_1 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 19, 12, 18], [13, 17, 14, 16], [15, 22, 16, 23], [17, 13, 18, 12], [19, 11, 20, 26], [21, 25, 22, 24], [23, 14, 24, 15], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_1 | m5_1 # m8_1 | m5_1 # m8_1 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 18, 12, 19], [13, 16, 14, 17], [15, 23, 16, 22], [17, 12, 18, 13], [19, 26, 20, 11], [21, 24, 22, 25], [23, 15, 24, 14], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_2 | m5_1 # 8_2 | m5_1 # 8_2 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 20, 12, 21], [13, 23, 14, 22], [15, 25, 16, 24], [17, 11, 18, 26], [19, 12, 20, 13], [21, 19, 22, 18], [23, 15, 24, 14], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_2 | m5_1 # m8_2 | m5_1 # m8_2 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 21, 12, 20], [13, 22, 14, 23], [15, 24, 16, 25], [17, 26, 18, 11], [19, 13, 20, 12], [21, 18, 22, 19], [23, 14, 24, 15], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_3 | m5_1 # 8_3 | m5_1 # 8_3 | None | 13 | true | composite | 1 | [[16, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 12, 17, 11], [24, 20, 25, 19], [20, 15, 21, 16], [22, 13, 23, 14], [14, 21, 15, 22], [12, 23, 13, 24], [26, 18, 11, 17], [18, 26, 19, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_4 | m5_1 # 8_4 | m5_1 # 8_4 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 21, 13, 22], [14, 19, 15, 20], [16, 26, 17, 25], [18, 24, 19, 23], [20, 11, 21, 12], [22, 13, 23, 14], [24, 18, 25, 17], [26, 16, 11, 15]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_4 | m5_1 # m8_4 | m5_1 # m8_4 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 22, 13, 21], [14, 20, 15, 19], [16, 25, 17, 26], [18, 23, 19, 24], [20, 12, 21, 11], [22, 14, 23, 13], [24, 17, 25, 18], [26, 15, 11, 16]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_5 | m5_1 # 8_5 | m5_1 # 8_5 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 17, 12, 16], [13, 19, 14, 18], [15, 22, 16, 23], [17, 13, 18, 12], [19, 25, 20, 24], [21, 11, 22, 26], [23, 14, 24, 15], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_5 | m5_1 # m8_5 | m5_1 # m8_5 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 16, 12, 17], [13, 18, 14, 19], [15, 23, 16, 22], [17, 12, 18, 13], [19, 24, 20, 25], [21, 26, 22, 11], [23, 15, 24, 14], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_6 | m5_1 # 8_6 | m5_1 # 8_6 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 19, 13, 20], [14, 24, 15, 23], [16, 26, 17, 25], [18, 22, 19, 21], [20, 11, 21, 12], [22, 18, 23, 17], [24, 16, 25, 15], [26, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_6 | m5_1 # m8_6 | m5_1 # m8_6 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 20, 13, 19], [14, 23, 15, 24], [16, 25, 17, 26], [18, 21, 19, 22], [20, 12, 21, 11], [22, 17, 23, 18], [24, 15, 25, 16], [26, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_7 | m5_1 # 8_7 | m5_1 # 8_7 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 19, 13, 20], [14, 24, 15, 23], [16, 25, 17, 26], [18, 11, 19, 12], [20, 15, 21, 16], [22, 14, 23, 13], [24, 22, 25, 21], [26, 17, 11, 18]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_7 | m5_1 # m8_7 | m5_1 # m8_7 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 20, 13, 19], [14, 23, 15, 24], [16, 26, 17, 25], [18, 12, 19, 11], [20, 16, 21, 15], [22, 13, 23, 14], [24, 21, 25, 22], [26, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_8 | m5_1 # 8_8 | m5_1 # 8_8 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 17, 12, 16], [13, 22, 14, 23], [15, 19, 16, 18], [17, 13, 18, 12], [19, 26, 20, 11], [21, 24, 22, 25], [23, 14, 24, 15], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_8 | m5_1 # m8_8 | m5_1 # m8_8 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 16, 12, 17], [13, 23, 14, 22], [15, 18, 16, 19], [17, 12, 18, 13], [19, 11, 20, 26], [21, 25, 22, 24], [23, 15, 24, 14], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_9 | m5_1 # 8_9 | m5_1 # 8_9 | None | 13 | true | composite | 1 | [[16, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 12, 17, 11], [24, 18, 25, 17], [20, 13, 21, 14], [12, 23, 13, 24], [22, 15, 23, 16], [14, 21, 15, 22], [26, 20, 11, 19], [18, 26, 19, 25]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_10 | m5_1 # 8_10 | m5_1 # 8_10 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 24, 13, 23], [14, 19, 15, 20], [16, 21, 17, 22], [18, 25, 19, 26], [20, 15, 21, 16], [22, 12, 23, 11], [24, 17, 25, 18], [26, 14, 11, 13]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_10 | m5_1 # m8_10 | m5_1 # m8_10 | None | 13 | true | composite | 1 | [[12, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 23, 13, 24], [14, 20, 15, 19], [16, 22, 17, 21], [18, 26, 19, 25], [20, 16, 21, 15], [22, 11, 23, 12], [24, 18, 25, 17], [26, 13, 11, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_11 | m5_1 # 8_11 | m5_1 # 8_11 | None | 13 | true | composite | 1 | [[11, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [2, 20, 12, 21], [13, 23, 14, 22], [15, 25, 16, 24], [17, 11, 18, 26], [19, 12, 20, 13], [21, 19, 22, 18], [23, 17, 24, 16], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"5_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}] | false | true | reversible | [] |