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 # m10_21 | m3_1 # m10_21 | m3_1 # m10_21 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 18, 10, 19], [11, 22, 12, 23], [13, 16, 14, 17], [15, 25, 16, 24], [17, 26, 18, 7], [19, 8, 20, 9], [21, 10, 22, 11], [23, 12, 24, 13], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_22 | m3_1 # 10_22 | m3_1 # 10_22 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 24, 11, 23], [12, 22, 13, 21], [14, 20, 15, 19], [16, 7, 17, 8], [18, 25, 19, 26], [20, 12, 21, 11], [22, 14, 23, 13], [24, 10, 25, 9], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_22","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_22 | m3_1 # m10_22 | m3_1 # m10_22 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 23, 11, 24], [12, 21, 13, 22], [14, 19, 15, 20], [16, 8, 17, 7], [18, 26, 19, 25], [20, 11, 21, 12], [22, 13, 23, 14], [24, 9, 25, 10], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_22","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_23 | m3_1 # 10_23 | m3_1 # 10_23 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 17, 11, 18], [12, 24, 13, 23], [14, 25, 15, 26], [16, 7, 17, 8], [18, 9, 19, 10], [20, 13, 21, 14], [22, 12, 23, 11], [24, 22, 25, 21], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_23","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_23 | m3_1 # m10_23 | m3_1 # m10_23 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 18, 11, 17], [12, 23, 13, 24], [14, 26, 15, 25], [16, 8, 17, 7], [18, 10, 19, 9], [20, 14, 21, 13], [22, 11, 23, 12], [24, 21, 25, 22], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_23","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_24 | m3_1 # 10_24 | m3_1 # 10_24 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 16, 11, 15], [12, 23, 13, 24], [14, 12, 15, 11], [16, 10, 17, 9], [18, 26, 19, 25], [20, 8, 21, 7], [22, 13, 23, 14], [24, 18, 25, 17], [26, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_24","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_24 | m3_1 # m10_24 | m3_1 # m10_24 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 15, 11, 16], [12, 24, 13, 23], [14, 11, 15, 12], [16, 9, 17, 10], [18, 25, 19, 26], [20, 7, 21, 8], [22, 14, 23, 13], [24, 17, 25, 18], [26, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_24","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_25 | m3_1 # 10_25 | m3_1 # 10_25 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 21, 10, 20], [11, 19, 12, 18], [13, 24, 14, 25], [15, 7, 16, 26], [17, 11, 18, 10], [19, 13, 20, 12], [21, 9, 22, 8], [23, 14, 24, 15], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_25","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_25 | m3_1 # m10_25 | m3_1 # m10_25 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 20, 10, 21], [11, 18, 12, 19], [13, 25, 14, 24], [15, 26, 16, 7], [17, 10, 18, 11], [19, 12, 20, 13], [21, 8, 22, 9], [23, 15, 24, 14], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_25","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_26 | m3_1 # 10_26 | m3_1 # 10_26 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [9, 20, 10, 21], [11, 23, 12, 22], [13, 25, 14, 24], [15, 7, 16, 26], [17, 10, 18, 11], [19, 8, 20, 9], [21, 17, 22, 16], [23, 15, 24, 14], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_26","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_26 | m3_1 # m10_26 | m3_1 # m10_26 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [9, 21, 10, 20], [11, 22, 12, 23], [13, 24, 14, 25], [15, 26, 16, 7], [17, 11, 18, 10], [19, 9, 20, 8], [21, 16, 22, 17], [23, 14, 24, 15], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_26","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_27 | m3_1 # 10_27 | m3_1 # 10_27 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 24, 10, 25], [11, 22, 12, 23], [13, 20, 14, 21], [15, 19, 16, 18], [17, 9, 18, 8], [19, 26, 20, 7], [21, 10, 22, 11], [23, 12, 24, 13], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_27","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_27 | m3_1 # m10_27 | m3_1 # m10_27 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 25, 10, 24], [11, 23, 12, 22], [13, 21, 14, 20], [15, 18, 16, 19], [17, 8, 18, 9], [19, 7, 20, 26], [21, 11, 22, 10], [23, 13, 24, 12], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_27","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_28 | m3_1 # 10_28 | m3_1 # 10_28 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 22, 10, 23], [11, 20, 12, 21], [13, 17, 14, 16], [15, 9, 16, 8], [17, 26, 18, 7], [19, 24, 20, 25], [21, 10, 22, 11], [23, 12, 24, 13], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_28","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_28 | m3_1 # m10_28 | m3_1 # m10_28 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 23, 10, 22], [11, 21, 12, 20], [13, 16, 14, 17], [15, 8, 16, 9], [17, 7, 18, 26], [19, 25, 20, 24], [21, 11, 22, 10], [23, 13, 24, 12], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_28","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_29 | m3_1 # 10_29 | m3_1 # 10_29 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 8, 11, 7], [12, 17, 13, 18], [14, 24, 15, 23], [16, 26, 17, 25], [18, 11, 19, 12], [20, 9, 21, 10], [22, 20, 23, 19], [24, 16, 25, 15], [26, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_29","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_29 | m3_1 # m10_29 | m3_1 # m10_29 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 7, 11, 8], [12, 18, 13, 17], [14, 23, 15, 24], [16, 25, 17, 26], [18, 12, 19, 11], [20, 10, 21, 9], [22, 19, 23, 20], [24, 15, 25, 16], [26, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_29","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_30 | m3_1 # 10_30 | m3_1 # 10_30 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 23, 10, 22], [11, 17, 12, 16], [13, 25, 14, 24], [15, 7, 16, 26], [17, 11, 18, 10], [19, 8, 20, 9], [21, 19, 22, 18], [23, 15, 24, 14], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_30","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_30 | m3_1 # m10_30 | m3_1 # m10_30 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 22, 10, 23], [11, 16, 12, 17], [13, 24, 14, 25], [15, 26, 16, 7], [17, 10, 18, 11], [19, 9, 20, 8], [21, 18, 22, 19], [23, 14, 24, 15], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_30","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_31 | m3_1 # 10_31 | m3_1 # 10_31 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 9, 11], [10, 22, 11, 21], [12, 8, 13, 7], [14, 23, 15, 24], [16, 25, 17, 26], [18, 13, 19, 14], [20, 10, 21, 9], [22, 20, 23, 19], [24, 17, 25, 18], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_31","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_31 | m3_1 # m10_31 | m3_1 # m10_31 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 9, 12], [10, 21, 11, 22], [12, 7, 13, 8], [14, 24, 15, 23], [16, 26, 17, 25], [18, 14, 19, 13], [20, 9, 21, 10], [22, 19, 23, 20], [24, 18, 25, 17], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_31","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_32 | m3_1 # 10_32 | m3_1 # 10_32 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 16, 11, 15], [12, 21, 13, 22], [14, 23, 15, 24], [16, 26, 17, 25], [18, 8, 19, 7], [20, 18, 21, 17], [22, 13, 23, 14], [24, 11, 25, 12], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_32","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_32 | m3_1 # m10_32 | m3_1 # m10_32 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 15, 11, 16], [12, 22, 13, 21], [14, 24, 15, 23], [16, 25, 17, 26], [18, 7, 19, 8], [20, 17, 21, 18], [22, 14, 23, 13], [24, 12, 25, 11], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_32","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_33 | m3_1 # 10_33 | m3_1 # 10_33 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 12, 21, 11], [26, 21, 7, 22], [22, 13, 23, 14], [14, 25, 15, 26], [24, 15, 25, 16], [16, 23, 17, 24], [8, 20, 9, 19], [18, 10, 19, 9], [10, 18, 11, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_33","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_34 | m3_1 # 10_34 | m3_1 # 10_34 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 20, 10, 21], [11, 15, 12, 14], [13, 9, 14, 8], [15, 26, 16, 7], [17, 24, 18, 25], [19, 22, 20, 23], [21, 10, 22, 11], [23, 18, 24, 19], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_34","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_34 | m3_1 # m10_34 | m3_1 # m10_34 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 21, 10, 20], [11, 14, 12, 15], [13, 8, 14, 9], [15, 7, 16, 26], [17, 25, 18, 24], [19, 23, 20, 22], [21, 11, 22, 10], [23, 19, 24, 18], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_34","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_35 | m3_1 # 10_35 | m3_1 # 10_35 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 24, 10, 25], [11, 9, 12, 8], [13, 20, 14, 21], [15, 18, 16, 19], [17, 7, 18, 26], [19, 14, 20, 15], [21, 12, 22, 13], [23, 10, 24, 11], [25, 23, 26, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_35","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_35 | m3_1 # m10_35 | m3_1 # m10_35 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 25, 10, 24], [11, 8, 12, 9], [13, 21, 14, 20], [15, 19, 16, 18], [17, 26, 18, 7], [19, 15, 20, 14], [21, 13, 22, 12], [23, 11, 24, 10], [25, 22, 26, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_35","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_36 | m3_1 # 10_36 | m3_1 # 10_36 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 20, 11, 19], [12, 18, 13, 17], [14, 24, 15, 23], [16, 14, 17, 13], [18, 12, 19, 11], [20, 26, 21, 25], [22, 7, 23, 8], [24, 16, 25, 15], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_36","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_36 | m3_1 # m10_36 | m3_1 # m10_36 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 19, 11, 20], [12, 17, 13, 18], [14, 23, 15, 24], [16, 13, 17, 14], [18, 11, 19, 12], [20, 25, 21, 26], [22, 8, 23, 7], [24, 15, 25, 16], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_36","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_37 | m3_1 # 10_37 | m3_1 # 10_37 | None | 13 | true | composite | 1 | [[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [18, 14, 19, 13], [14, 18, 15, 17], [24, 21, 25, 22], [22, 11, 23, 12], [12, 23, 13, 24], [26, 19, 7, 20], [20, 25, 21, 26], [8, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_37","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_38 | m3_1 # 10_38 | m3_1 # 10_38 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 18, 11, 17], [12, 16, 13, 15], [14, 23, 15, 24], [16, 12, 17, 11], [18, 26, 19, 25], [20, 8, 21, 7], [22, 20, 23, 19], [24, 13, 25, 14], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_38","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_38 | m3_1 # m10_38 | m3_1 # m10_38 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 17, 11, 18], [12, 15, 13, 16], [14, 24, 15, 23], [16, 11, 17, 12], [18, 25, 19, 26], [20, 7, 21, 8], [22, 19, 23, 20], [24, 14, 25, 13], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_38","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_39 | m3_1 # 10_39 | m3_1 # 10_39 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 23, 10, 22], [11, 25, 12, 24], [13, 17, 14, 16], [15, 7, 16, 26], [17, 13, 18, 12], [19, 8, 20, 9], [21, 19, 22, 18], [23, 11, 24, 10], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_39","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_39 | m3_1 # m10_39 | m3_1 # m10_39 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 22, 10, 23], [11, 24, 12, 25], [13, 16, 14, 17], [15, 26, 16, 7], [17, 12, 18, 13], [19, 9, 20, 8], [21, 18, 22, 19], [23, 10, 24, 11], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_39","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_40 | m3_1 # 10_40 | m3_1 # 10_40 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 24, 11, 23], [12, 25, 13, 26], [14, 19, 15, 20], [16, 7, 17, 8], [18, 15, 19, 16], [20, 11, 21, 12], [22, 10, 23, 9], [24, 22, 25, 21], [26, 13, 7, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_40","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_40 | m3_1 # m10_40 | m3_1 # m10_40 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 23, 11, 24], [12, 26, 13, 25], [14, 20, 15, 19], [16, 8, 17, 7], [18, 16, 19, 15], [20, 12, 21, 11], [22, 9, 23, 10], [24, 21, 25, 22], [26, 14, 7, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_40","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_41 | m3_1 # 10_41 | m3_1 # 10_41 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 23, 10, 22], [11, 16, 12, 17], [13, 25, 14, 24], [15, 12, 16, 13], [17, 7, 18, 26], [19, 8, 20, 9], [21, 19, 22, 18], [23, 15, 24, 14], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_41","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_41 | m3_1 # m10_41 | m3_1 # m10_41 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 22, 10, 23], [11, 17, 12, 16], [13, 24, 14, 25], [15, 13, 16, 12], [17, 26, 18, 7], [19, 9, 20, 8], [21, 18, 22, 19], [23, 14, 24, 15], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_41","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_42 | m3_1 # 10_42 | m3_1 # 10_42 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 24, 10, 25], [11, 20, 12, 21], [13, 17, 14, 16], [15, 9, 16, 8], [17, 26, 18, 7], [19, 23, 20, 22], [21, 10, 22, 11], [23, 19, 24, 18], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_42","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_42 | m3_1 # m10_42 | m3_1 # m10_42 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 25, 10, 24], [11, 21, 12, 20], [13, 16, 14, 17], [15, 8, 16, 9], [17, 7, 18, 26], [19, 22, 20, 23], [21, 11, 22, 10], [23, 18, 24, 19], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_42","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_43 | m3_1 # 10_43 | m3_1 # 10_43 | None | 13 | true | composite | 1 | [[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 10, 17, 9], [20, 14, 21, 13], [26, 17, 7, 18], [18, 25, 19, 26], [14, 20, 15, 19], [24, 21, 25, 22], [22, 11, 23, 12], [12, 23, 13, 24], [8, 16, 9, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_43","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_44 | m3_1 # 10_44 | m3_1 # 10_44 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 23, 10, 22], [11, 26, 12, 7], [13, 25, 14, 24], [15, 13, 16, 12], [17, 11, 18, 10], [19, 8, 20, 9], [21, 19, 22, 18], [23, 16, 24, 17], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_44","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_44 | m3_1 # m10_44 | m3_1 # m10_44 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 22, 10, 23], [11, 7, 12, 26], [13, 24, 14, 25], [15, 12, 16, 13], [17, 10, 18, 11], [19, 9, 20, 8], [21, 18, 22, 19], [23, 17, 24, 16], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_44","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_45 | m3_1 # 10_45 | m3_1 # 10_45 | None | 13 | true | composite | 1 | [[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [18, 12, 19, 11], [16, 9, 17, 10], [8, 17, 9, 18], [26, 20, 7, 19], [20, 13, 21, 14], [12, 25, 13, 26], [24, 21, 25, 22], [22, 16, 23, 15], [14, 24, 15, 23]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_45","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_46 | m3_1 # 10_46 | m3_1 # 10_46 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 15, 10, 14], [11, 17, 12, 16], [13, 22, 14, 23], [15, 11, 16, 10], [17, 25, 18, 24], [19, 7, 20, 26], [21, 9, 22, 8], [23, 12, 24, 13], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_46","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_46 | m3_1 # m10_46 | m3_1 # m10_46 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 14, 10, 15], [11, 16, 12, 17], [13, 23, 14, 22], [15, 10, 16, 11], [17, 24, 18, 25], [19, 26, 20, 7], [21, 8, 22, 9], [23, 13, 24, 12], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_46","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_47 | m3_1 # 10_47 | m3_1 # 10_47 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [10, 17, 11, 18], [12, 23, 13, 24], [14, 7, 15, 8], [16, 9, 17, 10], [18, 11, 19, 12], [20, 26, 21, 25], [22, 20, 23, 19], [24, 13, 25, 14], [26, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_47","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_47 | m3_1 # m10_47 | m3_1 # m10_47 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [10, 18, 11, 17], [12, 24, 13, 23], [14, 8, 15, 7], [16, 10, 17, 9], [18, 12, 19, 11], [20, 25, 21, 26], [22, 19, 23, 20], [24, 14, 25, 13], [26, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_47","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_48 | m3_1 # 10_48 | m3_1 # 10_48 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [14, 10, 15, 9], [20, 12, 21, 11], [26, 21, 7, 22], [22, 15, 23, 16], [24, 17, 25, 18], [16, 23, 17, 24], [18, 25, 19, 26], [8, 14, 9, 13], [10, 20, 11, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_48","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_48 | m3_1 # m10_48 | m3_1 # m10_48 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 7, 13, 8], [14, 9, 15, 10], [20, 11, 21, 12], [26, 22, 7, 21], [22, 16, 23, 15], [24, 18, 25, 17], [16, 24, 17, 23], [18, 26, 19, 25], [8, 13, 9, 14], [10, 19, 11, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_48","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_49 | m3_1 # 10_49 | m3_1 # 10_49 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 23, 10, 22], [11, 15, 12, 14], [13, 9, 14, 8], [15, 21, 16, 20], [17, 25, 18, 24], [19, 7, 20, 26], [21, 11, 22, 10], [23, 17, 24, 16], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_49","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_49 | m3_1 # m10_49 | m3_1 # m10_49 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 22, 10, 23], [11, 14, 12, 15], [13, 8, 14, 9], [15, 20, 16, 21], [17, 24, 18, 25], [19, 26, 20, 7], [21, 10, 22, 11], [23, 16, 24, 17], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_49","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_50 | m3_1 # 10_50 | m3_1 # 10_50 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 25, 10, 24], [11, 19, 12, 18], [13, 21, 14, 20], [15, 23, 16, 22], [17, 26, 18, 7], [19, 15, 20, 14], [21, 13, 22, 12], [23, 9, 24, 8], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_50","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_50 | m3_1 # m10_50 | m3_1 # m10_50 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 24, 10, 25], [11, 18, 12, 19], [13, 20, 14, 21], [15, 22, 16, 23], [17, 7, 18, 26], [19, 14, 20, 15], [21, 12, 22, 13], [23, 8, 24, 9], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_50","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_51 | m3_1 # 10_51 | m3_1 # 10_51 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 24, 9, 23], [10, 17, 11, 18], [12, 19, 13, 20], [14, 21, 15, 22], [16, 25, 17, 26], [18, 13, 19, 14], [20, 11, 21, 12], [22, 8, 23, 7], [24, 15, 25, 16], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_51","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_51 | m3_1 # m10_51 | m3_1 # m10_51 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 23, 9, 24], [10, 18, 11, 17], [12, 20, 13, 19], [14, 22, 15, 21], [16, 26, 17, 25], [18, 14, 19, 13], [20, 12, 21, 11], [22, 7, 23, 8], [24, 16, 25, 15], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_51","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_52 | m3_1 # 10_52 | m3_1 # 10_52 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 8, 18], [9, 25, 10, 24], [11, 16, 12, 17], [13, 20, 14, 21], [15, 22, 16, 23], [17, 7, 18, 26], [19, 14, 20, 15], [21, 12, 22, 13], [23, 9, 24, 8], [25, 11, 26, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_52","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_52 | m3_1 # m10_52 | m3_1 # m10_52 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 8, 19], [9, 24, 10, 25], [11, 17, 12, 16], [13, 21, 14, 20], [15, 23, 16, 22], [17, 26, 18, 7], [19, 15, 20, 14], [21, 13, 22, 12], [23, 8, 24, 9], [25, 10, 26, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_52","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_53 | m3_1 # 10_53 | m3_1 # 10_53 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 23, 10, 22], [11, 15, 12, 14], [13, 9, 14, 8], [15, 21, 16, 20], [17, 25, 18, 24], [19, 7, 20, 26], [21, 11, 22, 10], [23, 19, 24, 18], [25, 17, 26, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_53","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_53 | m3_1 # m10_53 | m3_1 # m10_53 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 22, 10, 23], [11, 14, 12, 15], [13, 8, 14, 9], [15, 20, 16, 21], [17, 24, 18, 25], [19, 26, 20, 7], [21, 10, 22, 11], [23, 18, 24, 19], [25, 16, 26, 17]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_53","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_54 | m3_1 # 10_54 | m3_1 # 10_54 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 15, 11, 16], [12, 17, 13, 18], [14, 25, 15, 26], [16, 11, 17, 12], [18, 24, 19, 23], [20, 8, 21, 7], [22, 20, 23, 19], [24, 13, 25, 14], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_54","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_54 | m3_1 # m10_54 | m3_1 # m10_54 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 16, 11, 15], [12, 18, 13, 17], [14, 26, 15, 25], [16, 12, 17, 11], [18, 23, 19, 24], [20, 7, 21, 8], [22, 19, 23, 20], [24, 14, 25, 13], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_54","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_55 | m3_1 # 10_55 | m3_1 # 10_55 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [10, 24, 11, 23], [12, 18, 13, 17], [14, 8, 15, 7], [16, 14, 17, 13], [18, 12, 19, 11], [20, 26, 21, 25], [22, 20, 23, 19], [24, 10, 25, 9], [26, 22, 7, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_55","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_55 | m3_1 # m10_55 | m3_1 # m10_55 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [10, 23, 11, 24], [12, 17, 13, 18], [14, 7, 15, 8], [16, 13, 17, 14], [18, 11, 19, 12], [20, 25, 21, 26], [22, 19, 23, 20], [24, 9, 25, 10], [26, 21, 7, 22]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_55","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_56 | m3_1 # 10_56 | m3_1 # 10_56 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 16, 11, 15], [12, 18, 13, 17], [14, 23, 15, 24], [16, 12, 17, 11], [18, 26, 19, 25], [20, 8, 21, 7], [22, 20, 23, 19], [24, 13, 25, 14], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_56","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_56 | m3_1 # m10_56 | m3_1 # m10_56 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 15, 11, 16], [12, 17, 13, 18], [14, 24, 15, 23], [16, 11, 17, 12], [18, 25, 19, 26], [20, 7, 21, 8], [22, 19, 23, 20], [24, 14, 25, 13], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_56","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_57 | m3_1 # 10_57 | m3_1 # 10_57 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 22, 10, 23], [11, 26, 12, 7], [13, 19, 14, 18], [15, 13, 16, 12], [17, 24, 18, 25], [19, 15, 20, 14], [21, 8, 22, 9], [23, 16, 24, 17], [25, 20, 26, 21]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_57","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_57 | m3_1 # m10_57 | m3_1 # m10_57 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 23, 10, 22], [11, 7, 12, 26], [13, 18, 14, 19], [15, 12, 16, 13], [17, 25, 18, 24], [19, 14, 20, 15], [21, 9, 22, 8], [23, 17, 24, 16], [25, 21, 26, 20]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_57","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_58 | m3_1 # 10_58 | m3_1 # 10_58 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 16, 11, 15], [12, 19, 13, 20], [14, 12, 15, 11], [16, 26, 17, 25], [18, 13, 19, 14], [20, 24, 21, 23], [22, 7, 23, 8], [24, 18, 25, 17], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_58","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_58 | m3_1 # m10_58 | m3_1 # m10_58 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 15, 11, 16], [12, 20, 13, 19], [14, 11, 15, 12], [16, 25, 17, 26], [18, 14, 19, 13], [20, 23, 21, 24], [22, 8, 23, 7], [24, 17, 25, 18], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_58","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_59 | m3_1 # 10_59 | m3_1 # 10_59 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 23, 10, 22], [11, 26, 12, 7], [13, 20, 14, 21], [15, 13, 16, 12], [17, 25, 18, 24], [19, 14, 20, 15], [21, 17, 22, 16], [23, 9, 24, 8], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_59","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_59 | m3_1 # m10_59 | m3_1 # m10_59 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 22, 10, 23], [11, 7, 12, 26], [13, 21, 14, 20], [15, 12, 16, 13], [17, 24, 18, 25], [19, 15, 20, 14], [21, 16, 22, 17], [23, 8, 24, 9], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_59","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_60 | m3_1 # 10_60 | m3_1 # 10_60 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 14, 11, 13], [12, 17, 13, 18], [14, 20, 15, 19], [16, 23, 17, 24], [18, 11, 19, 12], [20, 26, 21, 25], [22, 7, 23, 8], [24, 15, 25, 16], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_60","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_60 | m3_1 # m10_60 | m3_1 # m10_60 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 13, 11, 14], [12, 18, 13, 17], [14, 19, 15, 20], [16, 24, 17, 23], [18, 12, 19, 11], [20, 25, 21, 26], [22, 8, 23, 7], [24, 16, 25, 15], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_60","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_61 | m3_1 # 10_61 | m3_1 # 10_61 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 22, 10, 23], [11, 20, 12, 21], [13, 7, 14, 26], [15, 9, 16, 8], [17, 25, 18, 24], [19, 12, 20, 13], [21, 10, 22, 11], [23, 17, 24, 16], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_61","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_61 | m3_1 # m10_61 | m3_1 # m10_61 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 23, 10, 22], [11, 21, 12, 20], [13, 26, 14, 7], [15, 8, 16, 9], [17, 24, 18, 25], [19, 13, 20, 12], [21, 11, 22, 10], [23, 16, 24, 17], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_61","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_62 | m3_1 # 10_62 | m3_1 # 10_62 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 24, 11, 23], [12, 19, 13, 20], [14, 25, 15, 26], [16, 7, 17, 8], [18, 11, 19, 12], [20, 13, 21, 14], [22, 10, 23, 9], [24, 22, 25, 21], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_62","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_62 | m3_1 # m10_62 | m3_1 # m10_62 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 23, 11, 24], [12, 20, 13, 19], [14, 26, 15, 25], [16, 8, 17, 7], [18, 12, 19, 11], [20, 14, 21, 13], [22, 9, 23, 10], [24, 21, 25, 22], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_62","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_63 | m3_1 # 10_63 | m3_1 # 10_63 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 25, 10, 24], [11, 23, 12, 22], [13, 17, 14, 16], [15, 9, 16, 8], [17, 21, 18, 20], [19, 7, 20, 26], [21, 13, 22, 12], [23, 11, 24, 10], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_63","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_63 | m3_1 # m10_63 | m3_1 # m10_63 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 24, 10, 25], [11, 22, 12, 23], [13, 16, 14, 17], [15, 8, 16, 9], [17, 20, 18, 21], [19, 26, 20, 7], [21, 12, 22, 13], [23, 10, 24, 11], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_63","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_64 | m3_1 # 10_64 | m3_1 # 10_64 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 24, 11, 23], [12, 20, 13, 19], [14, 22, 15, 21], [16, 7, 17, 8], [18, 25, 19, 26], [20, 14, 21, 13], [22, 10, 23, 9], [24, 12, 25, 11], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_64","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_64 | m3_1 # m10_64 | m3_1 # m10_64 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 23, 11, 24], [12, 19, 13, 20], [14, 21, 15, 22], [16, 8, 17, 7], [18, 26, 19, 25], [20, 13, 21, 14], [22, 9, 23, 10], [24, 11, 25, 12], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_64","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_65 | m3_1 # 10_65 | m3_1 # 10_65 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 22, 10, 23], [11, 20, 12, 21], [13, 17, 14, 16], [15, 9, 16, 8], [17, 24, 18, 25], [19, 26, 20, 7], [21, 10, 22, 11], [23, 12, 24, 13], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_65","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_65 | m3_1 # m10_65 | m3_1 # m10_65 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 23, 10, 22], [11, 21, 12, 20], [13, 16, 14, 17], [15, 8, 16, 9], [17, 25, 18, 24], [19, 7, 20, 26], [21, 11, 22, 10], [23, 13, 24, 12], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_65","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_66 | m3_1 # 10_66 | m3_1 # 10_66 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 19, 10, 18], [11, 25, 12, 24], [13, 21, 14, 20], [15, 11, 16, 10], [17, 9, 18, 8], [19, 23, 20, 22], [21, 15, 22, 14], [23, 7, 24, 26], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_66","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_66 | m3_1 # m10_66 | m3_1 # m10_66 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 18, 10, 19], [11, 24, 12, 25], [13, 20, 14, 21], [15, 10, 16, 11], [17, 8, 18, 9], [19, 22, 20, 23], [21, 14, 22, 15], [23, 26, 24, 7], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_66","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_67 | m3_1 # 10_67 | m3_1 # 10_67 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 8, 21], [9, 25, 10, 24], [11, 23, 12, 22], [13, 17, 14, 16], [15, 7, 16, 26], [17, 13, 18, 12], [19, 8, 20, 9], [21, 19, 22, 18], [23, 11, 24, 10], [25, 15, 26, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_67","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m3_1 # r10_67 | m3_1 # r10_67 | m3_1 # r10_67 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 7, 20], [10, 24, 9, 25], [12, 22, 11, 23], [14, 16, 13, 17], [16, 26, 15, 7], [18, 12, 17, 13], [20, 9, 19, 8], [22, 18, 21, 19], [24, 10, 23, 11], [26, 14, 25, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_67","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m3_1 # m10_67 | m3_1 # m10_67 | m3_1 # m10_67 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 8, 20], [9, 24, 10, 25], [11, 22, 12, 23], [13, 16, 14, 17], [15, 26, 16, 7], [17, 12, 18, 13], [19, 9, 20, 8], [21, 18, 22, 19], [23, 10, 24, 11], [25, 14, 26, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_67","mirror":true,"reverse":false}] | false | false | chiral | [] |
| m3_1 # mr10_67 | m3_1 # mr10_67 | m3_1 # mr10_67 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 7, 21], [10, 25, 9, 24], [12, 23, 11, 22], [14, 17, 13, 16], [16, 7, 15, 26], [18, 13, 17, 12], [20, 8, 19, 9], [22, 19, 21, 18], [24, 11, 23, 10], [26, 15, 25, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_67","mirror":true,"reverse":true}] | false | false | chiral | [] |
| m3_1 # 10_68 | m3_1 # 10_68 | m3_1 # 10_68 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 22, 10, 23], [11, 20, 12, 21], [13, 24, 14, 25], [15, 19, 16, 18], [17, 9, 18, 8], [19, 26, 20, 7], [21, 10, 22, 11], [23, 14, 24, 15], [25, 12, 26, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_68","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_68 | m3_1 # m10_68 | m3_1 # m10_68 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 23, 10, 22], [11, 21, 12, 20], [13, 25, 14, 24], [15, 18, 16, 19], [17, 8, 18, 9], [19, 7, 20, 26], [21, 11, 22, 10], [23, 15, 24, 14], [25, 13, 26, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_68","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_69 | m3_1 # 10_69 | m3_1 # 10_69 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 23, 11, 24], [12, 8, 13, 7], [14, 25, 15, 26], [16, 13, 17, 14], [18, 9, 19, 10], [20, 18, 21, 17], [22, 11, 23, 12], [24, 22, 25, 21], [26, 15, 7, 16]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_69","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_69 | m3_1 # m10_69 | m3_1 # m10_69 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 24, 11, 23], [12, 7, 13, 8], [14, 26, 15, 25], [16, 14, 17, 13], [18, 10, 19, 9], [20, 17, 21, 18], [22, 12, 23, 11], [24, 21, 25, 22], [26, 16, 7, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_69","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_70 | m3_1 # 10_70 | m3_1 # 10_70 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 17, 11, 18], [12, 19, 13, 20], [14, 26, 15, 25], [16, 13, 17, 14], [18, 11, 19, 12], [20, 24, 21, 23], [22, 7, 23, 8], [24, 16, 25, 15], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_70","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_70 | m3_1 # m10_70 | m3_1 # m10_70 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 22, 9, 21], [10, 18, 11, 17], [12, 20, 13, 19], [14, 25, 15, 26], [16, 14, 17, 13], [18, 12, 19, 11], [20, 23, 21, 24], [22, 8, 23, 7], [24, 15, 25, 16], [26, 9, 7, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_70","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_71 | m3_1 # 10_71 | m3_1 # 10_71 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 14, 10, 15], [17, 21, 18, 20], [11, 19, 12, 18], [19, 13, 20, 12], [15, 25, 16, 24], [21, 26, 22, 7], [25, 22, 26, 23], [23, 17, 24, 16], [13, 8, 14, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_71","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m10_71 | m3_1 # m10_71 | m3_1 # m10_71 | None | 13 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [17, 20, 18, 21], [11, 18, 12, 19], [19, 12, 20, 13], [15, 24, 16, 25], [21, 7, 22, 26], [25, 23, 26, 22], [23, 16, 24, 17], [13, 9, 14, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_71","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 10_72 | m3_1 # 10_72 | m3_1 # 10_72 | None | 13 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 21, 9, 22], [10, 18, 11, 17], [12, 20, 13, 19], [14, 24, 15, 23], [16, 14, 17, 13], [18, 12, 19, 11], [20, 26, 21, 25], [22, 7, 23, 8], [24, 16, 25, 15], [26, 10, 7, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"10_72","mirror":false,"reverse":false}] | false | true | reversible | [] |