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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| m5_1 # m8_11 | m5_1 # m8_11 | m5_1 # m8_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, 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":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_12 | m5_1 # 8_12 | m5_1 # 8_12 | None | 13 | true | composite | 1 | [[14, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [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":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_13 | m5_1 # 8_13 | m5_1 # 8_13 | 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, 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":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_13 | m5_1 # m8_13 | m5_1 # m8_13 | 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, 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":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_14 | m5_1 # 8_14 | m5_1 # 8_14 | 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, 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":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_14 | m5_1 # m8_14 | m5_1 # m8_14 | 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, 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":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_15 | m5_1 # 8_15 | m5_1 # 8_15 | 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, 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":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_15 | m5_1 # m8_15 | m5_1 # m8_15 | 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, 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":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_16 | m5_1 # 8_16 | m5_1 # 8_16 | 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, 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":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_16 | m5_1 # m8_16 | m5_1 # m8_16 | 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, 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":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_17 | m5_1 # 8_17 | m5_1 # 8_17 | 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], [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":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m5_1 # r8_17 | m5_1 # r8_17 | m5_1 # r8_17 | None | 13 | true | composite | 1 | [[17, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6], [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":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m5_1 # 8_18 | m5_1 # 8_18 | m5_1 # 8_18 | 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], [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":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_19 | m5_1 # 8_19 | m5_1 # 8_19 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_19 | m5_1 # m8_19 | m5_1 # m8_19 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_20 | m5_1 # 8_20 | m5_1 # 8_20 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_20 | m5_1 # m8_20 | m5_1 # m8_20 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_1 # 8_21 | m5_1 # 8_21 | m5_1 # 8_21 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_1 # m8_21 | m5_1 # m8_21 | m5_1 # m8_21 | None | None | false | 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], [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":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_1 | 5_2 # 8_1 | 5_2 # 8_1 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_1 | 5_2 # m8_1 | 5_2 # m8_1 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_2 | 5_2 # 8_2 | 5_2 # 8_2 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_2 | 5_2 # m8_2 | 5_2 # m8_2 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_3 | 5_2 # 8_3 | 5_2 # 8_3 | None | 13 | true | composite | 1 | [[16, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_4 | 5_2 # 8_4 | 5_2 # 8_4 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_4 | 5_2 # m8_4 | 5_2 # m8_4 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_5 | 5_2 # 8_5 | 5_2 # 8_5 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_5 | 5_2 # m8_5 | 5_2 # m8_5 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_6 | 5_2 # 8_6 | 5_2 # 8_6 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_6 | 5_2 # m8_6 | 5_2 # m8_6 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_7 | 5_2 # 8_7 | 5_2 # 8_7 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_7 | 5_2 # m8_7 | 5_2 # m8_7 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_8 | 5_2 # 8_8 | 5_2 # 8_8 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_8 | 5_2 # m8_8 | 5_2 # m8_8 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_9 | 5_2 # 8_9 | 5_2 # 8_9 | None | 13 | true | composite | 1 | [[16, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_10 | 5_2 # 8_10 | 5_2 # 8_10 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_10 | 5_2 # m8_10 | 5_2 # m8_10 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_11 | 5_2 # 8_11 | 5_2 # 8_11 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_11 | 5_2 # m8_11 | 5_2 # m8_11 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_12 | 5_2 # 8_12 | 5_2 # 8_12 | None | 13 | true | composite | 1 | [[14, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_13 | 5_2 # 8_13 | 5_2 # 8_13 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_13 | 5_2 # m8_13 | 5_2 # m8_13 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_14 | 5_2 # 8_14 | 5_2 # 8_14 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_14 | 5_2 # m8_14 | 5_2 # m8_14 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_15 | 5_2 # 8_15 | 5_2 # 8_15 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_15 | 5_2 # m8_15 | 5_2 # m8_15 | None | 13 | true | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_16 | 5_2 # 8_16 | 5_2 # 8_16 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_16 | 5_2 # m8_16 | 5_2 # m8_16 | None | 13 | true | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_17 | 5_2 # 8_17 | 5_2 # 8_17 | None | 13 | true | composite | 1 | [[16, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}] | false | false | chiral | [] |
| 5_2 # r8_17 | 5_2 # r8_17 | 5_2 # r8_17 | None | 13 | true | composite | 1 | [[17, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}] | false | false | chiral | [] |
| 5_2 # 8_18 | 5_2 # 8_18 | 5_2 # 8_18 | None | 13 | true | composite | 1 | [[16, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_19 | 5_2 # 8_19 | 5_2 # 8_19 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_19 | 5_2 # m8_19 | 5_2 # m8_19 | None | None | false | composite | 1 | [[12, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_20 | 5_2 # 8_20 | 5_2 # 8_20 | None | None | false | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_20 | 5_2 # m8_20 | 5_2 # m8_20 | None | None | false | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 5_2 # 8_21 | 5_2 # 8_21 | 5_2 # 8_21 | None | None | false | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 5_2 # m8_21 | 5_2 # m8_21 | 5_2 # m8_21 | None | None | false | composite | 1 | [[11, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6], [1, 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_2","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_1 | m5_2 # 8_1 | m5_2 # 8_1 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_1 | m5_2 # m8_1 | m5_2 # m8_1 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_2 | m5_2 # 8_2 | m5_2 # 8_2 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_2 | m5_2 # m8_2 | m5_2 # m8_2 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_3 | m5_2 # 8_3 | m5_2 # 8_3 | None | 13 | true | composite | 1 | [[16, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_4 | m5_2 # 8_4 | m5_2 # 8_4 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_4 | m5_2 # m8_4 | m5_2 # m8_4 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_5 | m5_2 # 8_5 | m5_2 # 8_5 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_5 | m5_2 # m8_5 | m5_2 # m8_5 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_6 | m5_2 # 8_6 | m5_2 # 8_6 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_6 | m5_2 # m8_6 | m5_2 # m8_6 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_7 | m5_2 # 8_7 | m5_2 # 8_7 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_7 | m5_2 # m8_7 | m5_2 # m8_7 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_8 | m5_2 # 8_8 | m5_2 # 8_8 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_8 | m5_2 # m8_8 | m5_2 # m8_8 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_9 | m5_2 # 8_9 | m5_2 # 8_9 | None | 13 | true | composite | 1 | [[16, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_10 | m5_2 # 8_10 | m5_2 # 8_10 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_10 | m5_2 # m8_10 | m5_2 # m8_10 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_11 | m5_2 # 8_11 | m5_2 # 8_11 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_11 | m5_2 # m8_11 | m5_2 # m8_11 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_12 | m5_2 # 8_12 | m5_2 # 8_12 | None | 13 | true | composite | 1 | [[14, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_13 | m5_2 # 8_13 | m5_2 # 8_13 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_13 | m5_2 # m8_13 | m5_2 # m8_13 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_14 | m5_2 # 8_14 | m5_2 # 8_14 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_14 | m5_2 # m8_14 | m5_2 # m8_14 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_15 | m5_2 # 8_15 | m5_2 # 8_15 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_15 | m5_2 # m8_15 | m5_2 # m8_15 | None | 13 | true | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_16 | m5_2 # 8_16 | m5_2 # 8_16 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_16 | m5_2 # m8_16 | m5_2 # m8_16 | None | 13 | true | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_17 | m5_2 # 8_17 | m5_2 # 8_17 | None | 13 | true | composite | 1 | [[16, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}] | false | false | chiral | [] |
| m5_2 # r8_17 | m5_2 # r8_17 | m5_2 # r8_17 | None | 13 | true | composite | 1 | [[17, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}] | false | false | chiral | [] |
| m5_2 # 8_18 | m5_2 # 8_18 | m5_2 # 8_18 | None | 13 | true | composite | 1 | [[16, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_19 | m5_2 # 8_19 | m5_2 # 8_19 | None | None | false | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_19 | m5_2 # m8_19 | m5_2 # m8_19 | None | None | false | composite | 1 | [[12, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_20 | m5_2 # 8_20 | m5_2 # 8_20 | None | None | false | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_20 | m5_2 # m8_20 | m5_2 # m8_20 | None | None | false | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m5_2 # 8_21 | m5_2 # 8_21 | m5_2 # 8_21 | None | None | false | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m5_2 # m8_21 | m5_2 # m8_21 | m5_2 # m8_21 | None | None | false | composite | 1 | [[11, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7], [1, 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_2","mirror":true,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 6_1 # 7_1 | 6_1 # 7_1 | 6_1 # 7_1 | None | 13 | true | composite | 1 | [[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 14, 20], [15, 23, 16, 22], [17, 25, 18, 24], [19, 13, 20, 26], [21, 15, 22, 14], [23, 17, 24, 16], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 6_1 # m7_1 | 6_1 # m7_1 | 6_1 # m7_1 | None | 13 | true | composite | 1 | [[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 20, 14, 21], [15, 22, 16, 23], [17, 24, 18, 25], [19, 26, 20, 13], [21, 14, 22, 15], [23, 16, 24, 17], [25, 18, 26, 19]] | derived_connected_sum | [{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"7_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 6_1 # 7_2 | 6_1 # 7_2 | 6_1 # 7_2 | None | 13 | true | composite | 1 | [[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 22, 15, 21], [16, 26, 17, 25], [18, 24, 19, 23], [20, 14, 21, 13], [22, 20, 23, 19], [24, 18, 25, 17], [26, 16, 13, 15]] | derived_connected_sum | [{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 6_1 # m7_2 | 6_1 # m7_2 | 6_1 # m7_2 | None | 13 | true | composite | 1 | [[14, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 15, 22], [16, 25, 17, 26], [18, 23, 19, 24], [20, 13, 21, 14], [22, 19, 23, 20], [24, 17, 25, 18], [26, 15, 13, 16]] | derived_connected_sum | [{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"7_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 6_1 # 7_3 | 6_1 # 7_3 | 6_1 # 7_3 | None | 13 | true | composite | 1 | [[13, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8], [1, 21, 14, 20], [15, 23, 16, 22], [17, 13, 18, 26], [19, 25, 20, 24], [21, 15, 22, 14], [23, 17, 24, 16], [25, 19, 26, 18]] | derived_connected_sum | [{"knot_id":"6_1","mirror":false,"reverse":false},{"knot_id":"7_3","mirror":false,"reverse":false}] | false | true | reversible | [] |