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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0_1 | 0_1 | 0_1 | 0_1 | 0 | true | unknot | 1 | [] | spreadsheet | sample_dat!row=3 | true | true | unknot (elementary) | [] |
| 3_1 | 3_1 | 3_1 | 3a_1 | 3 | true | prime | 1 | [[1, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2]] | spreadsheet | sample_dat!row=4 | false | true | reversible | [] |
| m3_1 | m3_1 | m3_1 | m3a_1 | 3 | true | prime | 1 | [[1, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3]] | derived_mirror | 3_1 | false | true | reversible | [] |
| 4_1 | 4_1 | 4_1 | 4a_1 | 4 | true | prime | 1 | [[4, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8]] | spreadsheet | sample_dat!row=5 | true | true | fully amphicheiral | [] |
| 5_1 | 5_1 | 5_1 | 5a_2 | 5 | true | prime | 1 | [[2, 8, 3, 7], [4, 10, 5, 9], [6, 2, 7, 1], [8, 4, 9, 3], [10, 6, 1, 5]] | spreadsheet | sample_dat!row=6 | false | true | reversible | [] |
| m5_1 | m5_1 | m5_1 | m5a_2 | 5 | true | prime | 1 | [[2, 7, 3, 8], [4, 9, 5, 10], [6, 1, 7, 2], [8, 3, 9, 4], [10, 5, 1, 6]] | derived_mirror | 5_1 | false | true | reversible | [] |
| 5_2 | 5_2 | 5_2 | 5a_1 | 5 | true | prime | 1 | [[1, 5, 2, 4], [3, 9, 4, 8], [5, 1, 6, 10], [7, 3, 8, 2], [9, 7, 10, 6]] | spreadsheet | sample_dat!row=7 | false | true | reversible | [] |
| m5_2 | m5_2 | m5_2 | m5a_1 | 5 | true | prime | 1 | [[1, 4, 2, 5], [3, 8, 4, 9], [5, 10, 6, 1], [7, 2, 8, 3], [9, 6, 10, 7]] | derived_mirror | 5_2 | false | true | reversible | [] |
| 3_1 # 3_1 | 3_1 # 3_1 | 3_1 # 3_1 | None | 6 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 | 3_1 # m3_1 | 3_1 # m3_1 | None | 6 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | true | true | fully amphicheiral | [] |
| m3_1 # m3_1 | m3_1 # m3_1 | m3_1 # m3_1 | None | 6 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 6_1 | 6_1 | 6_1 | 6a_3 | 6 | true | prime | 1 | [[1, 7, 2, 6], [3, 10, 4, 11], [5, 3, 6, 2], [7, 1, 8, 12], [9, 4, 10, 5], [11, 9, 12, 8]] | spreadsheet | sample_dat!row=8 | false | true | reversible | [] |
| m6_1 | m6_1 | m6_1 | m6a_3 | 6 | true | prime | 1 | [[1, 6, 2, 7], [3, 11, 4, 10], [5, 2, 6, 3], [7, 12, 8, 1], [9, 5, 10, 4], [11, 8, 12, 9]] | derived_mirror | 6_1 | false | true | reversible | [] |
| 6_2 | 6_2 | 6_2 | 6a_2 | 6 | true | prime | 1 | [[1, 8, 2, 9], [3, 11, 4, 10], [5, 1, 6, 12], [7, 2, 8, 3], [9, 7, 10, 6], [11, 5, 12, 4]] | spreadsheet | sample_dat!row=9 | false | true | reversible | [] |
| m6_2 | m6_2 | m6_2 | m6a_2 | 6 | true | prime | 1 | [[1, 9, 2, 8], [3, 10, 4, 11], [5, 12, 6, 1], [7, 3, 8, 2], [9, 6, 10, 7], [11, 4, 12, 5]] | derived_mirror | 6_2 | false | true | reversible | [] |
| 6_3 | 6_3 | 6_3 | 6a_1 | 6 | true | prime | 1 | [[4, 2, 5, 1], [8, 4, 9, 3], [12, 9, 1, 10], [10, 5, 11, 6], [6, 11, 7, 12], [2, 8, 3, 7]] | spreadsheet | sample_dat!row=10 | true | true | fully amphicheiral | [] |
| 3_1 # 4_1 | 3_1 # 4_1 | 3_1 # 4_1 | None | 7 | true | composite | 1 | [[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 4_1 | m3_1 # 4_1 | m3_1 # 4_1 | None | 7 | true | composite | 1 | [[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 7_1 | 7_1 | 7_1 | 7a_7 | 7 | true | prime | 1 | [[1, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 1, 8, 14], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6]] | spreadsheet | sample_dat!row=11 | false | true | reversible | [] |
| m7_1 | m7_1 | m7_1 | m7a_7 | 7 | true | prime | 1 | [[1, 8, 2, 9], [3, 10, 4, 11], [5, 12, 6, 13], [7, 14, 8, 1], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7]] | derived_mirror | 7_1 | false | true | reversible | [] |
| 7_2 | 7_2 | 7_2 | 7a_4 | 7 | true | prime | 1 | [[2, 10, 3, 9], [4, 14, 5, 13], [6, 12, 7, 11], [8, 2, 9, 1], [10, 8, 11, 7], [12, 6, 13, 5], [14, 4, 1, 3]] | spreadsheet | sample_dat!row=12 | false | true | reversible | [] |
| m7_2 | m7_2 | m7_2 | m7a_4 | 7 | true | prime | 1 | [[2, 9, 3, 10], [4, 13, 5, 14], [6, 11, 7, 12], [8, 1, 9, 2], [10, 7, 11, 8], [12, 5, 13, 6], [14, 3, 1, 4]] | derived_mirror | 7_2 | false | true | reversible | [] |
| 7_3 | 7_3 | 7_3 | 7a_5 | 7 | true | prime | 1 | [[1, 9, 2, 8], [3, 11, 4, 10], [5, 1, 6, 14], [7, 13, 8, 12], [9, 3, 10, 2], [11, 5, 12, 4], [13, 7, 14, 6]] | spreadsheet | sample_dat!row=13 | false | true | reversible | [] |
| m7_3 | m7_3 | m7_3 | m7a_5 | 7 | true | prime | 1 | [[1, 8, 2, 9], [3, 10, 4, 11], [5, 14, 6, 1], [7, 12, 8, 13], [9, 2, 10, 3], [11, 4, 12, 5], [13, 6, 14, 7]] | derived_mirror | 7_3 | false | true | reversible | [] |
| 7_4 | 7_4 | 7_4 | 7a_6 | 7 | true | prime | 1 | [[2, 10, 3, 9], [4, 12, 5, 11], [6, 14, 7, 13], [8, 4, 9, 3], [10, 2, 11, 1], [12, 8, 13, 7], [14, 6, 1, 5]] | spreadsheet | sample_dat!row=14 | false | true | reversible | [] |
| m7_4 | m7_4 | m7_4 | m7a_6 | 7 | true | prime | 1 | [[2, 9, 3, 10], [4, 11, 5, 12], [6, 13, 7, 14], [8, 3, 9, 4], [10, 1, 11, 2], [12, 7, 13, 8], [14, 5, 1, 6]] | derived_mirror | 7_4 | false | true | reversible | [] |
| 7_5 | 7_5 | 7_5 | 7a_3 | 7 | true | prime | 1 | [[2, 10, 3, 9], [4, 2, 5, 1], [6, 14, 7, 13], [8, 12, 9, 11], [10, 4, 11, 3], [12, 6, 13, 5], [14, 8, 1, 7]] | spreadsheet | sample_dat!row=15 | false | true | reversible | [] |
| m7_5 | m7_5 | m7_5 | m7a_3 | 7 | true | prime | 1 | [[2, 9, 3, 10], [4, 1, 5, 2], [6, 13, 7, 14], [8, 11, 9, 12], [10, 3, 11, 4], [12, 5, 13, 6], [14, 7, 1, 8]] | derived_mirror | 7_5 | false | true | reversible | [] |
| 7_6 | 7_6 | 7_6 | 7a_2 | 7 | true | prime | 1 | [[1, 13, 2, 12], [3, 9, 4, 8], [5, 1, 6, 14], [7, 10, 8, 11], [9, 3, 10, 2], [11, 6, 12, 7], [13, 5, 14, 4]] | spreadsheet | sample_dat!row=16 | false | true | reversible | [] |
| m7_6 | m7_6 | m7_6 | m7a_2 | 7 | true | prime | 1 | [[1, 12, 2, 13], [3, 8, 4, 9], [5, 14, 6, 1], [7, 11, 8, 10], [9, 2, 10, 3], [11, 7, 12, 6], [13, 4, 14, 5]] | derived_mirror | 7_6 | false | true | reversible | [] |
| 7_7 | 7_7 | 7_7 | 7a_1 | 7 | true | prime | 1 | [[1, 10, 2, 11], [3, 13, 4, 12], [5, 14, 6, 1], [7, 5, 8, 4], [9, 2, 10, 3], [11, 9, 12, 8], [13, 6, 14, 7]] | spreadsheet | sample_dat!row=17 | false | true | reversible | [] |
| m7_7 | m7_7 | m7_7 | m7a_1 | 7 | true | prime | 1 | [[1, 11, 2, 10], [3, 12, 4, 13], [5, 1, 6, 14], [7, 4, 8, 5], [9, 3, 10, 2], [11, 8, 12, 9], [13, 7, 14, 6]] | derived_mirror | 7_7 | false | true | reversible | [] |
| 3_1 # 5_1 | 3_1 # 5_1 | 3_1 # 5_1 | None | 8 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m5_1 | 3_1 # m5_1 | 3_1 # m5_1 | None | 8 | true | composite | 1 | [[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 5_2 | 3_1 # 5_2 | 3_1 # 5_2 | None | 8 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m5_2 | 3_1 # m5_2 | 3_1 # m5_2 | None | 8 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 5_1 | m3_1 # 5_1 | m3_1 # 5_1 | None | 8 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 9, 13], [10, 16, 11, 15], [12, 8, 13, 7], [14, 10, 15, 9], [16, 12, 7, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m5_1 | m3_1 # m5_1 | m3_1 # m5_1 | None | 8 | true | composite | 1 | [[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 9, 14], [10, 15, 11, 16], [12, 7, 13, 8], [14, 9, 15, 10], [16, 11, 7, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 5_2 | m3_1 # 5_2 | m3_1 # 5_2 | None | 8 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 11, 8, 10], [9, 15, 10, 14], [11, 7, 12, 16], [13, 9, 14, 8], [15, 13, 16, 12]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m5_2 | m3_1 # m5_2 | m3_1 # m5_2 | None | 8 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 14, 10, 15], [11, 16, 12, 7], [13, 8, 14, 9], [15, 12, 16, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 4_1 | 4_1 # 4_1 | 4_1 # 4_1 | None | 8 | true | composite | 1 | [[12, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 10, 13, 9], [16, 14, 9, 13], [14, 11, 15, 12], [10, 15, 11, 16]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}] | true | true | fully amphicheiral | [] |
| 8_1 | 8_1 | 8_1 | 8a_11 | 8 | true | prime | 1 | [[1, 9, 2, 8], [3, 7, 4, 6], [5, 12, 6, 13], [7, 3, 8, 2], [9, 1, 10, 16], [11, 15, 12, 14], [13, 4, 14, 5], [15, 11, 16, 10]] | spreadsheet | sample_dat!row=18 | false | true | reversible | [] |
| m8_1 | m8_1 | m8_1 | m8a_11 | 8 | true | prime | 1 | [[1, 8, 2, 9], [3, 6, 4, 7], [5, 13, 6, 12], [7, 2, 8, 3], [9, 16, 10, 1], [11, 14, 12, 15], [13, 5, 14, 4], [15, 10, 16, 11]] | derived_mirror | 8_1 | false | true | reversible | [] |
| 8_2 | 8_2 | 8_2 | 8a_8 | 8 | true | prime | 1 | [[1, 10, 2, 11], [3, 13, 4, 12], [5, 15, 6, 14], [7, 1, 8, 16], [9, 2, 10, 3], [11, 9, 12, 8], [13, 5, 14, 4], [15, 7, 16, 6]] | spreadsheet | sample_dat!row=19 | false | true | reversible | [] |
| m8_2 | m8_2 | m8_2 | m8a_8 | 8 | true | prime | 1 | [[1, 11, 2, 10], [3, 12, 4, 13], [5, 14, 6, 15], [7, 16, 8, 1], [9, 3, 10, 2], [11, 8, 12, 9], [13, 4, 14, 5], [15, 6, 16, 7]] | derived_mirror | 8_2 | false | true | reversible | [] |
| 8_3 | 8_3 | 8_3 | 8a_18 | 8 | true | prime | 1 | [[6, 2, 7, 1], [14, 10, 15, 9], [10, 5, 11, 6], [12, 3, 13, 4], [4, 11, 5, 12], [2, 13, 3, 14], [16, 8, 1, 7], [8, 16, 9, 15]] | spreadsheet | sample_dat!row=20 | true | true | fully amphicheiral | [] |
| 8_4 | 8_4 | 8_4 | 8a_17 | 8 | true | prime | 1 | [[2, 11, 3, 12], [4, 9, 5, 10], [6, 16, 7, 15], [8, 14, 9, 13], [10, 1, 11, 2], [12, 3, 13, 4], [14, 8, 15, 7], [16, 6, 1, 5]] | spreadsheet | sample_dat!row=21 | false | true | reversible | [] |
| m8_4 | m8_4 | m8_4 | m8a_17 | 8 | true | prime | 1 | [[2, 12, 3, 11], [4, 10, 5, 9], [6, 15, 7, 16], [8, 13, 9, 14], [10, 2, 11, 1], [12, 4, 13, 3], [14, 7, 15, 8], [16, 5, 1, 6]] | derived_mirror | 8_4 | false | true | reversible | [] |
| 8_5 | 8_5 | 8_5 | 8a_13 | 8 | true | prime | 1 | [[1, 7, 2, 6], [3, 9, 4, 8], [5, 12, 6, 13], [7, 3, 8, 2], [9, 15, 10, 14], [11, 1, 12, 16], [13, 4, 14, 5], [15, 11, 16, 10]] | spreadsheet | sample_dat!row=22 | false | true | reversible | [] |
| m8_5 | m8_5 | m8_5 | m8a_13 | 8 | true | prime | 1 | [[1, 6, 2, 7], [3, 8, 4, 9], [5, 13, 6, 12], [7, 2, 8, 3], [9, 14, 10, 15], [11, 16, 12, 1], [13, 5, 14, 4], [15, 10, 16, 11]] | derived_mirror | 8_5 | false | true | reversible | [] |
| 8_6 | 8_6 | 8_6 | 8a_10 | 8 | true | prime | 1 | [[2, 9, 3, 10], [4, 14, 5, 13], [6, 16, 7, 15], [8, 12, 9, 11], [10, 1, 11, 2], [12, 8, 13, 7], [14, 6, 15, 5], [16, 4, 1, 3]] | spreadsheet | sample_dat!row=23 | false | true | reversible | [] |
| m8_6 | m8_6 | m8_6 | m8a_10 | 8 | true | prime | 1 | [[2, 10, 3, 9], [4, 13, 5, 14], [6, 15, 7, 16], [8, 11, 9, 12], [10, 2, 11, 1], [12, 7, 13, 8], [14, 5, 15, 6], [16, 3, 1, 4]] | derived_mirror | 8_6 | false | true | reversible | [] |
| 8_7 | 8_7 | 8_7 | 8a_6 | 8 | true | prime | 1 | [[2, 9, 3, 10], [4, 14, 5, 13], [6, 15, 7, 16], [8, 1, 9, 2], [10, 5, 11, 6], [12, 4, 13, 3], [14, 12, 15, 11], [16, 7, 1, 8]] | spreadsheet | sample_dat!row=24 | false | true | reversible | [] |
| m8_7 | m8_7 | m8_7 | m8a_6 | 8 | true | prime | 1 | [[2, 10, 3, 9], [4, 13, 5, 14], [6, 16, 7, 15], [8, 2, 9, 1], [10, 6, 11, 5], [12, 3, 13, 4], [14, 11, 15, 12], [16, 8, 1, 7]] | derived_mirror | 8_7 | false | true | reversible | [] |
| 8_8 | 8_8 | 8_8 | 8a_4 | 8 | true | prime | 1 | [[1, 7, 2, 6], [3, 12, 4, 13], [5, 9, 6, 8], [7, 3, 8, 2], [9, 16, 10, 1], [11, 14, 12, 15], [13, 4, 14, 5], [15, 10, 16, 11]] | spreadsheet | sample_dat!row=25 | false | true | reversible | [] |
| m8_8 | m8_8 | m8_8 | m8a_4 | 8 | true | prime | 1 | [[1, 6, 2, 7], [3, 13, 4, 12], [5, 8, 6, 9], [7, 2, 8, 3], [9, 1, 10, 16], [11, 15, 12, 14], [13, 5, 14, 4], [15, 11, 16, 10]] | derived_mirror | 8_8 | false | true | reversible | [] |
| 8_9 | 8_9 | 8_9 | 8a_16 | 8 | true | prime | 1 | [[6, 2, 7, 1], [14, 8, 15, 7], [10, 3, 11, 4], [2, 13, 3, 14], [12, 5, 13, 6], [4, 11, 5, 12], [16, 10, 1, 9], [8, 16, 9, 15]] | spreadsheet | sample_dat!row=26 | true | true | fully amphicheiral | [] |
| 8_10 | 8_10 | 8_10 | 8a_3 | 8 | true | prime | 1 | [[2, 14, 3, 13], [4, 9, 5, 10], [6, 11, 7, 12], [8, 15, 9, 16], [10, 5, 11, 6], [12, 2, 13, 1], [14, 7, 15, 8], [16, 4, 1, 3]] | spreadsheet | sample_dat!row=27 | false | true | reversible | [] |
| m8_10 | m8_10 | m8_10 | m8a_3 | 8 | true | prime | 1 | [[2, 13, 3, 14], [4, 10, 5, 9], [6, 12, 7, 11], [8, 16, 9, 15], [10, 6, 11, 5], [12, 1, 13, 2], [14, 8, 15, 7], [16, 3, 1, 4]] | derived_mirror | 8_10 | false | true | reversible | [] |
| 8_11 | 8_11 | 8_11 | 8a_9 | 8 | true | prime | 1 | [[1, 10, 2, 11], [3, 13, 4, 12], [5, 15, 6, 14], [7, 1, 8, 16], [9, 2, 10, 3], [11, 9, 12, 8], [13, 7, 14, 6], [15, 5, 16, 4]] | spreadsheet | sample_dat!row=28 | false | true | reversible | [] |
| m8_11 | m8_11 | m8_11 | m8a_9 | 8 | true | prime | 1 | [[1, 11, 2, 10], [3, 12, 4, 13], [5, 14, 6, 15], [7, 16, 8, 1], [9, 3, 10, 2], [11, 8, 12, 9], [13, 6, 14, 7], [15, 4, 16, 5]] | derived_mirror | 8_11 | false | true | reversible | [] |
| 8_12 | 8_12 | 8_12 | 8a_5 | 8 | true | prime | 1 | [[4, 2, 5, 1], [10, 8, 11, 7], [8, 3, 9, 4], [2, 9, 3, 10], [14, 6, 15, 5], [16, 11, 1, 12], [12, 15, 13, 16], [6, 14, 7, 13]] | spreadsheet | sample_dat!row=29 | true | true | fully amphicheiral | [] |
| 8_13 | 8_13 | 8_13 | 8a_7 | 8 | true | prime | 1 | [[1, 9, 2, 8], [3, 14, 4, 15], [5, 12, 6, 13], [7, 11, 8, 10], [9, 3, 10, 2], [11, 16, 12, 1], [13, 4, 14, 5], [15, 6, 16, 7]] | spreadsheet | sample_dat!row=30 | false | true | reversible | [] |
| m8_13 | m8_13 | m8_13 | m8a_7 | 8 | true | prime | 1 | [[1, 8, 2, 9], [3, 15, 4, 14], [5, 13, 6, 12], [7, 10, 8, 11], [9, 2, 10, 3], [11, 1, 12, 16], [13, 5, 14, 4], [15, 7, 16, 6]] | derived_mirror | 8_13 | false | true | reversible | [] |
| 8_14 | 8_14 | 8_14 | 8a_1 | 8 | true | prime | 1 | [[2, 12, 3, 11], [4, 8, 5, 7], [6, 15, 7, 16], [8, 14, 9, 13], [10, 2, 11, 1], [12, 10, 13, 9], [14, 4, 15, 3], [16, 5, 1, 6]] | spreadsheet | sample_dat!row=31 | false | true | reversible | [] |
| m8_14 | m8_14 | m8_14 | m8a_1 | 8 | true | prime | 1 | [[2, 11, 3, 12], [4, 7, 5, 8], [6, 16, 7, 15], [8, 13, 9, 14], [10, 1, 11, 2], [12, 9, 13, 10], [14, 3, 15, 4], [16, 6, 1, 5]] | derived_mirror | 8_14 | false | true | reversible | [] |
| 8_15 | 8_15 | 8_15 | 8a_2 | 8 | true | prime | 1 | [[1, 7, 2, 6], [3, 15, 4, 14], [5, 9, 6, 8], [7, 3, 8, 2], [9, 13, 10, 12], [11, 1, 12, 16], [13, 5, 14, 4], [15, 11, 16, 10]] | spreadsheet | sample_dat!row=32 | false | true | reversible | [] |
| m8_15 | m8_15 | m8_15 | m8a_2 | 8 | true | prime | 1 | [[1, 6, 2, 7], [3, 14, 4, 15], [5, 8, 6, 9], [7, 2, 8, 3], [9, 12, 10, 13], [11, 16, 12, 1], [13, 4, 14, 5], [15, 10, 16, 11]] | derived_mirror | 8_15 | false | true | reversible | [] |
| 8_16 | 8_16 | 8_16 | 8a_15 | 8 | true | prime | 1 | [[2, 7, 3, 8], [4, 10, 5, 9], [6, 1, 7, 2], [8, 14, 9, 13], [10, 15, 11, 16], [12, 6, 13, 5], [14, 3, 15, 4], [16, 11, 1, 12]] | spreadsheet | sample_dat!row=33 | false | true | reversible | [] |
| m8_16 | m8_16 | m8_16 | m8a_15 | 8 | true | prime | 1 | [[2, 8, 3, 7], [4, 9, 5, 10], [6, 2, 7, 1], [8, 13, 9, 14], [10, 16, 11, 15], [12, 5, 13, 6], [14, 4, 15, 3], [16, 12, 1, 11]] | derived_mirror | 8_16 | false | true | reversible | [] |
| 8_17 | 8_17 | 8_17 | 8a_14 | 8 | true | prime | 1 | [[6, 2, 7, 1], [14, 8, 15, 7], [8, 3, 9, 4], [2, 13, 3, 14], [12, 5, 13, 6], [4, 9, 5, 10], [16, 12, 1, 11], [10, 16, 11, 15]] | spreadsheet | sample_dat!row=34 | true | false | negative amphicheiral | [] |
| r8_17 | r8_17 | r8_17 | r8a_14 | 8 | true | prime | 1 | [[7, 1, 6, 2], [15, 7, 14, 8], [9, 4, 8, 3], [3, 14, 2, 13], [13, 6, 12, 5], [5, 10, 4, 9], [1, 11, 16, 12], [11, 15, 10, 16]] | derived_reverse | 8_17 | true | false | negative amphicheiral | [] |
| 8_18 | 8_18 | 8_18 | 8a_12 | 8 | true | prime | 1 | [[6, 2, 7, 1], [8, 3, 9, 4], [16, 11, 1, 12], [2, 14, 3, 13], [4, 15, 5, 16], [10, 6, 11, 5], [12, 7, 13, 8], [14, 10, 15, 9]] | spreadsheet | sample_dat!row=35 | true | true | fully amphicheiral | [] |
| 8_19 | 8_19 | 8_19 | 8n_3 | 8 | false | prime | 1 | [[2, 14, 3, 13], [5, 11, 6, 10], [7, 15, 8, 14], [9, 5, 10, 4], [11, 7, 12, 6], [12, 2, 13, 1], [15, 9, 16, 8], [16, 4, 1, 3]] | spreadsheet | sample_dat!row=36 | false | true | reversible | [] |
| m8_19 | m8_19 | m8_19 | m8n_3 | 8 | false | prime | 1 | [[2, 13, 3, 14], [5, 10, 6, 11], [7, 14, 8, 15], [9, 4, 10, 5], [11, 6, 12, 7], [12, 1, 13, 2], [15, 8, 16, 9], [16, 3, 1, 4]] | derived_mirror | 8_19 | false | true | reversible | [] |
| 8_20 | 8_20 | 8_20 | 8n_1 | 8 | false | prime | 1 | [[1, 7, 2, 6], [4, 13, 5, 14], [5, 9, 6, 8], [7, 3, 8, 2], [10, 15, 11, 16], [12, 9, 13, 10], [14, 3, 15, 4], [16, 11, 1, 12]] | spreadsheet | sample_dat!row=37 | false | true | reversible | [] |
| m8_20 | m8_20 | m8_20 | m8n_1 | 8 | false | prime | 1 | [[1, 6, 2, 7], [4, 14, 5, 13], [5, 8, 6, 9], [7, 2, 8, 3], [10, 16, 11, 15], [12, 10, 13, 9], [14, 4, 15, 3], [16, 12, 1, 11]] | derived_mirror | 8_20 | false | true | reversible | [] |
| 8_21 | 8_21 | 8_21 | 8n_2 | 8 | false | prime | 1 | [[1, 7, 2, 6], [4, 13, 5, 14], [5, 9, 6, 8], [7, 3, 8, 2], [9, 13, 10, 12], [11, 1, 12, 16], [14, 3, 15, 4], [15, 11, 16, 10]] | spreadsheet | sample_dat!row=38 | false | true | reversible | [] |
| m8_21 | m8_21 | m8_21 | m8n_2 | 8 | false | prime | 1 | [[1, 6, 2, 7], [4, 14, 5, 13], [5, 8, 6, 9], [7, 2, 8, 3], [9, 12, 10, 13], [11, 16, 12, 1], [14, 4, 15, 3], [15, 10, 16, 11]] | derived_mirror | 8_21 | false | true | reversible | [] |
| 3_1 # 3_1 # 3_1 | 3_1 # 3_1 # 3_1 | 3_1 # 3_1 # 3_1 | None | 9 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 17, 14, 16], [15, 13, 16, 18], [17, 15, 18, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 3_1 # m3_1 | 3_1 # 3_1 # m3_1 | 3_1 # 3_1 # m3_1 | None | 9 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m3_1 # m3_1 | 3_1 # m3_1 # m3_1 | 3_1 # m3_1 # m3_1 | None | 9 | true | composite | 1 | [[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 6_1 | 3_1 # 6_1 | 3_1 # 6_1 | None | 9 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [9, 16, 10, 17], [11, 9, 12, 8], [13, 7, 14, 18], [15, 10, 16, 11], [17, 15, 18, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m6_1 | 3_1 # m6_1 | 3_1 # m6_1 | None | 9 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [9, 17, 10, 16], [11, 8, 12, 9], [13, 18, 14, 7], [15, 11, 16, 10], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 6_2 | 3_1 # 6_2 | 3_1 # 6_2 | None | 9 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 8, 15], [9, 17, 10, 16], [11, 7, 12, 18], [13, 8, 14, 9], [15, 13, 16, 12], [17, 11, 18, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 3_1 # m6_2 | 3_1 # m6_2 | 3_1 # m6_2 | None | 9 | true | composite | 1 | [[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 8, 14], [9, 16, 10, 17], [11, 18, 12, 7], [13, 9, 14, 8], [15, 12, 16, 13], [17, 10, 18, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 3_1 # 6_3 | 3_1 # 6_3 | 3_1 # 6_3 | None | 9 | true | composite | 1 | [[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 10, 15, 9], [18, 15, 7, 16], [16, 11, 17, 12], [12, 17, 13, 18], [8, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m3_1 # m3_1 | m3_1 # m3_1 # m3_1 | m3_1 # m3_1 # m3_1 | None | 9 | true | composite | 1 | [[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 18, 16, 13], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 6_1 | m3_1 # 6_1 | m3_1 # 6_1 | None | 9 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 16, 10, 17], [11, 9, 12, 8], [13, 7, 14, 18], [15, 10, 16, 11], [17, 15, 18, 14]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m6_1 | m3_1 # m6_1 | m3_1 # m6_1 | None | 9 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 17, 10, 16], [11, 8, 12, 9], [13, 18, 14, 7], [15, 11, 16, 10], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 6_2 | m3_1 # 6_2 | m3_1 # 6_2 | None | 9 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 17, 10, 16], [11, 7, 12, 18], [13, 8, 14, 9], [15, 13, 16, 12], [17, 11, 18, 10]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| m3_1 # m6_2 | m3_1 # m6_2 | m3_1 # m6_2 | None | 9 | true | composite | 1 | [[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 16, 10, 17], [11, 18, 12, 7], [13, 9, 14, 8], [15, 12, 16, 13], [17, 10, 18, 11]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| m3_1 # 6_3 | m3_1 # 6_3 | m3_1 # 6_3 | None | 9 | true | composite | 1 | [[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 10, 15, 9], [18, 15, 7, 16], [16, 11, 17, 12], [12, 17, 13, 18], [8, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"6_3","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 5_1 | 4_1 # 5_1 | 4_1 # 5_1 | None | 9 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 16, 11, 15], [12, 18, 13, 17], [14, 10, 15, 9], [16, 12, 17, 11], [18, 14, 9, 13]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m5_1 | 4_1 # m5_1 | 4_1 # m5_1 | None | 9 | true | composite | 1 | [[10, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 15, 11, 16], [12, 17, 13, 18], [14, 9, 15, 10], [16, 11, 17, 12], [18, 13, 9, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 4_1 # 5_2 | 4_1 # 5_2 | 4_1 # 5_2 | None | 9 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 13, 10, 12], [11, 17, 12, 16], [13, 9, 14, 18], [15, 11, 16, 10], [17, 15, 18, 14]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}] | false | true | reversible | [] |
| 4_1 # m5_2 | 4_1 # m5_2 | 4_1 # m5_2 | None | 9 | true | composite | 1 | [[9, 2, 5, 1], [8, 6, 1, 5], [6, 3, 7, 4], [2, 7, 3, 8], [4, 12, 10, 13], [11, 16, 12, 17], [13, 18, 14, 9], [15, 10, 16, 11], [17, 14, 18, 15]] | derived_connected_sum | [{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}] | false | true | reversible | [] |
| 9_1 | 9_1 | 9_1 | 9a_41 | 9 | true | prime | 1 | [[1, 11, 2, 10], [3, 13, 4, 12], [5, 15, 6, 14], [7, 17, 8, 16], [9, 1, 10, 18], [11, 3, 12, 2], [13, 5, 14, 4], [15, 7, 16, 6], [17, 9, 18, 8]] | spreadsheet | sample_dat!row=39 | false | true | reversible | [] |
| m9_1 | m9_1 | m9_1 | m9a_41 | 9 | true | prime | 1 | [[1, 10, 2, 11], [3, 12, 4, 13], [5, 14, 6, 15], [7, 16, 8, 17], [9, 18, 10, 1], [11, 2, 12, 3], [13, 4, 14, 5], [15, 6, 16, 7], [17, 8, 18, 9]] | derived_mirror | 9_1 | false | true | reversible | [] |
| 9_2 | 9_2 | 9_2 | 9a_27 | 9 | true | prime | 1 | [[2, 8, 3, 7], [4, 14, 5, 13], [6, 4, 7, 3], [8, 2, 9, 1], [10, 18, 11, 17], [12, 16, 13, 15], [14, 6, 15, 5], [16, 12, 17, 11], [18, 10, 1, 9]] | spreadsheet | sample_dat!row=40 | false | true | reversible | [] |