YakDB catalogue with explicit orientation and mirror conventions. Unresolved equivalences are retained.

Snapshot changed; rerun validation.

knot_id name dt_name crossing_number alternating kind component_count pd_code pd_source source_record amphichiral reversible symmetry_type possible_duplicates
0_1 0_1 0_1 0 true unknot 1 [] spreadsheet sample_dat!row=3 true true unknot (elementary) []
10_1 10_1 10a_75 10 true prime 1 [[2, 11, 3, 12], [4, 20, 5, 19], [6, 18, 7, 17], [8, 16, 9, 15], [10, 14, 11, 13], [12, 1, 13, 2], [14, 10, 15, 9], [16, 8, 17, 7], [18, 6, 19, 5], [20, 4, 1, 3]] spreadsheet sample_dat!row=88 false true reversible []
10_10 10_10 10a_64 10 true prime 1 [[1, 11, 2, 10], [3, 18, 4, 19], [5, 16, 6, 17], [7, 14, 8, 15], [9, 13, 10, 12], [11, 3, 12, 2], [13, 20, 14, 1], [15, 6, 16, 7], [17, 4, 18, 5], [19, 8, 20, 9]] spreadsheet sample_dat!row=97 false true reversible []
10_100 10_100 10a_104 10 true prime 1 [[2, 9, 3, 10], [4, 17, 5, 18], [6, 12, 7, 11], [8, 1, 9, 2], [10, 16, 11, 15], [12, 19, 13, 20], [14, 8, 15, 7], [16, 3, 17, 4], [18, 5, 19, 6], [20, 13, 1, 14]] spreadsheet sample_dat!row=187 false true reversible []
10_101 10_101 10a_45 10 true prime 1 [[2, 12, 3, 11], [4, 18, 5, 17], [6, 14, 7, 13], [8, 20, 9, 19], [10, 6, 11, 5], [12, 2, 13, 1], [14, 10, 15, 9], [16, 4, 17, 3], [18, 16, 19, 15], [20, 8, 1, 7]] spreadsheet sample_dat!row=188 false true reversible []
10_102 10_102 10a_97 10 true prime 1 [[2, 9, 3, 10], [4, 12, 5, 11], [6, 18, 7, 17], [8, 16, 9, 15], [10, 19, 11, 20], [12, 6, 13, 5], [14, 1, 15, 2], [16, 8, 17, 7], [18, 4, 19, 3], [20, 13, 1, 14]] spreadsheet sample_dat!row=189 false false chiral []
10_103 10_103 10a_105 10 true prime 1 [[2, 9, 3, 10], [4, 17, 5, 18], [6, 12, 7, 11], [8, 1, 9, 2], [10, 16, 11, 15], [12, 19, 13, 20], [14, 8, 15, 7], [16, 5, 17, 6], [18, 3, 19, 4], [20, 13, 1, 14]] spreadsheet sample_dat!row=190 false true reversible []
10_104 10_104 10a_118 10 true prime 1 [[6, 2, 7, 1], [16, 4, 17, 3], [18, 9, 19, 10], [14, 7, 15, 8], [20, 13, 1, 14], [8, 17, 9, 18], [10, 19, 11, 20], [12, 6, 13, 5], [4, 12, 5, 11], [2, 16, 3, 15]] spreadsheet sample_dat!row=191 false true reversible []
10_105 10_105 10a_72 10 true prime 1 [[1, 11, 2, 10], [3, 16, 4, 17], [5, 1, 6, 20], [7, 18, 8, 19], [9, 13, 10, 12], [11, 3, 12, 2], [13, 7, 14, 6], [15, 4, 16, 5], [17, 8, 18, 9], [19, 15, 20, 14]] spreadsheet sample_dat!row=192 false true reversible []
10_106 10_106 10a_95 10 true prime 1 [[1, 15, 2, 14], [3, 10, 4, 11], [5, 17, 6, 16], [7, 13, 8, 12], [9, 2, 10, 3], [11, 18, 12, 19], [13, 1, 14, 20], [15, 5, 16, 4], [17, 7, 18, 6], [19, 8, 20, 9]] spreadsheet sample_dat!row=193 false false chiral []
10_107 10_107 10a_66 10 true prime 1 [[1, 11, 2, 10], [3, 16, 4, 17], [5, 1, 6, 20], [7, 14, 8, 15], [9, 13, 10, 12], [11, 3, 12, 2], [13, 18, 14, 19], [15, 4, 16, 5], [17, 8, 18, 9], [19, 7, 20, 6]] spreadsheet sample_dat!row=194 false false chiral []
10_108 10_108 10a_119 10 true prime 1 [[1, 15, 2, 14], [3, 11, 4, 10], [5, 12, 6, 13], [7, 16, 8, 17], [9, 3, 10, 2], [11, 18, 12, 19], [13, 1, 14, 20], [15, 8, 16, 9], [17, 6, 18, 7], [19, 5, 20, 4]] spreadsheet sample_dat!row=195 false true reversible []
10_109 10_109 10a_93 10 true prime 1 [[6, 2, 7, 1], [10, 4, 11, 3], [18, 11, 19, 12], [16, 7, 17, 8], [8, 17, 9, 18], [20, 15, 1, 16], [12, 19, 13, 20], [14, 6, 15, 5], [2, 10, 3, 9], [4, 14, 5, 13]] spreadsheet sample_dat!row=196 true false negative amphicheiral []
10_11 10_11 10a_116 10 true prime 1 [[2, 15, 3, 16], [4, 13, 5, 14], [6, 2, 7, 1], [8, 18, 9, 17], [10, 20, 11, 19], [12, 5, 13, 6], [14, 3, 15, 4], [16, 12, 17, 11], [18, 10, 19, 9], [20, 8, 1, 7]] spreadsheet sample_dat!row=98 false true reversible []
10_110 10_110 10a_100 10 true prime 1 [[1, 14, 2, 15], [3, 10, 4, 11], [5, 1, 6, 20], [7, 17, 8, 16], [9, 4, 10, 5], [11, 19, 12, 18], [13, 2, 14, 3], [15, 7, 16, 6], [17, 13, 18, 12], [19, 9, 20, 8]] spreadsheet sample_dat!row=197 false false chiral []
10_111 10_111 10a_98 10 true prime 1 [[1, 9, 2, 8], [3, 19, 4, 18], [5, 11, 6, 10], [7, 14, 8, 15], [9, 3, 10, 2], [11, 17, 12, 16], [13, 1, 14, 20], [15, 6, 16, 7], [17, 5, 18, 4], [19, 13, 20, 12]] spreadsheet sample_dat!row=198 false true reversible []
10_112 10_112 10a_76 10 true prime 1 [[2, 10, 3, 9], [4, 11, 5, 12], [6, 19, 7, 20], [8, 14, 9, 13], [10, 15, 11, 16], [12, 18, 13, 17], [14, 1, 15, 2], [16, 4, 17, 3], [18, 5, 19, 6], [20, 7, 1, 8]] spreadsheet sample_dat!row=199 false true reversible []
10_113 10_113 10a_36 10 true prime 1 [[2, 8, 3, 7], [4, 14, 5, 13], [6, 11, 7, 12], [8, 16, 9, 15], [10, 2, 11, 1], [12, 19, 13, 20], [14, 18, 15, 17], [16, 10, 17, 9], [18, 4, 19, 3], [20, 5, 1, 6]] spreadsheet sample_dat!row=200 false true reversible []
10_114 10_114 10a_77 10 true prime 1 [[1, 8, 2, 9], [3, 11, 4, 10], [5, 14, 6, 15], [7, 12, 8, 13], [9, 17, 10, 16], [11, 18, 12, 19], [13, 6, 14, 7], [15, 1, 16, 20], [17, 2, 18, 3], [19, 5, 20, 4]] spreadsheet sample_dat!row=201 false true reversible []
10_115 10_115 10a_94 10 true prime 1 [[6, 2, 7, 1], [14, 6, 15, 5], [20, 15, 1, 16], [16, 7, 17, 8], [8, 19, 9, 20], [18, 11, 19, 12], [10, 4, 11, 3], [4, 10, 5, 9], [12, 17, 13, 18], [2, 14, 3, 13]] spreadsheet sample_dat!row=202 true false negative amphicheiral []
10_116 10_116 10a_120 10 true prime 1 [[2, 16, 3, 15], [4, 17, 5, 18], [6, 12, 7, 11], [8, 1, 9, 2], [10, 4, 11, 3], [12, 19, 13, 20], [14, 8, 15, 7], [16, 9, 17, 10], [18, 5, 19, 6], [20, 13, 1, 14]] spreadsheet sample_dat!row=203 false true reversible []
10_117 10_117 10a_99 10 true prime 1 [[1, 14, 2, 15], [3, 8, 4, 9], [5, 18, 6, 19], [7, 17, 8, 16], [9, 20, 10, 1], [11, 4, 12, 5], [13, 7, 14, 6], [15, 2, 16, 3], [17, 13, 18, 12], [19, 10, 20, 11]] spreadsheet sample_dat!row=204 false false chiral []
10_118 10_118 10a_88 10 true prime 1 [[6, 2, 7, 1], [18, 6, 19, 5], [20, 13, 1, 14], [12, 19, 13, 20], [14, 7, 15, 8], [8, 3, 9, 4], [2, 16, 3, 15], [10, 18, 11, 17], [16, 10, 17, 9], [4, 11, 5, 12]] spreadsheet sample_dat!row=205 true false negative amphicheiral []
10_119 10_119 10a_85 10 true prime 1 [[1, 16, 2, 17], [3, 10, 4, 11], [5, 1, 6, 20], [7, 2, 8, 3], [9, 14, 10, 15], [11, 19, 12, 18], [13, 4, 14, 5], [15, 8, 16, 9], [17, 7, 18, 6], [19, 13, 20, 12]] spreadsheet sample_dat!row=206 false false chiral []
10_12 10_12 10a_43 10 true prime 1 [[2, 11, 3, 12], [4, 18, 5, 17], [6, 13, 7, 14], [8, 19, 9, 20], [10, 1, 11, 2], [12, 7, 13, 8], [14, 5, 15, 6], [16, 4, 17, 3], [18, 16, 19, 15], [20, 9, 1, 10]] spreadsheet sample_dat!row=99 false true reversible []
10_120 10_120 10a_102 10 true prime 1 [[2, 10, 3, 9], [4, 18, 5, 17], [6, 12, 7, 11], [8, 4, 9, 3], [10, 16, 11, 15], [12, 20, 13, 19], [14, 8, 15, 7], [16, 2, 17, 1], [18, 14, 19, 13], [20, 6, 1, 5]] spreadsheet sample_dat!row=207 false true reversible []
10_121 10_121 10a_90 10 true prime 1 [[2, 11, 3, 12], [4, 10, 5, 9], [6, 2, 7, 1], [8, 16, 9, 15], [10, 17, 11, 18], [12, 8, 13, 7], [14, 20, 15, 19], [16, 3, 17, 4], [18, 6, 19, 5], [20, 14, 1, 13]] spreadsheet sample_dat!row=208 false true reversible []
10_122 10_122 10a_89 10 true prime 1 [[1, 8, 2, 9], [3, 11, 4, 10], [5, 12, 6, 13], [7, 16, 8, 17], [9, 15, 10, 14], [11, 18, 12, 19], [13, 1, 14, 20], [15, 2, 16, 3], [17, 6, 18, 7], [19, 5, 20, 4]] spreadsheet sample_dat!row=209 false true reversible []
10_123 10_123 10a_121 10 true prime 1 [[8, 2, 9, 1], [10, 3, 11, 4], [12, 6, 13, 5], [4, 18, 5, 17], [18, 11, 19, 12], [2, 15, 3, 16], [16, 10, 17, 9], [20, 14, 1, 13], [14, 7, 15, 8], [6, 19, 7, 20]] spreadsheet sample_dat!row=210 true true fully amphicheiral []
10_124 10_124 10n_21 10 false prime 1 [[1, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 19, 8, 18], [9, 3, 10, 2], [11, 5, 12, 4], [14, 20, 15, 19], [16, 14, 17, 13], [17, 7, 18, 6], [20, 16, 1, 15]] spreadsheet sample_dat!row=211 false true reversible []
10_125 10_125 10n_15 10 false prime 1 [[1, 5, 2, 4], [3, 9, 4, 8], [5, 15, 6, 14], [20, 15, 1, 16], [16, 9, 17, 10], [18, 11, 19, 12], [10, 17, 11, 18], [12, 19, 13, 20], [13, 7, 14, 6], [7, 3, 8, 2]] spreadsheet sample_dat!row=212 false true reversible []
10_126 10_126 10n_17 10 false prime 1 [[1, 7, 2, 6], [4, 15, 5, 16], [5, 9, 6, 8], [7, 3, 8, 2], [10, 17, 11, 18], [12, 19, 13, 20], [14, 9, 15, 10], [16, 3, 17, 4], [18, 11, 19, 12], [20, 13, 1, 14]] spreadsheet sample_dat!row=213 false true reversible []
10_127 10_127 10n_16 10 false prime 1 [[1, 7, 2, 6], [4, 15, 5, 16], [5, 9, 6, 8], [7, 3, 8, 2], [9, 15, 10, 14], [11, 19, 12, 18], [13, 1, 14, 20], [16, 3, 17, 4], [17, 11, 18, 10], [19, 13, 20, 12]] spreadsheet sample_dat!row=214 false true reversible []
10_128 10_128 10n_22 10 false prime 1 [[1, 9, 2, 8], [3, 11, 4, 10], [5, 13, 6, 12], [7, 19, 8, 18], [9, 5, 10, 4], [11, 3, 12, 2], [14, 20, 15, 19], [16, 14, 17, 13], [17, 7, 18, 6], [20, 16, 1, 15]] spreadsheet sample_dat!row=215 false true reversible []
10_129 10_129 10n_18 10 false prime 1 [[1, 7, 2, 6], [3, 17, 4, 16], [5, 9, 6, 8], [7, 3, 8, 2], [10, 19, 11, 20], [12, 17, 13, 18], [14, 9, 15, 10], [15, 5, 16, 4], [18, 11, 19, 12], [20, 13, 1, 14]] spreadsheet sample_dat!row=216 false true reversible []
10_13 10_13 10a_54 10 true prime 1 [[2, 17, 3, 18], [4, 8, 5, 7], [6, 13, 7, 14], [8, 2, 9, 1], [10, 20, 11, 19], [12, 16, 13, 15], [14, 5, 15, 6], [16, 3, 17, 4], [18, 12, 19, 11], [20, 10, 1, 9]] spreadsheet sample_dat!row=100 false true reversible []
10_130 10_130 10n_20 10 false prime 1 [[1, 7, 2, 6], [4, 15, 5, 16], [5, 9, 6, 8], [7, 3, 8, 2], [10, 19, 11, 20], [12, 17, 13, 18], [14, 9, 15, 10], [16, 3, 17, 4], [18, 11, 19, 12], [20, 13, 1, 14]] spreadsheet sample_dat!row=217 false true reversible []
10_131 10_131 10n_19 10 false prime 1 [[1, 7, 2, 6], [4, 15, 5, 16], [5, 9, 6, 8], [7, 3, 8, 2], [9, 15, 10, 14], [11, 19, 12, 18], [13, 1, 14, 20], [16, 3, 17, 4], [17, 13, 18, 12], [19, 11, 20, 10]] spreadsheet sample_dat!row=218 false true reversible []
10_132 10_132 10n_13 10 false prime 1 [[1, 8, 2, 9], [3, 18, 4, 19], [5, 12, 6, 13], [7, 10, 8, 11], [9, 2, 10, 3], [11, 6, 12, 7], [14, 20, 15, 19], [16, 14, 17, 13], [17, 4, 18, 5], [20, 16, 1, 15]] spreadsheet sample_dat!row=219 false true reversible []
10_133 10_133 10n_4 10 false prime 1 [[2, 16, 3, 15], [4, 2, 5, 1], [7, 13, 8, 12], [9, 7, 10, 6], [11, 18, 12, 19], [13, 9, 14, 8], [14, 20, 15, 19], [16, 4, 17, 3], [17, 10, 18, 11], [20, 6, 1, 5]] spreadsheet sample_dat!row=220 false true reversible []
10_134 10_134 10n_6 10 false prime 1 [[2, 16, 3, 15], [4, 2, 5, 1], [7, 13, 8, 12], [9, 7, 10, 6], [10, 18, 11, 17], [13, 9, 14, 8], [14, 20, 15, 19], [16, 4, 17, 3], [18, 12, 19, 11], [20, 6, 1, 5]] spreadsheet sample_dat!row=221 false true reversible []
10_135 10_135 10n_5 10 false prime 1 [[1, 4, 2, 5], [3, 16, 4, 17], [5, 20, 6, 1], [7, 13, 8, 12], [9, 7, 10, 6], [10, 18, 11, 17], [13, 9, 14, 8], [15, 2, 16, 3], [18, 12, 19, 11], [19, 14, 20, 15]] spreadsheet sample_dat!row=222 false true reversible []
10_136 10_136 10n_3 10 false prime 1 [[2, 17, 3, 18], [4, 2, 5, 1], [7, 14, 8, 15], [9, 7, 10, 6], [12, 19, 13, 20], [13, 8, 14, 9], [15, 11, 16, 10], [16, 3, 17, 4], [18, 11, 19, 12], [20, 6, 1, 5]] spreadsheet sample_dat!row=223 false true reversible []
10_137 10_137 10n_2 10 false prime 1 [[1, 15, 2, 14], [4, 8, 5, 7], [6, 19, 7, 20], [9, 17, 10, 16], [11, 8, 12, 9], [13, 3, 14, 2], [15, 11, 16, 10], [17, 12, 18, 13], [18, 4, 19, 3], [20, 5, 1, 6]] spreadsheet sample_dat!row=224 false true reversible []
10_138 10_138 10n_1 10 false prime 1 [[1, 15, 2, 14], [4, 8, 5, 7], [6, 19, 7, 20], [8, 12, 9, 11], [10, 15, 11, 16], [12, 18, 13, 17], [13, 3, 14, 2], [16, 9, 17, 10], [18, 4, 19, 3], [20, 5, 1, 6]] spreadsheet sample_dat!row=225 false true reversible []
10_139 10_139 10n_27 10 false prime 1 [[1, 11, 2, 10], [4, 18, 5, 17], [5, 13, 6, 12], [7, 15, 8, 14], [9, 1, 10, 20], [11, 3, 12, 2], [13, 7, 14, 6], [16, 4, 17, 3], [18, 16, 19, 15], [19, 9, 20, 8]] spreadsheet sample_dat!row=226 false true reversible []
10_14 10_14 10a_33 10 true prime 1 [[1, 14, 2, 15], [3, 17, 4, 16], [5, 11, 6, 10], [7, 19, 8, 18], [9, 1, 10, 20], [11, 5, 12, 4], [13, 2, 14, 3], [15, 13, 16, 12], [17, 7, 18, 6], [19, 9, 20, 8]] spreadsheet sample_dat!row=101 false true reversible []
10_140 10_140 10n_29 10 false prime 1 [[1, 15, 2, 14], [3, 10, 4, 11], [5, 12, 6, 13], [6, 18, 7, 17], [8, 16, 9, 15], [11, 4, 12, 5], [13, 1, 14, 20], [16, 8, 17, 7], [18, 10, 19, 9], [19, 3, 20, 2]] spreadsheet sample_dat!row=227 false true reversible []
10_141 10_141 10n_25 10 false prime 1 [[2, 11, 3, 12], [4, 9, 5, 10], [5, 19, 6, 18], [7, 15, 8, 14], [10, 1, 11, 2], [12, 3, 13, 4], [13, 17, 14, 16], [15, 9, 16, 8], [17, 1, 18, 20], [19, 7, 20, 6]] spreadsheet sample_dat!row=228 false true reversible []
10_142 10_142 10n_30 10 false prime 1 [[1, 15, 2, 14], [4, 12, 5, 11], [6, 18, 7, 17], [8, 16, 9, 15], [10, 4, 11, 3], [12, 6, 13, 5], [13, 1, 14, 20], [16, 8, 17, 7], [18, 10, 19, 9], [19, 3, 20, 2]] spreadsheet sample_dat!row=229 false true reversible []
10_143 10_143 10n_26 10 false prime 1 [[2, 11, 3, 12], [4, 9, 5, 10], [6, 19, 7, 20], [7, 15, 8, 14], [10, 1, 11, 2], [12, 3, 13, 4], [13, 17, 14, 16], [15, 9, 16, 8], [18, 5, 19, 6], [20, 17, 1, 18]] spreadsheet sample_dat!row=230 false true reversible []
10_144 10_144 10n_28 10 false prime 1 [[1, 9, 2, 8], [3, 16, 4, 17], [5, 14, 6, 15], [7, 11, 8, 10], [9, 3, 10, 2], [12, 20, 13, 19], [15, 4, 16, 5], [17, 6, 18, 7], [18, 12, 19, 11], [20, 14, 1, 13]] spreadsheet sample_dat!row=231 false true reversible []
10_145 10_145 10n_14 10 false prime 1 [[1, 14, 2, 15], [3, 18, 4, 19], [6, 13, 7, 14], [8, 6, 9, 5], [9, 16, 10, 17], [11, 2, 12, 3], [12, 7, 13, 8], [15, 20, 16, 1], [17, 4, 18, 5], [19, 10, 20, 11]] spreadsheet sample_dat!row=232 false true reversible []
10_146 10_146 10n_23 10 false prime 1 [[1, 14, 2, 15], [4, 10, 5, 9], [6, 14, 7, 13], [8, 17, 9, 18], [10, 4, 11, 3], [12, 8, 13, 7], [15, 20, 16, 1], [16, 11, 17, 12], [18, 5, 19, 6], [19, 3, 20, 2]] spreadsheet sample_dat!row=233 false true reversible []
10_147 10_147 10n_24 10 false prime 1 [[2, 8, 3, 7], [3, 18, 4, 19], [6, 11, 7, 12], [8, 16, 9, 15], [10, 2, 11, 1], [13, 4, 14, 5], [14, 18, 15, 17], [16, 10, 17, 9], [19, 13, 20, 12], [20, 5, 1, 6]] spreadsheet sample_dat!row=234 false false chiral []
10_148 10_148 10n_12 10 false prime 1 [[2, 17, 3, 18], [4, 9, 5, 10], [6, 19, 7, 20], [7, 13, 8, 12], [10, 3, 11, 4], [11, 15, 12, 14], [13, 9, 14, 8], [16, 1, 17, 2], [18, 5, 19, 6], [20, 15, 1, 16]] spreadsheet sample_dat!row=235 false false chiral []
10_149 10_149 10n_11 10 false prime 1 [[1, 17, 2, 16], [4, 9, 5, 10], [5, 19, 6, 18], [7, 13, 8, 12], [10, 3, 11, 4], [11, 15, 12, 14], [13, 9, 14, 8], [15, 1, 16, 20], [17, 3, 18, 2], [19, 7, 20, 6]] spreadsheet sample_dat!row=236 false false chiral []
10_15 10_15 10a_68 10 true prime 1 [[2, 6, 3, 5], [4, 16, 5, 15], [6, 2, 7, 1], [8, 17, 9, 18], [10, 19, 11, 20], [12, 7, 13, 8], [14, 4, 15, 3], [16, 14, 17, 13], [18, 9, 19, 10], [20, 11, 1, 12]] spreadsheet sample_dat!row=102 false true reversible []
10_150 10_150 10n_9 10 false prime 1 [[1, 17, 2, 16], [3, 7, 4, 6], [5, 1, 6, 20], [8, 14, 9, 13], [10, 8, 11, 7], [11, 18, 12, 19], [14, 10, 15, 9], [15, 3, 16, 2], [17, 12, 18, 13], [19, 5, 20, 4]] spreadsheet sample_dat!row=237 false false chiral []
10_151 10_151 10n_8 10 false prime 1 [[2, 15, 3, 16], [4, 19, 5, 20], [6, 3, 7, 4], [8, 14, 9, 13], [10, 8, 11, 7], [11, 18, 12, 19], [14, 10, 15, 9], [16, 1, 17, 2], [17, 12, 18, 13], [20, 5, 1, 6]] spreadsheet sample_dat!row=238 false false chiral []
10_152 10_152 10n_36 10 false prime 1 [[1, 7, 2, 6], [3, 9, 4, 8], [5, 19, 6, 18], [7, 3, 8, 2], [10, 16, 11, 15], [12, 20, 13, 19], [14, 10, 15, 9], [16, 12, 17, 11], [17, 5, 18, 4], [20, 14, 1, 13]] spreadsheet sample_dat!row=239 false true reversible []
10_153 10_153 10n_10 10 false prime 1 [[2, 17, 3, 18], [3, 11, 4, 10], [6, 19, 7, 20], [7, 13, 8, 12], [9, 5, 10, 4], [11, 15, 12, 14], [13, 9, 14, 8], [16, 1, 17, 2], [18, 5, 19, 6], [20, 15, 1, 16]] spreadsheet sample_dat!row=240 false false chiral []
10_154 10_154 10n_7 10 false prime 1 [[1, 17, 2, 16], [3, 7, 4, 6], [5, 1, 6, 20], [8, 14, 9, 13], [10, 8, 11, 7], [12, 18, 13, 17], [14, 10, 15, 9], [15, 3, 16, 2], [18, 12, 19, 11], [19, 5, 20, 4]] spreadsheet sample_dat!row=241 false true reversible []
10_155 10_155 10n_39 10 false prime 1 [[1, 11, 2, 10], [3, 13, 4, 12], [5, 14, 6, 15], [6, 19, 7, 20], [9, 16, 10, 17], [11, 3, 12, 2], [13, 19, 14, 18], [15, 8, 16, 9], [17, 4, 18, 5], [20, 7, 1, 8]] spreadsheet sample_dat!row=242 false true reversible []
10_156 10_156 10n_32 10 false prime 1 [[1, 13, 2, 12], [3, 8, 4, 9], [5, 14, 6, 15], [7, 18, 8, 19], [10, 15, 11, 16], [11, 1, 12, 20], [13, 6, 14, 7], [16, 9, 17, 10], [17, 4, 18, 5], [19, 3, 20, 2]] spreadsheet sample_dat!row=243 false true reversible []
10_157 10_157 10n_42 10 false prime 1 [[2, 8, 3, 7], [3, 10, 4, 11], [5, 18, 6, 19], [8, 15, 9, 16], [11, 4, 12, 5], [14, 1, 15, 2], [16, 9, 17, 10], [17, 13, 18, 12], [19, 6, 20, 7], [20, 13, 1, 14]] spreadsheet sample_dat!row=244 false true reversible []
10_158 10_158 10n_41 10 false prime 1 [[3, 9, 4, 8], [4, 11, 5, 12], [6, 20, 7, 19], [9, 17, 10, 16], [12, 5, 13, 6], [14, 1, 15, 2], [15, 11, 16, 10], [17, 3, 18, 2], [18, 8, 19, 7], [20, 13, 1, 14]] spreadsheet sample_dat!row=245 false true reversible []
10_159 10_159 10n_34 10 false prime 1 [[2, 10, 3, 9], [4, 11, 5, 12], [5, 19, 6, 18], [7, 1, 8, 20], [8, 14, 9, 13], [10, 15, 11, 16], [12, 18, 13, 17], [14, 1, 15, 2], [16, 4, 17, 3], [19, 7, 20, 6]] spreadsheet sample_dat!row=246 false true reversible []
10_16 10_16 10a_115 10 true prime 1 [[1, 10, 2, 11], [3, 15, 4, 14], [5, 17, 6, 16], [7, 19, 8, 18], [9, 2, 10, 3], [11, 20, 12, 1], [13, 9, 14, 8], [15, 7, 16, 6], [17, 5, 18, 4], [19, 12, 20, 13]] spreadsheet sample_dat!row=103 false true reversible []
10_160 10_160 10n_33 10 false prime 1 [[1, 13, 2, 12], [4, 18, 5, 17], [6, 14, 7, 13], [8, 4, 9, 3], [10, 15, 11, 16], [11, 1, 12, 20], [14, 6, 15, 5], [16, 9, 17, 10], [18, 8, 19, 7], [19, 3, 20, 2]] spreadsheet sample_dat!row=247 false true reversible []
10_161 10_161 10n_31 10 false prime 1 [[1, 13, 2, 12], [4, 18, 5, 17], [6, 14, 7, 13], [8, 4, 9, 3], [9, 17, 10, 16], [11, 1, 12, 20], [14, 6, 15, 5], [15, 11, 16, 10], [18, 8, 19, 7], [19, 3, 20, 2]] spreadsheet sample_dat!row=248 false true reversible []
10_162 10_162 10n_40 10 false prime 1 [[2, 9, 3, 10], [5, 12, 6, 13], [6, 18, 7, 17], [8, 16, 9, 15], [10, 19, 11, 20], [11, 4, 12, 5], [14, 1, 15, 2], [16, 8, 17, 7], [18, 4, 19, 3], [20, 13, 1, 14]] spreadsheet sample_dat!row=249 false true reversible []
10_163 10_163 10n_35 10 false prime 1 [[1, 8, 2, 9], [3, 11, 4, 10], [6, 14, 7, 13], [9, 17, 10, 16], [11, 18, 12, 19], [12, 8, 13, 7], [14, 6, 15, 5], [15, 1, 16, 20], [17, 2, 18, 3], [19, 5, 20, 4]] spreadsheet sample_dat!row=250 false true reversible []
10_164 10_164 10n_38 10 false prime 1 [[2, 12, 3, 11], [3, 16, 4, 17], [6, 14, 7, 13], [8, 15, 9, 16], [9, 5, 10, 4], [12, 2, 13, 1], [14, 19, 15, 20], [17, 10, 18, 11], [18, 5, 19, 6], [20, 8, 1, 7]] spreadsheet sample_dat!row=251 false true reversible []
10_165 10_165 10n_37 10 false prime 1 [[1, 8, 2, 9], [3, 12, 4, 13], [4, 17, 5, 18], [7, 2, 8, 3], [9, 14, 10, 15], [11, 17, 12, 16], [13, 6, 14, 7], [15, 20, 16, 1], [18, 5, 19, 6], [19, 11, 20, 10]] spreadsheet sample_dat!row=252 false true reversible []
10_17 10_17 10a_107 10 true prime 1 [[6, 2, 7, 1], [12, 4, 13, 3], [20, 15, 1, 16], [16, 7, 17, 8], [18, 9, 19, 10], [8, 17, 9, 18], [10, 19, 11, 20], [14, 6, 15, 5], [2, 12, 3, 11], [4, 14, 5, 13]] spreadsheet sample_dat!row=104 true true fully amphicheiral []
10_18 10_18 10a_63 10 true prime 1 [[2, 14, 3, 13], [4, 10, 5, 9], [6, 17, 7, 18], [8, 15, 9, 16], [10, 20, 11, 19], [12, 2, 13, 1], [14, 12, 15, 11], [16, 7, 17, 8], [18, 5, 19, 6], [20, 4, 1, 3]] spreadsheet sample_dat!row=105 false true reversible []
10_19 10_19 10a_108 10 true prime 1 [[1, 13, 2, 12], [3, 15, 4, 14], [5, 10, 6, 11], [7, 16, 8, 17], [9, 18, 10, 19], [11, 1, 12, 20], [13, 3, 14, 2], [15, 8, 16, 9], [17, 6, 18, 7], [19, 5, 20, 4]] spreadsheet sample_dat!row=106 false true reversible []
10_2 10_2 10a_59 10 true prime 1 [[1, 13, 2, 12], [3, 14, 4, 15], [5, 3, 6, 2], [7, 17, 8, 16], [9, 19, 10, 18], [11, 1, 12, 20], [13, 4, 14, 5], [15, 7, 16, 6], [17, 9, 18, 8], [19, 11, 20, 10]] spreadsheet sample_dat!row=89 false true reversible []
10_20 10_20 10a_74 10 true prime 1 [[2, 8, 3, 7], [4, 15, 5, 16], [6, 4, 7, 3], [8, 2, 9, 1], [10, 18, 11, 17], [12, 20, 13, 19], [14, 5, 15, 6], [16, 14, 17, 13], [18, 12, 19, 11], [20, 10, 1, 9]] spreadsheet sample_dat!row=107 false true reversible []
10_21 10_21 10a_60 10 true prime 1 [[1, 15, 2, 14], [3, 13, 4, 12], [5, 17, 6, 16], [7, 11, 8, 10], [9, 18, 10, 19], [11, 1, 12, 20], [13, 3, 14, 2], [15, 5, 16, 4], [17, 7, 18, 6], [19, 8, 20, 9]] spreadsheet sample_dat!row=108 false true reversible []
10_22 10_22 10a_112 10 true prime 1 [[2, 11, 3, 12], [4, 18, 5, 17], [6, 16, 7, 15], [8, 14, 9, 13], [10, 1, 11, 2], [12, 19, 13, 20], [14, 6, 15, 5], [16, 8, 17, 7], [18, 4, 19, 3], [20, 9, 1, 10]] spreadsheet sample_dat!row=109 false true reversible []
10_23 10_23 10a_57 10 true prime 1 [[2, 13, 3, 14], [4, 11, 5, 12], [6, 18, 7, 17], [8, 19, 9, 20], [10, 1, 11, 2], [12, 3, 13, 4], [14, 7, 15, 8], [16, 6, 17, 5], [18, 16, 19, 15], [20, 9, 1, 10]] spreadsheet sample_dat!row=110 false true reversible []
10_24 10_24 10a_71 10 true prime 1 [[2, 14, 3, 13], [4, 10, 5, 9], [6, 17, 7, 18], [8, 6, 9, 5], [10, 4, 11, 3], [12, 20, 13, 19], [14, 2, 15, 1], [16, 7, 17, 8], [18, 12, 19, 11], [20, 16, 1, 15]] spreadsheet sample_dat!row=111 false true reversible []
10_25 10_25 10a_61 10 true prime 1 [[1, 11, 2, 10], [3, 15, 4, 14], [5, 13, 6, 12], [7, 18, 8, 19], [9, 1, 10, 20], [11, 5, 12, 4], [13, 7, 14, 6], [15, 3, 16, 2], [17, 8, 18, 9], [19, 17, 20, 16]] spreadsheet sample_dat!row=112 false true reversible []
10_26 10_26 10a_111 10 true prime 1 [[1, 12, 2, 13], [3, 14, 4, 15], [5, 17, 6, 16], [7, 19, 8, 18], [9, 1, 10, 20], [11, 4, 12, 5], [13, 2, 14, 3], [15, 11, 16, 10], [17, 9, 18, 8], [19, 7, 20, 6]] spreadsheet sample_dat!row=113 false true reversible []
10_27 10_27 10a_58 10 true prime 1 [[1, 11, 2, 10], [3, 18, 4, 19], [5, 16, 6, 17], [7, 14, 8, 15], [9, 13, 10, 12], [11, 3, 12, 2], [13, 20, 14, 1], [15, 4, 16, 5], [17, 6, 18, 7], [19, 8, 20, 9]] spreadsheet sample_dat!row=114 false true reversible []
10_28 10_28 10a_44 10 true prime 1 [[1, 9, 2, 8], [3, 16, 4, 17], [5, 14, 6, 15], [7, 11, 8, 10], [9, 3, 10, 2], [11, 20, 12, 1], [13, 18, 14, 19], [15, 4, 16, 5], [17, 6, 18, 7], [19, 12, 20, 13]] spreadsheet sample_dat!row=115 false true reversible []
10_29 10_29 10a_53 10 true prime 1 [[2, 15, 3, 16], [4, 2, 5, 1], [6, 11, 7, 12], [8, 18, 9, 17], [10, 20, 11, 19], [12, 5, 13, 6], [14, 3, 15, 4], [16, 14, 17, 13], [18, 10, 19, 9], [20, 8, 1, 7]] spreadsheet sample_dat!row=116 false true reversible []
10_3 10_3 10a_117 10 true prime 1 [[2, 10, 3, 9], [4, 17, 5, 18], [6, 15, 7, 16], [8, 4, 9, 3], [10, 2, 11, 1], [12, 20, 13, 19], [14, 7, 15, 8], [16, 5, 17, 6], [18, 14, 19, 13], [20, 12, 1, 11]] spreadsheet sample_dat!row=90 false true reversible []
10_30 10_30 10a_34 10 true prime 1 [[1, 14, 2, 15], [3, 17, 4, 16], [5, 11, 6, 10], [7, 19, 8, 18], [9, 1, 10, 20], [11, 5, 12, 4], [13, 2, 14, 3], [15, 13, 16, 12], [17, 9, 18, 8], [19, 7, 20, 6]] spreadsheet sample_dat!row=117 false true reversible []
10_31 10_31 10a_69 10 true prime 1 [[2, 6, 3, 5], [4, 16, 5, 15], [6, 2, 7, 1], [8, 17, 9, 18], [10, 19, 11, 20], [12, 7, 13, 8], [14, 4, 15, 3], [16, 14, 17, 13], [18, 11, 19, 12], [20, 9, 1, 10]] spreadsheet sample_dat!row=118 false true reversible []
10_32 10_32 10a_55 10 true prime 1 [[2, 14, 3, 13], [4, 10, 5, 9], [6, 15, 7, 16], [8, 17, 9, 18], [10, 20, 11, 19], [12, 2, 13, 1], [14, 12, 15, 11], [16, 7, 17, 8], [18, 5, 19, 6], [20, 4, 1, 3]] spreadsheet sample_dat!row=119 false true reversible []
10_33 10_33 10a_109 10 true prime 1 [[6, 2, 7, 1], [14, 6, 15, 5], [20, 15, 1, 16], [16, 7, 17, 8], [8, 19, 9, 20], [18, 9, 19, 10], [10, 17, 11, 18], [2, 14, 3, 13], [12, 4, 13, 3], [4, 12, 5, 11]] spreadsheet sample_dat!row=120 true true fully amphicheiral []
10_34 10_34 10a_19 10 true prime 1 [[1, 7, 2, 6], [3, 14, 4, 15], [5, 9, 6, 8], [7, 3, 8, 2], [9, 20, 10, 1], [11, 18, 12, 19], [13, 16, 14, 17], [15, 4, 16, 5], [17, 12, 18, 13], [19, 10, 20, 11]] spreadsheet sample_dat!row=121 false true reversible []
10_35 10_35 10a_23 10 true prime 1 [[1, 11, 2, 10], [3, 18, 4, 19], [5, 3, 6, 2], [7, 14, 8, 15], [9, 12, 10, 13], [11, 1, 12, 20], [13, 8, 14, 9], [15, 6, 16, 7], [17, 4, 18, 5], [19, 17, 20, 16]] spreadsheet sample_dat!row=122 false true reversible []
10_36 10_36 10a_5 10 true prime 1 [[2, 15, 3, 16], [4, 14, 5, 13], [6, 12, 7, 11], [8, 18, 9, 17], [10, 8, 11, 7], [12, 6, 13, 5], [14, 20, 15, 19], [16, 1, 17, 2], [18, 10, 19, 9], [20, 4, 1, 3]] spreadsheet sample_dat!row=123 false true reversible []
10_37 10_37 10a_49 10 true prime 1 [[4, 2, 5, 1], [10, 4, 11, 3], [12, 8, 13, 7], [8, 12, 9, 11], [18, 15, 19, 16], [16, 5, 17, 6], [6, 17, 7, 18], [20, 13, 1, 14], [14, 19, 15, 20], [2, 10, 3, 9]] spreadsheet sample_dat!row=124 true true fully amphicheiral []
10_38 10_38 10a_29 10 true prime 1 [[2, 16, 3, 15], [4, 12, 5, 11], [6, 10, 7, 9], [8, 17, 9, 18], [10, 6, 11, 5], [12, 20, 13, 19], [14, 2, 15, 1], [16, 14, 17, 13], [18, 7, 19, 8], [20, 4, 1, 3]] spreadsheet sample_dat!row=125 false true reversible []
10_39 10_39 10a_26 10 true prime 1 [[1, 14, 2, 15], [3, 17, 4, 16], [5, 19, 6, 18], [7, 11, 8, 10], [9, 1, 10, 20], [11, 7, 12, 6], [13, 2, 14, 3], [15, 13, 16, 12], [17, 5, 18, 4], [19, 9, 20, 8]] spreadsheet sample_dat!row=126 false true reversible []

100 rows shown · 6675982 matching rows · Oriented Knots

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Metadata and schema

Provenance
YakDB source import; see integrations/YAKDB_SOURCE.json and integrations/yaksite/data/manifest.json.
Authors
Unknown / not supplied
Citations
Unknown / not supplied
Bibtex
Unknown / not supplied
License
Unknown / not supplied
Methodology
Imported catalogue presentations and existing normalization; name-based references are uncertified.
Completeness
See source manifest; symmetry and equivalence may remain unresolved.

Name-based joins are uncertified.

ColumnTypeDescription
knot_idNominal(KnotId, string)Catalogue identifier; a reference, not a knot diagram.
namestringDisplay name of the oriented knot.
dt_nameOption(string)Optional DT catalogue alias.
crossing_numberOption(int)Minimal crossing number, when known.
alternatingboolWhether the catalogue marks the knot as alternating.
kindstringCurrent values: unknot, prime, composite.
component_countintNumber of components; always one in this dataset.
pd_codeNominal(PDCode, List(Product(int, int, int, int)))Oriented PD presentation, represented by a list of integer quadruples; [] denotes the unknot.
pd_sourcestringSource or derivation of the PD presentation.
source_recordstringLocator or serialized source description.
amphichiralOption(bool)Combined amphichirality status; None means unknown.
reversibleOption(bool)Reversibility status; None means unknown.
symmetry_typeOption(string)Imported symmetry category, when available.
possible_duplicatesList(Nominal(KnotId, string))Catalogue references to unresolved possible duplicates.

Schema version: b8754b7fe0915fd1546e20bbe7cf7c91e88713aee2abd8ad0cc071fd8420d5f3 · Data version: 8cb3ba370b31630457dc3734f58f9f1eba7882b741bfee7c75c019abb928faa9

REST API

JSON rows for the current filters: GET https://topology.fyi/api/v1/datasets/OrientedKnots/rows?raw=1

Schema: /api/v1/datasets/OrientedKnots/schema

curl "https://topology.fyi/api/v1/datasets/OrientedKnots/rows?raw=1"