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

Snapshot changed; rerun validation.

name unoriented_members oriented_members symmetry reversible positive_amphichiral negative_amphichiral
a(4_1 # 12a_1208) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1208)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1208)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1208"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1208"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1208"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1208"}] Chiral false false false
a(4_1 # 12a_1209) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1209)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1209"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1209"}] Negative amphichiral false false true
a(4_1 # 12a_121) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_121)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_121)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_121"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_121"}] Chiral true false false
a(4_1 # 12a_1210) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1210)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1210)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1210"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1210"}] Chiral true false false
a(4_1 # 12a_1211) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1211)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1211"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1211"}] Negative amphichiral false false true
a(4_1 # 12a_1212) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1212)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1212)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1212"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1212"}] Chiral true false false
a(4_1 # 12a_1213) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1213)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1213)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1213"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1213"}] Chiral true false false
a(4_1 # 12a_1214) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1214)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1214)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1214"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1214"}] Chiral true false false
a(4_1 # 12a_1215) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1215)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1215)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1215"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1215"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1215"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1215"}] Chiral false false false
a(4_1 # 12a_1216) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1216)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1216)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1216"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1216"}] Chiral true false false
a(4_1 # 12a_1217) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1217)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1217)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1217"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1217"}] Chiral true false false
a(4_1 # 12a_1218) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1218)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1218"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1218"}] Negative amphichiral false false true
a(4_1 # 12a_1219) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1219)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1219)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1219"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1219"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1219"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1219"}] Chiral false false false
a(4_1 # 12a_122) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_122)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_122)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_122"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_122"}] Chiral true false false
a(4_1 # 12a_1220) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1220)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1220)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1220"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1220"}] Chiral true false false
a(4_1 # 12a_1221) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1221)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1221)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1221"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1221"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1221"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1221"}] Chiral false false false
a(4_1 # 12a_1222) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1222)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1222)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1222"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1222"}] Chiral true false false
a(4_1 # 12a_1223) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1223)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1223)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1223"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1223"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1223"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1223"}] Chiral false false false
a(4_1 # 12a_1224) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1224)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1224)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1224"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1224"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1224"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1224"}] Chiral false false false
a(4_1 # 12a_1225) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1225)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1225"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1225"}] Negative amphichiral false false true
a(4_1 # 12a_1226) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1226)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1226)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1226"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1226"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1226"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1226"}] Chiral false false false
a(4_1 # 12a_1227) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1227)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1227)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1227"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1227"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1227"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1227"}] Chiral false false false
a(4_1 # 12a_1228) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1228)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1228)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1228"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1228"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1228"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1228"}] Chiral false false false
a(4_1 # 12a_1229) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1229)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1229"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1229"}] Negative amphichiral false false true
a(4_1 # 12a_123) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_123)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_123)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_123"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_123"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_123"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_123"}] Chiral false false false
a(4_1 # 12a_1230) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1230)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1230)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1230"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1230"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1230"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1230"}] Chiral false false false
a(4_1 # 12a_1231) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1231)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1231)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1231"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1231"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1231"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1231"}] Chiral false false false
a(4_1 # 12a_1232) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1232)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1232)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1232"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1232"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1232"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1232"}] Chiral false false false
a(4_1 # 12a_1233) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1233)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1233)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1233"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1233"}] Chiral true false false
a(4_1 # 12a_1234) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1234)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1234)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1234"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1234"}] Chiral true false false
a(4_1 # 12a_1235) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1235)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1235)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1235"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1235"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1235"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1235"}] Chiral false false false
a(4_1 # 12a_1236) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1236)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1236)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1236"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1236"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1236"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1236"}] Chiral false false false
a(4_1 # 12a_1237) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1237)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1237)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1237"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1237"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1237"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1237"}] Chiral false false false
a(4_1 # 12a_1238) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1238)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1238)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1238"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1238"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1238"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1238"}] Chiral false false false
a(4_1 # 12a_1239) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1239)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1239)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1239"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1239"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1239"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1239"}] Chiral false false false
a(4_1 # 12a_124) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_124)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_124)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_124"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_124"}] Chiral true false false
a(4_1 # 12a_1240) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1240)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1240)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1240"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1240"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1240"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1240"}] Chiral false false false
a(4_1 # 12a_1241) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1241)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1241)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1241"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1241"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1241"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1241"}] Chiral false false false
a(4_1 # 12a_1242) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1242)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1242)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1242"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1242"}] Chiral true false false
a(4_1 # 12a_1243) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1243)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1243)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1243"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1243"}] Chiral true false false
a(4_1 # 12a_1244) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1244)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1244)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1244"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1244"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1244"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1244"}] Chiral false false false
a(4_1 # 12a_1245) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1245)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1245)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1245"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1245"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1245"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1245"}] Chiral false false false
a(4_1 # 12a_1246) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1246)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1246)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1246"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1246"}] Chiral true false false
a(4_1 # 12a_1247) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1247)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1247)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1247"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1247"}] Chiral true false false
a(4_1 # 12a_1248) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1248)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1248)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1248"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1248"}] Chiral true false false
a(4_1 # 12a_1249) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1249)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1249"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1249"}] Negative amphichiral false false true
a(4_1 # 12a_125) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_125)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_125"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_125"}] Negative amphichiral false false true
a(4_1 # 12a_1250) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1250)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1250)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1250"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1250"}] Chiral true false false
a(4_1 # 12a_1251) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1251)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1251"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1251"}] Negative amphichiral false false true
a(4_1 # 12a_1252) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1252)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1252)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1252"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1252"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1252"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1252"}] Chiral false false false
a(4_1 # 12a_1253) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1253)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1253)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1253"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1253"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1253"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1253"}] Chiral false false false
a(4_1 # 12a_1254) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1254)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1254"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1254"}] Negative amphichiral false false true
a(4_1 # 12a_1255) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1255)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1255)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1255"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1255"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1255"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1255"}] Chiral false false false
a(4_1 # 12a_1256) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1256)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1256)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1256"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1256"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1256"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1256"}] Chiral false false false
a(4_1 # 12a_1257) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1257)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1257)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1257"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1257"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1257"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1257"}] Chiral false false false
a(4_1 # 12a_1258) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1258)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1258)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1258"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1258"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1258"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1258"}] Chiral false false false
a(4_1 # 12a_1259) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1259)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1259)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1259"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1259"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1259"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1259"}] Chiral false false false
a(4_1 # 12a_126) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_126)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_126)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_126"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_126"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_126"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_126"}] Chiral false false false
a(4_1 # 12a_1260) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1260)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1260"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1260"}] Negative amphichiral false false true
a(4_1 # 12a_1261) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1261)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1261)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1261"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1261"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1261"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1261"}] Chiral false false false
a(4_1 # 12a_1262) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1262)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1262)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1262"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1262"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1262"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1262"}] Chiral false false false
a(4_1 # 12a_1263) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1263)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1263)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1263"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1263"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1263"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1263"}] Chiral false false false
a(4_1 # 12a_1264) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1264)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1264)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1264"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1264"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1264"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1264"}] Chiral false false false
a(4_1 # 12a_1265) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1265)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1265)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1265"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1265"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1265"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1265"}] Chiral false false false
a(4_1 # 12a_1266) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1266)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1266)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1266"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1266"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1266"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1266"}] Chiral false false false
a(4_1 # 12a_1267) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1267)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1267"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1267"}] Negative amphichiral false false true
a(4_1 # 12a_1268) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1268)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1268)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1268"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1268"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1268"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1268"}] Chiral false false false
a(4_1 # 12a_1269) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1269)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1269"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1269"}] Negative amphichiral false false true
a(4_1 # 12a_127) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_127)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_127)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_127"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_127"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_127"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_127"}] Chiral false false false
a(4_1 # 12a_1270) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1270)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1270)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1270"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1270"}] Chiral true false false
a(4_1 # 12a_1271) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1271)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1271)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1271"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1271"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1271"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1271"}] Chiral false false false
a(4_1 # 12a_1272) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1272)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1272)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1272"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1272"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_1272"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1272"}] Chiral false false false
a(4_1 # 12a_1273) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1273)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1273"}] Fully amphichiral true true true
a(4_1 # 12a_1274) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1274)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1274)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1274"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1274"}] Chiral true false false
a(4_1 # 12a_1275) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1275)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1275"}] Fully amphichiral true true true
a(4_1 # 12a_1276) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1276)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1276)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1276"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1276"}] Chiral true false false
a(4_1 # 12a_1277) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1277)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1277)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1277"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1277"}] Chiral true false false
a(4_1 # 12a_1278) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1278)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1278)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1278"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1278"}] Chiral true false false
a(4_1 # 12a_1279) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1279)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1279)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1279"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1279"}] Chiral true false false
a(4_1 # 12a_128) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_128)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_128)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_128"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_128"}] Chiral true false false
a(4_1 # 12a_1280) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1280)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1280"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_1280"}] Negative amphichiral false false true
a(4_1 # 12a_1281) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1281)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1281"}] Fully amphichiral true true true
a(4_1 # 12a_1282) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1282)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1282)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1282"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1282"}] Chiral true false false
a(4_1 # 12a_1283) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1283)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1283)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1283"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1283"}] Chiral true false false
a(4_1 # 12a_1284) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1284)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1284)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1284"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1284"}] Chiral true false false
a(4_1 # 12a_1285) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1285)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1285)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1285"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1285"}] Chiral true false false
a(4_1 # 12a_1286) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1286)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_1286)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1286"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_1286"}] Chiral true false false
a(4_1 # 12a_1287) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1287)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1287"}] Fully amphichiral true true true
a(4_1 # 12a_1288) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_1288)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_1288"}] Fully amphichiral true true true
a(4_1 # 12a_129) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_129)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_129)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_129"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_129"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_129"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_129"}] Chiral false false false
a(4_1 # 12a_13) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_13)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_13)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_13"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_13"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_13"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_13"}] Chiral false false false
a(4_1 # 12a_130) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_130)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_130)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_130"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_130"}] Chiral true false false
a(4_1 # 12a_131) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_131)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_131)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_131"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_131"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_131"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_131"}] Chiral false false false
a(4_1 # 12a_132) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_132)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_132)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_132"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_132"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_132"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_132"}] Chiral false false false
a(4_1 # 12a_133) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_133)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_133)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_133"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_133"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_133"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_133"}] Chiral false false false
a(4_1 # 12a_134) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_134)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_134)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_134"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_134"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_134"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_134"}] Chiral false false false
a(4_1 # 12a_135) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_135)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_135)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_135"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_135"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_135"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_135"}] Chiral false false false
a(4_1 # 12a_136) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_136)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_136)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_136"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_136"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_136"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_136"}] Chiral false false false
a(4_1 # 12a_137) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_137)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_137)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_137"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_137"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_137"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_137"}] Chiral false false false
a(4_1 # 12a_138) [{"dataset": "UnorientedKnots", "key": "u(4_1 # 12a_138)"}, {"dataset": "UnorientedKnots", "key": "u(4_1 # m12a_138)"}] [{"dataset": "OrientedKnots", "key": "4_1 # 12a_138"}, {"dataset": "OrientedKnots", "key": "4_1 # m12a_138"}, {"dataset": "OrientedKnots", "key": "4_1 # mr12a_138"}, {"dataset": "OrientedKnots", "key": "4_1 # r12a_138"}] Chiral false false false

100 rows shown · 1737894 matching rows · Unoriented Mirror Classes

First page · Next page →

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
namestringThe mirror-class catalogue name and dataset primary key.
unoriented_membersSet(RowRef(UnorientedKnots))References to the retained unoriented members.
oriented_membersSet(RowRef(OrientedKnots))References to the retained oriented members.
symmetrystringSymmetry classification, or Unknown when unresolved.
reversibleOption(bool)Reversibility from the recorded evidence; None means unknown.
positive_amphichiralOption(bool)Positive amphichirality; None means unknown.
negative_amphichiralOption(bool)Negative amphichirality; None means unknown.

Schema version: abeb4e0c1c41bf5c62a9540619a58cb7ce43b49d2e657f12ec8f2a8b02f60488 · Data version: 8cb3ba370b31630457dc3734f58f9f1eba7882b741bfee7c75c019abb928faa9

REST API

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

Schema: /api/v1/datasets/UnorientedMirrorClasses/schema

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