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(3_1 # 12a_1253) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1253)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1253)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1253"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1253"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1253"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1253"}] Chiral false false false
a(3_1 # 12a_1254) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1254)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1254)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1254"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1254"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1254"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_1254"}] Chiral false false false
a(3_1 # 12a_1255) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1255)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1255)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1255"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1255"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1255"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1255"}] Chiral false false false
a(3_1 # 12a_1256) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1256)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1256)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1256"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1256"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1256"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1256"}] Chiral false false false
a(3_1 # 12a_1257) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1257)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1257)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1257"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1257"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1257"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1257"}] Chiral false false false
a(3_1 # 12a_1258) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1258)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1258)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1258"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1258"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1258"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1258"}] Chiral false false false
a(3_1 # 12a_1259) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1259)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1259)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1259"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1259"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1259"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1259"}] Chiral false false false
a(3_1 # 12a_126) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_126)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_126)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_126"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_126"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_126"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_126"}] Chiral false false false
a(3_1 # 12a_1260) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1260)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1260)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1260"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1260"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1260"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_1260"}] Chiral false false false
a(3_1 # 12a_1261) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1261)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1261)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1261"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1261"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1261"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1261"}] Chiral false false false
a(3_1 # 12a_1262) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1262)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1262)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1262"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1262"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1262"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1262"}] Chiral false false false
a(3_1 # 12a_1263) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1263)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1263)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1263"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1263"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1263"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1263"}] Chiral false false false
a(3_1 # 12a_1264) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1264)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1264)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1264"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1264"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1264"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1264"}] Chiral false false false
a(3_1 # 12a_1265) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1265)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1265)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1265"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1265"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1265"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1265"}] Chiral false false false
a(3_1 # 12a_1266) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1266)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1266)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1266"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1266"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1266"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1266"}] Chiral false false false
a(3_1 # 12a_1267) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1267)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1267)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1267"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1267"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1267"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_1267"}] Chiral false false false
a(3_1 # 12a_1268) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1268)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1268)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1268"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1268"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1268"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1268"}] Chiral false false false
a(3_1 # 12a_1269) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1269)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1269)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1269"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1269"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1269"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_1269"}] Chiral false false false
a(3_1 # 12a_127) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_127)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_127)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_127"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_127"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_127"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_127"}] Chiral false false false
a(3_1 # 12a_1270) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1270)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1270)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1270"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1270"}] Chiral true false false
a(3_1 # 12a_1271) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1271)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1271)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1271"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1271"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1271"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1271"}] Chiral false false false
a(3_1 # 12a_1272) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1272)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1272)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1272"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1272"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1272"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_1272"}] Chiral false false false
a(3_1 # 12a_1273) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1273)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1273)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1273"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1273"}] Chiral true false false
a(3_1 # 12a_1274) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1274)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1274)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1274"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1274"}] Chiral true false false
a(3_1 # 12a_1275) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1275)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1275)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1275"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1275"}] Chiral true false false
a(3_1 # 12a_1276) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1276)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1276)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1276"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1276"}] Chiral true false false
a(3_1 # 12a_1277) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1277)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1277)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1277"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1277"}] Chiral true false false
a(3_1 # 12a_1278) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1278)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1278)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1278"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1278"}] Chiral true false false
a(3_1 # 12a_1279) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1279)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1279)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1279"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1279"}] Chiral true false false
a(3_1 # 12a_128) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_128)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_128)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_128"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_128"}] Chiral true false false
a(3_1 # 12a_1280) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1280)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1280)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1280"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_1280"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1280"}, {"dataset": "OrientedKnots", "key": "m3_1 # r12a_1280"}] Chiral false false false
a(3_1 # 12a_1281) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1281)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1281)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1281"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1281"}] Chiral true false false
a(3_1 # 12a_1282) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1282)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1282)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1282"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1282"}] Chiral true false false
a(3_1 # 12a_1283) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1283)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1283)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1283"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1283"}] Chiral true false false
a(3_1 # 12a_1284) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1284)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1284)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1284"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1284"}] Chiral true false false
a(3_1 # 12a_1285) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1285)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1285)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1285"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1285"}] Chiral true false false
a(3_1 # 12a_1286) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1286)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_1286)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1286"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_1286"}] Chiral true false false
a(3_1 # 12a_1287) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1287)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1287)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1287"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1287"}] Chiral true false false
a(3_1 # 12a_1288) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_1288)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # 12a_1288)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_1288"}, {"dataset": "OrientedKnots", "key": "m3_1 # 12a_1288"}] Chiral true false false
a(3_1 # 12a_129) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_129)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_129)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_129"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_129"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_129"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_129"}] Chiral false false false
a(3_1 # 12a_13) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_13)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_13)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_13"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_13"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_13"}] Chiral false false false
a(3_1 # 12a_130) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_130)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_130)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_130"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_130"}] Chiral true false false
a(3_1 # 12a_131) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_131)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_131)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_131"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_131"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_131"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_131"}] Chiral false false false
a(3_1 # 12a_132) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_132)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_132)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_132"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_132"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_132"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_132"}] Chiral false false false
a(3_1 # 12a_133) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_133)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_133)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_133"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_133"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_133"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_133"}] Chiral false false false
a(3_1 # 12a_134) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_134)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_134)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_134"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_134"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_134"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_134"}] Chiral false false false
a(3_1 # 12a_135) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_135)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_135)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_135"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_135"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_135"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_135"}] Chiral false false false
a(3_1 # 12a_136) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_136)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_136)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_136"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_136"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_136"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_136"}] Chiral false false false
a(3_1 # 12a_137) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_137)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_137)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_137"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_137"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_137"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_137"}] Chiral false false false
a(3_1 # 12a_138) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_138)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_138)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_138"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_138"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_138"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_138"}] Chiral false false false
a(3_1 # 12a_139) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_139)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_139)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_139"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_139"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_139"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_139"}] Chiral false false false
a(3_1 # 12a_14) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_14)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_14)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_14"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_14"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_14"}] Chiral false false false
a(3_1 # 12a_140) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_140)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_140)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_140"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_140"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_140"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_140"}] Chiral false false false
a(3_1 # 12a_141) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_141)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_141)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_141"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_141"}] Chiral true false false
a(3_1 # 12a_142) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_142)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_142)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_142"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_142"}] Chiral true false false
a(3_1 # 12a_143) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_143)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_143)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_143"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_143"}] Chiral true false false
a(3_1 # 12a_144) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_144)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_144)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_144"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_144"}] Chiral true false false
a(3_1 # 12a_145) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_145)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_145)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_145"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_145"}] Chiral true false false
a(3_1 # 12a_146) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_146)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_146)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_146"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_146"}] Chiral true false false
a(3_1 # 12a_147) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_147)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_147)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_147"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_147"}] Chiral true false false
a(3_1 # 12a_148) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_148)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_148)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_148"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_148"}] Chiral true false false
a(3_1 # 12a_149) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_149)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_149)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_149"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_149"}] Chiral true false false
a(3_1 # 12a_15) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_15)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_15)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_15"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_15"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_15"}] Chiral false false false
a(3_1 # 12a_150) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_150)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_150)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_150"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_150"}] Chiral true false false
a(3_1 # 12a_151) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_151)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_151)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_151"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_151"}] Chiral true false false
a(3_1 # 12a_152) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_152)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_152)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_152"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_152"}] Chiral true false false
a(3_1 # 12a_153) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_153)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_153)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_153"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_153"}] Chiral true false false
a(3_1 # 12a_154) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_154)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_154)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_154"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_154"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_154"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_154"}] Chiral false false false
a(3_1 # 12a_155) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_155)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_155)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_155"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_155"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_155"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_155"}] Chiral false false false
a(3_1 # 12a_156) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_156)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_156)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_156"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_156"}] Chiral true false false
a(3_1 # 12a_157) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_157)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_157)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_157"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_157"}] Chiral true false false
a(3_1 # 12a_158) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_158)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_158)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_158"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_158"}] Chiral true false false
a(3_1 # 12a_159) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_159)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_159)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_159"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_159"}] Chiral true false false
a(3_1 # 12a_16) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_16)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_16)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_16"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_16"}] Chiral true false false
a(3_1 # 12a_160) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_160)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_160)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_160"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_160"}] Chiral true false false
a(3_1 # 12a_161) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_161)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_161)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_161"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_161"}] Chiral true false false
a(3_1 # 12a_162) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_162)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_162)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_162"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_162"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_162"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_162"}] Chiral false false false
a(3_1 # 12a_163) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_163)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_163)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_163"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_163"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_163"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_163"}] Chiral false false false
a(3_1 # 12a_164) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_164)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_164)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_164"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_164"}] Chiral true false false
a(3_1 # 12a_165) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_165)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_165)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_165"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_165"}] Chiral true false false
a(3_1 # 12a_166) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_166)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_166)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_166"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_166"}] Chiral true false false
a(3_1 # 12a_167) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_167)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_167)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_167"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_167"}] Chiral true false false
a(3_1 # 12a_168) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_168)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_168)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_168"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_168"}] Chiral true false false
a(3_1 # 12a_169) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_169)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_169)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_169"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_169"}] Chiral true false false
a(3_1 # 12a_17) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_17)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_17)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_17"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_17"}] Chiral true false false
a(3_1 # 12a_170) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_170)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_170)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_170"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_170"}] Chiral true false false
a(3_1 # 12a_171) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_171)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_171)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_171"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_171"}] Chiral true false false
a(3_1 # 12a_172) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_172)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_172)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_172"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_172"}] Chiral true false false
a(3_1 # 12a_173) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_173)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_173)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_173"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_173"}] Chiral true false false
a(3_1 # 12a_174) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_174)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_174)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_174"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_174"}] Chiral true false false
a(3_1 # 12a_175) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_175)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_175)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_175"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_175"}] Chiral true false false
a(3_1 # 12a_176) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_176)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_176)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_176"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_176"}] Chiral true false false
a(3_1 # 12a_177) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_177)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_177)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_177"}, {"dataset": "OrientedKnots", "key": "3_1 # r12a_177"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_177"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr12a_177"}] Chiral false false false
a(3_1 # 12a_178) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_178)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_178)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_178"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_178"}] Chiral true false false
a(3_1 # 12a_179) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_179)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_179)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_179"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_179"}] Chiral true false false
a(3_1 # 12a_18) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_18)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_18)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_18"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_18"}] Chiral true false false
a(3_1 # 12a_180) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_180)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_180)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_180"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_180"}] Chiral true false false
a(3_1 # 12a_181) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_181)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_181)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_181"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_181"}] Chiral true false false
a(3_1 # 12a_182) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_182)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_182)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_182"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_182"}] Chiral true false false
a(3_1 # 12a_183) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 12a_183)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m12a_183)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 12a_183"}, {"dataset": "OrientedKnots", "key": "m3_1 # m12a_183"}] Chiral true 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"