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 # 13a_4786) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4786)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4786)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4786"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4786"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4786"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4786"}] Chiral false false false
a(3_1 # 13a_4787) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4787)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4787)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4787"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4787"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4787"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4787"}] Chiral false false false
a(3_1 # 13a_4788) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4788)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4788)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4788"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4788"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4788"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4788"}] Chiral false false false
a(3_1 # 13a_4789) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4789)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4789)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4789"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4789"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4789"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4789"}] Chiral false false false
a(3_1 # 13a_479) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_479)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_479)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_479"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_479"}] Chiral true false false
a(3_1 # 13a_4790) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4790)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4790)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4790"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4790"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4790"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4790"}] Chiral false false false
a(3_1 # 13a_4791) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4791)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4791)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4791"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4791"}] Chiral true false false
a(3_1 # 13a_4792) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4792)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4792)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4792"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4792"}] Chiral true false false
a(3_1 # 13a_4793) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4793)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4793)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4793"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4793"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4793"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4793"}] Chiral false false false
a(3_1 # 13a_4794) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4794)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4794)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4794"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4794"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4794"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4794"}] Chiral false false false
a(3_1 # 13a_4795) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4795)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4795)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4795"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4795"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4795"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4795"}] Chiral false false false
a(3_1 # 13a_4796) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4796)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4796)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4796"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4796"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4796"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4796"}] Chiral false false false
a(3_1 # 13a_4797) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4797)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4797)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4797"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4797"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4797"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4797"}] Chiral false false false
a(3_1 # 13a_4798) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4798)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4798)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4798"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4798"}] Chiral true false false
a(3_1 # 13a_4799) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4799)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4799)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4799"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4799"}] Chiral true false false
a(3_1 # 13a_48) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_48)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_48)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_48"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_48"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_48"}] Chiral false false false
a(3_1 # 13a_480) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_480)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_480)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_480"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_480"}] Chiral true false false
a(3_1 # 13a_4800) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4800)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4800)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4800"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4800"}] Chiral true false false
a(3_1 # 13a_4801) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4801)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4801)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4801"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4801"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4801"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4801"}] Chiral false false false
a(3_1 # 13a_4802) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4802)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4802)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4802"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4802"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4802"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4802"}] Chiral false false false
a(3_1 # 13a_4803) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4803)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4803)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4803"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4803"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4803"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4803"}] Chiral false false false
a(3_1 # 13a_4804) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4804)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4804)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4804"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4804"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4804"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4804"}] Chiral false false false
a(3_1 # 13a_4805) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4805)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4805)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4805"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4805"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4805"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4805"}] Chiral false false false
a(3_1 # 13a_4806) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4806)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4806)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4806"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4806"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4806"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4806"}] Chiral false false false
a(3_1 # 13a_4807) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4807)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4807)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4807"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4807"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4807"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4807"}] Chiral false false false
a(3_1 # 13a_4808) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4808)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4808)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4808"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4808"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4808"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4808"}] Chiral false false false
a(3_1 # 13a_4809) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4809)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4809)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4809"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4809"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4809"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4809"}] Chiral false false false
a(3_1 # 13a_481) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_481)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_481)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_481"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_481"}] Chiral true false false
a(3_1 # 13a_4810) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4810)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4810)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4810"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4810"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4810"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4810"}] Chiral false false false
a(3_1 # 13a_4811) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4811)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4811)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4811"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4811"}] Chiral true false false
a(3_1 # 13a_4812) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4812)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4812)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4812"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4812"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4812"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4812"}] Chiral false false false
a(3_1 # 13a_4813) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4813)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4813)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4813"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4813"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4813"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4813"}] Chiral false false false
a(3_1 # 13a_4814) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4814)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4814)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4814"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4814"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4814"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4814"}] Chiral false false false
a(3_1 # 13a_4815) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4815)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4815)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4815"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4815"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4815"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4815"}] Chiral false false false
a(3_1 # 13a_4816) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4816)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4816)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4816"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4816"}] Chiral true false false
a(3_1 # 13a_4817) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4817)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4817)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4817"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4817"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4817"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4817"}] Chiral false false false
a(3_1 # 13a_4818) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4818)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4818)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4818"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4818"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4818"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4818"}] Chiral false false false
a(3_1 # 13a_4819) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4819)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4819)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4819"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4819"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4819"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4819"}] Chiral false false false
a(3_1 # 13a_482) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_482)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_482)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_482"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_482"}] Chiral true false false
a(3_1 # 13a_4820) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4820)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4820)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4820"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4820"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4820"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4820"}] Chiral false false false
a(3_1 # 13a_4821) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4821)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4821)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4821"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4821"}] Chiral true false false
a(3_1 # 13a_4822) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4822)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4822)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4822"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4822"}] Chiral true false false
a(3_1 # 13a_4823) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4823)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4823)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4823"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4823"}] Chiral true false false
a(3_1 # 13a_4824) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4824)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4824)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4824"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4824"}] Chiral true false false
a(3_1 # 13a_4825) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4825)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4825)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4825"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4825"}] Chiral true false false
a(3_1 # 13a_4826) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4826)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4826)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4826"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4826"}] Chiral true false false
a(3_1 # 13a_4827) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4827)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4827)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4827"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4827"}] Chiral true false false
a(3_1 # 13a_4828) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4828)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4828)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4828"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4828"}] Chiral true false false
a(3_1 # 13a_4829) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4829)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4829)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4829"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4829"}] Chiral true false false
a(3_1 # 13a_483) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_483)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_483)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_483"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_483"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_483"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_483"}] Chiral false false false
a(3_1 # 13a_4830) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4830)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4830)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4830"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4830"}] Chiral true false false
a(3_1 # 13a_4831) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4831)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4831)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4831"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4831"}] Chiral true false false
a(3_1 # 13a_4832) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4832)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4832)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4832"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4832"}] Chiral true false false
a(3_1 # 13a_4833) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4833)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4833)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4833"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4833"}] Chiral true false false
a(3_1 # 13a_4834) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4834)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4834)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4834"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4834"}] Chiral true false false
a(3_1 # 13a_4835) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4835)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4835)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4835"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4835"}] Chiral true false false
a(3_1 # 13a_4836) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4836)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4836)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4836"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4836"}] Chiral true false false
a(3_1 # 13a_4837) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4837)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4837)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4837"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4837"}] Chiral true false false
a(3_1 # 13a_4838) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4838)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4838)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4838"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4838"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4838"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4838"}] Chiral false false false
a(3_1 # 13a_4839) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4839)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4839)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4839"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4839"}] Chiral true false false
a(3_1 # 13a_484) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_484)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_484)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_484"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_484"}] Chiral true false false
a(3_1 # 13a_4840) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4840)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4840)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4840"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4840"}] Chiral true false false
a(3_1 # 13a_4841) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4841)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4841)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4841"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4841"}] Chiral true false false
a(3_1 # 13a_4842) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4842)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4842)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4842"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4842"}] Chiral true false false
a(3_1 # 13a_4843) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4843)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4843)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4843"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4843"}] Chiral true false false
a(3_1 # 13a_4844) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4844)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4844)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4844"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4844"}] Chiral true false false
a(3_1 # 13a_4845) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4845)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4845)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4845"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4845"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4845"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4845"}] Chiral false false false
a(3_1 # 13a_4846) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4846)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4846)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4846"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4846"}] Chiral true false false
a(3_1 # 13a_4847) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4847)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4847)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4847"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4847"}] Chiral true false false
a(3_1 # 13a_4848) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4848)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4848)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4848"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4848"}] Chiral true false false
a(3_1 # 13a_4849) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4849)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4849)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4849"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4849"}] Chiral true false false
a(3_1 # 13a_485) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_485)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_485)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_485"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_485"}] Chiral true false false
a(3_1 # 13a_4850) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4850)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4850)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4850"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4850"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4850"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4850"}] Chiral false false false
a(3_1 # 13a_4851) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4851)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4851)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4851"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4851"}] Chiral true false false
a(3_1 # 13a_4852) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4852)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4852)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4852"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4852"}] Chiral true false false
a(3_1 # 13a_4853) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4853)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4853)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4853"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4853"}] Chiral true false false
a(3_1 # 13a_4854) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4854)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4854)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4854"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4854"}] Chiral true false false
a(3_1 # 13a_4855) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4855)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4855)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4855"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4855"}] Chiral true false false
a(3_1 # 13a_4856) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4856)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4856)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4856"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4856"}] Chiral true false false
a(3_1 # 13a_4857) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4857)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4857)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4857"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4857"}] Chiral true false false
a(3_1 # 13a_4858) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4858)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4858)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4858"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4858"}] Chiral true false false
a(3_1 # 13a_4859) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4859)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4859)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4859"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4859"}] Chiral true false false
a(3_1 # 13a_486) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_486)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_486)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_486"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_486"}] Chiral true false false
a(3_1 # 13a_4860) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4860)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4860)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4860"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4860"}] Chiral true false false
a(3_1 # 13a_4861) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4861)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4861)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4861"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4861"}] Chiral true false false
a(3_1 # 13a_4862) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4862)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4862)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4862"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4862"}] Chiral true false false
a(3_1 # 13a_4863) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4863)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4863)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4863"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4863"}] Chiral true false false
a(3_1 # 13a_4864) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4864)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4864)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4864"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4864"}] Chiral true false false
a(3_1 # 13a_4865) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4865)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4865)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4865"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4865"}] Chiral true false false
a(3_1 # 13a_4866) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4866)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4866)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4866"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4866"}] Chiral true false false
a(3_1 # 13a_4867) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4867)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4867)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4867"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4867"}] Chiral true false false
a(3_1 # 13a_4868) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4868)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4868)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4868"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4868"}] Chiral true false false
a(3_1 # 13a_4869) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4869)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4869)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4869"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4869"}] Chiral true false false
a(3_1 # 13a_487) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_487)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_487)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_487"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_487"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_487"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_487"}] Chiral false false false
a(3_1 # 13a_4870) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4870)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4870)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4870"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4870"}] Chiral true false false
a(3_1 # 13a_4871) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4871)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4871)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4871"}, {"dataset": "OrientedKnots", "key": "3_1 # r13a_4871"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4871"}, {"dataset": "OrientedKnots", "key": "m3_1 # mr13a_4871"}] Chiral false false false
a(3_1 # 13a_4872) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4872)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4872)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4872"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4872"}] Chiral true false false
a(3_1 # 13a_4873) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4873)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4873)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4873"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4873"}] Chiral true false false
a(3_1 # 13a_4874) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4874)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4874)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4874"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4874"}] Chiral true false false
a(3_1 # 13a_4875) [{"dataset": "UnorientedKnots", "key": "u(3_1 # 13a_4875)"}, {"dataset": "UnorientedKnots", "key": "u(m3_1 # m13a_4875)"}] [{"dataset": "OrientedKnots", "key": "3_1 # 13a_4875"}, {"dataset": "OrientedKnots", "key": "m3_1 # m13a_4875"}] Chiral true false false

100 rows shown · 1737894 matching rows · Unoriented Mirror Classes

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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
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"